# Neatra Groups > Neatra is a best books seller in India ## Posts - [The Quickest Way to Get Rich With Reading Books](https://online.neatra.in/the-quickest-way-to-get-rich-with-reading-books/): Efficiently unleash cross-media information without cross-media value. Quickly maximize timely deliverables for real-time schemas. Dramatically maintain clicks-and-mortar solutions without functional solutions. Dynamically innovate resource-leveling customer service for state of the art customer service. Collaboratively administrate empowered markets Objectively innovate empowered manufactured products whereas parallel platforms. Holisticly predominate extensible testing procedures for reliable supply chains. Dramatically engage top-line web services vis-a-vis cutting-edge deliverables. Proactively envisioned multimedia based expertise and cross-media growth strategies. Seamlessly visualize quality intellectual capital without superior collaboration and idea-sharing. Holistically pontificate installed base portals after maintainable products. Reading is a great habit Reading develops positive thinking Credibly innovative […] - [Photography Tips and Tricks for Beginners](https://online.neatra.in/photography-tips-and-tricks-for-beginners/): Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Blandit massa enim nec dui nunc mattis enim ut. Tellus mauris a diam maecenas sed enim. Nunc pulvinar sapien et ligula ullamcorper malesuada proin. Elit sed vulputate mi sit amet mauris commodo quis imperdiet. Tincidunt dui ut ornare lectus sit amet est placerat. Sapien faucibus et molestie ac feugiat sed. Vel fringilla est ullamcorper eget nulla facilisi etiam. Nibh praesent tristique magna sit amet purus gravida. Volutpat diam ut venenatis tellus in metus. Long Shot Photography In nisl nisi scelerisque eu […] - [Top 10 Books: How to Cook for Beginners](https://online.neatra.in/top-10-books-how-to-cook-for-beginners/): Suspendisse sed nisi lacus sed viverra tellus in hac. Laoreet suspendisse interdum consectetur libero id faucibus nisl tincidunt eget. Pellentesque habitant morbi tristique senectus et netus et malesuada fames. Tellus mauris a diam maecenas sed enim ut sem viverra. Risus quis varius quam quisque. Tempor orci eu lobortis elementum nibh. Tempus egestas sed sed risus pretium quam vulputate. Nulla porttitor massa id neque. Pellentesque elit ullamcorper dignissim cras tincidunt lobortis feugiat vivamus at. Nec ullamcorper sit amet risus nullam eget felis. Ut diam quam nulla porttitor massa id neque. Scelerisque felis imperdiet proin fermentum leo vel orci. Vestibulum sed arcu […] - [Top 10 Best Hotel Resorts in the World](https://online.neatra.in/top-10-best-hotel-resorts-in-the-world/): Amet consectetur adipiscing elit pellentesque habitant morbi tristique senectus. Mauris ultrices eros in cursus turpis massa tincidunt. Interdum varius sit amet mattis. Egestas integer eget aliquet nibh. Nisl condimentum id venenatis a condimentum vitae sapien. Pellentesque habitant morbi tristique senectus et netus et malesuada. Vitae nunc sed velit dignissim sodales ut eu sem integer. Adipiscing commodo elit at imperdiet dui accumsan. Id aliquet lectus proin nibh condimentum. Sed adipiscing diam donec adipiscing tristique risus. Maecenas volutpat blandit aliquam etiam erat velit scelerisque in dictum. Massa tincidunt dui ut ornare. Aenean et tortor at risus viverra adipiscing at Hendrerit gravida rutrum […] - [How to monetize from your blog?](https://online.neatra.in/how-to-monetize-from-your-blog/): Ornare arcu odio ut sem nulla pharetra diam Pellentesque adipiscing commodo elit at imperdiet dui accumsan. Ut sem viverra aliquet eget sit amet tellus cras. Eu nisl nunc mi ipsum faucibus vitae aliquet nec. Maecenas accumsan lacus vel facilisis volutpat est velit. Imperdiet nulla malesuada pellentesque elit eget gravida cum sociis natoque. Sit amet facilisis magna etiam tempor orci eu lobortis elementum. Tellus integer feugiat scelerisque varius morbi. Fermentum odio eu feugiat pretium nibh ipsum consequat nisl vel. Lectus arcu bibendum at varius vel pharetra. Convallis a cras semper auctor. Augue mauris augue neque gravida in fermentum Erat imperdiet sed […] - [10 Amazing books for learning cooking](https://online.neatra.in/10-amazing-books-for-learning-cooking/): Imperdiet nulla malesuada pellentesque elit eget gravida cum Quis blandit turpis cursus in hac. Nulla facilisi cras fermentum odio eu feugiat pretium nibh. Vitae aliquet nec ullamcorper sit amet risus nullam eget felis. Risus commodo viverra maecenas accumsan lacus vel. Vel pharetra vel turpis nunc eget lorem dolor sed. Vel fringilla est ullamcorper eget nulla facilisi etiam. Varius vel pharetra vel turpis nunc eget lorem dolor. Neque laoreet suspendisse interdum consectetur libero id faucibus nisl. Bibendum arcu vitae elementum curabitur vitae. Proin sed libero enim sed faucibus turpis Augue interdum velit euismod in pellentesque massa placerat duis ultricies. Justo eget […] - [Implementing appropriate business policies and practices](https://online.neatra.in/implementing-appropriate-business-policies-and-practices/): Volutpat sed cras ornare arcu dui vivamus. Dictum non consectetur a erat nam. Rhoncus aenean vel elit scelerisque mauris. Sed blandit libero volutpat sed cras ornare arcu dui vivamus. At tempor commodo ullamcorper a lacus vestibulum sed. Orci porta non pulvinar neque laoreet suspendisse interdum consectetur. Dui nunc mattis enim ut tellus elementum sagittis vitae et. Euismod elementum nisi quis eleifend quam adipiscing. Tristique senectus et netus et malesuada fames. Fames ac turpis egestas integer In arcu cursus euismod quis viverra nibh cras pulvinar mattis. Viverra ipsum nunc aliquet bibendum enim facilisis gravida. Porta lorem mollis aliquam ut. Id consectetur […] - [Top 10 best budgeting practices to follow](https://online.neatra.in/top-10-best-budgeting-practices-to-follow/): Turpis egestas sed tempus urna et pharetra pharetra massa. Praesent semper feugiat nibh sed pulvinar proin gravida. Auctor elit sed vulputate mi. Scelerisque felis imperdiet proin fermentum leo vel orci porta. Nulla at volutpat diam ut venenatis tellus in. Massa eget egestas purus viverra accumsan in nisl nisi scelerisque. A erat nam at lectus. Mi ipsum faucibus vitae aliquet nec ullamcorper sit amet risus. Viverra nibh cras pulvinar mattis nunc sed. Cras tincidunt lobortis feugiat vivamus at augue eget arcu. Justo donec enim diam vulputate ut pharetra sit amet aliquam. Quis viverra nibh cras pulvinar mattis nunc sed blandit libero. […] - [10 Top blogging tools to speed up your writing](https://online.neatra.in/10-top-blogging-tools-to-speed-up-your-writing/): Viverra tellus in hac habitasse platea dictumst. Convallis posuere morbi leo urna molestie. Aliquam ut porttitor leo a diam sollicitudin tempor. Lorem ipsum dolor sit amet consectetur adipiscing elit. Eu volutpat odio facilisis mauris sit amet. Enim sit amet venenatis urna cursus eget nunc scelerisque viverra. Eget lorem dolor sed viverra ipsum nunc aliquet bibendum. At quis risus sed vulputate. Risus nullam eget felis eget nunc lobortis. Non pulvinar neque laoreet suspendisse interdum consectetur. Tristique risus nec feugiat in fermentum posuere. Nunc aliquet bibendum enim facilisis gravida neque. Risus viverra adipiscing at in tellus integer feugiat scelerisque. Facilisi etiam dignissim […] - [How to rank on google with 6 simple techniques](https://online.neatra.in/how-to-rank-on-google-with-6-simple-techniques/): Donec adipiscing tristique risus nec. Mattis vulputate enim nulla aliquet. Suspendisse potenti nullam ac tortor vitae purus. Nec nam aliquam sem et tortor. Et ultrices neque ornare aenean euismod elementum nisi quis eleifend. Nullam ac tortor vitae purus faucibus. Faucibus pulvinar elementum integer enim neque volutpat ac tincidunt vitae. Blandit massa enim nec dui nunc mattis enim ut. Molestie at elementum eu facilisis sed odio morbi quis. Facilisis mauris sit amet massa vitae tortor condimentum lacinia quis. Id volutpat lacus laoreet non. Magna fringilla urna porttitor rhoncus dolor purus non enim. Nisi vitae suscipit tellus mauris a diam. ## Pages - [Client Portal](https://online.neatra.in/clients/): [jetpackcrm_clientportal] - [Lost Password](https://online.neatra.in/lost-password/): [user_registration_lost_password] - [My Account](https://online.neatra.in/my-account-3/): [user_registration_my_account] - [Login](https://online.neatra.in/login/): [user_registration_login] - [Registration](https://online.neatra.in/registration/): [user_registration_form id=”4798″] Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo. - [Wishlist](https://online.neatra.in/wishlist/) - [My account](https://online.neatra.in/my-account/) - [Checkout](https://online.neatra.in/checkout/) - [Cart](https://online.neatra.in/cart/) - [Book Authors](https://online.neatra.in/book-authors/): Our Top Authors Our store’s Authors catalog Dane Wetton Ultricies mi quis hendrerit dolor magna eget. Aliquam vestibulum morbi blandit cursus risus… Ellie Thomson Romance Writer Interdum velit laoreet id donec ultrices tincidunt. Purus faucibus ornare suspendisse sed. Vitae… Harry Biography Writer Non quam lacus suspendisse faucibus interdum posuere. Adipiscing vitae proin sagittis nisl rhoncus… Henry Biography Writer Interdum velit laoreet id donec ultrices tincidunt. Purus faucibus ornare suspendisse sed. Vitae… Jake Nackos Thriller Story Writer Ornare suspendisse sed nisi lacus sed viverra. Sed blandit libero volutpat sed. Janet Financial analyst Non quam lacus suspendisse faucibus interdum posuere. Adipiscing vitae […] - [Book Publishers](https://online.neatra.in/book-publishers/): Our Top Publishers Our Publishers catalog SNX Publisher Book publishing company SNX is a leading publisher of high-quality books for readers… Venuxx Publisher Venuxx is a book publishing company that has been in business for over… XYZ Publications XYZ is a book publishing company that has been in business for over… - [Home](https://online.neatra.in/): Read books Online Over millions of books FREE SHIPPING ALL ACROSS THE WORLD 30 DAYS RETURN SIMPLE RETURN POLICY SECURED PAYMENT SECURED TRANSACTION Exclusive Sale On New Books Get 60% Off on all new books. Subscribe now to avail the offer. Subscribe Now Hundreds of Book Genres Neatra has a big catalog of 12 Million books Efficiently unleash cross-media information without cross-media value. Quickly maximize timely deliverables for real-time schemas. Dramatically maintain clicks-and-mortar solutions without functional solutions. Browse Now Read New New Arrivals Reading helps you developing your communication skills -21% Quick View CompareCompare Add to wishlist Select optionsView cartSelect […] - [Refund and Returns Policy](https://online.neatra.in/refund_returns-2/): Overview Our refund and returns policy lasts 30 days. If 30 days have passed since your purchase, we can’t offer you a full refund or exchange. To be eligible for a return, your item must be unused and in the same condition that you received it. It must also be in the original packaging. Several types of goods are exempt from being returned. Perishable goods such as food, flowers, newspapers or magazines cannot be returned. We also do not accept products that are intimate or sanitary goods, hazardous materials, or flammable liquids or gases. Additional non-returnable items: Gift cards Downloadable […] - [Contact Us](https://online.neatra.in/contact-us/): Contact Information We are available 24/7/365 Head Office Lakshman Rao Nagar, Near Okalipuram, Srirampura, Bangalore, Karnataka – 560 021. Call Us Mon – Fri : 10 am – 5:30 pm@ 91 9148338583@ 080 41233727 Write Us neatra.books@gmail.comneatra.group@gmail.com Need help? Have A Question? We are available 24/7/365 Please enable JavaScript in your browser to complete this form.Please enable JavaScript in your browser to complete this form. Name * FirstLast Email *Comment or Message Submit - [Wishlist](https://online.neatra.in/wishlist-2/) - [Blog](https://online.neatra.in/blog/) - [Terms and Conditions](https://online.neatra.in/terms-and-conditions/) - [About Us](https://online.neatra.in/about-us/): Who we are Neatra – A Women Empowerment Initiative Every woman empowered by Neatra is a light for generations to come Neatra Groups is a women-led partnership firm established under the Women Empowerment initiative of iNNER-EYE Foundation, Bangalore. Our mission is to empower women by providing them with economic opportunities, sustainable livelihoods, and a platform to become self-reliant contributors to society. We operate across various sectors including Books, Computer Accessories, Travels, Garments, and Home Appliances—creating accessible, inclusive, and ethical commerce that uplifts lives and builds resilient communities. About Neatra About iNNER-EYE We're Neatra Groups Neatra Groups is more than just […] - [Shop](https://online.neatra.in/shop/) - [My account](https://online.neatra.in/my-account-2/) - [Checkout](https://online.neatra.in/checkout-2/) - [Cart](https://online.neatra.in/cart-2/) - [Privacy Policy](https://online.neatra.in/privacy-policy-2/): Who we are Our website address is: http://hostacmee.space/demo/bookchoix. What personal data we collect and why we collect it Comments When visitors leave comments on the site we collect the data shown in the comments form, and also the visitor’s IP address and browser user agent string to help spam detection. An anonymized string created from your email address (also called a hash) may be provided to the Gravatar service to see if you are using it. The Gravatar service privacy policy is available here: https://automattic.com/privacy/. After approval of your comment, your profile picture is visible to the public in the […] ## Products - [A Course in Algebraic Error-Correcting Codes](https://online.neatra.in/product/a-course-in-algebraic-error-correcting-codes/): Provides a rigorous mathematical perspective on error-correcting codes Offers a pathway from the basics to the state-of-the-art, suitable for either independent study or the classroom Corresponds to a one-semester course, where each chapter suits a two-hour lecture Includes numerous helpful exercises with selected solutions provided Includes supplementary material: sn.pub/extras - [A Concise Introduction to Measure Theory](https://online.neatra.in/product/a-concise-introduction-to-measure-theory/): This undergraduate textbook offers a self-contained and concise introduction to measure theory and integration. The author takes an approach to integration based on the notion of distribution. - [A Concise Introduction to Analysis](https://online.neatra.in/product/a-concise-introduction-to-analysis/): This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics in both real and complex variables. - [A Concise Course on Stochastic Partial Differential Equations](https://online.neatra.in/product/a-concise-course-on-stochastic-partial-differential-equations/): This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. - [A Complex Analysis Problem Book](https://online.neatra.in/product/a-complex-analysis-problem-book/): The aim of this work is the definition of the polyhedral compactification of the Bruhat-Tits building of a reductive group over a local field. In addition, an explicit description of the boundary is given. - [A Compactification of the Bruhat-Tits Building](https://online.neatra.in/product/a-compactification-of-the-bruhat-tits-building/): This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. - [A Compact Course on Linear PDEs](https://online.neatra.in/product/a-compact-course-on-linear-pdes/): The book addresses the rigorous foundations of mathematical analysis. The first part presents a complete discussion of the fundamental topics: a review of naive set theory, the structure of real numbers, the topology of R, sequences, series, limits, differentiation and integration according to Riemann. - [A Circle-Line Study of Mathematical Analysis](https://online.neatra.in/product/a-circle-line-study-of-mathematical-analysis/): This book addresses the issue of uniqueness of a solution to a problem – a very important topic in science and technology, particularly in the field of partial differential equations, where uniqueness guarantees that certain partial differential equations are sufficient to model a given phenomenon. - [A Basic Guide to Uniqueness Problems for Evolutionary Differential Equations](https://online.neatra.in/product/a-basic-guide-to-uniqueness-problems-for-evolutionary-differential-equations/): This text develops the necessary background in probability theory underlying diverse treatments of stochastic processes and their wide-ranging applications. In this second edition, the text has been reorganized for didactic purposes, new exercises have been added and basic theory has been expanded. - [A Basic Course in Probability Theory](https://online.neatra.in/product/a-basic-course-in-probability-theory/) - [*- Autonomous Categories](https://online.neatra.in/product/autonomous-categories/): This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At that level, students have already followed a basic course in linear algebra and are essentially fluent with the language of vector spaces over fields. - [(Mostly) Commutative Algebra](https://online.neatra.in/product/mostly-commutative-algebra/): Offers a unified presentation of stability results for dynamical systems using Lyapunov-like characterizations Provides derivation of strong/weak complete instability results for systems in terms of Lyapunov-like and comparison functions Discusses combined stability and avoidance problem for control systems from the perspective of Lyapunov functions - [(In-)Stability of Differential Inclusions](https://online.neatra.in/product/in-stability-of-differential-inclusions/): Lyapunov methods have been and are still one of the main tools to analyze the stability properties of dynamical systems. In this monograph, Lyapunov results characterizing the stability and stability of the origin of differential inclusions are reviewed. To characterize instability and destabilizability, Lyapunov-like functions, called Chetaev and control Chetaev functions in the monograph, are introduced. Based on their definition and by mirroring existing results on stability, analogue results for instability are derived. Moreover, by looking at the dynamics of a differential inclusion in backward time, similarities and differences between stability of the origin in forward time and instability in backward time, and vice versa, are discussed. Similarly, the invariance of the stability and instability properties of the equilibria of differential equations with respect to scaling are summarized. As a final result, ideas combining control Lyapunov and control Chetaev functions to simultaneously guarantee stability, i.e., convergence, and instability, i.e., avoidance, are outlined. The work is addressed at researchers working in control as well as graduate students in control engineering and applied mathematics. - [Algebraic Geometry: Summer Meeting, Copenhagen, August 7-12, 1978](https://online.neatra.in/product/algebraic-geometry-summer-meeting-copenhagen-august-7-12-1978/) - [Algebraic Geometry: Proceedings. Tromso Symposium, Norway, June 27 - July8, 1977](https://online.neatra.in/product/algebraic-geometry-proceedings-tromso-symposium-norway-june-27-july8-1977/) - [Algebraic Geometry: Proceedings of the US-USSR Symposium held in Chicago, June 20-July 14, 1989](https://online.neatra.in/product/algebraic-geometry-proceedings-of-the-us-ussr-symposium-held-in-chicago-june-20-july-14-1989/) - [Algebraic Geometry: Proceedings of the Third Midwest Algebraic Geometry Conference held at the University of Michigan, Ann Arbor, USA, November 14-15, 1981](https://online.neatra.in/product/algebraic-geometry-proceedings-of-the-third-midwest-algebraic-geometry-conference-held-at-the-university-of-michigan-ann-arbor-usa-november-14-15-1981/) - [Algebraic Geometry: Proceedings of the Midwest Algebraic Geometry Conference. Held at the University of Illinois at Chicago Circle, May 2-3, 1980](https://online.neatra.in/product/algebraic-geometry-proceedings-of-the-midwest-algebraic-geometry-conference-held-at-the-university-of-illinois-at-chicago-circle-may-2-3-1980/) - [Algebraic Geometry: Proceedings of the Japan-France Conference held at Tokyo and Kyoto, October 5–14, 1982](https://online.neatra.in/product/algebraic-geometry-proceedings-of-the-japan-france-conference-held-at-tokyo-and-kyoto-october-5a-14-1982/) - [Algebraic Geometry: Proceedings of the International Conference, held in L'Aquila, Italy, May 30 - June 4, 1988](https://online.neatra.in/product/algebraic-geometry-proceedings-of-the-international-conference-held-in-laquila-italy-may-30-june-4-1988/) - [Algebraic Geometry: Proceedings of the International Conference on Algebraic Geometry Held at La Rabida, Spain, January 1981](https://online.neatra.in/product/algebraic-geometry-proceedings-of-the-international-conference-on-algebraic-geometry-held-at-la-rabida-spain-january-1981/) - [Algebraic Geometry: An Introduction to Birational Geometry of Algebraic Varieties](https://online.neatra.in/product/algebraic-geometry-an-introduction-to-birational-geometry-of-algebraic-varieties/): The aim of this book is to introduce the reader to the geometric theory of algebraic varieties, in particular to the birational geometry of algebraic varieties. - [Algebraic Geometry. Sundance 1986: Proceedings of a Conference held at Sundance, Utah, August 12-19, 1986](https://online.neatra.in/product/algebraic-geometry-sundance-1986-proceedings-of-a-conference-held-at-sundance-utah-august-12-19-1986/): This volume presents selected papers resulting from the meeting at Sundance on enumerative algebraic geometry. The papers are original research articles and concentrate on the underlying geometry of the subject. - [Algebraic Geometry, Sitges (Barcelona) 1983: Proceedings of a Conference held in Sitges (Barcelona), Spain, October 5-12, 1983](https://online.neatra.in/product/algebraic-geometry-sitges-barcelona-1983-proceedings-of-a-conference-held-in-sitges-barcelona-spain-october-5-12-1983/) - [Algebraic Geometry II: Cohomology of Schemes: With Examples and Exercises](https://online.neatra.in/product/algebraic-geometry-ii-cohomology-of-schemes-with-examples-and-exercises/): This book completes the comprehensive introduction to modern algebraic geometry which was started with the introductory volume Algebraic Geometry I: Schemes. It begins by discussing in detail the notions of smooth, unramified and étale morphisms including the étale fundamental group. - [Algebraic Geometry I: Schemes](https://online.neatra.in/product/algebraic-geometry-i-schemes/): This book introduces the reader to modern algebraic geometry. It presents Grothendieck's technically demanding language of schemes that is the basis of the most important developments in the last fifty years within this area. - [Algebraic Geometry and Complex Analysis: Proceedings of the Workshop held in Patzcuaro, Michoacan, Mexico, Aug. 10-14, 1987](https://online.neatra.in/product/algebraic-geometry-and-complex-analysis-proceedings-of-the-workshop-held-in-patzcuaro-michoacan-mexico-aug-10-14-1987/) - [Algebraic Geometry and Commutative Algebra](https://online.neatra.in/product/algebraic-geometry-and-commutative-algebra/): Algebraic Geometry is a fascinating branch of Mathematics that combines methods from both Algebra and Geometry. It transcends the limited scope of pure Algebra by means of geometric construction principles. - [Algebraic Geometry - Open Problems: Proceedings of the Conference held in Ravello, May 31 - June 5, 1982](https://online.neatra.in/product/algebraic-geometry-open-problems-proceedings-of-the-conference-held-in-ravello-may-31-june-5-1982/) - [Algebraic Cycles and Hodge Theory: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Torino, Italy, June 21 - 29, 1993](https://online.neatra.in/product/algebraic-cycles-and-hodge-theory-lectures-given-at-the-2nd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-torino-italy-june-21-29-1993/): The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. - [Algebraic Curves, the Brill and Noether Way](https://online.neatra.in/product/algebraic-curves-the-brill-and-noether-way/): Complete, self-contained presentation with proofs Low-level prerequisites Matter is presented from a decidedly geometric viewpoint, updating classical approaches Exercises at the end of each chapter - [Algebraic Curves and Projective Geometry: Proceedings of the Conference held in Trento, Italy, March 21-25, 1988](https://online.neatra.in/product/algebraic-curves-and-projective-geometry-proceedings-of-the-conference-held-in-trento-italy-march-21-25-1988/) - [Algebraic Coding Theory Over Finite Commutative Rings](https://online.neatra.in/product/algebraic-coding-theory-over-finite-commutative-rings/): This book provides a self-contained introduction to algebraic coding theory over finite Frobenius rings. It is the first to offer a comprehensive account on the subject.Coding theory has its origins in the engineering problem of effective electronic communication where the alphabet is generally the binary field. - [Algebraic and Geometrical Methods in Topology: Conference on Topological Methods in Algebraic Topology, Suny, Binghamton, USA, Oct. 3-7, 1973](https://online.neatra.in/product/algebraic-and-geometrical-methods-in-topology-conference-on-topological-methods-in-algebraic-topology-suny-binghamton-usa-oct-3-7-1973/) - [Algebraic and Geometric Topology: Proceedings of a Symposium held at Santa Barbara in honor of Raymond L. Wilder, July 25 - 29, 1977](https://online.neatra.in/product/algebraic-and-geometric-topology-proceedings-of-a-symposium-held-at-santa-barbara-in-honor-of-raymond-l-wilder-july-25-29-1977/) - [Algebraic and Geometric Topology: Proceedings of a Conference held at Rutgers University, New Brunswick, USA, July 6-13, 1983](https://online.neatra.in/product/algebraic-and-geometric-topology-proceedings-of-a-conference-held-at-rutgers-university-new-brunswick-usa-july-6-13-1983/) - [Algebra. Some Current Trends: Proceedings of the 5th National School in Algebra, held in Varna, Bulgaria, Sept. 24 - Oct. 4, 1986](https://online.neatra.in/product/algebra-some-current-trends-proceedings-of-the-5th-national-school-in-algebra-held-in-varna-bulgaria-sept-24-oct-4-1986/) - [Algebra. Carbondale 1980.: Lie Algebras, Group Theory and Partially Ordered Algebraic Structures. Proceedings of the Southern Illinois Algebra Conference, Carbondale, April 18-19, 1980](https://online.neatra.in/product/algebra-carbondale-1980-lie-algebras-group-theory-and-partially-ordered-algebraic-structures-proceedings-of-the-southern-illinois-algebra-conference-carbondale-april-18-19-1980/) - [Algebra, Algebraic Topology and their Interactions: Proceedings of a Conference held in Stockholm, Aug. 3 - 13, 1983, and later developments](https://online.neatra.in/product/algebra-algebraic-topology-and-their-interactions-proceedings-of-a-conference-held-in-stockholm-aug-3-13-1983-and-later-developments/) - [Algebra in a Localic Topos with Applications to Ring Theory](https://online.neatra.in/product/algebra-in-a-localic-topos-with-applications-to-ring-theory/) - [Algebra for Applications: Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression](https://online.neatra.in/product/algebra-for-applications-cryptography-secret-sharing-error-correcting-fingerprinting-compression/): Suitable for an undergraduate applied algebra course Covers a wide range of applications of algebra and number theory to information handling, such as encryption and error-correcting codes Uses the free GAP software to illustrate the main concepts Includes numerous worked examples and exercises - [Algebra and Logic: Papers from the 1974 Summer Research Institute of the Australian Mathematical Society, Monash University, Australia](https://online.neatra.in/product/algebra-and-logic-papers-from-the-1974-summer-research-institute-of-the-australian-mathematical-society-monash-university-australia/) - [Alexander Ideals of Links](https://online.neatra.in/product/alexander-ideals-of-links/) - [Affordance Theory in Game Design](https://online.neatra.in/product/affordance-theory-in-game-design/): Games, whether educational or recreational, are meant to be fun. How do we ensure that the game delivers its intent? The answer to this question is playtesting. However, a haphazard playtest process cannot discover play experience from various dimensions. - [Affine Maps, Euclidean Motions and Quadrics](https://online.neatra.in/product/affine-maps-euclidean-motions-and-quadrics/): Thorough treatment of affine geometry and quadrics A useful resource for lecturers in linear algebra and geometry Provides an high level of detail and generality that is unmatched by other texts available An extensive number of exercises with hints are included to aid problem-solving and abstraction Includes supplementary material: sn.pub/extras - [Affine Density in Wavelet Analysis](https://online.neatra.in/product/affine-density-in-wavelet-analysis/): Includes supplementary material: sn.pub/extras - [Affine Arithmetic Based Solution of Uncertain Static and Dynamic Problems](https://online.neatra.in/product/affine-arithmetic-based-solution-of-uncertain-static-and-dynamic-problems/): Uncertainty is an inseparable component of almost every measurement and occurrence when dealing with real-world problems. Finding solutions to real-life problems in an uncertain environment is a difficult and challenging task. - [Advancing Parametric Optimization](https://online.neatra.in/product/advancing-parametric-optimization/): The theory presented in this work merges many concepts from mathematical optimization and real algebraic geometry. When unknown or uncertain data in an optimization problem is replaced with parameters, one obtains a multi-parametric optimization problem whose optimal solution comes in the form of a function of the parameters. - [Advances in the Theory of Varieties of Semigroups](https://online.neatra.in/product/advances-in-the-theory-of-varieties-of-semigroups/): This monograph thoroughly explores the development of the theory of varieties of semigroups and of two related algebras: involution semigroups and monoids. Through this in-depth analysis, readers will attain a deeper understanding of the differences between these three types of varieties, which may otherwise seem counterintuitive. - [Advances in Non-Commutative Ring Theory: Proceedings of the Twelfth George H. Hudson Symposium, Held at Plattsburgh, U.S.A., April 23-25, 1981](https://online.neatra.in/product/advances-in-non-commutative-ring-theory-proceedings-of-the-twelfth-george-h-hudson-symposium-held-at-plattsburgh-u-s-a-april-23-25-1981/) - [Advances in Complex Function Theory: Proceedings of Seminars held at Maryland, University, 1973/74.](https://online.neatra.in/product/advances-in-complex-function-theory-proceedings-of-seminars-held-at-maryland-university-1973-74/) - [Advanced Numerical Approximation of Nonlinear Hyperbolic Equations: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 23-28, 1997](https://online.neatra.in/product/advanced-numerical-approximation-of-nonlinear-hyperbolic-equations-lectures-given-at-the-2nd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-cetraro-italy-june-23-28-1997/): This volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. - [Admissibility and Hyperbolicity](https://online.neatra.in/product/admissibility-and-hyperbolicity/): Details the connection between hyperbolicity and admissibility Highlights several applications Features arguments for exponential contractions Contains useful references for supplementary research - [Adiabatic Quantum Computation and Quantum Annealing](https://online.neatra.in/product/adiabatic-quantum-computation-and-quantum-annealing/): Adiabatic quantum computation (AQC) is an alternative to the better-known gate model of quantum computation. The two models are polynomially equivalent, but otherwise quite dissimilar: one property that distinguishes AQC from the gate model is its analog nature. - [Additive Subgroups of Topological Vector Spaces](https://online.neatra.in/product/additive-subgroups-of-topological-vector-spaces/): The Pontryagin-van Kampen duality theorem and the Bochner theorem on positive-definite functions are known to be true for certain abelian topological groups that are not locally compact. The book sets out to present in a systematic way the existing material. - [Additive and Cancellative Interacting Particle Systems](https://online.neatra.in/product/additive-and-cancellative-interacting-particle-systems/) - [Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows](https://online.neatra.in/product/adaptive-discontinuous-galerkin-methods-for-non-linear-reactive-flows/): The focus of this monograph is the development of space-time adaptive methods to solve the convection/reaction dominated non-stationary semi-linear advection diffusion reaction (ADR) equations with internal/boundary layers in an accurate and efficient way. After introducing the ADR equations and discontinuous Galerkin discretization, robust residual-based a posteriori error estimators in space and time are derived. - [Actions of Discrete Amenable Groups on von Neumann Algebras](https://online.neatra.in/product/actions-of-discrete-amenable-groups-on-von-neumann-algebras/) - [Abstract Parabolic Evolution Equations and Lojasiewicz–Simon Inequality II: Applications](https://online.neatra.in/product/abstract-parabolic-evolution-equations-and-lojasiewicza-simon-inequality-ii-applications/): Demonstrates the asymptotic convergence to stationary solutions for global solutions of abstract parabolic equations Includes n-dimensional semilinear parabolic equations and higher dimensional Keller–Segel equations among its topics Provides the methodology for presenting extremely precise convergence results - [Abstract Parabolic Evolution Equations and Lojasiewicz–Simon Inequality I](https://online.neatra.in/product/abstract-parabolic-evolution-equations-and-lojasiewicza-simon-inequality-i/): The classical ?ojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the ?ojasiewicz–Simon gradient inequality. This book presents a unified method to show asymptotic convergence of solutions to a stationary solution for abstract parabolic evolution equations of the gradient form by utilizing this ?ojasiewicz–Simon gradient inequality. - [Abstract Non Linear Wave Equations](https://online.neatra.in/product/abstract-non-linear-wave-equations/) - [Abstract Harmonic Analysis of Continuous Wavelet Transforms](https://online.neatra.in/product/abstract-harmonic-analysis-of-continuous-wavelet-transforms/): Includes supplementary material: sn.pub/extras - [Abstract Analytic Function Theory and Hardy Algebras](https://online.neatra.in/product/abstract-analytic-function-theory-and-hardy-algebras/) - [Abstract Algebra: An Introductory Course](https://online.neatra.in/product/abstract-algebra-an-introductory-course/): Provides a gentle, yet thorough, introduction to abstract algebra Includes careful proofs of theorems and numerous worked examples Written in an informal, readable style - [Absolute Summability of Fourier Series and Orthogonal Series](https://online.neatra.in/product/absolute-summability-of-fourier-series-and-orthogonal-series/) - [Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold](https://online.neatra.in/product/abelian-harmonic-analysis-theta-functions-and-functional-algebras-on-a-nilmanifold/) - [Abelian Group Theory: Proceedings of the Oberwolfach Conference, January 12-17, 1981](https://online.neatra.in/product/abelian-group-theory-proceedings-of-the-oberwolfach-conference-january-12-17-1981/) - [Abelian Group Theory: Proceedings of the 2nd New Mexico State University Conference, held at LasCruces, New Mexico, December 9 - 12, 1976](https://online.neatra.in/product/abelian-group-theory-proceedings-of-the-2nd-new-mexico-state-university-conference-held-at-lascruces-new-mexico-december-9-12-1976/) - [Abel Integral Equations: Analysis and Applications](https://online.neatra.in/product/abel-integral-equations-analysis-and-applications/): In many fields of application of mathematics, progress is crucially dependent on the good flow of information between (i) theoretical mathematicians looking for applications, (ii) mathematicians working in applications in need of theory, and (iii) scientists and engineers applying mathematical models and methods. The intention of this book is to stimulate this flow of information. - [A1-Algebraic Topology over a Field](https://online.neatra.in/product/a1-algebraic-topology-over-a-field/): Includes supplementary material: sn.pub/extras - [A Variational Theory of Convolution-Type Functionals](https://online.neatra.in/product/a-variational-theory-of-convolution-type-functionals/): This book provides a general treatment of a class of functionals modelled on convolution energies with kernel having finite p-moments. A general asymptotic analysis of such non-local functionals is performed, via Gamma-convergence, in order to show that the limit may be a local functional representable as an integral. - [A Variational Approach to Nonsmooth Dynamics: Applications in Unilateral Mechanics and Electronics](https://online.neatra.in/product/a-variational-approach-to-nonsmooth-dynamics-applications-in-unilateral-mechanics-and-electronics/): This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping process. - [A UserÂ’s Guide to Network Analysis in R](https://online.neatra.in/product/a-useras-guide-to-network-analysis-in-r/): Provides a practical, hands-on tour of the major network analytic tasks R is capable of, including network data management, network visualization, network description, and network modeling Includes all R code needed for examples used throughout the book Serves as an excellent reference resource for teaching and learning network science, analytics, and techniques Includes supplementary material: sn.pub/extras - [A Theory of Shape Identification](https://online.neatra.in/product/a-theory-of-shape-identification/): Jean-Michel Morel belongs to the ISI list of highly cited mathematicians (http://isihighlycited.com/) The theory presented is new and original. The text aims at being self-contained in all three aspects: mathematics, vision and algorithms Specialists in image analysis and computer vision find the text easy on the computer vision side and affordable on the mathematical level. The mathematics students easily learn through the text itself what is needed in vision psychology and the practice of computer vision The prerequisites are elementary calculus and probability from the first two undergraduate years of any science course Includes supplementary material: sn.pub/extras - [A Theory of Semigroup Valued Measures](https://online.neatra.in/product/a-theory-of-semigroup-valued-measures/) - [A Textbook on Ordinary Differential Equations](https://online.neatra.in/product/a-textbook-on-ordinary-differential-equations/): Application to applied sciences Rich of exercises with a set of selected solutions Concise, rigorous, clear in analyzing the solutions - [A Textbook of Algebraic Number Theory](https://online.neatra.in/product/a-textbook-of-algebraic-number-theory/): This self-contained and comprehensive textbook of algebraic number theory is useful for advanced undergraduate and graduate students of mathematics. - [A Statistical Mechanical Interpretation of Algorithmic Information Theory](https://online.neatra.in/product/a-statistical-mechanical-interpretation-of-algorithmic-information-theory/): Is the first book to provide a solid bridge between algorithmic information theory and statistical mechanics Clarifies a new aspect of the notion of temperature as the compression rate of the values of all thermodynamic quantities Serves as an introduction both to algorithmic information theory and to the fundamental framework of equilibrium statistical mechanics - [A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation](https://online.neatra.in/product/a-spectral-theory-for-simply-periodic-solutions-of-the-sinh-gordon-equation/): This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Such solutions (if real-valued) correspond to certain constant mean curvature surfaces in Euclidean 3-space. - [A Simple Introduction to the Mixed Finite Element Method: Theory and Applications](https://online.neatra.in/product/a-simple-introduction-to-the-mixed-finite-element-method-theory-and-applications/): Presentation and explanation of most of the details in the proofs and in the different applications Inclusion of results that are usually available only in papers or proceedings Emphasis on core concepts and fundamental results that need to be understood previously by thesis students and young researchers - [A Short Course in Computational Geometry and Topology](https://online.neatra.in/product/a-short-course-in-computational-geometry-and-topology/): This monograph presents a short course in computational geometry and topology. - [A Sampling of Remarkable Groups](https://online.neatra.in/product/a-sampling-of-remarkable-groups/): This textbook offers students with a basic understanding of group theory a preview of several interesting groups they would not typically encounter until later in their academic careers. By presenting these advanced concepts at this stage, they will gain a deeper understanding of the subject and be motivated to explore more of it. - [A Real Variable Method for the Cauchy Transform, and Analytic Capacity](https://online.neatra.in/product/a-real-variable-method-for-the-cauchy-transform-and-analytic-capacity/): This research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity. The note is divided into three chapters. The first chapter is a review of the Calderón commutator. - [A Probability Path](https://online.neatra.in/product/a-probability-path/): Many probability books are written by mathematicians and have the built-in bias that the reader is assumed to be a mathematician coming to the material for its beauty. This textbook is geared towards beginning graduate students from a variety of disciplines whose primary focus is not necessarily mathematics for its own sake - [A Primer on Mathematical Modelling](https://online.neatra.in/product/a-primer-on-mathematical-modelling/): In this book we describe the magic world of mathematical models: starting from real-life problems, we formulate them in terms of equations, transform equations into algorithms and algorithms into programs to be executed on computers. - [A Primer on Hilbert Space Operators](https://online.neatra.in/product/a-primer-on-hilbert-space-operators/): The book concisely presents the fundamental aspects of the theory of operators on Hilbert spaces. The topics covered include functional calculus and spectral theorems, compact operators, trace class and Hilbert-Schmidt operators, self-adjoint extensions of symmetric operators, and one-parameter groups of operators. - [A Panorama of Discrepancy Theory](https://online.neatra.in/product/a-panorama-of-discrepancy-theory/): Provides an integrated view of discrepancy theory and its applications The various areas of discrepancy theory are bridged with a focus on the state of the art Serves as invitation to researchers and students to explore the different methods and to motivate interdisciplinary research - [A Nonlinear Transfer Technique for Renorming](https://online.neatra.in/product/a-nonlinear-transfer-technique-for-renorming/): Includes supplementary material: sn.pub/extras - [A Nonlinear Theory of Generalized Functions](https://online.neatra.in/product/a-nonlinear-theory-of-generalized-functions/): This book provides a simple introduction to a nonlinear theory of generalized functions introduced by J.F. Colombeau, which gives a meaning to any multiplication of distributions. - [A Modern View of the Riemann Integral](https://online.neatra.in/product/a-modern-view-of-the-riemann-integral/): This monograph uncovers the full capabilities of the Riemann integral. Setting aside all notions from LebesgueÂ’s theory, the author embarks on an exploration rooted in RiemannÂ’s original viewpoint. - [A Minicourse on Stochastic Partial Differential Equations](https://online.neatra.in/product/a-minicourse-on-stochastic-partial-differential-equations/): Includes supplementary material: sn.pub/extras - [A Method of Fundamental Solutions in Poroelasticity to Model the Stress Field in Geothermal Reservoirs](https://online.neatra.in/product/a-method-of-fundamental-solutions-in-poroelasticity-to-model-the-stress-field-in-geothermal-reservoirs/): First approach to use a method of fundamental solutions for a coupled system of PDEs of different types, in particular a vector-valued elliptic one and a scalar-valued one of Sobolev-evolution type Progress in deep geothermics New methods in 3D numerics for poroelasticity Includes supplementary material: sn.pub/extras - [A Kaleidoscopic View of Graph Colorings](https://online.neatra.in/product/a-kaleidoscopic-view-of-graph-colorings/): This book describes kaleidoscopic topics that have developed in the area of graph colorings. Unifying current material on graph coloring, this book describes current information on vertex and edge colorings in graph theory, including harmonious colorings, majestic colorings, kaleidoscopic colorings and binomial colorings. - [A Journey Through The Realm of Numbers](https://online.neatra.in/product/a-journey-through-the-realm-of-numbers/): This book takes the reader on a journey from familiar high school mathematics to undergraduate algebra and number theory. The journey starts with the basic idea that new number systems arise from solving different equations, leading to (abstract) algebra. - [A Journey Through Representation Theory](https://online.neatra.in/product/a-journey-through-representation-theory/): This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the field. The book begins with classical representation theory of finite groups over complex numbers and ends with results on representation theory of quivers. - [A History of Abstract Algebra: From Algebraic Equations to Modern Algebra](https://online.neatra.in/product/a-history-of-abstract-algebra-from-algebraic-equations-to-modern-algebra/): Provides a wide-ranging and up-to-date account on the history of abstract algebra Covers topics from number theory (especially quadratic forms) and Galois theory as far as the origins of the abstract theories of groups, rings and fields Develops the mathematical and the historical skills needed to understand the subject Presents material that is difficult to find elsewhere, including translations of GaussÂ’s sixth proof of quadratic reciprocity, parts of JordanÂ’s Traité and DedekindÂ’s 11th supplement, as well as a summary of KleinÂ’s work on the icosahedron - [A Groupoid Approach to C*-Algebras](https://online.neatra.in/product/a-groupoid-approach-to-c-algebras/): Includes supplementary material: sn.pub/extras - [A Geometrical Study of the Elementary Catastrophes](https://online.neatra.in/product/a-geometrical-study-of-the-elementary-catastrophes/) - [A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry](https://online.neatra.in/product/a-geometric-algebra-invitation-to-space-time-physics-robotics-and-molecular-geometry/): Offers details on a state-of-art survey with the characteristics of a self-contained research monograph Useful for both advanced undergraduate and graduate students with a basic background in linear algebra and geometry Condenses theoretical and applied results without sacrificing quality or readability - [A Forward-Backward SDEs Approach to Pricing in Carbon Markets](https://online.neatra.in/product/a-forward-backward-sdes-approach-to-pricing-in-carbon-markets/): Provides a description of carbon markets, which are being implemented worldwide, and their role in the mitigations of climate change Most sections are accessible to practitioners in the energy sector and climate change policy-makers Contains a case study of the UK energy market Contains an introduction to forward-backward stochastic differential equations (FBSDE) and their application to carbon markets Includes supplementary material: sn.pub/extras - [A First Course in Discrete Mathematics](https://online.neatra.in/product/a-first-course-in-discrete-mathematics/): AN EXPERIENCED AUTHOR, IAN ANDERSON DRAWS ON YEARS' EXPERIENCE OF TEACHING DISCRETE MATHEMATICS TO STUDENTS AT VARYING LEVELS. AT STUDENTS OF MATHEMATICS. INCLUDES GRAPH THEORY, A TOPIC OFTEN EXCLUDED FROM OTHER TEXTS. - [A First Course in Complex Analysis](https://online.neatra.in/product/a-first-course-in-complex-analysis/): This book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level. It introduces the exponential function very early but does so rigorously. - [A Crash Course on Kleinian Groups: Lectures given at a special session at the January 1974 meeting of the American Mathematical Society at San Francisco](https://online.neatra.in/product/a-crash-course-on-kleinian-groups-lectures-given-at-a-special-session-at-the-january-1974-meeting-of-the-american-mathematical-society-at-san-francisco/) - [A Course on Tug-of-War Games with Random Noise](https://online.neatra.in/product/a-course-on-tug-of-war-games-with-random-noise/): This graduate textbook provides a detailed introduction to the probabilistic interpretation of nonlinear potential theory, relying on the recently introduced notion of tug-of-war games with noise.The book explores both basic and more advanced constructions, carefully explaining the parallel between linear and nonlinear cases. - [A Course on Topological Vector Spaces](https://online.neatra.in/product/a-course-on-topological-vector-spaces/): Includes a streamlined introduction to the duality theory of locally convex spaces, culminating in the Mackey-Arens theorem Treats various important topics concerning the weak topology of Banach spaces Discusses examples of function spaces which occur in applications to differential operators and measure theory Provides as a highlight the treatment of weak compactness in L_1-spaces - [A Course on Rough Paths: With an Introduction to Regularity Structures](https://online.neatra.in/product/a-course-on-rough-paths-with-an-introduction-to-regularity-structures/): Provides a self-contained introduction to rough path analysis with many exercises Includes applications to stochastic partial differential equations Covers the basics of the new theory of regularity structures - [A Course on Optimization and Best Approximation](https://online.neatra.in/product/a-course-on-optimization-and-best-approximation/) - [A Course on Hopf Algebras](https://online.neatra.in/product/a-course-on-hopf-algebras/): This textbook provides a concise, visual introduction to Hopf algebras and their application to knot theory, most notably the construction of solutions of the Yang–Baxter equations. - [A Course in Universal Algebra](https://online.neatra.in/product/a-course-in-universal-algebra/): Universal algebra has enjoyed a particularly explosive growth in the last twenty years, and a student entering the subject now will find a bewildering amount of material to digest. - [A Course in Simple-Homotopy Theory](https://online.neatra.in/product/a-course-in-simple-homotopy-theory/): This book grew out of courses which I taught at Cornell University and the University of Warwick during 1969 and 1970. - [A Course in Python: The Core of the Language](https://online.neatra.in/product/a-course-in-python-the-core-of-the-language/): A hands-on introduction to Python, ideal for a first course or self-study Provides numerous worked-out exercises showing how to write programs in Python Includes several case studies with code, as well as practice problems - [A Course in Functional Analysis and Measure Theory](https://online.neatra.in/product/a-course-in-functional-analysis-and-measure-theory/): Provides necessary preliminaries Explores basic and advanced material in functional analysis and operator theory, including applications to Fourier series and the Fourier transform Includes over 1500 exercises - [A Course in Differential Geometry](https://online.neatra.in/product/a-course-in-differential-geometry/): This English edition could serve as a text for a first year graduate course on differential geometry, as did for a long time the Chicago Notes of Chern mentioned in the Preface to the German Edition. - [Analytic Theory of Continued Fractions III: Proceedings of a Seminar-Workshop, held in Redstone, USA, June 26 - July 5, 1988](https://online.neatra.in/product/analytic-theory-of-continued-fractions-iii-proceedings-of-a-seminar-workshop-held-in-redstone-usa-june-26-july-5-1988/) - [Analytic Number Theory: Proceedings of the Japanese-French Symposium held in Tokyo, Japan, October 10-13, 1988](https://online.neatra.in/product/analytic-number-theory-proceedings-of-the-japanese-french-symposium-held-in-tokyo-japan-october-10-13-1988/) - [Analytic Number Theory: Proceedings of a Conference Held at Temple University, Philadelphia, May 12-15, 1980](https://online.neatra.in/product/analytic-number-theory-proceedings-of-a-conference-held-at-temple-university-philadelphia-may-12-15-1980/) - [Analytic Number Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11-18, 2002](https://online.neatra.in/product/analytic-number-theory-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-july-11-18-2002/): Includes supplementary material: sn.pub/extras - [Analytic Methods for Partial Differential Equations](https://online.neatra.in/product/analytic-methods-for-partial-differential-equations/): THIS BOOK IS THE COMPANION VOLUME TO ANALYTIC METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. TOPICS ARE APPROACHED PRACTICALLY WITH THE EMPHASIS ON ACTUALLY SOLVING PROBLEMS CONTAINS NUMEROUS EXERCISES WITH WORKED SOLUTIONS. Includes supplementary material: sn.pub/extras - [Analytic Functions. Kozubnik 1979: Proceedings of a Conference Held in Kozubnik, Poland, April 19-25, 1979](https://online.neatra.in/product/analytic-functions-kozubnik-1979-proceedings-of-a-conference-held-in-kozubnik-poland-april-19-25-1979/) - [Analytic Functions Smooth up to the Boundary](https://online.neatra.in/product/analytic-functions-smooth-up-to-the-boundary/): This research monograph concerns the Nevanlinna factorization of analytic functions smooth, in a sense, up to the boundary. The peculiar properties of such a factorization are investigated for the most common classes of Lipschitz-like analytic functions. - [Analytic Functions Blazejewko 1982: Proceedings of a Conference held in Blazejewko, Poland, August 19-27, 1982](https://online.neatra.in/product/analytic-functions-blazejewko-1982-proceedings-of-a-conference-held-in-blazejewko-poland-august-19-27-1982/) - [Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral](https://online.neatra.in/product/analytic-capacity-rectifiability-menger-curvature-and-cauchy-integral/): Includes supplementary material: sn.pub/extras - [Analytic Capacity and Rational Approximation](https://online.neatra.in/product/analytic-capacity-and-rational-approximation/) - [Analytic Capacity and Measure](https://online.neatra.in/product/analytic-capacity-and-measure/) - [Analytic Arithmetic in Algebraic Number Fields](https://online.neatra.in/product/analytic-arithmetic-in-algebraic-number-fields/) - [Analytic and Plurisubharmonic Functions: In Finite and Infinite Dimensional Spaces. Course Given at the University of Maryland, Spring 1970](https://online.neatra.in/product/analytic-and-plurisubharmonic-functions-in-finite-and-infinite-dimensional-spaces-course-given-at-the-university-of-maryland-spring-1970/) - [Analytic and Geometric Study of Stratified Spaces: Contributions to Analytic and Geometric Aspects](https://online.neatra.in/product/analytic-and-geometric-study-of-stratified-spaces-contributions-to-analytic-and-geometric-aspects/): Includes supplementary material: sn.pub/extras - [Analytic and Algebraic Dependence of Meromorphic Functions](https://online.neatra.in/product/analytic-and-algebraic-dependence-of-meromorphic-functions/) - [Analysis of the Gravity Field](https://online.neatra.in/product/analysis-of-the-gravity-field/): This textbook presents a comprehensive treatment of the theory and implementation of inverse methods in the analysis and interpretation of EarthÂ’s gravity field. By restricting their consideration to a local rather than global level, the authors focus on the use of observations and data that are more sensitive to local mass anomalies. - [Analysis IV](https://online.neatra.in/product/analysis-iv/): Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). - [Analysis III](https://online.neatra.in/product/analysis-iii/): Volume III sets out classical Cauchy theory. It is much more geared towards its innumerable applications than towards a more or less complete theory of analytic functions. - [Analysis](https://online.neatra.in/product/analysis/): This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems. - [Analyse Harmonique sur les Groupes de Lie II: Seminaire Nancy-Strasbourg 1976-78](https://online.neatra.in/product/analyse-harmonique-sur-les-groupes-de-lie-ii-seminaire-nancy-strasbourg-1976-78/) - [Analyse Complexe: Proceedings of the Journees Fermat - Journees SMF, held at Toulouse, May 24-27, 1983](https://online.neatra.in/product/analyse-complexe-proceedings-of-the-journees-fermat-journees-smf-held-at-toulouse-may-24-27-1983/) - [An Undergraduate Primer in Algebraic Geometry](https://online.neatra.in/product/an-undergraduate-primer-in-algebraic-geometry/): This book consists of two parts. The first is devoted to an introduction to basic concepts in algebraic geometry: affine and projective varieties, some of their main attributes and examples. The second part is devoted to the theory of curves: local properties, affine and projective plane curves, resolution of singularities, linear equivalence of divisors and linear series, Riemann–Roch and Riemann–Hurwitz Theorems. - [An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method: Projections, Estimates, Tools](https://online.neatra.in/product/an-invitation-to-the-theory-of-the-hybridizable-discontinuous-galerkin-method-projections-estimates-tools/): First introduction to a systematic analysis of the Hybridizable Discontinuous Galerkin Method Presentation of new simplified techniques to prove estimates using the well-established projection-based analysis of HDG methods Covers applications to diffusion process (steady-state and evolutionary) and wave propagation (time-harmonic and transient) - [An Invitation to Representation Theory](https://online.neatra.in/product/an-invitation-to-representation-theory/): An Invitation to Representation Theory offers an introduction to groups and their representations, suitable for undergraduates. In this book, the ubiquitous symmetric group and its natural action on polynomials are used as a gateway to representation theory. - [An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields](https://online.neatra.in/product/an-invitation-to-hypoelliptic-operators-and-hormanders-vector-fields/): Introduces the fundamental ideas and discusses the classical results about Hörmander's operators Provides the relevant motivations behind the research in this area, ranging on several different disciplines Contains also an overview of the recent lines of research - [An Invitation to Geomathematics](https://online.neatra.in/product/an-invitation-to-geomathematics/): First book presenting the research area “geomathematics” Includes a short description on recent research activities Presents GEM – International Journal on Geomathematics - [An Invitation to General Algebra and Universal Constructions](https://online.neatra.in/product/an-invitation-to-general-algebra-and-universal-constructions/): Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. - [An Invitation to Coarse Groups](https://online.neatra.in/product/an-invitation-to-coarse-groups/): Develops the subject from first principles Presents new research directions, with open problems Will become a standard reference on coarse groups - [An Invitation to Alexandrov Geometry](https://online.neatra.in/product/an-invitation-to-alexandrov-geometry/): Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the importance of CAT(0) geometry in geometric group theory. - [An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L8](https://online.neatra.in/product/an-introduction-to-viscosity-solutions-for-fully-nonlinear-pde-with-applications-to-calculus-of-variations-in-l8/): The purpose of this book is to give a quick and elementary, yet rigorous, presentation of the rudiments of the so-called theory of Viscosity Solutions which applies to fully nonlinear 1st and 2nd order Partial Differential Equations (PDE). - [An Introduction to the Theory of Algebraic Surfaces](https://online.neatra.in/product/an-introduction-to-the-theory-of-algebraic-surfaces/) - [An Introduction to the Language of Category Theory](https://online.neatra.in/product/an-introduction-to-the-language-of-category-theory/): Presents all the basic concepts of category theory without requiring any preliminary knowledge Employs friendly, less-formal language and notation to allow reader to focus more on the main concepts, which can be overwhelming for beginners Appropriate for advanced students in mathematics, computer science, physics, and related fields looking for an introduction to category theory Includes an example of the application of YonedaÂ’s lemma, not usually included in introductory texts Provides a good preparation for more advanced books on category theory Includes supplementary material: sn.pub/extras - [An Introduction to the Kähler-Ricci Flow](https://online.neatra.in/product/an-introduction-to-the-kahler-ricci-flow/): An educational and up-to-date reference work on non-linear parabolic partial differential equations The only book currently available on the Kähler-Ricci flow The first book to present a complete proof of PerelmanÂ’s estimates for the Kähler-Ricci flow Illustrates the connection between the Kähler-Ricci flow and the Minimal Model Program Includes supplementary material: sn.pub/extras - [An Introduction to Special Functions](https://online.neatra.in/product/an-introduction-to-special-functions/): Presents material which connects the elementary theory of analytic functions of one complex variable with the theory of some of the most important special functions Focuses especially on the Euler gamma function, the Gauss hypergeometric function, and the Kummer confluent hypergeometric function Assumes only limited prior knowledge, to the level gained from a basic course on analytic functions Includes supplementary material: sn.pub/extras - [An Introduction to Quasisymmetric Schur Functions: Hopf Algebras, Quasisymmetric Functions, and Young Composition Tableaux](https://online.neatra.in/product/an-introduction-to-quasisymmetric-schur-functions-hopf-algebras-quasisymmetric-functions-and-young-composition-tableaux/): Comprehensive introduction to quasisymmetric functions for non-specialists First summary of results in the blossoming field of quasisymmetric Schur functions using Young composition tableaux, which generalize Young tableaux? Includes supplementary material: sn.pub/extras - [An Introduction to Proofs with Set Theory](https://online.neatra.in/product/an-introduction-to-proofs-with-set-theory/): This text is intended as an introduction to mathematical proofs for students. It is distilled from the lecture notes for a course focused on set theory subject matter as a means of teaching proofs. - [An Introduction to Piecewise Smooth Dynamics](https://online.neatra.in/product/an-introduction-to-piecewise-smooth-dynamics/): This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. - [An Introduction to Optimal Control of FBSDE with Incomplete Information](https://online.neatra.in/product/an-introduction-to-optimal-control-of-fbsde-with-incomplete-information/): This book focuses on maximum principle and verification theorem for incomplete information forward-backward stochastic differential equations (FBSDEs) and their applications in linear-quadratic optimal controls and mathematical finance. - [An Introduction to Laplacian Spectral Distances and Kernels: Theory, Computation, and Applications](https://online.neatra.in/product/an-introduction-to-laplacian-spectral-distances-and-kernels-theory-computation-and-applications/): In geometry processing and shape analysis, several applications have been addressed through the properties of the Laplacian spectral kernels and distances, such as commute time, biharmonic, diffusion, and wave distances. - [An Introduction to Infinite Products](https://online.neatra.in/product/an-introduction-to-infinite-products/): Exercises give readers ample opportunity to test their understanding of the material in each section Provides a comprehensive treatment and a solid reference on infinite products, sequences, and series Introduces the necessary concepts and appropriate background - [An Introduction to Incidence Geometry](https://online.neatra.in/product/an-introduction-to-incidence-geometry/): This book gives an introduction to the field of Incidence Geometry by discussing the basic families of point-line geometries and introducing some of the mathematical techniques that are essential for their study. The families of geometries covered in this book include among others the generalized polygons, near polygons, polar spaces, dual polar spaces and designs. - [An Introduction to Ergodic Theory](https://online.neatra.in/product/an-introduction-to-ergodic-theory/): This text provides an introduction to ergodic theory suitable for readers knowing basic measure theory. The mathematical prerequisites are summarized in Chapter 0. It is hoped the reader will be ready to tackle research papers after reading the book. - [An Introduction to Enumeration](https://online.neatra.in/product/an-introduction-to-enumeration/): Includes over 350 worked examples and over 200 exercises with solutions Focuses on the application of major mathematical topics including linear algebra, group theory and complex analysis Strong emphasis on generating functions Includes supplementary material: sn.pub/extras - [An Introduction to Compressible Flows with Applications](https://online.neatra.in/product/an-introduction-to-compressible-flows-with-applications/): This book offers a concise and practical survey of the principles governing compressible flows, along with selected applications. It starts with derivation of the time-dependent, three-dimensional equation of compressible potential flows, and a study of weak waves, including evaluation of the sound speed in gases. - [An Introduction to Artificial Intelligence Based on Reproducing Kernel Hilbert Spaces](https://online.neatra.in/product/an-introduction-to-artificial-intelligence-based-on-reproducing-kernel-hilbert-spaces/): This textbook provides an in-depth exploration of statistical learning with reproducing kernels, an active area of research that can shed light on trends associated with deep neural networks. - [An Introduction to Analytic Functions: With Theoretical Implications](https://online.neatra.in/product/an-introduction-to-analytic-functions-with-theoretical-implications/): When first published in 1959, this book was the basis of a two-semester course in complex analysis for upper undergraduate and graduate students. J. S. Mac Nerney was a proponent of the Socratic, or “do-it-yourself” method of learning mathematics, in which students are encouraged to engage in mathematical problem solving, including theorems at every level which are often regarded as “too difficult” for students to prove for themselves. - [An Introduction to Analysis on Wiener Space](https://online.neatra.in/product/an-introduction-to-analysis-on-wiener-space/): This book gives the basis of the probabilistic functional analysis on Wiener space, developed during the last decade. The subject has progressed considerably in recent years thr- ough its links with QFT and the impact of Stochastic Calcu- lus of Variations of P. Malliavin. - [An Introduction to Algebraic Statistics with Tensors](https://online.neatra.in/product/an-introduction-to-algebraic-statistics-with-tensors/): This book provides an introduction to various aspects of Algebraic Statistics with the principal aim of supporting MasterÂ’s and PhD students who wish to explore the algebraic point of view regarding recent developments in Statistics. The focus is on the background needed to explore the connections among discrete random variables. - [An Index and Other Useful Information](https://online.neatra.in/product/an-index-and-other-useful-information/) - [An Excursion through Elementary Mathematics, Volume III: Discrete Mathematics and Polynomial Algebra](https://online.neatra.in/product/an-excursion-through-elementary-mathematics-volume-iii-discrete-mathematics-and-polynomial-algebra/): Combines an in-depth overview of the theory with problems presented at several Mathematical Olympiads around the world Offers a comprehensive course on problem-solving techniques Presents a coherent development of mathematical ideas and methods behind problem solving Brings several classical, relevant results of various fields in mathematics - [An Elastic Model for Volcanology](https://online.neatra.in/product/an-elastic-model-for-volcanology/): This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the EarthÂ’s interior. - [An Easy Path to Convex Analysis and Applications](https://online.neatra.in/product/an-easy-path-to-convex-analysis-and-applications/): Convex optimization has an increasing impact on many areas of mathematics, applied sciences, and practical applications. It is now being taught at many universities and being used by researchers of different fields. - [An Approach to the Selberg Trace Formula via the Selberg Zeta-Function](https://online.neatra.in/product/an-approach-to-the-selberg-trace-formula-via-the-selberg-zeta-function/): The Notes give a direct approach to the Selberg zeta-function for cofinite discrete subgroups of SL (2,#3) acting on the upper half-plane. The basic idea is to compute the trace of the iterated resolvent kernel of the hyperbolic Laplacian in order to arrive at the logarithmic derivative of the Selberg zeta-function. - [An Algebraic Introduction to Mathematical Logic](https://online.neatra.in/product/an-algebraic-introduction-to-mathematical-logic/) - [An Algebraic Approach to Association Schemes](https://online.neatra.in/product/an-algebraic-approach-to-association-schemes/): The primary object of the lecture notes is to develop a treatment of association schemes analogous to that which has been so successful in the theory of finite groups. The main chapters are decomposition theory, representation theory, and the theory of generators. - [An Advanced Complex Analysis Problem Book: Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions](https://online.neatra.in/product/an-advanced-complex-analysis-problem-book-topological-vector-spaces-functional-analysis-and-hilbert-spaces-of-analytic-functions/): This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space. - [Ample Subvarieties of Algebraic Varieties](https://online.neatra.in/product/ample-subvarieties-of-algebraic-varieties/) - [Alternative Pseudodifferential Analysis: With an Application to Modular Forms](https://online.neatra.in/product/alternative-pseudodifferential-analysis-with-an-application-to-modular-forms/): Includes supplementary material: sn.pub/extras - [Almost-Bieberbach Groups: Affine and Polynomial Structures](https://online.neatra.in/product/almost-bieberbach-groups-affine-and-polynomial-structures/): Starting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach groups, the fundamental groups of infra-nilmanifolds, is developed. These are a natural generalization of the well known Bieberbach groups and many results about ordinary Bieberbach groups turn out to generalize to the almost-Bieberbach groups. - [Almost Ring Theory](https://online.neatra.in/product/almost-ring-theory/): This book develops thorough and complete foundations for the method of almost etale extensions, which is at the basis of Faltings' approach to p-adic Hodge theory. The central notion is that of an "almost ring". - [Almost Periodic Solutions of Impulsive Differential Equations](https://online.neatra.in/product/almost-periodic-solutions-of-impulsive-differential-equations/): Dedicated to a systematic development of almost periodic theory for impulsive differential equations Fills a void by presenting existing literature on the relations between the almost periodicity and stability of the solutions Includes supplementary material: sn.pub/extras - [Almost Periodic Differential Equations](https://online.neatra.in/product/almost-periodic-differential-equations/) - [Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle](https://online.neatra.in/product/almost-global-solutions-of-capillary-gravity-water-waves-equations-on-the-circle/): Winner of the 2017 Book Prize of the Unione Matematica Italiana Contains new results not presented elsewhere Includes general tools of paradifferential calculus useful in other contexts Suggests a new strategy for other problems - [Algorithms and Discrete Applied Mathematics: 6th International Conference, CALDAM 2020, Hyderabad, India, February 13–15, 2020, Proceedings](https://online.neatra.in/product/algorithms-and-discrete-applied-mathematics-6th-international-conference-caldam-2020-hyderabad-india-february-13a-15-2020-proceedings/): This book constitutes the proceedings of the 6th International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2020, held in Hyderabad, India, in February 2020. The 38 papers presented together with 2 invited talks in this volume were carefully reviewed and selected from 102 submissions. - [Algorithm Portfolios](https://online.neatra.in/product/algorithm-portfolios/): This book covers algorithm portfolios, multi-method schemes that harness optimization algorithms into a joint framework to solve optimization problems. It is expected to be a primary reference point for researchers and doctoral students in relevant domains that seek a quick exposure to the field. - [Algebroid Curves in Positive Characteristics](https://online.neatra.in/product/algebroid-curves-in-positive-characteristics/) - [Algebres d'Operateurs: Seminaire sur les Algebres d'Operateurs. Les Plans-sur-Bex Suisse, 13-18 mars, 1978](https://online.neatra.in/product/algebres-doperateurs-seminaire-sur-les-algebres-doperateurs-les-plans-sur-bex-suisse-13-18-mars-1978/) - [Algèbre](https://online.neatra.in/product/algebre/): Ce huitième chapitre du Livre d'Algèbre, deuxième Livre des Éléments de mathématique, est consacré à l'étude de certaines classes d'anneaux et des modules sur ces anneaux.Il couvre les notions de module et d'anneau noethérien et artinien, ainsi que celle de radical. - [Algebras and Representation Theory](https://online.neatra.in/product/algebras-and-representation-theory/): Offers an elementary introduction that includes more advanced topics such as GabrielÂ’s theorem on quivers Based on the authorsÂ’ extensive undergraduate teaching experience Provides numerous worked examples and more than 200 exercises (with worked solutions to some of them) - [Algebraic Topology: VIASM 2012–2015](https://online.neatra.in/product/algebraic-topology-viasm-2012a-2015/): Held during algebraic topology special sessions at the Vietnam Institute for Advanced Studies in Mathematics (VIASM, Hanoi), this set of notes consists of expanded versions of three courses given by G. Ginot, H.-W. Henn and G. Powell. They are all introductory texts and can be used by PhD students and experts in the field. - [Algebraic Topology: Proceedings, University of British Columbia, Vancouver, August 1977](https://online.neatra.in/product/algebraic-topology-proceedings-university-of-british-columbia-vancouver-august-1977/) - [Algebraic Topology: Proceedings of an International Conference held in Arcata, California, July 27 - August 2, 1986](https://online.neatra.in/product/algebraic-topology-proceedings-of-an-international-conference-held-in-arcata-california-july-27-august-2-1986/): These are proceedings of an International Conference on Algebraic Topology, held 28 July through 1 August, 1986, at Arcata, California. The conference served in part to mark the 25th anniversary of the journal Topology and 60th birthday of Edgar H. Brown. - [Algebraic Topology: Homotopy and Group Cohomology](https://online.neatra.in/product/algebraic-topology-homotopy-and-group-cohomology/): The papers in this collection, all fully refereed, original papers, reflect many aspects of recent significant advances in homotopy theory and group cohomology. - [Algebraic Topology: A First Course](https://online.neatra.in/product/algebraic-topology-a-first-course/): This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the re­ lations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ­ ential topology, etc.), we concentrate our attention on concrete prob­ lems in low dimensions, introducing only as much algebraic machin­ ery as necessary for the problems we meet. - [Algebraic Topology. Waterloo 1978: Proceedings of a Conference Sponsored by the Canadian Mathematical Society, NSERC (Canada), and the University of Waterloo, June 1978](https://online.neatra.in/product/algebraic-topology-waterloo-1978-proceedings-of-a-conference-sponsored-by-the-canadian-mathematical-society-nserc-canada-and-the-university-of-waterloo-june-1978/) - [Algebraic Topology. Seattle 1985: Proceedings of a Workshop held at the University of Washington, Seattle, 1984-85](https://online.neatra.in/product/algebraic-topology-seattle-1985-proceedings-of-a-workshop-held-at-the-university-of-washington-seattle-1984-85/): The course notes by Emmanuel Dror Farjoun and by Frederick R. Cohen contained in this volume are carefully written graduate level expositions of certain aspects of equivariant homotopy theory and classical homotopy theory, respectively. M.E. Mahowald has included some of the material from his further papers, represent a wide range of contemporary homotopy theory: the Kervaire invariant, stable splitting theorems, computer calculation of unstable homotopy groups, and studies of L(n), Im J, and the symmetric groups. - [Algebraic Topology. Poznan 1989: Proceedings of a Conference held in Poznan, Poland, June 22-27, 1989](https://online.neatra.in/product/algebraic-topology-poznan-1989-proceedings-of-a-conference-held-in-poznan-poland-june-22-27-1989/): As part of the scientific activity in connection with the 70th birthday of the Adam Mickiewicz University in Poznan, an international conference on algebraic topology was held. In the resulting proceedings volume, the emphasis is on substantial survey papers, some presented at the conference, some written subsequently. - [Algebraic Topology. Göttingen 1984: Proceedings of a Conference held in Göttingen, November 9-15, 1984](https://online.neatra.in/product/algebraic-topology-gottingen-1984-proceedings-of-a-conference-held-in-gottingen-november-9-15-1984/) - [Algebraic Topology. Barcelona 1986: Proceedings of a Symposium held in Barcelona, April 2-8, 1986](https://online.neatra.in/product/algebraic-topology-barcelona-1986-proceedings-of-a-symposium-held-in-barcelona-april-2-8-1986/) - [Algebraic Topology. Aarhus 1982: Proceedings of a conference held in Aarhus, Denmark, August 1-7, 1982](https://online.neatra.in/product/algebraic-topology-aarhus-1982-proceedings-of-a-conference-held-in-aarhus-denmark-august-1-7-1982/) - [Algebraic Topology, Aarhus 1978: Proceedings of a Symposium held at Aarhus, Denmark, August 7-12, 1978](https://online.neatra.in/product/algebraic-topology-aarhus-1978-proceedings-of-a-symposium-held-at-aarhus-denmark-august-7-12-1978/) - [Algebraic Topology of Finite Topological Spaces and Applications](https://online.neatra.in/product/algebraic-topology-of-finite-topological-spaces-and-applications/): It is the first complete exposition of the topic Has applications to the study of two long-standing conjectures It is self-contained Includes supplementary material: sn.pub/extras - [Algebraic Topology and Transformation Groups: Proceedings of a Conference held in Göttingen, FRG, August 23-29, 1987](https://online.neatra.in/product/algebraic-topology-and-transformation-groups-proceedings-of-a-conference-held-in-gottingen-frg-august-23-29-1987/) - [Algebraic Topology - Rational Homotopy: Proceedings of a Conference held in Louvain-la-Neuve, Belgium, May 2-6, 1986](https://online.neatra.in/product/algebraic-topology-rational-homotopy-proceedings-of-a-conference-held-in-louvain-la-neuve-belgium-may-2-6-1986/): This proceedings volume centers on new developments in rational homotopy and on their influence on algebra and algebraic topology. Most of the papers are original research papers dealing with rational homotopy and tame homotopy, cyclic homology, Moore conjectures on the exponents of the homotopy groups of a finite CW-c-complex and homology of loop spaces. - [Algebraic Threefolds: Proceedings of the 2nd 1981 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), Held at Varenna, Italy, June 15-23, 1981](https://online.neatra.in/product/algebraic-threefolds-proceedings-of-the-2nd-1981-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-at-varenna-italy-june-15-23-1981/) - [Algebraic Theories](https://online.neatra.in/product/algebraic-theories/): In the past decade, category theory has widened its scope and now inter­ acts with many areas of mathematics. This book develops some of the interactions between universal algebra and category theory as well as some of the resulting applications. - [Algebraic Structure of Knot Modules](https://online.neatra.in/product/algebraic-structure-of-knot-modules/) - [Algebraic Spaces](https://online.neatra.in/product/algebraic-spaces/) - [Algebraic K-Theory: Papers presented at the Conference held at Northwestern University, Evanston, January 12-16, 1976](https://online.neatra.in/product/algebraic-k-theory-papers-presented-at-the-conference-held-at-northwestern-university-evanston-january-12-16-1976/) - [Algebraic K-Theory. Proceedings of a Conference Held at Oberwolfach, June 1980: Part 1](https://online.neatra.in/product/algebraic-k-theory-proceedings-of-a-conference-held-at-oberwolfach-june-1980-part-1/) - [Algebraic K-Theory. Evanston 1980: Proceedings of the Conference Held at Northwestern University Evanston, March 24-27, 1980](https://online.neatra.in/product/algebraic-k-theory-evanston-1980-proceedings-of-the-conference-held-at-northwestern-university-evanston-march-24-27-1980/) - [Algebraic K-theory of Crystallographic Groups: The Three-Dimensional Splitting Case](https://online.neatra.in/product/algebraic-k-theory-of-crystallographic-groups-the-three-dimensional-splitting-case/): Contains an elementary classification of the arithmetic classes of three-dimensional crystallographic groups Gives a clear construction, for a geometrically important class of groups, of the classifying spaces that are used in applications of the Farrell-Jones isomorphism conjecture Shows how the Farrell-Jones isomorphism theorem is used in computations, assembling all of the required methods - [Algebraic K-Theory III. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972: Hermitian K-Theory and Geometric Applications](https://online.neatra.in/product/algebraic-k-theory-iii-proceedings-of-the-conference-held-at-the-seattle-research-center-of-battelle-memorial-institute-august-28-september-8-1972-hermitian-k-theory-and-geometric-applications/) - [Algebraic K-Theory II. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972: "Classical" Algebraic K-Theory, and Connections with Arithmetic](https://online.neatra.in/product/algebraic-k-theory-ii-proceedings-of-the-conference-held-at-the-seattle-research-center-of-battelle-memorial-institute-august-28-september-8-1972-classical-algebraic-k-theory-and-connections/) - [Algebraic K-Theory I. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972: Higher K-Theories](https://online.neatra.in/product/algebraic-k-theory-i-proceedings-of-the-conference-held-at-the-seattle-research-center-of-battelle-memorial-institute-august-28-september-8-1972-higher-k-theories/) - [Algebraic K-Theory and its Geometric Applications](https://online.neatra.in/product/algebraic-k-theory-and-its-geometric-applications/) - [Algebraic K-Theory](https://online.neatra.in/product/algebraic-k-theory/): From the Introduction: "These notes are taken from a course on algebraic K-theory [given] at the University of Chicago in 1967. They also include some material from an earlier course on abelian categories, elaborating certain parts of Gabriel's thesis. - [Algebraic Homogeneous Spaces and Invariant Theory](https://online.neatra.in/product/algebraic-homogeneous-spaces-and-invariant-theory/): The invariant theory of non-reductive groups has its roots in the 19th century but has seen some very interesting developments in the past twenty years. This book is an exposition of several related topics including observable subgroups, induced modules, maximal unipotent subgroups of reductive groups and the method of U-invariants, and the complexity of an action. - [Algebraic Groups. Utrecht 1986: Proceedings of a Symposium in Honour of T.A. Springer](https://online.neatra.in/product/algebraic-groups-utrecht-1986-proceedings-of-a-symposium-in-honour-of-t-a-springer/): From 1-4 April 1986 a Symposium on Algebraic Groups was held at the University of Utrecht, The Netherlands, in celebration of the 350th birthday of the University and the 60th of T.A. Springer. Recognized leaders in the field of algebraic groups and related areas gave lectures which covered wide and central areas of mathematics. - [Algebraic Groups and Lie Groups with Few Factors](https://online.neatra.in/product/algebraic-groups-and-lie-groups-with-few-factors/): Includes supplementary material: sn.pub/extras - [Beyond Sobolev and Besov](https://online.neatra.in/product/beyond-sobolev-and-besov/): This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs. - [Beyond Partial Differential Equations: On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations](https://online.neatra.in/product/beyond-partial-differential-equations-on-linear-and-quasi-linear-abstract-hyperbolic-evolution-equations/): Includes supplementary material: sn.pub/extras - [Bessel Processes, Schramm–Loewner Evolution, and the Dyson Model](https://online.neatra.in/product/bessel-processes-schramma-loewner-evolution-and-the-dyson-model/): The purpose of this book is to introduce two recent topics in mathematical physics and probability theory: the Schramm–Loewner evolution (SLE) and interacting particle systems related to random matrix theory. A typical example of the latter systems is Dyson's Brownian motion (BM) model. - [Bessel Polynomials](https://online.neatra.in/product/bessel-polynomials/) - [Besov Spaces and Applications to Difference Methods for Initial Value Problems](https://online.neatra.in/product/besov-spaces-and-applications-to-difference-methods-for-initial-value-problems/) - [Berkovich Spaces and Applications](https://online.neatra.in/product/berkovich-spaces-and-applications/): We present an introduction to BerkovichÂ’s theory of non-archimedean analytic spaces that emphasizes its applications in various fields. The first part contains surveys of a foundational nature, including an introduction to Berkovich analytic spaces by M. Temkin, and to étale cohomology by A. Ducros, as well as a short note by C. Favre on the topology of some Berkovich spaces. - [Benefit/Cost-Driven Software Development](https://online.neatra.in/product/benefit-cost-driven-software-development/): This open access book presents a set of basic techniques for estimating the benefit of IT development projects and portfolios. It also offers methods for monitoring how much of that estimated benefit is being achieved during projects. - [Bayesians Versus Frequentists: A Philosophical Debate on Statistical Reasoning](https://online.neatra.in/product/bayesians-versus-frequentists-a-philosophical-debate-on-statistical-reasoning/): This book analyzes the origins of statistical thinking as well as its related philosophical questions, such as causality, determinism or chance. Bayesian and frequentist approaches are subjected to a historical, cognitive and epistemological analysis, making it possible to not only compare the two competing theories, but to also find a potential solution. - [Bayesian Optimization and Data Science](https://online.neatra.in/product/bayesian-optimization-and-data-science/): Gives readers an idea of the potential of the application of Bayesian Optimization to both traditional feels and emerging ones Provides full and updated coverage of the areas of constrained Bayesian Optimization and Safe Bayesian Optimization Covers software resources, allowing readers to make informed and educated choices among the different platforms available to set up Bayesian Optimization components in academic and industrial activities Allows a full understanding of the basic algorithmic framework, including recent proposals about acquisition functions - [Bayesian and High-Dimensional Global Optimization](https://online.neatra.in/product/bayesian-and-high-dimensional-global-optimization/): Accessible to a variety of readers, this book is of interest to specialists, graduate students and researchers in mathematics, optimization, computer science, operations research, management science, engineering and other applied areas interested in solving optimization problems. Basic principles, potential and boundaries of applicability of stochastic global optimization techniques are examined in this book. - [Basic Theory of Algebraic Groups and Lie Algebras](https://online.neatra.in/product/basic-theory-of-algebraic-groups-and-lie-algebras/): The theory of algebraic groups results from the interaction of various basic techniques from field theory, multilinear algebra, commutative ring theory, algebraic geometry and general algebraic representation theory of groups and Lie algebras. - [Basic Stochastic Processes: A Course Through Exercises](https://online.neatra.in/product/basic-stochastic-processes-a-course-through-exercises/): Informal hints and fully worked solutions accompanying the exercises Strong emphasis on self-study Includes supplementary material: sn.pub/extras - [Basic Monotonicity Methods with Some Applications](https://online.neatra.in/product/basic-monotonicity-methods-with-some-applications/): Provides basics in the theory of monotone operators Offers a transition to more advanced topics Includes examples with ODEs - [Basic Linear Algebra](https://online.neatra.in/product/basic-linear-algebra/): A comprehensive introduction aimed at first-year students, with detailed explanations and fully-worked examples Features additional exercises and new material on Cramer's rule Includes a new chapter on computer assistance in the form of a tutorial on the use of the "Linear Algebra" package in MAPLE 7 Includes supplementary material: sn.pub/extras - [Basic Analysis of Regularized Series and Products](https://online.neatra.in/product/basic-analysis-of-regularized-series-and-products/): Analytic number theory and part of the spectral theory of operators (differential, pseudo-differential, elliptic, etc.) are being merged under amore general analytic theory of regularized products of certain sequences satisfying a few basic axioms. The most basic examples consist of the sequence of natural numbers, the sequence of zeros with positive imaginary part of the Riemann zeta function, and the sequence of eigenvalues, say of a positive Laplacian on a compact or certain cases of non-compact manifolds. - [Barrelledness in Topological and Ordered Vector Spaces](https://online.neatra.in/product/barrelledness-in-topological-and-ordered-vector-spaces/) - [Banach Spaces: Proceedings of the Missouri Conference held in Columbia, USA, June 24-29, 1984](https://online.neatra.in/product/banach-spaces-proceedings-of-the-missouri-conference-held-in-columbia-usa-june-24-29-1984/) - [Banach Spaces, Harmonic Analysis, and Probability Theory: Proceedings of the Special Year in Analysis, held at the University of Connecticut 1980-1981](https://online.neatra.in/product/banach-spaces-harmonic-analysis-and-probability-theory-proceedings-of-the-special-year-in-analysis-held-at-the-university-of-connecticut-1980-1981/) - [Banach Spaces of Vector-Valued Functions](https://online.neatra.in/product/banach-spaces-of-vector-valued-functions/): "When do the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces?" This problem and the analogous one for vector- valued continuous function spaces have attracted quite a lot of research activity in the last twenty-five years. The aim of this monograph is to give a detailed exposition of the answers to these questions, providing a unified and self-contained treatment. - [Banach Spaces of Analytic Functions.: Proceedings of the Pelzczynski Conference Held at Kent State University, July 12-16, 1976.](https://online.neatra.in/product/banach-spaces-of-analytic-functions-proceedings-of-the-pelzczynski-conference-held-at-kent-state-university-july-12-16-1976/) - [Banach Spaces and Descriptive Set Theory: Selected Topics](https://online.neatra.in/product/banach-spaces-and-descriptive-set-theory-selected-topics/): author has been a central player in new developments of this area This book is a much needed exposition - [Banach Space Theory and its Applications: Proceedings of the First Romanian GDR Seminar Held at Bucharest, Romania, August 31 - September 6, 1981](https://online.neatra.in/product/banach-space-theory-and-its-applications-proceedings-of-the-first-romanian-gdr-seminar-held-at-bucharest-romania-august-31-september-6-1981/) - [Banach Algebra Techniques in Operator Theory](https://online.neatra.in/product/banach-algebra-techniques-in-operator-theory/): Second edition of classic book in its field Should appeal to a new generation of readers Source notes, which suggest additional reading along with comments, are included at the end of each chapter Contains a large number of problems of varying difficulty, following each chapter Assumes only the standard familiarity with general topology, measure theory, and algebra - [Bäcklund Transformations, the Inverse Scattering Method, Solitons, and Their Applications: Proceedings of the NSF Research Workshop on Contact Transformations, held in Nashville, Tennessee, 1974](https://online.neatra.in/product/backlund-transformations-the-inverse-scattering-method-solitons-and-their-applications-proceedings-of-the-nsf-research-workshop-on-contact-transformations-held-in-nashville-tennessee-1974/) - [Axiomatic Set Theory](https://online.neatra.in/product/axiomatic-set-theory/): This text deals with three basic techniques for constructing models of Zermelo-Fraenkel set theory: relative constructibility, Cohen's forcing, and Scott-Solovay's method of Boolean valued models. - [Axiom of Choice](https://online.neatra.in/product/axiom-of-choice/): AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom, shunned by some, used indiscriminately by others. This treatise shows paradigmatically that: - Disasters happen without AC: Many fundamental mathematical results fail (being equivalent in ZF to AC or to some weak form of AC). - Disasters happen with AC: Many undesirable mathematical monsters are being created (e.g., non measurable sets and undeterminate games). - [Average-Case Analysis of Numerical Problems](https://online.neatra.in/product/average-case-analysis-of-numerical-problems/): The average-case analysis of numerical problems is the counterpart of the more traditional worst-case approach. The analysis of average error and cost leads to new insight on numerical problems as well as to new algorithms. - [Automorphism Groups of Compact Bordered Klein Surfaces: A Combinatorial Approach](https://online.neatra.in/product/automorphism-groups-of-compact-bordered-klein-surfaces-a-combinatorial-approach/): This research monograph provides a self-contained approach to the problem of determining the conditions under which a compact bordered Klein surface S and a finite group G exist, such that G acts as a group of automorphisms in S. The cases dealt with here take G cyclic, abelian, nilpotent or supersoluble and S hyperelliptic or with connected boundary. - [Automorphic Functions and Number Theory](https://online.neatra.in/product/automorphic-functions-and-number-theory/) - [Automorphic Forms on Semisimple Lie Groups](https://online.neatra.in/product/automorphic-forms-on-semisimple-lie-groups/) - [Automorphic Forms on GL (3,TR)](https://online.neatra.in/product/automorphic-forms-on-gl-3tr/) - [Automorphic Forms on GL (2): Part 2](https://online.neatra.in/product/automorphic-forms-on-gl-2-part-2/) - [Automorphic Forms on GL (2): Part 1](https://online.neatra.in/product/automorphic-forms-on-gl-2-part-1/) - [Attractivity and Bifurcation for Nonautonomous Dynamical Systems](https://online.neatra.in/product/attractivity-and-bifurcation-for-nonautonomous-dynamical-systems/): Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. - [Asymptotics of Analytic Difference Equations](https://online.neatra.in/product/asymptotics-of-analytic-difference-equations/) - [Asymptotics for Orthogonal Polynomials](https://online.neatra.in/product/asymptotics-for-orthogonal-polynomials/): This monograph brings together some results involving the asymptotic behaviour of orthogonal polynomials when the degree tends to infinity, assuming only a basic knowledge of real and complex analysis. An extensive treatment, starting with special knowledge of the orthogonality measure, is given for orthogonal polynomials on a compact set and on an unbounded set. - [Asymptotics for Dissipative Nonlinear Equations](https://online.neatra.in/product/asymptotics-for-dissipative-nonlinear-equations/): Includes supplementary material: sn.pub/extras - [Asymptotic Theory of Finite Dimensional Normed Spaces: Isoperimetric Inequalities in Riemannian Manifolds](https://online.neatra.in/product/asymptotic-theory-of-finite-dimensional-normed-spaces-isoperimetric-inequalities-in-riemannian-manifolds/) - [Asymptotic Statistics in Insurance Risk Theory](https://online.neatra.in/product/asymptotic-statistics-in-insurance-risk-theory/): This book begins with the fundamental large sample theory, estimating ruin probability, and ends by dealing with the latest issues of estimating the Gerber–Shiu function. This book is the first to introduce the recent development of statistical methodologies in risk theory (ruin theory) as well as their mathematical validities. - [Asymptotic Stability of Steady Compressible Fluids](https://online.neatra.in/product/asymptotic-stability-of-steady-compressible-fluids/): It is the first book specifically devoted to nonlinear stability of compressible fluids. A systematic approach is proposed. It turns out of great utility to graduate students, since it is self--contained and only basic elements of functional analysis and PDE are required. Original techniques are introduced in the study of direct Lyapunov method, these techniques furnish, in particular new "a priori" estimates for the solutions. Includes supplementary material: sn.pub/extras - [Asymptotic Properties of Permanental Sequences](https://online.neatra.in/product/asymptotic-properties-of-permanental-sequences/): This SpringerBriefs employs a novel approach to obtain the precise asymptotic behavior at infinity of a large class of permanental sequences related to birth and death processes and autoregressive Gaussian sequences using techniques from the theory of Gaussian processes and Markov chains. - [Asymptotic Prime Divisors](https://online.neatra.in/product/asymptotic-prime-divisors/) - [Asymptotic Integration of Differential and Difference Equations](https://online.neatra.in/product/asymptotic-integration-of-differential-and-difference-equations/): Contains a wealth of results both for differential as well as difference equations Illuminates new approaches and suggests new directions of inquiry Includes a treatment of dynamic equations on time scales - [Asymptotic Expansions for Pseudodifferential Operators on Bounded Domains](https://online.neatra.in/product/asymptotic-expansions-for-pseudodifferential-operators-on-bounded-domains/) - [Asymptotic Cyclic Cohomology](https://online.neatra.in/product/asymptotic-cyclic-cohomology/): The aim of cyclic cohomology theories is the approximation of K-theory by cohomology theories defined by natural chain complexes. The basic example is the approximation of topological K-theory by de Rham cohomology via the classical Chern character. - [Asymptotic Combinatorics with Applications to Mathematical Physics: A European Mathematical Summer School held at the Euler Institute, St. Petersburg, Russia, July 9-20, 2001](https://online.neatra.in/product/asymptotic-combinatorics-with-applications-to-mathematical-physics-a-european-mathematical-summer-school-held-at-the-euler-institute-st-petersburg-russia-july-9-20-2001/): At the Summer School Saint Petersburg 2001, the main lecture courses bore on recent progress in asymptotic representation theory: those written up for this volume deal with the theory of representations of infinite symmetric groups, and groups of infinite matrices over finite fields| Riemann-Hilbert problem techniques applied to the study of spectra of random matrices and asymptotics of Young diagrams with Plancherel measure| the corresponding central limit theorems| the combinatorics of modular curves and random trees with application to QFT| free probability and random matrices, and Hecke algebras. - [Asymptotic Behavior of Monodromy: Singularly Perturbed Differential Equations on a Riemann Surface](https://online.neatra.in/product/asymptotic-behavior-of-monodromy-singularly-perturbed-differential-equations-on-a-riemann-surface/): This book concerns the question of how the solution of a system of ODE's varies when the differential equation varies. The goal is to give nonzero asymptotic expansions for the solution in terms of a parameter expressing how some coefficients go to infinity. - [Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization](https://online.neatra.in/product/asymptotic-behavior-of-dynamical-and-control-systems-under-pertubation-and-discretization/): Includes supplementary material: sn.pub/extras - [Asymptotic Analysis: From Theory to Application](https://online.neatra.in/product/asymptotic-analysis-from-theory-to-application/) - [Asymptotic Analysis II: Surveys and New Trends](https://online.neatra.in/product/asymptotic-analysis-ii-surveys-and-new-trends/) - [Asymptotic Analysis for Integrable Connections with Irregular Singular Points](https://online.neatra.in/product/asymptotic-analysis-for-integrable-connections-with-irregular-singular-points/) - [Associative Algebras](https://online.neatra.in/product/associative-algebras/): For many people there is life after 40| for some mathematicians there is algebra after Galois theory. The objective ofthis book is to prove the latter thesis. - [Aspects of Differential Geometry V](https://online.neatra.in/product/aspects-of-differential-geometry-v/): Book V completes the discussion of the first four books by treating in some detail the analytic results in elliptic operator theory used previously. - [Aspects of Differential Geometry IV](https://online.neatra.in/product/aspects-of-differential-geometry-iv/): Book IV continues the discussion begun in the first three volumes. Although it is aimed at first-year graduate students, it is also intended to serve as a basic reference for people working in affine differential geometry. - [Aspects of Differential Geometry III](https://online.neatra.in/product/aspects-of-differential-geometry-iii/): Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. - [Aspects of Differential Geometry II](https://online.neatra.in/product/aspects-of-differential-geometry-ii/): Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. - [Aspects of Differential Geometry I](https://online.neatra.in/product/aspects-of-differential-geometry-i/): Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. - [Aspects of Constructibility](https://online.neatra.in/product/aspects-of-constructibility/) - [Around the Unit Circle: Mahler Measure, Integer Matrices and Roots of Unity](https://online.neatra.in/product/around-the-unit-circle-mahler-measure-integer-matrices-and-roots-of-unity/): A thorough introduction to the combinatorial approach to Mahler measure and more Presents results that have not previously appeared in book form Includes new tables of small Mahler measures and limit points Appendices on prerequisites make the book self-contained - [Around Classification Theory of Models](https://online.neatra.in/product/around-classification-theory-of-models/) - [Arithmetical Investigations: Representation Theory, Orthogonal Polynomials, and Quantum Interpolations](https://online.neatra.in/product/arithmetical-investigations-representation-theory-orthogonal-polynomials-and-quantum-interpolations/): Includes supplementary material: sn.pub/extras - [Arithmetic Theory of Elliptic Curves: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)held in Cetaro, Italy, July 12-19, 1997](https://online.neatra.in/product/arithmetic-theory-of-elliptic-curves-lectures-given-at-the-3rd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-cetaro-italy-july-12-19-1997/): Includes supplementary material: sn.pub/extras - [Arithmetic Tales](https://online.neatra.in/product/arithmetic-tales/): This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses.Extensively revised and extended, this Advanced Edition takes a deeper dive into the subject, with the elementary topics of the previous edition making way for a fuller treatment of more advanced topics. - [Arithmetic on Elliptic Curves with Complex Multiplication](https://online.neatra.in/product/arithmetic-on-elliptic-curves-with-complex-multiplication/) - [Arithmetic of p-adic Modular Forms](https://online.neatra.in/product/arithmetic-of-p-adic-modular-forms/): The central topic of this research monograph is the relation between p-adic modular forms and p-adic Galois representations, and in particular the theory of deformations of Galois representations recently introduced by Mazur. The classical theory of modular forms is assumed known to the reader, but the p-adic theory is reviewed in detail, with ample intuitive and heuristic discussion, so that the book will serve as a convenient point of entry to research in that area. - [Arithmetic of Complex Manifolds: Proceedings of a Conference held in Erlangen, FRG, May 27-31, 1988](https://online.neatra.in/product/arithmetic-of-complex-manifolds-proceedings-of-a-conference-held-in-erlangen-frg-may-27-31-1988/): It was the aim of the Erlangen meeting in May 1988 to bring together number theoretists and algebraic geometers to discuss problems of common interest, such as moduli problems, complex tori, integral points, rationality questions, automorphic forms. In recent years such problems, which are simultaneously of arithmetic and geometric interest, have become increasingly important. - [Arithmetic Groups](https://online.neatra.in/product/arithmetic-groups/) - [Arithmetic Geometry: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007](https://online.neatra.in/product/arithmetic-geometry-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-september-10-15-2007/): Includes supplementary material: sn.pub/extras - [Arithmetic and Geometry over Local Fields](https://online.neatra.in/product/arithmetic-and-geometry-over-local-fields/): This volume introduces some recent developments in Arithmetic Geometry over local fields. Its seven chapters are centered around two common themes: the study of Drinfeld modules and non-Archimedean analytic geometry. - [Arithmetic Algebraic Geometry: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Trento, Italy, June 24-July 2, 1991](https://online.neatra.in/product/arithmetic-algebraic-geometry-lectures-given-at-the-2nd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-trento-italy-june-24-july-2-1991/): This volume contains three long lecture series by J.L. Colliot-Thelene, Kazuya Kato and P. Vojta. Their topics are respectively the connection between algebraic K-theory and the torsion algebraic cycles on an algebraic variety, a new approach to Iwasawa theory for Hasse-Weil L-function, and the applications of arithemetic geometry to Diophantine approximation. - [Arbeitstagung Bonn 1984: Proceedings of the Meeting held by the Max-Planck-Institut für Mathematik, Bonn, June 15-22, 1984](https://online.neatra.in/product/arbeitstagung-bonn-1984-proceedings-of-the-meeting-held-by-the-max-planck-institut-fur-mathematik-bonn-june-15-22-1984/) - [Arakelov Geometry over Adelic Curves](https://online.neatra.in/product/arakelov-geometry-over-adelic-curves/): Introduces a new mathematical theory having strong links with several research domains Opens new research topics with original research results| attracts attention from researchers and graduate students Presents in detail the background and the foundation of an Arakelov theory over adelic curves - [Arakelov Geometry and Diophantine Applications](https://online.neatra.in/product/arakelov-geometry-and-diophantine-applications/): Bridging the gap between novice and expert, the aim of this book is to present in a self-contained way a number of striking examples of current diophantine problems to which Arakelov geometry has been or may be applied. Arakelov geometry can be seen as a link between algebraic geometry and diophantine geometry. - [Arabic Logic from al-Farabi to Averroes: A Study of the Early Arabic Categorical, Modal, and Hypothetical Syllogistics](https://online.neatra.in/product/arabic-logic-from-al-farabi-to-averroes-a-study-of-the-early-arabic-categorical-modal-and-hypothetical-syllogistics/): Enhances readers understanding by clarifying the theories and arguments of the three early Arabic logicians and situating them within the evolution of logic as a discipline Explores Arabic logic through a global lens, helping readers to understand its relationship to the logical traditions of other areas of the world Relies on the original versions of the Arabic texts, ensuring accuracy of the authorÂ’s analysis - [Approximation Theory: Proceedings of an International Conference held at Bonn, Germany, June 8-11, 1976](https://online.neatra.in/product/approximation-theory-proceedings-of-an-international-conference-held-at-bonn-germany-june-8-11-1976/) - [Approximation Theory. Tampa: Proceedings of a Seminar held in Tampa, Florida, 1985 - 1986](https://online.neatra.in/product/approximation-theory-tampa-proceedings-of-a-seminar-held-in-tampa-florida-1985-1986/) - [Approximation Theory in Tensor Product Spaces](https://online.neatra.in/product/approximation-theory-in-tensor-product-spaces/) - [Approximation of Free-Discontinuity Problems](https://online.neatra.in/product/approximation-of-free-discontinuity-problems/): Functionals involving both volume and surface energies have a number of applications ranging from Computer Vision to Fracture Mechanics. In order to tackle numerical and dynamical problems linked to such functionals many approximations by functionals defined on smooth functions have been proposed (using high-order singular perturbations, finite-difference or non-local energies, etc.) - [Approximation Methods in Probability Theory](https://online.neatra.in/product/approximation-methods-in-probability-theory/): This book presents a wide range of well-known and less common methods used for estimating the accuracy of probabilistic approximations, including the Esseen type inversion formulas, the Stein method as well as the methods of convolutions and triangle function. - [Approximation Methods for Navier-Stokes Problems: Proceedings of the Symposium Held by the International Union of Theoretical and Applied Mechanics (IUTAM) at the University of Paderborn, Germany, September 9-15, 1979](https://online.neatra.in/product/approximation-methods-for-navier-stokes-problems-proceedings-of-the-symposium-held-by-the-international-union-of-theoretical-and-applied-mechanics-iutam-at-the-university-of-paderborn-germany-sep/) - [Approximation and Optimization: Proceedings of the International Seminar, held in Havana, Cuba, January 12-16, 1987](https://online.neatra.in/product/approximation-and-optimization-proceedings-of-the-international-seminar-held-in-havana-cuba-january-12-16-1987/) - [Approximate Identities and Factorization in Banach Modules](https://online.neatra.in/product/approximate-identities-and-factorization-in-banach-modules/) - [Approximate Deconvolution Models of Turbulence: Analysis, Phenomenology and Numerical Analysis](https://online.neatra.in/product/approximate-deconvolution-models-of-turbulence-analysis-phenomenology-and-numerical-analysis/): Comprehensive treatment of the subject including modeling, analysis, phenomenology and numerical analysis Includes both turbulence models and Navier-Stokes regularizations Presents current state of the models and indicates important questions for further development - [Approaching the Kannan-Lovász-Simonovits and Variance Conjectures](https://online.neatra.in/product/approaching-the-kannan-lovasz-simonovits-and-variance-conjectures/): Focusing on two central conjectures of Asymptotic Geometric Analysis, the Kannan-Lovász-Simonovits spectral gap conjecture and the variance conjecture, these Lecture Notes present the theory in an accessible way, so that interested readers, even those who are not experts in the field, will be able to appreciate the treated topics. - [Applied Stochastic Control of Jump Diffusions](https://online.neatra.in/product/applied-stochastic-control-of-jump-diffusions/): Contains recent developments within stochastic control and its applications Discusses both the dynamic programming method and the stochastic maximum principle method Comprehensively presents financial markets modelled by jump diffusions, backward stochastic differential equations and convex risk measures Includes optimal control of mean-field systems and stochastic differential games in the expanded and updated chapters about optimal stopping and stochastic control - [Applied Nonautonomous and Random Dynamical Systems: Applied Dynamical Systems](https://online.neatra.in/product/applied-nonautonomous-and-random-dynamical-systems-applied-dynamical-systems/): This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. - [Applied Mathematical Problems in Geophysics](https://online.neatra.in/product/applied-mathematical-problems-in-geophysics/): This CIME Series book provides mathematical and simulation tools to help resolve environmental hazard and security-related issues. - [Applications of Sheaves: Proceedings of the Research Symposium on Applications of Sheaf Theory to Logic, Algebra and Analysis, Durham, July 9-21, 1977](https://online.neatra.in/product/applications-of-sheaves-proceedings-of-the-research-symposium-on-applications-of-sheaf-theory-to-logic-algebra-and-analysis-durham-july-9-21-1977/) - [Applications of Lie Groups to Differential Equations](https://online.neatra.in/product/applications-of-lie-groups-to-differential-equations/): Symmetry methods have long been recognized to be of great importance for the study of the differential equations. This book provides a solid introduction to those applications of Lie groups to differential equations which have proved to be useful in practice. - [Applications of Holomorphic Functions in Geometry](https://online.neatra.in/product/applications-of-holomorphic-functions-in-geometry/): This book expounds on the recent developments in applications of holomorphic functions in the theory of hypercomplex and anti-Hermitian manifolds as well as in the geometry of bundles. It provides detailed information about holomorphic functions in algebras and discusses some of the areas in geometry with applications. - [Applications of Differential-Algebraic Equations: Examples and Benchmarks](https://online.neatra.in/product/applications-of-differential-algebraic-equations-examples-and-benchmarks/): This volume encompasses prototypical, innovative and emerging examples and benchmarks of Differential-Algebraic Equations (DAEs) and their applications, such as electrical networks, chemical reactors, multibody systems, and multiphysics models, to name but a few. - [Anisotropic hp-Mesh Adaptation Methods](https://online.neatra.in/product/anisotropic-hp-mesh-adaptation-methods/): Mesh adaptation methods can have a profound impact on the numerical solution of partial differential equations. If devised and implemented properly, adaptation significantly reduces the size of the algebraic systems resulting from the discretization, while ensuring that applicable error tolerances are met. - [Ancient Mathematics: History of Mathematics in Ancient Greece and Hellenism](https://online.neatra.in/product/ancient-mathematics-history-of-mathematics-in-ancient-greece-and-hellenism/): The volume contains a comprehensive and problem-oriented presentation of ancient Greek mathematics from Thales to Proklos Diadochos. Exemplarily, a cross-section of Greek mathematics is offered, whereby also such works of scientists are appreciated in detail, of which no German translation is available. - [Analyticity and Sparsity in Uncertainty Quantification for PDEs with Gaussian Random Field Inputs](https://online.neatra.in/product/analyticity-and-sparsity-in-uncertainty-quantification-for-pdes-with-gaussian-random-field-inputs/): There is no similar text, at present, where sparsity forward and inverse UQ for these PDEs can be currently found About subsurface flow, linearly elastic deformations of random medium in solid mechanics, time-harmonic electromagnetics Applications to math. of computational PDE uncertainty quantification, comp. sci. and engineering, approximation theory - [Analytically Uniform Spaces and Their Applications to Convolution Equations](https://online.neatra.in/product/analytically-uniform-spaces-and-their-applications-to-convolution-equations/) - [Analytical Performance Modeling for Computer Systems, Third Edition](https://online.neatra.in/product/analytical-performance-modeling-for-computer-systems-third-edition/): This book is an introduction to analytical performance modeling for computer systems, i.e., writing equations to describe their performance behavior. It is accessible to readers who have taken college-level courses in calculus and probability, networking, and operating systems. - [Analytic Theory of the Harish-Chandra C-Function](https://online.neatra.in/product/analytic-theory-of-the-harish-chandra-c-function/) - [Analytic Theory of Itô-Stochastic Differential Equations with Non-smooth Coefficients](https://online.neatra.in/product/analytic-theory-of-ito-stochastic-differential-equations-with-non-smooth-coefficients/): This book provides analytic tools to describe local and global behavior of solutions to Itô-stochastic differential equations with non-degenerate Sobolev diffusion coefficients and locally integrable drift. - [Analytic Theory of Differential Equations: The Proceedings of the Conference at Western Michigan University, Kalamazoo, from 30 April to 2 May 1970](https://online.neatra.in/product/analytic-theory-of-differential-equations-the-proceedings-of-the-conference-at-western-michigan-university-kalamazoo-from-30-april-to-2-may-1970/) - [Analytic Theory of Continued Fractions: Proceedings of a Seminar-Workshop Held at Loen, Norway, 1981](https://online.neatra.in/product/analytic-theory-of-continued-fractions-proceedings-of-a-seminar-workshop-held-at-loen-norway-1981/) - [Classification Theory: Proceedings of the U.S.-Israel Workshop on Model Theory in Mathematical Logic Held in Chicago, Dec. 15-19, 1985](https://online.neatra.in/product/classification-theory-proceedings-of-the-u-s-israel-workshop-on-model-theory-in-mathematical-logic-held-in-chicago-dec-15-19-1985/) - [Classification Theory of Riemannian Manifolds: Harmonic, Quasiharmonic and Biharmonic Functions](https://online.neatra.in/product/classification-theory-of-riemannian-manifolds-harmonic-quasiharmonic-and-biharmonic-functions/) - [Classification of Irregular Varieties: Minimal Models and Abelian Varieties. Proceedings of a Conference held in Trento, Italy, 17-21 December, 1990](https://online.neatra.in/product/classification-of-irregular-varieties-minimal-models-and-abelian-varieties-proceedings-of-a-conference-held-in-trento-italy-17-21-december-1990/) - [Classification of Algebraic Varieties and Compact Complex Manifolds](https://online.neatra.in/product/classification-of-algebraic-varieties-and-compact-complex-manifolds/) - [Classically Semisimple Rings: A Perspective Through Modules and Categories](https://online.neatra.in/product/classically-semisimple-rings-a-perspective-through-modules-and-categories/): Classically Semisimple Rings is a textbook on rings, modules and categories, aimed at advanced undergraduate and beginning graduate students. The book presents the classical theory of semisimple rings from a modern, category-theoretic point of view. - [Classical Summation in Commutative and Noncommutative Lp-Spaces](https://online.neatra.in/product/classical-summation-in-commutative-and-noncommutative-lp-spaces/): Includes supplementary material: sn.pub/extras - [Classical Mirror Symmetry](https://online.neatra.in/product/classical-mirror-symmetry/): This book furnishes a brief introduction to classical mirror symmetry, a term that denotes the process of computing Gromov–Witten invariants of a Calabi–Yau threefold by using the Picard–Fuchs differential equation of period integrals of its mirror Calabi–Yau threefold. The book concentrates on the best-known example, the quintic hypersurface in 4-dimensional projective space, and its mirror manifold. - [Classical Microlocal Analysis in the Space of Hyperfunctions](https://online.neatra.in/product/classical-microlocal-analysis-in-the-space-of-hyperfunctions/): Includes supplementary material: sn.pub/extras - [Classical Diophantine Equations](https://online.neatra.in/product/classical-diophantine-equations/): The author had initiated a revision and translation of "Classical Diophantine Equations" prior to his death. Given the rapid advances in transcendence theory and diophantine approximation over recent years, one might fear that the present work, originally published in Russian in 1982, is mostly superseded. - [Classical Banach-Lie Algebras and Banach-Lie Groups of Operators in Hilbert Space](https://online.neatra.in/product/classical-banach-lie-algebras-and-banach-lie-groups-of-operators-in-hilbert-space/) - [Classical Banach Spaces](https://online.neatra.in/product/classical-banach-spaces/): Springer-Verlag began publishing books in higher mathematics in 1920, when the series Grundlehren der mathematischen Wissenschaften, initially conceived as a series of advanced textbooks, was founded by Richard Courant. A few years later a new series Ergebnisse der Mathematik und ihrer Grenzgebiete, survey reports of recent mathematical research, was added. - [Classes of Good Noetherian Rings](https://online.neatra.in/product/classes-of-good-noetherian-rings/): This monograph provides an exhaustive treatment of several classes of Noetherian rings and morphisms of Noetherian local rings. Chapters carefully examine some of the most important topics in the area, including Nagata, F-finite and excellent rings, BertiniÂ’s Theorem, and Cohen factorizations. - [Cinquante Ans de Polynomes - Fifty Years of Polynomials: Proceedings of a Conference held in honour of Alain Durand at the Institut Henri Poincare. Paris, France, May 26-27, 1988](https://online.neatra.in/product/cinquante-ans-de-polynomes-fifty-years-of-polynomials-proceedings-of-a-conference-held-in-honour-of-alain-durand-at-the-institut-henri-poincare-paris-france-may-26-27-1988/): Before his untimely death in 1986, Alain Durand had undertaken a systematic and in-depth study of the arithmetic perspectives of polynomials. Four unpublished articles of his, formed the centerpiece of attention at a colloquium in Paris in 1988 and are reproduced in this volume together with 11 other papers on closely related topics - [Choquet Order and Simplices: With Applications in Probabilistic Models](https://online.neatra.in/product/choquet-order-and-simplices-with-applications-in-probabilistic-models/) - [CherlinÂ’s Conjecture for Finite Primitive Binary Permutation Groups](https://online.neatra.in/product/cherlinas-conjecture-for-finite-primitive-binary-permutation-groups/): This book gives a proof of CherlinÂ’s conjecture for finite binary primitive permutation groups. Motivated by the part of model theory concerned with LachlanÂ’s theory of finite homogeneous relational structures, this conjecture proposes a classification of those finite primitive permutation groups that have relational complexity equal to 2. - [Characters and Cyclotomic Fields in Finite Geometry](https://online.neatra.in/product/characters-and-cyclotomic-fields-in-finite-geometry/): Includes supplementary material: sn.pub/extras - [Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids](https://online.neatra.in/product/characterizing-groupoid-c-algebras-of-non-hausdorff-etale-groupoids/): This book develops tools to handle C*-algebras arising as completions of convolution algebras of sections of line bundles over possibly non-Hausdorff groupoids. A fundamental result of Gelfand describes commutative C*-algebras as continuous functions on locally compact Hausdorff spaces. - [Characterizations of Probability Distributions.: A Unified Approach with an Emphasis on Exponential and Related Models.](https://online.neatra.in/product/characterizations-of-probability-distributions-a-unified-approach-with-an-emphasis-on-exponential-and-related-models/) - [Characterization of Distributions by the Method of Intensively Monotone Operators](https://online.neatra.in/product/characterization-of-distributions-by-the-method-of-intensively-monotone-operators/) - [Chaos: An Introduction for Applied Mathematicians](https://online.neatra.in/product/chaos-an-introduction-for-applied-mathematicians/): This is a textbook on chaos and nonlinear dynamics, written by applied mathematicians for applied mathematicians. It aims to tread a middle ground between the mathematician's rigour and the physicistÂ’s pragmatism. - [Change of Time Methods in Quantitative Finance](https://online.neatra.in/product/change-of-time-methods-in-quantitative-finance/): New approach in quantitative finance-change of time method (for standard diffusion and Levy-based finance models), which is different from a traditional one using subordinators Contains the solutions of new problems in quantitative finance such as pricing of variance and volatility swaps in energy markets and hedging of volatility swaps (with hedge ratio), to name a few Contains new financial models such as delayed Heston model that improves the volatility surface fitting Includes supplementary material: sn.pub/extras - [Change and Variations](https://online.neatra.in/product/change-and-variations/): This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900. - [Chain Conjectures in Ring Theory: An Exposition of Conjectures on Catenary Chains](https://online.neatra.in/product/chain-conjectures-in-ring-theory-an-exposition-of-conjectures-on-catenary-chains/) - [Certified Reduced Basis Methods for Parametrized Partial Differential Equations](https://online.neatra.in/product/certified-reduced-basis-methods-for-parametrized-partial-differential-equations/): The first book to introduce certified reduced basis methods for parametrized partial differentiation equations Unique focus on both the mathematical aspects and algorithmic elements of the methods Essential examples provide a point of departure for the development of more advanced applications Includes supplementary material: sn.pub/extras - [Cellular Spaces, Null Spaces and Homotopy Localization](https://online.neatra.in/product/cellular-spaces-null-spaces-and-homotopy-localization/): In this monograph we give an exposition of some recent development in homotopy theory. It relates to advances in periodicity in homotopy localization and in cellular spaces. - [Cech Cohomological Dimensions for Commutative Rings](https://online.neatra.in/product/cech-cohomological-dimensions-for-commutative-rings/) - [Cech and Steenrod Homotopy Theories with Applications to Geometric Topology](https://online.neatra.in/product/cech-and-steenrod-homotopy-theories-with-applications-to-geometric-topology/) - [Cauchy Problem for Differential Operators with Double Characteristics: Non-Effectively Hyperbolic Characteristics](https://online.neatra.in/product/cauchy-problem-for-differential-operators-with-double-characteristics-non-effectively-hyperbolic-characteristics/): Combining geometrical and microlocal tools, this monograph gives detailed proofs of many well/ill-posed results related to the Cauchy problem for di?erential operators with non-e?ectively hyperbolic double characteristics. Previously scattered over numerous di?erent publications, the results are presented from the viewpoint that the Hamilton map and the geometry of bicharacteristics completely characterizes the well/ill-posedness of the Cauchy problem. - [Category Theory: Proceedings of the International Conference held in Como, Italy, July 22-28, 1990](https://online.neatra.in/product/category-theory-proceedings-of-the-international-conference-held-in-como-italy-july-22-28-1990/): With one exception, these papers are original and fully refereed research articles on various applications of Category Theory to Algebraic Topology, Logic and Computer Science. The exception is an outstanding and lengthy survey paper by Joyal/Street (80 pp) on a growing subject: it gives an account of classical Tannaka duality in such a way as to be accessible to the general mathematical reader, and to provide a key for entry to more recent developments and quantum groups. - [Category Theory: Applications to Algebra, Logic and Topology. Proceedings of the International Conference Held at Gummersbach, July 6-10, 1981](https://online.neatra.in/product/category-theory-applications-to-algebra-logic-and-topology-proceedings-of-the-international-conference-held-at-gummersbach-july-6-10-1981/) - [Category Theory, Homology Theory and Their Applications. Proceedings of the Conference Held at the Seattle Research of the Battelle Memorial Institute, June 24 - July 19, 1968: Volume 3](https://online.neatra.in/product/category-theory-homology-theory-and-their-applications-proceedings-of-the-conference-held-at-the-seattle-research-of-the-battelle-memorial-institute-june-24-july-19-1968-volume-3/) - [Category Theory, Homology Theory and Their Applications. Proceedings of the Conference Held at the Seattle Research Center of the Battelle Memorial Institute, June 24 - July 19, 1968: Volume 2](https://online.neatra.in/product/category-theory-homology-theory-and-their-applications-proceedings-of-the-conference-held-at-the-seattle-research-center-of-the-battelle-memorial-institute-june-24-july-19-1968-volume-2/) - [Category Theory, Homology Theory and Their Applications. Proceedings of the Conference Held at the Seattle Research Center of the Battelle Memorial Institute, June 24 - July 19, 1968: Volume 1](https://online.neatra.in/product/category-theory-homology-theory-and-their-applications-proceedings-of-the-conference-held-at-the-seattle-research-center-of-the-battelle-memorial-institute-june-24-july-19-1968-volume-1/) - [Category Seminar: Proceedings Sydney Category Theory Seminar 1972 /1973](https://online.neatra.in/product/category-seminar-proceedings-sydney-category-theory-seminar-1972-1973/) - [Categories of Boolean Sheaves of Simple Algebras](https://online.neatra.in/product/categories-of-boolean-sheaves-of-simple-algebras/) - [Categories of Algebraic Systems: Vector and Projective Spaces, Semigroups, Rings and Lattices](https://online.neatra.in/product/categories-of-algebraic-systems-vector-and-projective-spaces-semigroups-rings-and-lattices/) - [Categories in Continuum Physics: Lectures Given at a Workshop Held at SUNY, Buffalo 1982](https://online.neatra.in/product/categories-in-continuum-physics-lectures-given-at-a-workshop-held-at-suny-buffalo-1982/) - [Categorical Topology: Proceedings of the International Conference, Berlin, August 27th to September 2nd 1978](https://online.neatra.in/product/categorical-topology-proceedings-of-the-international-conference-berlin-august-27th-to-september-2nd-1978/) - [Categorical Topology: Proceedings of the Conference held at Mannheim, 21-25 July 1975](https://online.neatra.in/product/categorical-topology-proceedings-of-the-conference-held-at-mannheim-21-25-july-1975/) - [Categorical Constructions in Stable Homotopy Theory: A Seminar Given at the ETH, Zürich, in 1967](https://online.neatra.in/product/categorical-constructions-in-stable-homotopy-theory-a-seminar-given-at-the-eth-zurich-in-1967/) - [Categorical Aspects of Topology and Analysis: Proceedings of an International Conference Held at Carleton University, Ottawa, August 11-15, 1981](https://online.neatra.in/product/categorical-aspects-of-topology-and-analysis-proceedings-of-an-international-conference-held-at-carleton-university-ottawa-august-11-15-1981/) - [Categorical Algebra and its Applications: Proceedings of a Conference, Held in Louvain-la-Neuve, Belgium, July 26 - August 1, 1987](https://online.neatra.in/product/categorical-algebra-and-its-applications-proceedings-of-a-conference-held-in-louvain-la-neuve-belgium-july-26-august-1-1987/): Categorical algebra and its applications contain several fundamental papers on general category theory, by the top specialists in the field, and many interesting papers on the applications of category theory in functional analysis, algebraic topology, algebraic geometry, general topology, ring theory, cohomology, differential geometry, group theory, mathematical logic and computer sciences. - [CAT(0) Cube Complexes: An Introduction](https://online.neatra.in/product/cat0-cube-complexes-an-introduction/): First self-contained, comprehensive introduction to CAT(0) cube complexes Topics range from basic prerequisites to a variety of advanced topics Suitable for use in a graduate course or for independent study - [Case Studies in Applied Bayesian Data Science: CIRM Jean-Morlet Chair, Fall 2018](https://online.neatra.in/product/case-studies-in-applied-bayesian-data-science-cirm-jean-morlet-chair-fall-2018/): Presenting a range of substantive applied problems within Bayesian Statistics along with their Bayesian solutions, this book arises from a research program at CIRM in France in the second semester of 2018, which supported Kerrie Mengersen as a visiting Jean-Morlet Chair and Pierre Pudlo as the local Research Professor. - [Carleman Estimates for Second Order Partial Differential Operators and Applications: A Unified Approach](https://online.neatra.in/product/carleman-estimates-for-second-order-partial-differential-operators-and-applications-a-unified-approach/): Self-contained introduction to Carleman estimates for three typical second order partial differential equations All Carleman estimates are derived from a fundamental identity for a second order partial differential operator Of wide interest to researchers in the field - [Capacity Theory on Algebraic Curves](https://online.neatra.in/product/capacity-theory-on-algebraic-curves/): Capacity is a measure of size for sets, with diverse applications in potential theory, probability and number theory. This book lays foundations for a theory of capacity for adelic sets on algebraic curves. - [Canonical Gibbs Measures: Some Extensions of de Finetti's Representation Theorem for Interacting Particle Systems](https://online.neatra.in/product/canonical-gibbs-measures-some-extensions-of-de-finettis-representation-theorem-for-interacting-particle-systems/) - [Cambridge Summer School in Mathematical Logic: Held in Cambridge /U. K., August 1-21, 1971](https://online.neatra.in/product/cambridge-summer-school-in-mathematical-logic-held-in-cambridge-u-k-august-1-21-1971/) - [Calderon-Zygmund Operators, Pseudo-Differential Operators and the Cauchy Integral of Calderon](https://online.neatra.in/product/calderon-zygmund-operators-pseudo-differential-operators-and-the-cauchy-integral-of-calderon/) - [Calculus off the Beaten Path](https://online.neatra.in/product/calculus-off-the-beaten-path/): This textbook provides a gentle overview of fundamental concepts related to one-variable calculus. The original approach is a result of the authorÂ’s forty years of experience in teaching the subject at universities around the world. - [Calculus of Variations and Partial Differential Equations: Proceedings of a Conference, held in Trento, Italy, June 16-21, 1986](https://online.neatra.in/product/calculus-of-variations-and-partial-differential-equations-proceedings-of-a-conference-held-in-trento-italy-june-16-21-1986/) - [Calculus of Variations and Nonlinear Partial Differential Equations: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 27 - July 2, 2005](https://online.neatra.in/product/calculus-of-variations-and-nonlinear-partial-differential-equations-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-june-27-july-2-2005/): Includes supplementary material: sn.pub/extras - [Calculus of Variations and Geometric Evolution Problems: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)held in Cetaro, Italy, June 15-22, 1996](https://online.neatra.in/product/calculus-of-variations-and-geometric-evolution-problems-lectures-given-at-the-2nd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-cetaro-italy-june-15-22-1996/): Includes supplementary material: sn.pub/extras - [Calculus in Vector Spaces without Norm](https://online.neatra.in/product/calculus-in-vector-spaces-without-norm/) - [Calculus and Linear Algebra in Recipes: Terms, phrases and numerous examples in short learning units](https://online.neatra.in/product/calculus-and-linear-algebra-in-recipes-terms-phrases-and-numerous-examples-in-short-learning-units/): This book provides a clear and easy-to-understand introduction to higher mathematics with numerous examples. The author shows how to solve typical problems in a recipe-like manner and divides the material into short, easily digestible learning units. - [Cabal Seminar 77 – 79: Proceedings, Caltech-UCLA Logic Seminar 1977 – 79](https://online.neatra.in/product/cabal-seminar-77-a-79-proceedings-caltech-ucla-logic-seminar-1977-a-79/) - [Cabal Seminar 76–77: Proceedings, Caltech-UCLA Logic Seminar 1976–77](https://online.neatra.in/product/cabal-seminar-76a-77-proceedings-caltech-ucla-logic-seminar-1976a-77/) - [C^infinity - Differentiable Spaces](https://online.neatra.in/product/cinfinity-differentiable-spaces/): The volume develops the foundations of differential geometry so as to include finite-dimensional spaces with singularities and nilpotent functions, at the same level as is standard in the elementary theory of schemes and analytic spaces. - [C*-Algebras and Applications to Physics: Proceedings, Second Japan-USA Seminar, Los Angeles, April 18-22, 1977](https://online.neatra.in/product/c-algebras-and-applications-to-physics-proceedings-second-japan-usa-seminar-los-angeles-april-18-22-1977/) - [Burnside Groups: Proceedings of a Workshop Held at the University of Bielefeld, Germany, June-July 1977](https://online.neatra.in/product/burnside-groups-proceedings-of-a-workshop-held-at-the-university-of-bielefeld-germany-june-july-1977/) - [Burgers-KPZ Turbulence: Göttingen Lectures](https://online.neatra.in/product/burgers-kpz-turbulence-gottingen-lectures/): These lecture notes are woven around the subject of Burgers' turbulence/KPZ model of interface growth, a study of the nonlinear parabolic equation with random initial data. The analysis is conducted mostly in the space-time domain, with less attention paid to the frequency-domain picture. - [Bundles of Topological Vector Spaces and Their Duality](https://online.neatra.in/product/bundles-of-topological-vector-spaces-and-their-duality/) - [Buildings of Spherical Type and Finite BN-Pairs](https://online.neatra.in/product/buildings-of-spherical-type-and-finite-bn-pairs/): These notes are a slightly revised and extended version of mim- graphed notes written on the occasion of a seminar on buildings and BN-pairs held at Oberwolfach in April 1968. Their main purpose is to present the solution of the following two problems: (A) Determination of the buildings of rank >| and irreducible, spherical type, other than ~ and H ("of spherical type" means "with finite Weyl 4 group", about the excluded types H, cf. the addenda on p. 274). - [Buildings and the Geometry of Diagrams: Lectures given at the 3rd 1984 Session of the Centro Inter- nazionale Matematico Estivo (C.I.M.E.) held at Como, Italy, August 26 - September 4, 1984](https://online.neatra.in/product/buildings-and-the-geometry-of-diagrams-lectures-given-at-the-3rd-1984-session-of-the-centro-inter-nazionale-matematico-estivo-c-i-m-e-held-at-como-italy-august-26-september-4-1984/) - [Building Bridges Between Algebra and Topology](https://online.neatra.in/product/building-bridges-between-algebra-and-topology/): This volume presents an elaborated version of lecture notes for two advanced courses: (Re)Emerging methods in Commutative Algebra and Representation Theory and Building Bridges Between Algebra and Topology, held at the CRM in the spring of 2015. - [Brownian Motion and Stochastic Calculus](https://online.neatra.in/product/brownian-motion-and-stochastic-calculus/): A perennial best-seller, now in its fourth printing Brownian motion is currently a hot topic in mathematics Karatzas is one of the leaders in the field of stochastics and finance - [Brownian Motion and its Applications to Mathematical Analysis: École d'Été de Probabilités de Saint-Flour XLIII – 2013](https://online.neatra.in/product/brownian-motion-and-its-applications-to-mathematical-analysis-ecole-dete-de-probabilites-de-saint-flour-xliii-a-2013/): Contains interesting examples of couplings Gentle introduction to Brownian motion and analysis Heuristic explanations of the main results - [Brauer Groups: Proceedings of the Conference held at Evanston, October 11-15, 1975](https://online.neatra.in/product/brauer-groups-proceedings-of-the-conference-held-at-evanston-october-11-15-1975/) - [Brauer Groups in Ring Theory and Algebraic Geometry: Proceedings, University of Antwerp U.I.A., Belgium, August 17-28, 1981](https://online.neatra.in/product/brauer-groups-in-ring-theory-and-algebraic-geometry-proceedings-university-of-antwerp-u-i-a-belgium-august-17-28-1981/) - [Branching Random Walks: École d'Été de Probabilités de Saint-Flour XLII – 2012](https://online.neatra.in/product/branching-random-walks-ecole-dete-de-probabilites-de-saint-flour-xlii-a-2012/): Includes supplementary material: sn.pub/extras - [Branching Process Models of Cancer](https://online.neatra.in/product/branching-process-models-of-cancer/): The first volume published in the new series Mathematical Biosciences Institute Concise and easy to understand for graduate students familiar with Poisson processes and continuous time Markov chains Includes examples and theorems throughout - [Branched Standard Spines of 3-manifolds](https://online.neatra.in/product/branched-standard-spines-of-3-manifolds/): This book provides a unified combinatorial realization of the categroies of (closed, oriented) 3-manifolds, combed 3-manifolds, framed 3-manifolds and spin 3-manifolds. In all four cases the objects of the realization are finite enhanced graphs, and only finitely many local moves have to be taken into account. - [Brakke's Mean Curvature Flow](https://online.neatra.in/product/brakkes-mean-curvature-flow/): This book explains the notion of BrakkeÂ’s mean curvature flow and its existence and regularity theories without assuming familiarity with geometric measure theory. The focus of study is a time-parameterized family of k-dimensional surfaces in the n-dimensional Euclidean space (1 ? k < n). - [Braids and Dynamics](https://online.neatra.in/product/braids-and-dynamics/): This monograph uses braids to explore dynamics on surfaces, with an eye towards applications to mixing in fluids. The text uses the particular example of taffy pulling devices to represent pseudo-Anosov maps in practice. - [Bounds and Asymptotics for Orthogonal Polynomials for Varying Weights](https://online.neatra.in/product/bounds-and-asymptotics-for-orthogonal-polynomials-for-varying-weights/): This book establishes bounds and asymptotics under almost minimal conditions on the varying weights, and applies them to universality limits and entropy integrals. Orthogonal polynomials associated with varying weights play a key role in analyzing random matrices and other topics. - [Boundedly Controlled Topology: Foundations of Algebraic Topology and Simple Homotopy Theory](https://online.neatra.in/product/boundedly-controlled-topology-foundations-of-algebraic-topology-and-simple-homotopy-theory/): Several recent investigations have focused attention on spaces and manifolds which are non-compact but where the problems studied have some kind of "control near infinity". This monograph introduces the category of spaces that are "boundedly controlled" over the (usually non-compact) metric space Z. - [Boundary Value Problems and Markov Processes](https://online.neatra.in/product/boundary-value-problems-and-markov-processes/): This 3rd edition provides an insight into the mathematical crossroads formed by functional analysis (the macroscopic approach), partial differential equations (the mesoscopic approach) and probability (the microscopic approach) via the mathematics needed for the hard parts of Markov processes. - [Boundary Theory for Symmetric Markov Processes](https://online.neatra.in/product/boundary-theory-for-symmetric-markov-processes/) - [Bose Algebras: The Complex and Real Wave Representations](https://online.neatra.in/product/bose-algebras-the-complex-and-real-wave-representations/): The mathematics of Bose-Fock spaces is built on the notion of a commutative algebra and this algebraic structure makes the theory appealing both to mathematicians with no background in physics and to theorectical and mathematical physicists who will at once recognize that the familiar set-up does not obscure the direct relevance to theoretical physics. - [Bordism of Diffeomorphisms and Related Topics](https://online.neatra.in/product/bordism-of-diffeomorphisms-and-related-topics/) - [Borcherds Products on O(2,l) and Chern Classes of Heegner Divisors](https://online.neatra.in/product/borcherds-products-on-o2l-and-chern-classes-of-heegner-divisors/): Includes supplementary material: sn.pub/extras - [Blow-up Theories for Semilinear Parabolic Equations](https://online.neatra.in/product/blow-up-theories-for-semilinear-parabolic-equations/): There are many lengthy books in blowup theories, this one is short and appropriate for graduate students. Emphasize the methods, avoid massive technical computations. Good enough for a one semester course. - [Blocks of Tame Representation Type and Related Algebras](https://online.neatra.in/product/blocks-of-tame-representation-type-and-related-algebras/): This monograph studies algebras that are associated to blocks of tame representation type. Over the past few years, a range of new results have been obtained and a comprehensive account of these is provided here to- gether with some new proofs of known results. - [Blocks of Finite Groups and Their Invariants](https://online.neatra.in/product/blocks-of-finite-groups-and-their-invariants/): Covers a comprehensive range of the most recent literature on block theory Contains new previously unpublished material Can be used as a handy reference for blocks with given defect groups Includes supplementary material: sn.pub/extras - [Blocks and Families for Cyclotomic Hecke Algebras](https://online.neatra.in/product/blocks-and-families-for-cyclotomic-hecke-algebras/): Includes supplementary material: sn.pub/extras - [Bite-Sized Operations Management](https://online.neatra.in/product/bite-sized-operations-management/): This text is an introduction to Operations Management. Three themes are woven throughout the book: optimization or trying to do the best we can, managing tradeoffs between conflicting objectives, and dealing with uncertainty. - [Biset Functors for Finite Groups](https://online.neatra.in/product/biset-functors-for-finite-groups/): Includes supplementary material: sn.pub/extras - [Birational Geometry of Hypersurfaces: Gargnano del Garda, Italy, 2018](https://online.neatra.in/product/birational-geometry-of-hypersurfaces-gargnano-del-garda-italy-2018/): Describes the most intriguing Hodge-theoretic aspects of cubic fourfolds Presents well-written surveys by leading experts on recent developments on rationality questions for hypersurfaces Provides a comprehensive and state-of-the-art introduction to the new and exciting subject of non-commutative K3 surfaces - [Bio-Mimetic Swimmers in Incompressible Fluids](https://online.neatra.in/product/bio-mimetic-swimmers-in-incompressible-fluids/): This monograph presents an original, concise mathematical theory for bio-mimetic swimmers in the framework of a coupled system of PDEs and ODEs. The authoritative research pioneered by the author serves as the basis for the method adopted here. - [Biological Models via Interval Type-2 Fuzzy Sets](https://online.neatra.in/product/biological-models-via-interval-type-2-fuzzy-sets/): This book offers a gentle introduction to type-2 fuzzy sets and, in particular, interval type-2 fuzzy sets and their application in biological modeling. Interval type-2 fuzzy modeling is a comparatively recent direction of research in fuzzy modeling. - [Billingsley Dimension in Probability Spaces](https://online.neatra.in/product/billingsley-dimension-in-probability-spaces/) - [Bilinear Regression Analysis: An Introduction](https://online.neatra.in/product/bilinear-regression-analysis-an-introduction/): This book expands on the classical statistical multivariate analysis theory by focusing on bilinear regression models, a class of models comprising the classical growth curve model and its extensions. In order to analyze the bilinear regression models in an interpretable way, concepts from linear models are extended and applied to tensor spaces. - [Big Queues](https://online.neatra.in/product/big-queues/): Includes supplementary material: sn.pub/extras - [Bifurcations of Planar Vector Fields: Proceedings of a Meeting held in Luminy, France, Sept. 18-22, 1989](https://online.neatra.in/product/bifurcations-of-planar-vector-fields-proceedings-of-a-meeting-held-in-luminy-france-sept-18-22-1989/) - [Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals](https://online.neatra.in/product/bifurcations-of-planar-vector-fields-nilpotent-singularities-and-abelian-integrals/): The book reports on recent work by the authors on the bifurcation structure of singular points of planar vector fields whose linear parts are nilpotent. The bifurcation diagrams of the most important codimension-three cases are studied in detail. - [Bifurcations in Hamiltonian Systems: Computing Singularities by Gröbner Bases](https://online.neatra.in/product/bifurcations-in-hamiltonian-systems-computing-singularities-by-grobner-bases/): Includes supplementary material: sn.pub/extras - [Bifurcation without Parameters](https://online.neatra.in/product/bifurcation-without-parameters/): This is the first systematic treatment of the topic Numerous figures augment the analytic treatment and assist in understanding The abstract theory is complemented by many applications - [Bifurcation Theory and Applications: Lectures Given at the 2nd 1983 Session of the Centro Internationale Mathematico Estivo (C.I.M.E.) Held at Montecatini, Italy, June 24-July 2, 1983](https://online.neatra.in/product/bifurcation-theory-and-applications-lectures-given-at-the-2nd-1983-session-of-the-centro-internationale-mathematico-estivo-c-i-m-e-held-at-montecatini-italy-june-24-july-2-1983/) - [Bifurcation of Extremals in Optimal Control](https://online.neatra.in/product/bifurcation-of-extremals-in-optimal-control/) - [Bicomplex Holomorphic Functions: The Algebra, Geometry and Analysis of Bicomplex Numbers](https://online.neatra.in/product/bicomplex-holomorphic-functions-the-algebra-geometry-and-analysis-of-bicomplex-numbers/): Presents a comprehensive study of the analysis and geometry of bicomplex numbers Offers a fundamental reference work for the field of bicomplex analysis Develops a solid foundation for potential new applications in relativity, dynamical systems and quantum mechanics - [Conference on Harmonic Analysis: College Park, Maryland, 1971](https://online.neatra.in/product/conference-on-harmonic-analysis-college-park-maryland-1971/) - [Conference on Group Theory: University of Wisconsin-Parkside 1972](https://online.neatra.in/product/conference-on-group-theory-university-of-wisconsin-parkside-1972/) - [Conference on Commutative Algebra: Lawrence, Kansas 1972](https://online.neatra.in/product/conference-on-commutative-algebra-lawrence-kansas-1972/) - [Conference on Applications of Numerical Analysis: Held in Dundee/Scotland, March 23 - 26, 1971](https://online.neatra.in/product/conference-on-applications-of-numerical-analysis-held-in-dundee-scotland-march-23-26-1971/) - [Conference in Mathematical Logic - London '70](https://online.neatra.in/product/conference-in-mathematical-logic-london-70/) - [Concentration of Maxima and Fundamental Limits in High-Dimensional Testing and Inference](https://online.neatra.in/product/concentration-of-maxima-and-fundamental-limits-in-high-dimensional-testing-and-inference/): Provides a unified exposition of fundamental problems in high-dimensional statistics Tackles canonical problems of detection and support estimation for sparse signals observed with noise Gives an application to statistical genetics - [Concentration Inequalities for Sums and Martingales](https://online.neatra.in/product/concentration-inequalities-for-sums-and-martingales/): The purpose of this book is to provide an overview of historical and recent results on concentration inequalities for sums of independent random variables and for martingales.The first chapter is devoted to classical asymptotic results in probability such as the strong law of large numbers and the central limit theorem. - [Concentration Inequalities and Model Selection: Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003](https://online.neatra.in/product/concentration-inequalities-and-model-selection-ecole-dete-de-probabilites-de-saint-flour-xxxiii-2003/): Includes supplementary material: sn.pub/extras - [Computing the Zeros of Analytic Functions](https://online.neatra.in/product/computing-the-zeros-of-analytic-functions/): Includes supplementary material: sn.pub/extras - [Computing Methods in Applied Sciences and Engineering, 1977. Third International Symposium, December 5-9, 1977, IRIA LABORIA, Institut de Recherche d`Informatique et d`Automatique: Part 1](https://online.neatra.in/product/computing-methods-in-applied-sciences-and-engineering-1977-third-international-symposium-december-5-9-1977-iria-laboria-institut-de-recherche-dinformatique-et-dautomatique-part-1/) - [Computers and Mathematical Models in Medicine: Medical Sessions of the First Conference on Mathematics at the Service of Man Barcelona, July 11–16, 1977](https://online.neatra.in/product/computers-and-mathematical-models-in-medicine-medical-sessions-of-the-first-conference-on-mathematics-at-the-service-of-man-barcelona-july-11a-16-1977/): The papers gathered in this volume were presented at the medical sessions of the First Conference on Mathematics at the Service of Man held in Barcelona, Spain, July 11-16, 1977. Papers presented at the medical sessions were more numerous than those pre­ sented in any other single area of specialization covered in the conference. - [Computer Algebra Methods for Equivariant Dynamical Systems](https://online.neatra.in/product/computer-algebra-methods-for-equivariant-dynamical-systems/): This book starts with an overview of the research of Gröbner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems. The next chapter describes algorithms in invariant theory including many examples and time tables. - [Computations in Higher Types](https://online.neatra.in/product/computations-in-higher-types/) - [Computations and Combinatorics in Commutative Algebra](https://online.neatra.in/product/computations-and-combinatorics-in-commutative-algebra/): Provides an up-to-date survey of three important topics at the intersection of combinatorics and commutative algebra Numerous examples and algorithms illustrate relevant computational aspects of the subject Gives a broad introduction to important topics aimed at researchers of all levels Includes supplementary material: sn.pub/extras - [Computational Synthetic Geometry](https://online.neatra.in/product/computational-synthetic-geometry/): Computational synthetic geometry deals with methods for realizing abstract geometric objects in concrete vector spaces. This research monograph considers a large class of problems from convexity and discrete geometry including constructing convex polytopes from simplicial complexes, vector geometries from incidence structures and hyperplane arrangements from oriented matroids. - [Computational Signal Processing with Wavelets](https://online.neatra.in/product/computational-signal-processing-with-wavelets/): This unique resource examines the conceptual, computational, and practical aspects of applied signal processing using wavelets. With this book, readers will understand and be able to use the power and utility of new wavelet methods in science and engineering problems and analysis. - [Computational Problems, Methods, and Results in Algebraic Number Theory](https://online.neatra.in/product/computational-problems-methods-and-results-in-algebraic-number-theory/) - [Computational Methods and Function Theory: Proceedings of a Conference held in Valparaiso, Chile, March 13-18, 1989](https://online.neatra.in/product/computational-methods-and-function-theory-proceedings-of-a-conference-held-in-valparaiso-chile-march-13-18-1989/): The volume is devoted to the interaction of modern scientific computation and classical function theory. Many problems in pure and more applied function theory can be tackled using modern computing facilities: numerically as well as in the sense of computer algebra. - [Computational Mechanics: International Conference on Computational Methods in Nonlinear Mechanics, Austin, Texas, 1974](https://online.neatra.in/product/computational-mechanics-international-conference-on-computational-methods-in-nonlinear-mechanics-austin-texas-1974/) - [Computational Electromagnetism: Cetraro, Italy 2014](https://online.neatra.in/product/computational-electromagnetism-cetraro-italy-2014/): Includes supplementary material: sn.pub/extras - [Computational Approach to Riemann Surfaces](https://online.neatra.in/product/computational-approach-to-riemann-surfaces/): Self-contained introduction to the theory of Riemann surfaces Detailed explanation of existing codes with examples Visualization of solutions to integrable partial differential equations and surfaces Includes supplementary material: sn.pub/extras - [Computation of Greeks Using the Discrete Malliavin Calculus and Binomial Tree](https://online.neatra.in/product/computation-of-greeks-using-the-discrete-malliavin-calculus-and-binomial-tree/): This book presents new computation schemes for the sensitivity of options using the binomial tree and introduces readers to the discrete Malliavin calculus. It also shows that applications of the discrete Malliavin calculus approach to the binomial tree model offer fundamental tools for computing Greeks. - [Computation and Approximation](https://online.neatra.in/product/computation-and-approximation/): Presents approximation properties of certain operators that have not yet been collected in book form Contains many new results together with proofs Covers recent developments in the study of exponential type operators - [Composite Asymptotic Expansions](https://online.neatra.in/product/composite-asymptotic-expansions/): Presents a comprehensive theory of infinite composite asymptotic expansions (CAsEs), an alternative to the method of matched asymptotic expansions Generalizes the classical theory of Gevrey asymptotic expansions to such CAsEs, thus establishing a new powerful tool for the study of turning points of singularly perturbed ODEs Using CAsEs, especially their versions of Gevrey type, to obtain new results for three classical problems in the theory of singularly perturbed ODEs Includes supplementary material: sn.pub/extras - [Complex Systems and Society: Modeling and Simulation](https://online.neatra.in/product/complex-systems-and-society-modeling-and-simulation/): Contents look ahead to a new approach to modelling and simulation of real-world systems? Introduces models of individual behaviours in the social and economic sciences Examines recently developed modelling approaches using stochastic game theory Includes supplementary material: sn.pub/extras - [Complex Surfaces and Connected Sums of Complex Projective Planes](https://online.neatra.in/product/complex-surfaces-and-connected-sums-of-complex-projective-planes/) - [Complex Semisimple Quantum Groups and Representation Theory](https://online.neatra.in/product/complex-semisimple-quantum-groups-and-representation-theory/): Provides a comprehensive, accessible and self-contained introduction to the theory of quantized universal enveloping algebras and their associated quantized semisimple Lie groups Presents complete proofs of many results that are otherwise scattered throughout the literature Offers a unified approach to both the algebraic and the analytic theory of quantum groups using coherent conventions and notations The first book to address the representation theory of general complex semisimple quantum groups - [Complex Non-Kähler Geometry](https://online.neatra.in/product/complex-non-kahler-geometry/): Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to introduce a vast range of techniques which are useful in the investigation of complex manifolds. - [Complex Monge–Ampère Equations and Geodesics in the Space of Kähler Metrics](https://online.neatra.in/product/complex-mongea-ampere-equations-and-geodesics-in-the-space-of-kahler-metrics/): The first self contained presentation of Krylov's stochastic analysis for the complex Monge-Ampere equation A comprehensive presentation of Yau's proof of the Calabi conjecture A great part of the material (both classical results and more recent 4. A pedagogical style, lectures accessible to non experts.developments) has not previously appeared in book form Written in pedagogicalcal style, lectures accessible to non experts Includes supplementary material: sn.pub/extras - [Complex Geometry and Analysis: Proceedings of the International Symposium in honour of Edoardo Vesentini, held in Pisa (Italy), May 23 - 27, 1988](https://online.neatra.in/product/complex-geometry-and-analysis-proceedings-of-the-international-symposium-in-honour-of-edoardo-vesentini-held-in-pisa-italy-may-23-27-1988/): The volume contains the texts of the main talks delivered at the International Symposium on Complex Geometry and Analysis held in Pisa, May 23-27, 1988. The Symposium was organized on the occasion of the sixtieth birthday of Edoardo Vesentini. - [Complex fluids: Modeling and Algorithms](https://online.neatra.in/product/complex-fluids-modeling-and-algorithms/): This book presents a comprehensive overview of the modeling of complex fluids, including many common substances, such as toothpaste, hair gel, mayonnaise, liquid foam, cement and blood, which cannot be described by Navier-Stokes equations. It also offers an up-to-date mathematical and numerical analysis of the corresponding equations, as well as several practical numerical algorithms and software solutions for the approximation of the solutions. - [Complex Analytic Geometry](https://online.neatra.in/product/complex-analytic-geometry/) - [Complex Analysis: Seminar, University Park PA, March 10-14, 1986](https://online.neatra.in/product/complex-analysis-seminar-university-park-pa-march-10-14-1986/): This conference gathered together a small group of people with similar interests in the geometric function theory of several complex variables. While the speeches were of a specialized nature, the papers in the proceedings are largely of a survey and speculative nature. - [Complex Analysis: Proceedings of the Summer School. Held at the International Centre for Theoretical Physics, Trieste, July 5 - 30, 1980](https://online.neatra.in/product/complex-analysis-proceedings-of-the-summer-school-held-at-the-international-centre-for-theoretical-physics-trieste-july-5-30-1980/) - [Complex Analysis. Kentucky 1976: Proceedings of the Conference Held at the University of Kentucky, May 18 - 22, 1976](https://online.neatra.in/product/complex-analysis-kentucky-1976-proceedings-of-the-conference-held-at-the-university-of-kentucky-may-18-22-1976/) - [Complex Analysis. Joensuu 1978: Proceedings of the Colloquium on Complex Analysis, Joensuu, Finland, August 24-27, 1978](https://online.neatra.in/product/complex-analysis-joensuu-1978-proceedings-of-the-colloquium-on-complex-analysis-joensuu-finland-august-24-27-1978/) - [Complex Analysis Joensuu 1987: Proceedings of the XIIIth Rolf Nevanlinna-Colloquium, Held in Joensuu, Finland, Aug. 10-13, 1987](https://online.neatra.in/product/complex-analysis-joensuu-1987-proceedings-of-the-xiiith-rolf-nevanlinna-colloquium-held-in-joensuu-finland-aug-10-13-1987/): The articles in this volume are for the most part research articles related mainly to the theory of quasiconformal and quasiregular mappings, Riemann surfaces and potential theory. They have resulted from talks delivered at the 13th Nevanlinna Colloquium, which was also a celebration of the 80th birthday of Lars V. Ahlfors: hence many articles in this volume reflect his mathematical interests. - [Complex Analysis III: Proceedings of the Special Year Held at the University of Maryland, College Park, 1985-86](https://online.neatra.in/product/complex-analysis-iii-proceedings-of-the-special-year-held-at-the-university-of-maryland-college-park-1985-86/) - [Complex Analysis II: Proceedings of the Special Year Held at the University of Maryland, College Park, 1985-86](https://online.neatra.in/product/complex-analysis-ii-proceedings-of-the-special-year-held-at-the-university-of-maryland-college-park-1985-86/) - [Complex Analysis I: Proceedings of the Special Year Held at the University of Maryland, College Park, 1985-86](https://online.neatra.in/product/complex-analysis-i-proceedings-of-the-special-year-held-at-the-university-of-maryland-college-park-1985-86/): The past several years have witnessed a striking number of important developments in Complex Analysis. One of the characteristics of these developments has been to bridge the gap existing between the theory of functions of one and of several complex variables. - [Complex Analysis and Spectral Theory: Seminar, Leningrad 1979/80](https://online.neatra.in/product/complex-analysis-and-spectral-theory-seminar-leningrad-1979-80/) - [Complex Analysis and Differential Equations](https://online.neatra.in/product/complex-analysis-and-differential-equations/): Emphasis is given to the applications of complex analysis to differential equations Provides a rigorous approach with the right balance between theory and practice Includes approximately 200 examples and 200 problems with detailed solutions Includes supplementary material: sn.pub/extras - [Complex Analysis and Algebraic Geometry: Proceedings of a Conference, Held in Göttingen, June 25 - July 2, 1985](https://online.neatra.in/product/complex-analysis-and-algebraic-geometry-proceedings-of-a-conference-held-in-gottingen-june-25-july-2-1985/) - [Complex Analysis - Fifth Romanian-Finnish Seminar. Proceedings of the Seminar Held in Bucharest, June 28 - July 3, 1981: Part 2](https://online.neatra.in/product/complex-analysis-fifth-romanian-finnish-seminar-proceedings-of-the-seminar-held-in-bucharest-june-28-july-3-1981-part-2/) - [Complex Analysis - Fifth Romanian-Finnish Seminar. Proceedings of the Seminar Held in Bucharest, June 28 - July 3, 1981: Part 1](https://online.neatra.in/product/complex-analysis-fifth-romanian-finnish-seminar-proceedings-of-the-seminar-held-in-bucharest-june-28-july-3-1981-part-1/) - [Complex Algebraic Varieties: Proceedings of a Conference held in Bayreuth, Germany, April 2-6, 1990](https://online.neatra.in/product/complex-algebraic-varieties-proceedings-of-a-conference-held-in-bayreuth-germany-april-2-6-1990/): The Bayreuth meeting on "Complex Algebraic Varieties" focussed on the classification of algebraic varieties and topics such as vector bundles, Hodge theory and hermitian differential geometry. Most of the articles in this volume are closely related to talks given at the conference: all are original, fully refereed research articles. - [Completions of Categories: Seminar Lectures Given 1966 in Zürich](https://online.neatra.in/product/completions-of-categories-seminar-lectures-given-1966-in-zurich/) - [Complete Intersections: Lectures Given at the 1st 1983 Session of the Centro Internationale Matematico Estivo (C.I.M.E.) Held at Acireale (Catania), Italy, June 13-21, 1983](https://online.neatra.in/product/complete-intersections-lectures-given-at-the-1st-1983-session-of-the-centro-internationale-matematico-estivo-c-i-m-e-held-at-acireale-catania-italy-june-13-21-1983/) - [Complementarity Problems](https://online.neatra.in/product/complementarity-problems/): The study of complementarity problems is now an interesting mathematical subject with many applications in optimization, game theory, stochastic optimal control, engineering, economics etc. This subject has deep relations with important domains of fundamental mathematics such as fixed point theory, ordered spaces, nonlinear analysis, topological degree, the study of variational inequalities and also with mathematical modeling and numerical analysis - [Compatible Finite Element Methods for Geophysical Flows](https://online.neatra.in/product/compatible-finite-element-methods-for-geophysical-flows/): This book introduces recently developed mixed finite element methods for large-scale geophysical flows that preserve essential numerical properties for accurate simulations. The methods are presented using standard models of atmospheric flows and are implemented using the Firedrake finite element library. - [Compactifying Moduli Spaces for Abelian Varieties](https://online.neatra.in/product/compactifying-moduli-spaces-for-abelian-varieties/): Includes supplementary material: sn.pub/extras - [Compact Systems of Sets](https://online.neatra.in/product/compact-systems-of-sets/) - [Compact Semitopological Semigroups: An Intrinsic Theory](https://online.neatra.in/product/compact-semitopological-semigroups-an-intrinsic-theory/) - [Compact Semitopological Semigroups and Weakly Almost Periodic Functions](https://online.neatra.in/product/compact-semitopological-semigroups-and-weakly-almost-periodic-functions/) - [Compact Right Topological Semigroups and Generalizations of Almost Periodicity](https://online.neatra.in/product/compact-right-topological-semigroups-and-generalizations-of-almost-periodicity/) - [Commuting Nonselfadjoint Operators in Hilbert Space: Two Independent Studies](https://online.neatra.in/product/commuting-nonselfadjoint-operators-in-hilbert-space-two-independent-studies/): Classification of commuting non-selfadjoint operators is one of the most challenging problems in operator theory even in the finite-dimensional case. The spectral analysis of dissipative operators has led to a series of deep results in the framework of unitary dilations and characteristic operator functions. - [Commutative Rings whose Finitely Generated Modules Decompose](https://online.neatra.in/product/commutative-rings-whose-finitely-generated-modules-decompose/) - [Commutative Group Schemes](https://online.neatra.in/product/commutative-group-schemes/): We restrict ourselves to two aspects of the field of group schemes, in which the results are fairly complete: commutative algebraic group schemes over an algebraically closed field (of characteristic different from zero), and a duality theory concern­ ing abelian schemes over a locally noetherian prescheme. The prelim­ inaries for these considerations are brought together in chapter I. SERRE described properties of the category of commutative quasi-algebraic groups by introducing pro-algebraic groups. In char8teristic zero the situation is clear. - [Commutative Formal Groups](https://online.neatra.in/product/commutative-formal-groups/) - [Commutative Coherent Rings](https://online.neatra.in/product/commutative-coherent-rings/): This book provides the first extensive and systematic treatment of the theory of commutative coherent rings. It blends, and provides a link, between the two sometimes disjoint approaches available in the literature, the ring theoretic approach, and the homological algebra approach. - [Commutative Algebra: Volume II](https://online.neatra.in/product/commutative-algebra-volume-ii/): This second volume of our treatise on commutative algebra deals largely with three basic topics, which go beyond the more or less classical material of volume I and are on the whole of a more advanced nature and a more recent vintage. - [Commutative Algebra: Proceedings of a Workshop held in Salvador, Brazil, Aug. 8-17, 1988](https://online.neatra.in/product/commutative-algebra-proceedings-of-a-workshop-held-in-salvador-brazil-aug-8-17-1988/): The central theme of this volume is commutative algebra, with emphasis on special graded algebras, which are increasingly of interest in problems of algebraic geometry, combinatorics and computer algebra. Most of the papers have partly survey character, but are research-oriented, aiming at classification and structural results. - [Commutative Algebra and its Interactions to Algebraic Geometry](https://online.neatra.in/product/commutative-algebra-and-its-interactions-to-algebraic-geometry/): This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry. Aimed at researchers and graduate students with an advanced background in algebra, these lectures were given during the Commutative Algebra program held at the Vietnam Institute of Advanced Study in Mathematics in the winter semester 2013 -2014. - [Combinatorics: Room Squares, Sum-Free Sets, Hadamard Matrices](https://online.neatra.in/product/combinatorics-room-squares-sum-free-sets-hadamard-matrices/) - [Combinatorics with Emphasis on the Theory of Graphs](https://online.neatra.in/product/combinatorics-with-emphasis-on-the-theory-of-graphs/): Combinatorics and graph theory have mushroomed in recent years. Many overlapping or equivalent results have been produced. Some of these are special cases of unformulated or unrecognized general theorems. - [Combinatorics and Graph Theory: Proceedings of the Symposium Held at the Indian Statistical Institute, Calcutta, February 25-29, 1980](https://online.neatra.in/product/combinatorics-and-graph-theory-proceedings-of-the-symposium-held-at-the-indian-statistical-institute-calcutta-february-25-29-1980/) - [Combinatorics and Finite Geometry](https://online.neatra.in/product/combinatorics-and-finite-geometry/): This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. - [Combinatorial Theory: Proceedings of a Conference Held at Schloss Rauischholzhausen, May 6-9, 1982](https://online.neatra.in/product/combinatorial-theory-proceedings-of-a-conference-held-at-schloss-rauischholzhausen-may-6-9-1982/) - [Combinatorial Theory Seminar Eindhoven University of Technology](https://online.neatra.in/product/combinatorial-theory-seminar-eindhoven-university-of-technology/) - [Combinatorial Stochastic Processes: Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002](https://online.neatra.in/product/combinatorial-stochastic-processes-ecole-dete-de-probabilites-de-saint-flour-xxxii-2002/): Three series of lectures were given at the 32nd Probability Summer School in Saint-Flour (July 7–24, 2002), by the Professors Pitman, Tsirelson and Werner. The courses of Professors Tsirelson(“Scalinglimit,noise,stability”)andWerner (“Random planar curves and Schramm-Loewner evolutions”) have been p- lished in a previous issue ofLectures Notes in Mathematics (volume 1840). - [Combinatorial Matrix Theory](https://online.neatra.in/product/combinatorial-matrix-theory/): Focuses on permutation, alternating sign and tournament matrices Includes an introduction to boundary value problems and related techniques on finite networks Discusses applications of the group inverse of the Laplacian matrix - [Combinatorial Mathematics: Proceedings of the International Conference on Combinatorial Theory, Canberra, August 16 - 27, 1977](https://online.neatra.in/product/combinatorial-mathematics-proceedings-of-the-international-conference-on-combinatorial-theory-canberra-august-16-27-1977/) - [Combinatorial Mathematics X: Proceedings of the Conference Held in Adelaide, Australia, August 23-27, 1982](https://online.neatra.in/product/combinatorial-mathematics-x-proceedings-of-the-conference-held-in-adelaide-australia-august-23-27-1982/) - [Combinatorial Mathematics VIII: Proceedings of the Eighth Australian Conference on Combinatorial Mathematics Held at Deakin University, Geelong, Australia, August 25-29, 1980](https://online.neatra.in/product/combinatorial-mathematics-viii-proceedings-of-the-eighth-australian-conference-on-combinatorial-mathematics-held-at-deakin-university-geelong-australia-august-25-29-1980/) - [Combinatorial Mathematics VII: Proceedings of the Seventh Australian Conference on Combinatorial Mathematics, Held at the University of Newcastle, Australia, August 20-24, 1979](https://online.neatra.in/product/combinatorial-mathematics-vii-proceedings-of-the-seventh-australian-conference-on-combinatorial-mathematics-held-at-the-university-of-newcastle-australia-august-20-24-1979/) - [Combinatorial Mathematics VI: Proceedings of the Sixth Australian Conference on Combinatorial Mathematics. Armidale, Australia, August 1978](https://online.neatra.in/product/combinatorial-mathematics-vi-proceedings-of-the-sixth-australian-conference-on-combinatorial-mathematics-armidale-australia-august-1978/) - [Combinatorial Mathematics V.: Proceedings of the Fifth Australian Conference, Held at the Royal Melbourne Institute of Technology, August 24 - 26, 1976.](https://online.neatra.in/product/combinatorial-mathematics-v-proceedings-of-the-fifth-australian-conference-held-at-the-royal-melbourne-institute-of-technology-august-24-26-1976/) - [Combinatorial Mathematics IX: Proceedings of the Ninth Australian Conference on Combinatorial Mathematics Held at the University of Queensland, Brisbane, Australia, August 24-28, 1981](https://online.neatra.in/product/combinatorial-mathematics-ix-proceedings-of-the-ninth-australian-conference-on-combinatorial-mathematics-held-at-the-university-of-queensland-brisbane-australia-august-24-28-1981/) - [Combinatorial Mathematics IV: Proceedings of the Fourth Australian Conference, Held at the University of Adelaide, 27-29 August, 1975](https://online.neatra.in/product/combinatorial-mathematics-iv-proceedings-of-the-fourth-australian-conference-held-at-the-university-of-adelaide-27-29-august-1975/) - [Combinatorial Mathematics III: Proceedings of the Third Australian Conference held at the University of Queensland 16-18 May, 1974](https://online.neatra.in/product/combinatorial-mathematics-iii-proceedings-of-the-third-australian-conference-held-at-the-university-of-queensland-16-18-may-1974/) - [Combinatorial Mathematics II: Proceedings of the Second Australian Conference](https://online.neatra.in/product/combinatorial-mathematics-ii-proceedings-of-the-second-australian-conference/) - [Combinatorial Algebraic Geometry: Levico Terme, Italy 2013, Editors: Sandra Di Rocco, Bernd Sturmfels](https://online.neatra.in/product/combinatorial-algebraic-geometry-levico-terme-italy-2013-editors-sandra-di-rocco-bernd-sturmfels/): Includes supplementary material: sn.pub/extras - [Combinatoire et Representation du Groupe Symetrique: Actes de la Table Ronde du C.N.R.S., tenue a l'Universite Louis Pasteur, Strasbourg, 26 au 30 avril 1976](https://online.neatra.in/product/combinatoire-et-representation-du-groupe-symetrique-actes-de-la-table-ronde-du-c-n-r-s-tenue-a-luniversite-louis-pasteur-strasbourg-26-au-30-avril-1976/) - [Combinatoire enumerative: Proceedings of the "Colloque de Combinatoire Enumerative", Held at Universite du Quebec a Montreal, May 28 - June 1, 1985](https://online.neatra.in/product/combinatoire-enumerative-proceedings-of-the-colloque-de-combinatoire-enumerative-held-at-universite-du-quebec-a-montreal-may-28-june-1-1985/) - [Combinations of Complex Dynamical Systems](https://online.neatra.in/product/combinations-of-complex-dynamical-systems/): This work is a research-level monograph whose goal is to develop a general combination, decomposition, and structure theory for branched coverings of the two-sphere to itself, regarded as the combinatorial and topological objects which arise in the classification of certain holomorphic dynamical systems on the Riemann sphere. - [Colloquium on Methods of Optimization: Held in Novosibirsk/USSR, June 1968](https://online.neatra.in/product/colloquium-on-methods-of-optimization-held-in-novosibirsk-ussr-june-1968/) - [Collocation Methods for Parabolic Equations in a Single Space Variable: (Based on C1-Piecewise-Polynomial Spaces)](https://online.neatra.in/product/collocation-methods-for-parabolic-equations-in-a-single-space-variable-based-on-c1-piecewise-polynomial-spaces/) - [Coincidence Degree and Nonlinear Differential Equations](https://online.neatra.in/product/coincidence-degree-and-nonlinear-differential-equations/) - [Cohomology of Arithmetic Groups and Automorphic Forms: Proceedings of a Conference held in Luminy/Marseille, France, May 22-27, 1989](https://online.neatra.in/product/cohomology-of-arithmetic-groups-and-automorphic-forms-proceedings-of-a-conference-held-in-luminy-marseille-france-may-22-27-1989/): Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces. These proceedings will serve as a guide to this still rapidly developing area of mathematics. - [Cohomological Topics in Group Theory](https://online.neatra.in/product/cohomological-topics-in-group-theory/) - [Cohomological Aspects in Complex Non-Kähler Geometry](https://online.neatra.in/product/cohomological-aspects-in-complex-non-kahler-geometry/): Provides detailed examples Explicit computations of cohomologies on complex manifolds Coherent summary of existing literature Includes supplementary material: sn.pub/extras - [Coherence in Categories](https://online.neatra.in/product/coherence-in-categories/) - [Coexistence and Persistence of Strange Attractors](https://online.neatra.in/product/coexistence-and-persistence-of-strange-attractors/) - [Coding Theory and Algebraic Geometry: Proceedings of the International Workshop held in Luminy, France, June 17-21, 1991](https://online.neatra.in/product/coding-theory-and-algebraic-geometry-proceedings-of-the-international-workshop-held-in-luminy-france-june-17-21-1991/): About ten years ago, V.D. Goppa found a surprising connection between the theory of algebraic curves over a finite field and error-correcting codes. The aim of the meeting "Algebraic Geometry and Coding Theory" was to give a survey on the present state of research in this field and related topics. - [Coding Theory](https://online.neatra.in/product/coding-theory/): These lecture notes are the contents of a two-term course given by me during the 1970-1971 academic year as Morgan Ward visiting professor at the California Institute of Technology. The students who took the course were mathematics seniors and graduate students. - [Coarse Geometry and Randomness: École d’Été de Probabilités de Saint-Flour XLI – 2011](https://online.neatra.in/product/coarse-geometry-and-randomness-ecole-daete-de-probabilites-de-saint-flour-xli-a-2011/): Includes many exercises of varying difficulty levels Investigates many open problems Presents topics not covered by any other book Includes supplementary material: sn.pub/extras - [Cloth Simulation for Computer Graphics](https://online.neatra.in/product/cloth-simulation-for-computer-graphics/): Physics-based animation is commonplace in animated feature films and even special effects for live-action movies. Think about a recent movie and there will be some sort of special effects such as explosions or virtual worlds. - [Closure Properties for Heavy-Tailed and Related Distributions: An Overview](https://online.neatra.in/product/closure-properties-for-heavy-tailed-and-related-distributions-an-overview/): This book provides a compact and systematic overview of closure properties of heavy-tailed and related distributions, including closure under tail equivalence, convolution, finite mixing, maximum, minimum, convolution power and convolution roots, and product-convolution closure. - [Clifford Wavelets, Singular Integrals, and Hardy Spaces](https://online.neatra.in/product/clifford-wavelets-singular-integrals-and-hardy-spaces/): The book discusses the extensions of basic Fourier Analysis techniques to the Clifford algebra framework. Topics covered: construction of Clifford-valued wavelets, Calderon-Zygmund theory for Clifford valued singular integral operators on Lipschitz hyper-surfaces, Hardy spaces of Clifford monogenic functions on Lipschitz domains. - [Classifying Immersions into R4 over Stable Maps of 3-Manifolds into R2](https://online.neatra.in/product/classifying-immersions-into-r4-over-stable-maps-of-3-manifolds-into-r2/) - [Differential Equations and Population Dynamics I](https://online.neatra.in/product/differential-equations-and-population-dynamics-i/): This book presents the basic theoretical concepts of dynamical systems with applications in population dynamics. - [Differential Equations and Mathematical Physics: Proceedings of an International Conference held in Birmingham, Alabama, USA, March 3-8, 1986](https://online.neatra.in/product/differential-equations-and-mathematical-physics-proceedings-of-an-international-conference-held-in-birmingham-alabama-usa-march-3-8-1986/): The meeting in Birmingham, Alabama, provided a forum for the discussion of recent developments in the theory of ordinary and partial differential equations, both linear and non-linear, with particular reference to work relating to the equations of mathematical physics. The meeting was attended by about 250 mathematicians from 22 countries. - [Differential Equations](https://online.neatra.in/product/differential-equations/): This textbook is a comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner. - [Differential Characters](https://online.neatra.in/product/differential-characters/): Providing a systematic introduction to differential characters as introduced by Cheeger and Simons, this text describes important concepts such as fiber integration, higher dimensional holonomy, transgression, and the product structure in a geometric manner. - [Differential Calculus in Topological Linear Spaces](https://online.neatra.in/product/differential-calculus-in-topological-linear-spaces/) - [Differential Calculus in Locally Convex Spaces](https://online.neatra.in/product/differential-calculus-in-locally-convex-spaces/) - [Differential Algebraic Groups of Finite Dimension](https://online.neatra.in/product/differential-algebraic-groups-of-finite-dimension/): Differential algebraic groups were introduced by P. Cassidy and E. Kolchin and are, roughly speaking, groups defined by algebraic differential equations in the same way as algebraic groups are groups defined by algebraic equations. The aim of the book is two-fold: 1) the provide an algebraic geometer's introduction to differential algebraic groups and 2) to provide a structure and classification theory for the finite dimensional ones. - [Differentiable Periodic Maps](https://online.neatra.in/product/differentiable-periodic-maps/) - [Differentiability of Six Operators on Nonsmooth Functions and p-Variation](https://online.neatra.in/product/differentiability-of-six-operators-on-nonsmooth-functions-and-p-variation/): Includes supplementary material: sn.pub/extras - [Difference Spaces and Invariant Linear Forms](https://online.neatra.in/product/difference-spaces-and-invariant-linear-forms/): Difference spaces arise by taking sums of finite or fractional differences. Linear forms which vanish identically on such a space are invariant in a corresponding sense. - [Difference Matrices for ODE and PDE: A MATLAB® Companion](https://online.neatra.in/product/difference-matrices-for-ode-and-pde-a-matlab-companion/): The use of difference matrices and high-level MATLAB® commands to implement finite difference algorithms is pedagogically novel. This unique and concise textbook gives the reader easy access and a general ability to use first and second difference matrices to set up and solve linear and nonlinear systems in MATLAB which approximate ordinary and partial differential equations. - [Diffeomorphisms of Elliptic 3-Manifolds](https://online.neatra.in/product/diffeomorphisms-of-elliptic-3-manifolds/): Includes supplementary material: sn.pub/extras - [Dichotomies in Stability Theory](https://online.neatra.in/product/dichotomies-in-stability-theory/) - [Dialgebras and Related Operads](https://online.neatra.in/product/dialgebras-and-related-operads/): Includes supplementary material: sn.pub/extras - [Deterministic and Stochastic Error Bounds in Numerical Analysis](https://online.neatra.in/product/deterministic-and-stochastic-error-bounds-in-numerical-analysis/): In these notes different deterministic and stochastic error bounds of numerical analysis are investigated. For many computational problems we have only partial information (such as n function values) and consequently they can only be solved with uncertainty in the answer. - [Determinantal Rings](https://online.neatra.in/product/determinantal-rings/): Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. - [Desingularization: Invariants and Strategy: Application to Dimension 2](https://online.neatra.in/product/desingularization-invariants-and-strategy-application-to-dimension-2/): Provides a complete proof of desingularization of surfaces, and several other well-known results not previously published in the literature Briefly summarizes the history of the topic, with numerous readable references Written in an accessible style, ideal for non-specialists Features numerous useful computations, serving as a source of inspiration for experts exploring bigger dimensions - [Desingularization Strategies of Three-Dimensional Vector Fields](https://online.neatra.in/product/desingularization-strategies-of-three-dimensional-vector-fields/) - [Design of Visualizations for Human-Information Interaction: A Pattern-Based Framework](https://online.neatra.in/product/design-of-visualizations-for-human-information-interaction-a-pattern-based-framework/): Interest in visualization design has increased in recent years. While there is a large body of existing work from which visualization designers can draw, much of the past research has focused on developing new tools and techniques that are aimed at specific contexts. - [Derived Functors in Functional Analysis](https://online.neatra.in/product/derived-functors-in-functional-analysis/): Includes supplementary material: sn.pub/extras - [Derived Equivalences for Group Rings](https://online.neatra.in/product/derived-equivalences-for-group-rings/): A self-contained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is discussed, giving a structural explanation for relations between the p-modular character table of a finite group and that of its "p-local structure". - [Derivative-free DIRECT-type Global Optimization: Applications and Software](https://online.neatra.in/product/derivative-free-direct-type-global-optimization-applications-and-software/): After providing an in-depth introduction to derivative-free global optimization with various constraints, this book presents new original results from well-known experts on the subject. A primary focus of this book is the well-known class of deterministic DIRECT (DIviding RECTangle)-type algorithms. - [Derivative Pricing in Discrete Time](https://online.neatra.in/product/derivative-pricing-in-discrete-time/): Provides a complete and rigorous treatment of no-arbitrage pricing for both European and American derivatives in complete and incomplete discrete markets Requires only elementary linear algebra and probability theory, hence accessible to students of quantitative subjects (such as economics or physics) as well as students of mathematics Provides a foundation for understanding the more advanced theory of continuous-time models Contains copious fully worked out examples and numerous class-tested exercises (many with solutions) Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material - [Derivations, Dissipations and Group Actions on C*-algebras](https://online.neatra.in/product/derivations-dissipations-and-group-actions-on-c-algebras/) - [Delay Differential Equations and Dynamical Systems: Proceedings of a Conference in honor of Kenneth Cooke held in Claremont, California, Jan. 13-16, 1990](https://online.neatra.in/product/delay-differential-equations-and-dynamical-systems-proceedings-of-a-conference-in-honor-of-kenneth-cooke-held-in-claremont-california-jan-13-16-1990/): The meeting explored current directions of research in delay differential equations and related dynamical systems and celebrated the contributions of Kenneth Cooke to this field on the occasion of his 65th birthday. The volume contains three survey papers reviewing three areas of current research and seventeen research contributions. - [Delay and Uncertainty in Human Balancing Tasks](https://online.neatra.in/product/delay-and-uncertainty-in-human-balancing-tasks/): This book demonstrates how delay differential equations (DDEs) can be used to compliment the laboratory investigation of human balancing tasks. This approach is made accessible to non-specialists by comparing mathematical predictions and experimental observations. - [Degrees of Unsolvability: Structure and Theory](https://online.neatra.in/product/degrees-of-unsolvability-structure-and-theory/) - [Degenerate Nonlinear Diffusion Equations](https://online.neatra.in/product/degenerate-nonlinear-diffusion-equations/): Includes supplementary material: sn.pub/extras - [Deformations of Singularities](https://online.neatra.in/product/deformations-of-singularities/): Includes supplementary material: sn.pub/extras - [Deep Learning in Multi-step Prediction of Chaotic Dynamics: From Deterministic Models to Real-World Systems](https://online.neatra.in/product/deep-learning-in-multi-step-prediction-of-chaotic-dynamics-from-deterministic-models-to-real-world-systems/): The book represents the first attempt to systematically deal with the use of deep neural networks to forecast chaotic time series. Differently from most of the current literature, it implements a multi-step approach, i.e., the forecast of an entire interval of future values. - [Deep Learning for Fluid Simulation and Animation: Fundamentals, Modeling, and Case Studies](https://online.neatra.in/product/deep-learning-for-fluid-simulation-and-animation-fundamentals-modeling-and-case-studies/): This book is an introduction to the use of machine learning and data-driven approaches in fluid simulation and animation, as an alternative to traditional modeling techniques based on partial differential equations and numerical methods – and at a lower computational cost. - [Decomposition of Jacobians by Prym Varieties](https://online.neatra.in/product/decomposition-of-jacobians-by-prym-varieties/): This monograph studies decompositions of the Jacobian of a smooth projective curve, induced by the action of a finite group, into a product of abelian subvarieties. - [Decidable Theories: Vol. 2: The Monadic Second Order Theory of All Countable Ordinals](https://online.neatra.in/product/decidable-theories-vol-2-the-monadic-second-order-theory-of-all-countable-ordinals/) - [Decidable Theories: Vol. 1: Büchi`s Monadic Second Order Successor Arithmetic](https://online.neatra.in/product/decidable-theories-vol-1-buchis-monadic-second-order-successor-arithmetic/) - [Data-driven Modelling of Structured Populations](https://online.neatra.in/product/data-driven-modelling-of-structured-populations/): This book is a “How To” guide for modeling population dynamics using Integral Projection Models (IPM) starting from observational data. It is written by a leading research team in this area and includes code in the R language (in the text and online) to carry out all computations. - [Data through Movement](https://online.neatra.in/product/data-through-movement/): When you picture human-data interactions (HDI), what comes to mind? The datafication of modern life, along with open data initiatives advocating for transparency and access to current and historical datasets, has fundamentally transformed when, where, and how people encounter data. People now rely on data to make decisions, understand current events, and interpret the world. - [Damped Oscillations of Linear Systems: A Mathematical Introduction](https://online.neatra.in/product/damped-oscillations-of-linear-systems-a-mathematical-introduction/): No recent texts on this topic Multidisciplinarity Self-containedness Includes supplementary material: sn.pub/extras - [Cylindric Set Algebras](https://online.neatra.in/product/cylindric-set-algebras/) - [Cyclotomic Fields](https://online.neatra.in/product/cyclotomic-fields/): Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. However, the success of this general theory has tended to obscure special facts proved by Kummer about cyclotomic fields which lie deeper than the general theory. - [Cyclic Renormalization and Automorphism Groups of Rooted Trees](https://online.neatra.in/product/cyclic-renormalization-and-automorphism-groups-of-rooted-trees/): The theme of the monograph is an interplay between dynamical systems and group theory. The authors formalize and study "cyclic renormalization", a phenomenon which appears naturally for some interval dynamical systems. - [Cyclic Neofields and Combinatorial Designs](https://online.neatra.in/product/cyclic-neofields-and-combinatorial-designs/) - [Cyclic Galois Extensions of Commutative Rings](https://online.neatra.in/product/cyclic-galois-extensions-of-commutative-rings/): The structure theory of abelian extensions of commutative rings is a subjectwhere commutative algebra and algebraic number theory overlap. This exposition is aimed at readers with some background in either of these two fields. - [Cyclic Difference Sets](https://online.neatra.in/product/cyclic-difference-sets/) - [Cyclic Coverings, Calabi-Yau Manifolds and Complex Multiplication](https://online.neatra.in/product/cyclic-coverings-calabi-yau-manifolds-and-complex-multiplication/): Includes supplementary material: sn.pub/extras - [Curvature and Topology of Riemannian Manifolds: Proceedings of the 17th International Taniguchi Symposium held in Katata, Japan, August 26-31, 1985](https://online.neatra.in/product/curvature-and-topology-of-riemannian-manifolds-proceedings-of-the-17th-international-taniguchi-symposium-held-in-katata-japan-august-26-31-1985/) - [Curvature and Characteristic Classes](https://online.neatra.in/product/curvature-and-characteristic-classes/) - [Current Challenges in Stability Issues for Numerical Differential Equations: Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi](https://online.neatra.in/product/current-challenges-in-stability-issues-for-numerical-differential-equations-cetraro-italy-2011-editors-luca-dieci-nicola-guglielmi/): Accessible presentation on cutting edge techniques World leaders on their respective topics Ample and exhaustive references Didactic exposition on arguments not represented in textbooks Includes supplementary material: sn.pub/extras - [Cubic Metaplectic Forms and Theta Functions](https://online.neatra.in/product/cubic-metaplectic-forms-and-theta-functions/): The book is an introduction to the theory of cubic metaplectic forms on the 3-dimensional hyperbolic space and the author's research on cubic metaplectic forms on special linear and symplectic groups of rank 2. The topics include: Kubota and Bass-Milnor-Serre homomorphisms, cubic metaplectic Eisenstein series, cubic theta functions, Whittaker functions. - [Cryptography with Shrinking Generators: Fundamentals and Applications of Keystream Sequence Generators Based on Irregular Decimation](https://online.neatra.in/product/cryptography-with-shrinking-generators-fundamentals-and-applications-of-keystream-sequence-generators-based-on-irregular-decimation/): Offers a rare, unified source of information on shrinking generators Illustrates the theoretical aspects of this family of generators with a myriad of applications Presents open problems that might motivate further research on cryptology Includes supplementary material: sn.pub/extras - [Cryptography for Secure Encryption](https://online.neatra.in/product/cryptography-for-secure-encryption/): This text is intended for a one-semester course in cryptography at the advanced undergraduate/Master's degree level. It is suitable for students from various STEM backgrounds, including engineering, mathematics, and computer science, and may also be attractive for researchers and professionals who want to learn the basics of cryptography. - [Cryptography](https://online.neatra.in/product/cryptography/): Outlines cryptography from its earliest roots to its modern use in daily transactions Contains numerous problems to practice techniques Examines classical ciphers, modern public key cryptosystems, and specialized topics - [Crowd Dynamics by Kinetic Theory Modeling: Complexity, Modeling, Simulations, and Safety](https://online.neatra.in/product/crowd-dynamics-by-kinetic-theory-modeling-complexity-modeling-simulations-and-safety/): The contents of this brief Lecture Note are devoted to modeling, simulations, and applications with the aim of proposing a unified multiscale approach accounting for the physics and the psychology of people in crowds. - [Crossed Products of C*-Algebras, Topological Dynamics, and Classification](https://online.neatra.in/product/crossed-products-of-c-algebras-topological-dynamics-and-classification/): This book collects the notes of the lectures given at an Advanced Course on Dynamical Systems at the Centre de Recerca Matemàtica (CRM) in Barcelona. The notes consist of four series of lectures.The first one, given by Andrew Toms, presents the basic properties of the Cuntz semigroup and its role in the classification program of simple, nuclear, separable C*-algebras. - [Critical Point Theory and Submanifold Geometry](https://online.neatra.in/product/critical-point-theory-and-submanifold-geometry/) - [Creating Autonomous Vehicle Systems, Second Edition](https://online.neatra.in/product/creating-autonomous-vehicle-systems-second-edition/): This book is one of the first technical overviews of autonomous vehicles written for a general computing and engineering audience. The authors share their practical experiences designing autonomous vehicle systems. - [Counting Lattice Paths Using Fourier Methods](https://online.neatra.in/product/counting-lattice-paths-using-fourier-methods/): Introduces a unique technique to count lattice paths by using the discrete Fourier transform Explores the interconnection between combinatorics and Fourier methods Motivates students to move from one-dimensional problems to higher dimensions Presents numerous exercises with selected solutions appearing at the end - [Counterexamples in Topological Vector Spaces](https://online.neatra.in/product/counterexamples-in-topological-vector-spaces/) - [Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces: Topics from Differential Geometry and Geometric Analysis of Surfaces](https://online.neatra.in/product/coulomb-frames-in-the-normal-bundle-of-surfaces-in-euclidean-spaces-topics-from-differential-geometry-and-geometric-analysis-of-surfaces/): Includes supplementary material: sn.pub/extras - [Correlated Random Systems: Five Different Methods: CIRM Jean-MorletChair, Spring 2013](https://online.neatra.in/product/correlated-random-systems-five-different-methods-cirm-jean-morletchair-spring-2013/): First book in the CIRM Jean-Morlet Chair subseries Touches upon a huge number of hot topics in probability The methods presented have become indispensable working tools for researchers in probability theory and mathematical physics The lectures are written in an informal style, focusing on the essentials rather than technicalities - [Coordinate Systems for Games: Simplifying the "me" and "we" Interactions](https://online.neatra.in/product/coordinate-systems-for-games-simplifying-the-me-and-we-interactions/): Develops a method of creating convenient coordinate systems for game theory that will allow readers to simplify the structure of complex games Paves the way for future research in game theory, and its various applications Uses an approachable voice to appeal to readers from a variety of academic backgrounds with any level of experience - [Convolution-like Structures, Differential Operators and Diffusion Processes](https://online.neatra.in/product/convolution-like-structures-differential-operators-and-diffusion-processes/): T?his book provides an introduction to recent developments in the theory of generalized harmonic analysis and its applications. It is well known that convolutions, differential operators and diffusion processes are interconnected: the ordinary convolution commutes with the Laplacian, and the law of Brownian motion has a convolution semigroup property with respect to the ordinary convolution. - [Convex Variational Problems: Linear, nearly Linear and Anisotropic Growth Conditions](https://online.neatra.in/product/convex-variational-problems-linear-nearly-linear-and-anisotropic-growth-conditions/): Includes supplementary material: sn.pub/extras - [Convex Optimization in Normed Spaces](https://online.neatra.in/product/convex-optimization-in-normed-spaces/): This work is intended to serve as a guide for graduate students and researchers who wish to get acquainted with the main theoretical and practical tools for the numerical minimization of convex functions on Hilbert spaces. Therefore, it contains the main tools that are necessary to conduct independent research on the topic. - [Convex Integration Applied to the Multi-Dimensional Compressible Euler Equations](https://online.neatra.in/product/convex-integration-applied-to-the-multi-dimensional-compressible-euler-equations/): Provides a genuinely compressible convex integration approach Surveys most results achieved by convex integration Explains the essentials of hyperbolic conservation laws - [Convex Geometry: Cetraro, Italy 2021](https://online.neatra.in/product/convex-geometry-cetraro-italy-2021/): Introductory book in Convex Geometry Accessible to non expert in the field Contains an overview on the various branches of the modern Brunn-Minkowski theory of convex bodies - [Convex Functions, Monotone Operators and Differentiability](https://online.neatra.in/product/convex-functions-monotone-operators-and-differentiability/) - [Convex Duality and Financial Mathematics](https://online.neatra.in/product/convex-duality-and-financial-mathematics/): Emphasizes a heuristic understanding of convex duality in financial mathematics Introduces arbitrage pricing, utility maximization, and risk measures via convex duality Provides real-world financial applications - [Convex Cones](https://online.neatra.in/product/convex-cones/): This book provides the foundations for geometric applications of convex cones and presents selected examples from a wide range of topics, including polytope theory, stochastic geometry, and Brunn–Minkowski theory. - [Convex and Stochastic Optimization](https://online.neatra.in/product/convex-and-stochastic-optimization/): This textbook provides an introduction to convex duality for optimization problems in Banach spaces, integration theory, and their application to stochastic programming problems in a static or dynamic setting. It introduces and analyses the main algorithms for stochastic programs, while the theoretical aspects are carefully dealt with. - [Convex Analysis and Measurable Multifunctions](https://online.neatra.in/product/convex-analysis-and-measurable-multifunctions/) - [Controlled Simple Homotopy Theory and Applications](https://online.neatra.in/product/controlled-simple-homotopy-theory-and-applications/) - [Controllability of Partial Differential Equations Governed by Multiplicative Controls](https://online.neatra.in/product/controllability-of-partial-differential-equations-governed-by-multiplicative-controls/): Physically motivated, mathematically challenging and timely Relatively few results are available in the field The results described in this book are certainly novel and original - [Control of Partial Differential Equations: Cetraro, Italy 2010, Editors: Piermarco Cannarsa, Jean-Michel Coron](https://online.neatra.in/product/control-of-partial-differential-equations-cetraro-italy-2010-editors-piermarco-cannarsa-jean-michel-coron/): Self-contained: the book can be used by researchers in partial differential equations who want to learn about the control of such equations without requiring a special background in control theory. Covers the main recent progress in control of partial differential equations. Includes numerous challenging open problems Includes supplementary material: sn.pub/extras - [Contributions to Ergodic Theory and Probability: Proceedings of the First Midwestern Conference on Ergodic Theory held at the Ohio State University, March 27-30, 1970](https://online.neatra.in/product/contributions-to-ergodic-theory-and-probability-proceedings-of-the-first-midwestern-conference-on-ergodic-theory-held-at-the-ohio-state-university-march-27-30-1970/) - [Continuum Modeling: An Approach Through Practical Examples](https://online.neatra.in/product/continuum-modeling-an-approach-through-practical-examples/): This book develops continuum modeling skills and approaches the topic from three sides: (1) derivation of global integral laws together with the associated local differential equations, (2) design of constitutive laws and (3) modeling boundary processes. - [Continuous Strong Markov Processes in Dimension One: A Stochastic Calculus Approach](https://online.neatra.in/product/continuous-strong-markov-processes-in-dimension-one-a-stochastic-calculus-approach/): The book presents an in-depth study of arbitrary one-dimensional continuous strong Markov processes using methods of stochastic calculus. Departing from the classical approaches, a unified investigation of regular as well as arbitrary non-regular diffusions is provided. - [Continuous Lattices: Proceedings of the Conference on Topological and Categorical Aspects of Continuous Lattices (Workshop IV) Held at the University of Bremen, Germany, November 9-11, 1979](https://online.neatra.in/product/continuous-lattices-proceedings-of-the-conference-on-topological-and-categorical-aspects-of-continuous-lattices-workshop-iv-held-at-the-university-of-bremen-germany-november-9-11-1979/) - [Continuous Exponential Martingales and BMO](https://online.neatra.in/product/continuous-exponential-martingales-and-bmo/): In three chapters on Exponential Martingales, BMO-martingales, and Exponential of BMO, this book explains in detail the beautiful properties of continuous exponential martingales that play an essential role in various questions concerning the absolute continuity of probability laws of stochastic processes. The second and principal aim is to provide a full report on the exciting results on BMO in the theory of exponential martingales - [Continuous Distributions in Engineering and the Applied Sciences -- Part I](https://online.neatra.in/product/continuous-distributions-in-engineering-and-the-applied-sciences-part-i/): This is an introductory book on continuous statistical distributions and its applications. It is primarily written for graduate students in engineering, undergraduate students in statistics, econometrics, and researchers in various fields. - [Continuous Convergence on C(X)](https://online.neatra.in/product/continuous-convergence-on-cx/) - [Continuous Bounded Cohomology of Locally Compact Groups](https://online.neatra.in/product/continuous-bounded-cohomology-of-locally-compact-groups/): Includes supplementary material: sn.pub/extras - [Continuous and Discrete Dynamics near Manifolds of Equilibria](https://online.neatra.in/product/continuous-and-discrete-dynamics-near-manifolds-of-equilibria/) - [Contact Manifolds in Riemannian Geometry](https://online.neatra.in/product/contact-manifolds-in-riemannian-geometry/) - [Constructive Theory of Functions of Several Variables: Proceedings of a Conference Held at Oberwolfach, April 25 - May 1, 1976](https://online.neatra.in/product/constructive-theory-of-functions-of-several-variables-proceedings-of-a-conference-held-at-oberwolfach-april-25-may-1-1976/) - [Constructive Methods for Elliptic Equations](https://online.neatra.in/product/constructive-methods-for-elliptic-equations/) - [Constructive Mathematics: Proceedings of the New Mexico State University Conference Held at Las Cruces, New Mexico, August 11-15, 1980](https://online.neatra.in/product/constructive-mathematics-proceedings-of-the-new-mexico-state-university-conference-held-at-las-cruces-new-mexico-august-11-15-1980/) - [Constructive Commutative Algebra: Projective Modules Over Polynomial Rings and Dynamical Gröbner Bases](https://online.neatra.in/product/constructive-commutative-algebra-projective-modules-over-polynomial-rings-and-dynamical-grobner-bases/): Presents a new point of view concerning problems in Commutative Algebra and Algebraic Geometry All the proofs are constructive (algorithms) and simple The reader can easily implement the presented algorithms in his preferred Computer Algebra System - [Constructive and Computational Methods for Differential and Integral Equations: Symposium, Indiana University, February 17-20, 1974](https://online.neatra.in/product/constructive-and-computational-methods-for-differential-and-integral-equations-symposium-indiana-university-february-17-20-1974/) - [Constructions of Lie Algebras and their Modules](https://online.neatra.in/product/constructions-of-lie-algebras-and-their-modules/): This book deals with central simple Lie algebras over arbitrary fields of characteristic zero. It aims to give constructions of the algebras and their finite-dimensional modules in terms that are rational with respect to the given ground field. - [Construction of Global Lyapunov Functions Using Radial Basis Functions](https://online.neatra.in/product/construction-of-global-lyapunov-functions-using-radial-basis-functions/): Includes supplementary material: sn.pub/extras - [Consistency Problems for Heath-Jarrow-Morton Interest Rate Models](https://online.neatra.in/product/consistency-problems-for-heath-jarrow-morton-interest-rate-models/): Includes supplementary material: sn.pub/extras - [Conjugacy Classes in Algebraic Groups](https://online.neatra.in/product/conjugacy-classes-in-algebraic-groups/) - [Conical Refraction and Higher Microlocalization](https://online.neatra.in/product/conical-refraction-and-higher-microlocalization/): The main topic of the book is higher analytic microlocalization and its application to problems of propagation of singularities. The part on higher microlocalization could serve as an introduction to the subject. - [Conformal Symmetry Breaking Operators for Differential Forms on Spheres](https://online.neatra.in/product/conformal-symmetry-breaking-operators-for-differential-forms-on-spheres/): Introduces a cutting-edge method for effective construction of symmetry breaking operators for branching rules in representation theory Includes hot topics of conformal geometry and global analysis as applications of representation theory Provides the complete classification of all conformally equivariant differential operators on forms on the model space (Sn, Sn-1) - [Conformal Geometry of Surfaces in S4 and Quaternions](https://online.neatra.in/product/conformal-geometry-of-surfaces-in-s4-and-quaternions/): Includes supplementary material: sn.pub/extras - [Conformal Geometry and Quasiregular Mappings](https://online.neatra.in/product/conformal-geometry-and-quasiregular-mappings/): This book is an introduction to the theory of spatial quasiregular mappings intended for the uninitiated reader. At the same time the book also addresses specialists in classical analysis and, in particular, geometric function theory. - [Configuration Spaces over Hilbert Schemes and Applications](https://online.neatra.in/product/configuration-spaces-over-hilbert-schemes-and-applications/): The main themes of this book are to establish the triple formula without any hypotheses on the genericity of the morphism, and to develop a theory of complete quadruple points, which is a first step towards proving the quadruple point formula under less restrictive hypotheses. This book should be of interest to graduate students and researchers in the field of algebraic geometry. - [Conference on the Theory of Ordinary and Partial Differential Equations: Held in Dundee/Scotland, March 28 - 31, 1972](https://online.neatra.in/product/conference-on-the-theory-of-ordinary-and-partial-differential-equations-held-in-dundee-scotland-march-28-31-1972/) - [Conference on the Numerical Solution of Differential Equations: Held in Dundee/Scotland, June 23-27, 1969](https://online.neatra.in/product/conference-on-the-numerical-solution-of-differential-equations-held-in-dundee-scotland-june-23-27-1969/) - [Conference on the Numerical Solution of Differential Equations: Dundee 1973](https://online.neatra.in/product/conference-on-the-numerical-solution-of-differential-equations-dundee-1973/) - [Effective Statistical Learning Methods for Actuaries III: Neural Networks and Extensions](https://online.neatra.in/product/effective-statistical-learning-methods-for-actuaries-iii-neural-networks-and-extensions/): Provides an exhaustive and self-contained presentation of neural networks applied to insurance Can be used as course material or for self-study Features a rigorous statistical analysis of neural networks Fills a gap in the literature on artificial intelligence techniques applied to insurance Written by actuaries for actuaries Based on more than a decade of lectures and consulting projects on the topic, by the three authors Includes several case studies in P&C, Life and Econometrics - [Effective Statistical Learning Methods for Actuaries II](https://online.neatra.in/product/effective-statistical-learning-methods-for-actuaries-ii/): This book summarizes the state of the art in tree-based methods for insurance: regression trees, random forests and boosting methods. It also exhibits the tools which make it possible to assess the predictive performance of tree-based models. - [Effective Statistical Learning Methods for Actuaries I: GLMs and Extensions](https://online.neatra.in/product/effective-statistical-learning-methods-for-actuaries-i-glms-and-extensions/): Features numerous examples and case studies in P&C, Life and Health insurance Provides a broad and self-contained presentation of insurance data analytics techniques, from classical GLMs to neural networks Addresses many specific issues which arise in insurance data analysis Can be used as course material, for CPD programs or for self-study Complements the existing literature on GLMs in insurance Written by actuaries for actuaries Based on more than a decade of lectures and consulting projects on the topic, by the three authors - [Effective Kan Fibrations in Simplicial Sets](https://online.neatra.in/product/effective-kan-fibrations-in-simplicial-sets/): This book introduces the notion of an effective Kan fibration, a new mathematical structure which can be used to study simplicial homotopy theory. The main motivation is to make simplicial homotopy theory suitable for homotopy type theory. - [Ecole d'Ete de Probabilites de Saint-Flour XXI - 1991](https://online.neatra.in/product/ecole-dete-de-probabilites-de-saint-flour-xxi-1991/) - [Ecole d'Ete de Probabilites de Saint-Flour XX - 1990](https://online.neatra.in/product/ecole-dete-de-probabilites-de-saint-flour-xx-1990/) - [Ecole d'Ete de Probabilites de Saint-Flour XV-XVII, 1985-87](https://online.neatra.in/product/ecole-dete-de-probabilites-de-saint-flour-xv-xvii-1985-87/): This volume contains detailed, worked-out notes of six main courses given at the Saint-Flour Summer Schools from 1985 to 1987. - [Ecole d'Ete de Probabilites de Saint-Flour XVIII - 1988](https://online.neatra.in/product/ecole-dete-de-probabilites-de-saint-flour-xviii-1988/): This book contains three lectures each of 10 sessions| the first on Potential Theory on graphs and manifolds, the second on annealing and another algorithms for image reconstruction, the third on Malliavin Calculus. - [Ecole d'Ete de Probabilites de Saint-Flour XIX - 1989](https://online.neatra.in/product/ecole-dete-de-probabilites-de-saint-flour-xix-1989/) - [Ecole d'Ete de Probabilites de Saint-Flour XIII, 1983](https://online.neatra.in/product/ecole-dete-de-probabilites-de-saint-flour-xiii-1983/) - [Ecole d'Ete de Probabilites de Saint-Flour XII, 1982](https://online.neatra.in/product/ecole-dete-de-probabilites-de-saint-flour-xii-1982/) - [Ecole d'Ete de Probabilites de Saint-Flour XI, 1981](https://online.neatra.in/product/ecole-dete-de-probabilites-de-saint-flour-xi-1981/) - [Ecole d'Ete de Probabilites de Saint-Flour X, 1980](https://online.neatra.in/product/ecole-dete-de-probabilites-de-saint-flour-x-1980/) - [Ecole d'Ete de Probabilites de Saint-Flour VI, 1976](https://online.neatra.in/product/ecole-dete-de-probabilites-de-saint-flour-vi-1976/) - [Ecole d'Ete de Probabilites de Saint-Flour V, 1975](https://online.neatra.in/product/ecole-dete-de-probabilites-de-saint-flour-v-1975/) - [Ecole d'Ete de Probabilites de Saint Flour XIV, 1984](https://online.neatra.in/product/ecole-dete-de-probabilites-de-saint-flour-xiv-1984/) - [E "Infinite" Ring Spaces and E "Infinite" Ring Spectra](https://online.neatra.in/product/e-infinite-ring-spaces-and-e-infinite-ring-spectra/) - [Dynkin Graphs and Quadrilateral Singularities](https://online.neatra.in/product/dynkin-graphs-and-quadrilateral-singularities/): The study of hypersurface quadrilateral singularities can be reduced to the study of elliptic K3 surfaces with a singular fiber of type I * 0 (superscript *, subscript 0), and therefore these notes consider, besides the topics of the title, such K3 surfaces too. The combinations of rational double points that can occur on fibers in the semi-universal deformations of quadrilateral singularities are examined, to show that the possible combinations can be described by a certain law from the viewpoint of Dynkin graphs. - [Dynamics of Quasi-Stable Dissipative Systems](https://online.neatra.in/product/dynamics-of-quasi-stable-dissipative-systems/): This book is devoted to background material and recently developed mathematical methods in the study of infinite-dimensional dissipative systems. The theory of such systems is motivated by the long-term goal to establish rigorous mathematical models for turbulent and chaotic phenomena. - [Dynamics in One Dimension](https://online.neatra.in/product/dynamics-in-one-dimension/): The behaviour under iteration of unimodal maps of an interval, such as the logistic map, has recently attracted considerable attention. It is not so widely known that a substantial theory has by now been built up for arbitrary continuous maps of an interval. - [Dynamics and Analysis of Alignment Models of Collective Behavior](https://online.neatra.in/product/dynamics-and-analysis-of-alignment-models-of-collective-behavior/): This book introduces a class of alignment models based on the so-called Cucker-Smale system as well as its kinetic and hydrodynamic counterparts. Cutting edge research in the area of collective behavior is presented, including emerging techniques from fluid mechanics, fractional analysis, and kinetic theory. - [Dynamical Systems: Valparaiso. Proceedings of a Symposium Held in Valparaiso, Chile, Nov. 24-29, 1986](https://online.neatra.in/product/dynamical-systems-valparaiso-proceedings-of-a-symposium-held-in-valparaiso-chile-nov-24-29-1986/): This volume contains original research papers on topics central to Dynamical Systems, such as fractional dimensions (Hausdorff dimension, limity capacity) and limit cycles of polynomial vector fields concerning the well-known Dulac and Hilbert's 16th problems. Stability and bifurcations, intermittency, normal forms, Anosov flows and foliations are also themes treated in the papers. - [Dynamical Systems: Stability Theory and Applications](https://online.neatra.in/product/dynamical-systems-stability-theory-and-applications/) - [Dynamical Systems: Proceedings of the Special Year Held at the University of Maryland, College Park, 1986-87](https://online.neatra.in/product/dynamical-systems-proceedings-of-the-special-year-held-at-the-university-of-maryland-college-park-1986-87/): The papers in this volume reflect the richness and diversity of the subject of dynamics. Some are lectures given at the three conferences (Ergodic Theory and Topological Dynamics, Symbolic Dynamics and Coding Theory and Smooth Dynamics, Dynamics and Applied Dynamics) held in Maryland between October 1986 and March 1987| some are work which was in progress during the Special Year, and some are work which was done because of questions and problems raised at the conferences. - [Dynamical Systems: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-26, 2000](https://online.neatra.in/product/dynamical-systems-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-june-19-26-2000/): The C.I.M.E. session on Dynamical Systems, held in Cetraro (Italy), June 19-26, 2000, focused on the latest developments in several important areas in dynamical systems, with full development and historical context. - [Dynamical Systems: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 13 - 22, 1994](https://online.neatra.in/product/dynamical-systems-lectures-given-at-the-2nd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-montecatini-terme-italy-june-13-22-1994/): This volume contains the lecture notes written by the four principal speakers at the C.I.M.E. session on Dynamical Systems held at Montecatini, Italy in June 1994. The goal of the session was to illustrate how methods of dynamical systems can be applied to the study of ordinary and partial differential equations. - [Dynamical Systems, Graphs, and Algorithms](https://online.neatra.in/product/dynamical-systems-graphs-and-algorithms/): "This book provides a taster for using symbolic analysis, graph theory, and set-oriented methods in a quest to understand the global structure of the dynamics in a continuous- or discrete-time system. In many ways, the techniques discussed here are complementary to more traditional ways of analysing a dynamical system and as such, this book can be viewed as a valuable entry into the theory and computational methods. - [Dynamical Systems and Small Divisors: Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998](https://online.neatra.in/product/dynamical-systems-and-small-divisors-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-june-13-20-1998/): Includes supplementary material: sn.pub/extras - [Dynamical Systems and Bifurcations: Proceedings of a Workshop Held in Groningen, The Netherlands, April 16-20, 1984](https://online.neatra.in/product/dynamical-systems-and-bifurcations-proceedings-of-a-workshop-held-in-groningen-the-netherlands-april-16-20-1984/) - [Dynamical Systems - Warwick 1974: Proceedings of a Symposium held at the University of Warwick 1973/74](https://online.neatra.in/product/dynamical-systems-warwick-1974-proceedings-of-a-symposium-held-at-the-university-of-warwick-1973-74/) - [Dynamical Aspects of Teichmüller Theory: SL(2,R)-Action on Moduli Spaces of Flat Surfaces](https://online.neatra.in/product/dynamical-aspects-of-teichmuller-theory-sl2r-action-on-moduli-spaces-of-flat-surfaces/): The book gives easy access to recent research topics in Teichmüller dynamics| the results described were obtained after 2012 The book provides streamlined and partly new versions of the proofs of these recent research results After the introduction, each chapter can be read independently from one another, dealing with different aspects of Teichmüller dynamics. They are self-contained moduli of the background content introduced in the first chapter - [Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Ampère Equations: VIASM 2016](https://online.neatra.in/product/dynamical-and-geometric-aspects-of-hamilton-jacobi-and-linearized-monge-ampere-equations-viasm-2016/): Contains a gentle introduction to Monge-Ampère equations Offers a starting point to learn the theory of viscosity solutions (see appendix of part 2) Provides up-to-date research directions in the fields of Hamilton-Jacobi and linearized Monge-Ampere equations Includes supplementary material: sn.pub/extras - [Dynamic Optimization: Deterministic and Stochastic Models](https://online.neatra.in/product/dynamic-optimization-deterministic-and-stochastic-models/): Provides a self-contained and easy-to-read introduction to dynamic programming Provides a comprehensive treatment of discrete-time multistage optimization Presents the theory of Markov decision processes without advanced measure theory Includes various examples and exercises (without solutions) Includes supplementary material: sn.pub/extras - [Dynamic Bifurcations: Proceedings of a Conference held in Luminy, France, March 5-10, 1990](https://online.neatra.in/product/dynamic-bifurcations-proceedings-of-a-conference-held-in-luminy-france-march-5-10-1990/) - [Duality in Measure Theory](https://online.neatra.in/product/duality-in-measure-theory/) - [Duality for Crossed Products of von Neumann Algebras](https://online.neatra.in/product/duality-for-crossed-products-of-von-neumann-algebras/) - [Drinfeld Modular Curves](https://online.neatra.in/product/drinfeld-modular-curves/) - [Doubly Stochastic Poisson Processes](https://online.neatra.in/product/doubly-stochastic-poisson-processes/) - [Donaldson Type Invariants for Algebraic Surfaces: Transition of Moduli Stacks](https://online.neatra.in/product/donaldson-type-invariants-for-algebraic-surfaces-transition-of-moduli-stacks/): Includes supplementary material: sn.pub/extras - [Domination Games Played on Graphs](https://online.neatra.in/product/domination-games-played-on-graphs/): This concise monograph present the complete history of the domination game and its variants up to the most recent developments and will stimulate research on closely related topics, establishing a key reference for future developments. The crux of the discussion surrounds new methods and ideas that were developed within the theory, led by the imagination strategy, the Continuation Principle, and the discharging method of Bujtás, to prove results about domination game invariants. - [D-modules, Representation Theory, and Quantum Groups: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Venezia, Italy, June 12-20, 1992](https://online.neatra.in/product/d-modules-representation-theory-and-quantum-groups-lectures-given-at-the-2nd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-venezia-italy-june-12-20-1992/) - [Diversity in Visualization](https://online.neatra.in/product/diversity-in-visualization/): At the 2016 IEEE VIS Conference in Baltimore, Maryland, a panel of experts from the Scientific Visualization (SciVis) community gathered to discuss why the SciVis component of the conference had been shrinking significantly for over a decade. - [Divergent Series, Summability and Resurgence I-III](https://online.neatra.in/product/divergent-series-summability-and-resurgence-i-iii/): Features a thorough resurgent analysis of the celebrated non-linear differential equation Painlevé I Includes new specialized results in the theory of resurgence For the first time, higher order Stokes phenomena of Painlevé I are made explicit by means of the so-called bridge equation Features an elementary, self-contained introduction to analytic differential Galois theory and the Riemann-Hilbert problem. Provides a foundation that will allow the reader to independently explore and understand the specialized literature in the field. For the first time, resurgence theory is introduced with great pedagogical care and the main proofs are given in full detail. Can be treated both as a reference book and as a tutorial on the theories of summability and their links to the formal and local analytic aspects of linear ordinary differential equations. - [Divergent Series, Summability and Resurgence III](https://online.neatra.in/product/divergent-series-summability-and-resurgence-iii/): The aim of this volume is two-fold. First, to show how the resurgent methods introduced in volume 1 can be applied efficiently in a non-linear setting; to this end further properties of the resurgence theory must be developed. Second, to analyze the fundamental example of the First Painlevé equation. - [Divergent Series, Summability and Resurgence II](https://online.neatra.in/product/divergent-series-summability-and-resurgence-ii/): Addressing the question how to “sum” a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answers by presenting and comparing the various theories of k-summability and multisummability. These theories apply in particular to all solutions of ordinary differential equations. - [Divergent Series, Summability and Resurgence I: Monodromy and Resurgence](https://online.neatra.in/product/divergent-series-summability-and-resurgence-i-monodromy-and-resurgence/): Features an elementary, self-contained introduction to analytic differential Galois theory and the Riemann-Hilbert problem Provides a foundation that will allow the reader to independently explore and understand the specialized literature in the field Focuses on 1-summability and resurgence, with a view to nonlinear problems For the first time, resurgence theory is introduced with great pedagogical care and the main proofs are given in full detail All notions are motivated and illustrated by numerous examples and applications - [Divergence Operator and Related Inequalities](https://online.neatra.in/product/divergence-operator-and-related-inequalities/): This Brief is mainly devoted to two classical and related results: the existence of a right inverse of the divergence operator and the so-called Korn Inequalities. It is well known that both results are fundamental tools in the analysis of some classic differential equations, particularly in those arising in fluid dynamics and elasticity. - [Distributions, Partial Differential Equations, and Harmonic Analysis](https://online.neatra.in/product/distributions-partial-differential-equations-and-harmonic-analysis/): The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. - [Distributions and Nonlinear Partial Differential Equations](https://online.neatra.in/product/distributions-and-nonlinear-partial-differential-equations/) - [Distance Expanding Random Mappings, Thermodynamical Formalism, Gibbs Measures and Fractal Geometry](https://online.neatra.in/product/distance-expanding-random-mappings-thermodynamical-formalism-gibbs-measures-and-fractal-geometry/): Contains new results Complete treatment of the topic Originality of the topic Includes supplementary material: sn.pub/extras - [Dispersive Shallow Water Waves: Theory, Modeling, and Numerical Methods](https://online.neatra.in/product/dispersive-shallow-water-waves-theory-modeling-and-numerical-methods/): Presents cutting-edge research on dispersive wave modelling, and the numerical methods used to simulate the propagation and generation of long surface water waves Demonstrates state-of-the-art, adaptive techniques for modelling real-world natural phenomena, such as tsunami waves, and smaller scale coastal processes Collects and expands upon the authorsÂ’ own research, while providing an overview on existing dispersive models - [Dispersive Equations and Nonlinear Waves](https://online.neatra.in/product/dispersive-equations-and-nonlinear-waves/): The first part of the book provides an introduction to key tools and techniques in dispersive equations: Strichartz estimates, bilinear estimates, modulation and adapted function spaces, with an application to the generalized Korteweg-de Vries equation and the Kadomtsev-Petviashvili equation. - [Dispersal, Individual Movement and Spatial Ecology: A Mathematical Perspective](https://online.neatra.in/product/dispersal-individual-movement-and-spatial-ecology-a-mathematical-perspective/): Includes supplementary material: sn.pub/extras - [Disorder and Critical Phenomena Through Basic Probability Models: École d’Été de Probabilités de Saint-Flour XL – 2010](https://online.neatra.in/product/disorder-and-critical-phenomena-through-basic-probability-models-ecole-daete-de-probabilites-de-saint-flour-xl-a-2010/): It develops the tools that allow a person with a probability background to access a large amount of theoretical physics literature. Recently developed mathematical techniques are explained in detail for a class of models that demand no background beyond a standard graduate course in probability. It proposes various open questions, along with the explanation of what the answer is expected to be in the physical community. Includes supplementary material: sn.pub/extras - [Discretization Methods for Stable Initial Value Problems](https://online.neatra.in/product/discretization-methods-for-stable-initial-value-problems/) - [Discrete-Event Control of Stochastic Networks: Multimodularity and Regularity](https://online.neatra.in/product/discrete-event-control-of-stochastic-networks-multimodularity-and-regularity/): Opening new directions in research in both discrete event dynamic systems as well as in stochastic control, this volume focuses on a wide class of control and of optimization problems over sequences of integer numbers. This is a counterpart of convex optimization in the setting of discrete optimization. - [Discrete Stochastic Processes and Applications](https://online.neatra.in/product/discrete-stochastic-processes-and-applications/): Provides applications to Markov processes, coding/information theory, population dynamics, and search engine design Ideal for a newly designed introductory course to probability and information theory Presents an engaging treatment of entropy Reader develops solid probabilistic intuition without the need for a course in measure theory - [Discrete Fractional Calculus and Fractional Difference Equations](https://online.neatra.in/product/discrete-fractional-calculus-and-fractional-difference-equations/): This brief aims to merge the theories of fractional calculus and discrete calculus in a concise but comprehensive manner. It is designed for graduate students, but will be useful for any researcher interested in the theory of discrete fractional calculus and fractional difference equations. - [Discrete Dynamical Models](https://online.neatra.in/product/discrete-dynamical-models/): The multi-disciplinary and modellistic approach provides a broad overview of the applications A large number of step-by-step exercises and their worked solutions help the reader to learn quickly The notion of chaotic dynamics is introduced through an in-depth study of the logistic model Vector-valued discrete dynamical systems are focussed especially in connection to Markov chains, positive systems, demography and page-rank algorithm Includes supplementary material: sn.pub/extras - [Discontinuous Cebysev Systems](https://online.neatra.in/product/discontinuous-cebysev-systems/) - [Disconjugacy](https://online.neatra.in/product/disconjugacy/) - [Dirichlet Series and Automorphic Forms: Lezioni Fermiane](https://online.neatra.in/product/dirichlet-series-and-automorphic-forms-lezioni-fermiane/) - [Dirichlet Integrals on Harmonic Spaces](https://online.neatra.in/product/dirichlet-integrals-on-harmonic-spaces/) - [Dirichlet Forms: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna, Italy, June 8-19, 1992](https://online.neatra.in/product/dirichlet-forms-lectures-given-at-the-1st-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-varenna-italy-june-8-19-1992/): The theory of Dirichlet forms has witnessed recently some very important developments both in theoretical foundations and in applications (stochasticprocesses, quantum field theory, composite materials,...). It was therefore felt timely to have on this subject a CIME school, in which leading experts in the field would present both the basic foundations of the theory and some of the recent applications. - [Directed Polymers in Random Environments](https://online.neatra.in/product/directed-polymers-in-random-environments/): Analyzing the phase transition from diffusive to localized behavior in a model of directed polymers in a random environment, this volume places particular emphasis on the localization phenomenon. - [Direct and Inverse Sturm-Liouville Problems](https://online.neatra.in/product/direct-and-inverse-sturm-liouville-problems/): This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. - [Diophantine Approximations and Value Distribution Theory](https://online.neatra.in/product/diophantine-approximations-and-value-distribution-theory/) - [Diophantine Approximations and Diophantine Equations](https://online.neatra.in/product/diophantine-approximations-and-diophantine-equations/): "This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to diophantine equations. The methods are classical, and the results stressed can be obtained without much background in algebraic geometry. - [Diophantine Approximation: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 – July 6, 2000](https://online.neatra.in/product/diophantine-approximation-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-june-28-a-july-6-2000/): Diophantine Approximation is a branch of Number Theory having its origins in the problem of producing “best” rational approximations to given realn- bers. Since the early work of Lagrange on PellÂ’s equation and the pioneering work of Thue on the rational approximations to algebraic numbers of degree ? 3, it has been clear how, in addition to its own speci?c importance and - terest, the theory can have fundamental applications to classical diophantine problems in Number Theory. - [Diophantine Approximation and Transcendence Theory: Seminar, Bonn (FRG) May - June 1985](https://online.neatra.in/product/diophantine-approximation-and-transcendence-theory-seminar-bonn-frg-may-june-1985/) - [Diophantine Approximation and Abelian Varieties: Introductory Lectures](https://online.neatra.in/product/diophantine-approximation-and-abelian-varieties-introductory-lectures/): The 13 chapters of this book centre around the proof of Theorem 1 of Faltings' paper "Diophantine approximation on abelian varieties", Ann. Math.133 (1991) and together give an approach to the proof that is accessible to Ph.D-level students in number theory and algebraic geometry. Each chapter is based on an instructional lecture given by its author ata special conference for graduate students, on the topic of Faltings' paper. - [Diophantine Approximation](https://online.neatra.in/product/diophantine-approximation/) - [Diffraction by an Immersed Elastic Wedge](https://online.neatra.in/product/diffraction-by-an-immersed-elastic-wedge/): Includes supplementary material: sn.pub/extras - [Differentiation of Real Functions](https://online.neatra.in/product/differentiation-of-real-functions/) - [Differentiation of Integrals in Rn](https://online.neatra.in/product/differentiation-of-integrals-in-rn/) - [Differential Topology: Proceedings of the Second Topology Symposium, held in Siegen, FRG, Jul. 27 - Aug. 1, 1987](https://online.neatra.in/product/differential-topology-proceedings-of-the-second-topology-symposium-held-in-siegen-frg-jul-27-aug-1-1987/): The main subjects of the Siegen Topology Symposium are reflected in this collection of 16 research and expository papers. They center around differential topology and, more specifically, around linking phenomena in 3, 4 and higher dimensions, tangent fields, immersions and other vector bundle morphisms. Manifold categories, K-theory and group actions are also discussed. - [Differential Topology, Foliations and Gelfand-Fuks Cohomology: Proceedings of the Symposium Held at the Ponteficia Universidade Catolica do Rio de Janeiro, 5 - 24 January, 1976.](https://online.neatra.in/product/differential-topology-foliations-and-gelfand-fuks-cohomology-proceedings-of-the-symposium-held-at-the-ponteficia-universidade-catolica-do-rio-de-janeiro-5-24-january-1976/) - [Differential Topology of Complex Surfaces: Elliptic Surfaces with pg = 1: Smooth Classification](https://online.neatra.in/product/differential-topology-of-complex-surfaces-elliptic-surfaces-with-pg-1-smooth-classification/): This book is about the smooth classification of a certain class of algebraicsurfaces, namely regular elliptic surfaces of geometric genus one, i.e. elliptic surfaces with b1 = 0 and b2+ = 3. The authors give a complete classification of these surfaces up to diffeomorphism. - [Differential Topology and Geometry: Proceedings of the Colloquium held at Dijon, 17-22 June, 1974](https://online.neatra.in/product/differential-topology-and-geometry-proceedings-of-the-colloquium-held-at-dijon-17-22-june-1974/) - [Differential Systems Involving Impulses](https://online.neatra.in/product/differential-systems-involving-impulses/) - [Differential Operators for Partial Differential Equations and Function Theoretic Applications](https://online.neatra.in/product/differential-operators-for-partial-differential-equations-and-function-theoretic-applications/) - [Differential Geometry: Proceedings of the Nordic Summer School held in Lyngby, Denmark, Jul. 29-Aug. 9, 1985](https://online.neatra.in/product/differential-geometry-proceedings-of-the-nordic-summer-school-held-in-lyngby-denmark-jul-29-aug-9-1985/): The volume includes papers, often with original lines of attack, on twistor methods for harmonic maps, the differential geometric aspects of Yang-Mills theory, complex differential geometry, metric differential geometry and partial differential equations in differential geometry. Most of the papers are of lasting value and provide a good introduction to their subject. - [Differential Geometry: Proceedings of the International Symposium Held at Peniscola, Spain, October 3-10, 1982](https://online.neatra.in/product/differential-geometry-proceedings-of-the-international-symposium-held-at-peniscola-spain-october-3-10-1982/) - [Differential Geometry: Proceedings of the 3rd International Symposium, held at Peniscola, Spain, June 5-12, 1988](https://online.neatra.in/product/differential-geometry-proceedings-of-the-3rd-international-symposium-held-at-peniscola-spain-june-5-12-1988/): This volume of proceedings contains selected and refereed articles - both surveys and original research articles - on geometric structures, global analysis, differential operators on manifolds, cohomology theories and other topics in differential geometry. - [Differential Geometry, Peniscola 1985: Proceedings of the 2nd International Symposium held at Peniscola, Spain, June 2-9, 1985](https://online.neatra.in/product/differential-geometry-peniscola-1985-proceedings-of-the-2nd-international-symposium-held-at-peniscola-spain-june-2-9-1985/) - [Differential Geometry of Submanifolds: Proceedings of the Conference held at Kyoto, January 23-25, 1984](https://online.neatra.in/product/differential-geometry-of-submanifolds-proceedings-of-the-conference-held-at-kyoto-january-23-25-1984/) - [Differential Geometry in the Large: Seminar Lectures New York University 1946 and Stanford University 1956](https://online.neatra.in/product/differential-geometry-in-the-large-seminar-lectures-new-york-university-1946-and-stanford-university-1956/) - [Differential Geometry and Topology: Proceedings of the Special Year at Nankai Institute of Mathematics, Tianjin, PR China, 1986-87](https://online.neatra.in/product/differential-geometry-and-topology-proceedings-of-the-special-year-at-nankai-institute-of-mathematics-tianjin-pr-china-1986-87/) - [Differential Geometry and Differential Equations: Proceedings of a Symposium, held in Shanghai, June 21 - July 6, 1985](https://online.neatra.in/product/differential-geometry-and-differential-equations-proceedings-of-a-symposium-held-in-shanghai-june-21-july-6-1985/): The DD6 Symposium was, like its predecessors DD1 to DD5 both a research symposium and a summer seminar and concentrated on differential geometry. This volume contains a selection of the invited papers and some additional contributions. - [Differential Geometrical Methods in Mathematical Physics: Proceedings of the Symposium Held at the University at the University of Bonn, July 1 - 4, 1975](https://online.neatra.in/product/differential-geometrical-methods-in-mathematical-physics-proceedings-of-the-symposium-held-at-the-university-at-the-university-of-bonn-july-1-4-1975/) - [Differential Geometrical Methods in Mathematical Physics: Proceedings of the Conference Held at Aix-en-Provence, September 3-7, 1979 and Salamanca, September 10-14, 1979](https://online.neatra.in/product/differential-geometrical-methods-in-mathematical-physics-proceedings-of-the-conference-held-at-aix-en-provence-september-3-7-1979-and-salamanca-september-10-14-1979/) - [Differential Geometrical Methods in Mathematical Physics II: Proceedings, University of Bonn, July 13 - 16, 1977](https://online.neatra.in/product/differential-geometrical-methods-in-mathematical-physics-ii-proceedings-university-of-bonn-july-13-16-1977/) - [Differential Geometric Methods in Mathematical Physics: Proceedings of the 14th International Conference held in Salamanca, Spain, June 24 - 29, 1985](https://online.neatra.in/product/differential-geometric-methods-in-mathematical-physics-proceedings-of-the-14th-international-conference-held-in-salamanca-spain-june-24-29-1985/): The focal topic of the 14th International Conference on Differential Geometric Methods was that of mathematical problems in classical field theory and the emphasis of the resulting proceedings volume is on superfield theory and related topics, and classical and quantized fields. - [Differential Geometric Methods in Mathematical Physics: Proceedings of an International Conference Held at the Technical University of Clausthal, FRG, August 30 - September 2, 1983](https://online.neatra.in/product/differential-geometric-methods-in-mathematical-physics-proceedings-of-an-international-conference-held-at-the-technical-university-of-clausthal-frg-august-30-september-2-1983/) - [Differential Geometric Methods in Mathematical Physics: Proceedings of a Conference Held at the Technical University of Clausthal, FRG, July 23-25, 1980](https://online.neatra.in/product/differential-geometric-methods-in-mathematical-physics-proceedings-of-a-conference-held-at-the-technical-university-of-clausthal-frg-july-23-25-1980/) - [Differential Function Fields and Moduli of Algebraic Varieties](https://online.neatra.in/product/differential-function-fields-and-moduli-of-algebraic-varieties/) - [Differential Equations: Proceedings of the 1st Latin American School of Differential Equations, Held at Sao Paulo, Brazil, June 29 - July 17, 1981](https://online.neatra.in/product/differential-equations-proceedings-of-the-1st-latin-american-school-of-differential-equations-held-at-sao-paulo-brazil-june-29-july-17-1981/) - [Differential Equations: Methods and Applications](https://online.neatra.in/product/differential-equations-methods-and-applications/): This book presents a variety of techniques for solving ordinary differential equations analytically and features a wealth of examples. Focusing on the modeling of real-world phenomena, it begins with a basic introduction to differential equations, followed by linear and nonlinear first order equations and a detailed treatment of the second order linear equations. - [Differential Equations in Banach Spaces: Proceedings of a Conference held in Bologna, July 2-5, 1985](https://online.neatra.in/product/differential-equations-in-banach-spaces-proceedings-of-a-conference-held-in-bologna-july-2-5-1985/) - [Differential Equations Driven by Rough Paths: Ecole dÂ’Eté de Probabilités de Saint-Flour XXXIV-2004](https://online.neatra.in/product/differential-equations-driven-by-rough-paths-ecole-daete-de-probabilites-de-saint-flour-xxxiv-2004/): Includes supplementary material: sn.pub/extras - [Fast Start Advanced Calculus](https://online.neatra.in/product/fast-start-advanced-calculus/): This book continues the material in two early Fast Start calculus volumes to include multivariate calculus, sequences and series, and a variety of additional applications. These include partial derivatives and the optimization techniques that arise from them, including Lagrange multipliers. - [Families of Meromorphic Functions on Compact Riemann Surfaces](https://online.neatra.in/product/families-of-meromorphic-functions-on-compact-riemann-surfaces/) - [Factors and Factorizations of Graphs: Proof Techniques in Factor Theory](https://online.neatra.in/product/factors-and-factorizations-of-graphs-proof-techniques-in-factor-theory/): The book is self-contained and comprehensive, allowing readers to rely on it exclusively to understand the entire history and development of this area. Unlike other books, in which difficult proof techniques are simply lifted from earlier sources, in this book, the contents of each proof technique is analyzed and streamlined. Each chapter features conjectures and open problems, inspiring readers to further their own study. Includes supplementary material: sn.pub/extras - [Factorizable Sheaves and Quantum Groups](https://online.neatra.in/product/factorizable-sheaves-and-quantum-groups/): The book is devoted to the geometrical construction of the representations of Lusztig's small quantum groups at roots of unity. These representations are realized as some spaces of vanishing cycles of perverse sheaves over configuration spaces. - [F.B.I. Transformation: Second Microlocalization and Semilinear Caustics](https://online.neatra.in/product/f-b-i-transformation-second-microlocalization-and-semilinear-caustics/) - [Extremum Problems for Bounded Univalent Functions II](https://online.neatra.in/product/extremum-problems-for-bounded-univalent-functions-ii/) - [Extremum Problems for Bounded Univalent Functions](https://online.neatra.in/product/extremum-problems-for-bounded-univalent-functions/) - [Extreme Eigen Values of Toeplitz Operators](https://online.neatra.in/product/extreme-eigen-values-of-toeplitz-operators/) - [Extrapolation and Optimal Decompositions: with Applications to Analysis](https://online.neatra.in/product/extrapolation-and-optimal-decompositions-with-applications-to-analysis/): This book develops a theory of extrapolation spaces with applications to classical and modern analysis. Extrapolation theory aims to provide a general framework to study limiting estimates in analysis. - [Extinction and Quasi-Stationarity in the Stochastic Logistic SIS Model](https://online.neatra.in/product/extinction-and-quasi-stationarity-in-the-stochastic-logistic-sis-model/): Includes supplementary material: sn.pub/extras - [Extensions of Positive Definite Functions: Applications and Their Harmonic Analysis](https://online.neatra.in/product/extensions-of-positive-definite-functions-applications-and-their-harmonic-analysis/): This monograph deals with the mathematics of extending given partial data-sets obtained from experiments; Experimentalists frequently gather spectral data when the observed data is limited, e.g., by the precision of instruments; or by other limiting external factors. - [Extensional Gödel Functional Interpretation: A Consistensy Proof of Classical Analysis](https://online.neatra.in/product/extensional-godel-functional-interpretation-a-consistensy-proof-of-classical-analysis/) - [Extension of Positive Operators and Korovkin Theorems](https://online.neatra.in/product/extension-of-positive-operators-and-korovkin-theorems/) - [Exploring Representation in Evolutionary Level Design](https://online.neatra.in/product/exploring-representation-in-evolutionary-level-design/): Automatic content generation is the production of content for games, web pages, or other purposes by procedural means. Search-based automatic content generation employs search-based algorithms to accomplish automatic content generation. - [Exploring Mathematics: Problem-Solving and Proof](https://online.neatra.in/product/exploring-mathematics-problem-solving-and-proof/): Provides general and maths-specific problem-solving strategies Contains many motivating examples and exercises Engages the reader to explore mathematics and solve fun problems Introduces fundamental ideas useful in all areas of mathematics - [Exploring Formalisation](https://online.neatra.in/product/exploring-formalisation/): This primer on mathematics formalisation provides a rapid, hands-on introduction to proof verification in Lean. After a quick introduction to Lean, the basic techniques of human-readable formalisation are introduced, illustrated by simple examples on maps, induction and real numbers. - [Exploring Classical Greek Construction Problems with Interactive Geometry Software](https://online.neatra.in/product/exploring-classical-greek-construction-problems-with-interactive-geometry-software/): In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. - [Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications: Cetraro, Italy 2015](https://online.neatra.in/product/exploiting-hidden-structure-in-matrix-computations-algorithms-and-applications-cetraro-italy-2015/): Focusing on special matrices and matrices which are in some sense `nearÂ’ to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra. - [Explicit Formulas: for Regularized Products and Series](https://online.neatra.in/product/explicit-formulas-for-regularized-products-and-series/): The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. - [Explicit Constructions of Automorphic L-Functions](https://online.neatra.in/product/explicit-constructions-of-automorphic-l-functions/): The goal of this research monograph is to derive the analytic continuation and functional equation of the L-functions attached by R.P. Langlands to automorphic representations of reductive algebraic groups. The first part of the book (by Piatetski-Shapiro and Rallis) deals with L-functions for the simple classical groups| the second part (by Gelbart and Piatetski-Shapiro) deals with non-simple groups of the form G GL(n), with G a quasi-split reductive group of split rank n. - [Existence Families, Functional Calculi and Evolution Equations](https://online.neatra.in/product/existence-families-functional-calculi-and-evolution-equations/): This book presents an operator-theoretic approach to ill-posed evolution equations. It presents the basic theory, and the more surprising examples, of generalizations of strongly continuous semigroups known as 'existent families' and 'regularized semigroups'. - [Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators](https://online.neatra.in/product/existence-and-regularity-properties-of-the-integrated-density-of-states-of-random-schrodinger-operators/): Includes supplementary material: sn.pub/extras - [Excel 2019 for Physical Sciences Statistics: A Guide to Solving Practical Problems](https://online.neatra.in/product/excel-2019-for-physical-sciences-statistics-a-guide-to-solving-practical-problems/): This book shows the capabilities of Microsoft Excel in teaching physical science statistics effectively. Similar to the previously published Excel 2016 for Physical Sciences Statistics, this book is a step-by-step, exercise-driven guide for students and practitioners who need to master Excel to solve practical physical science problems. - [Exact Categories and Categories of Sheaves](https://online.neatra.in/product/exact-categories-and-categories-of-sheaves/) - [Evolutionary Equations with Applications in Natural Sciences](https://online.neatra.in/product/evolutionary-equations-with-applications-in-natural-sciences/): With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and complexity theory. - [Evolution Algebras and their Applications](https://online.neatra.in/product/evolution-algebras-and-their-applications/): Includes supplementary material: sn.pub/extras - [Euclidean Harmonic Analysis: Proceedings of Seminars Held at the University of Maryland, 1979](https://online.neatra.in/product/euclidean-harmonic-analysis-proceedings-of-seminars-held-at-the-university-of-maryland-1979/) - [Etale Homotopy](https://online.neatra.in/product/etale-homotopy/) - [Estimation and Testing Under Sparsity: École d'Été de Probabilités de Saint-Flour XLV – 2015](https://online.neatra.in/product/estimation-and-testing-under-sparsity-ecole-dete-de-probabilites-de-saint-flour-xlv-a-2015/): Starting with the popular Lasso method as its prime example, the book then extends to a broad family of estimation methods for high-dimensional data A theoretical basis for sparsity-inducing methods is provided, together with ways to build confidence intervals and tests The focus is on common features of methods for high-dimensional data and, as such, a potential starting point is given for the analysis of other methods not treated in the book - [Essential Topology](https://online.neatra.in/product/essential-topology/): Unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study Written from a thoroughly modern perspective: every topic is introduced with an explanation of why it is being studied, and a huge number of examples provide further motivation Ideal for self-study| it assumes only a familiarity with the notion of continuity and basic algebra Includes supplementary material: sn.pub/extras - [Essential Real Analysis](https://online.neatra.in/product/essential-real-analysis/): Contains more than 570 exercises of varying difficulty Provides proofs of basic results on existence and regularity of solutions of ordinary differential equations Includes a full treatment of the inverse function theorem in several variables Emphasizes the importance of estimates and computation in analysis - [Essential Partial Differential Equations](https://online.neatra.in/product/essential-partial-differential-equations/): This volume provides an introduction to the analytical and numerical aspects of partial differential equations (PDEs). It unifies an analytical and computational approach for these| the qualitative behaviour of solutions being established using classical concepts: maximum principles and energy methods. - [Essential Ordinary Differential Equations](https://online.neatra.in/product/essential-ordinary-differential-equations/): This textbook offers an engaging account of the theory of ordinary differential equations intended for advanced undergraduate students of mathematics. Informed by the authorÂ’s extensive teaching experience, the book presents a series of carefully selected topics that, taken together, cover an essential body of knowledge in the field. - [Essential Mathematical Biology](https://online.neatra.in/product/essential-mathematical-biology/): Covers standard courses in mathematical biology in the UK and the US Covers classical material, but gives pointers to cutting-edge research A website with solutions and additional material provides up-to-date support Bullets key concepts at the beginning of each chapter and provides a chapter summary at the end - [ERM and QRM in Life Insurance: An Actuarial Primer](https://online.neatra.in/product/erm-and-qrm-in-life-insurance-an-actuarial-primer/): Contains simple mathematics in a crisp presentation Provides a self-contained introduction to Enterprise Risk Management Gives plenty of numerical examples in life insurance and life annuity business - [Ergodic Theory: Proceedings, Oberwolfach, Germany, June, 11-17, 1978](https://online.neatra.in/product/ergodic-theory-proceedings-oberwolfach-germany-june-11-17-1978/) - [Ergodic Theory on Compact Spaces](https://online.neatra.in/product/ergodic-theory-on-compact-spaces/) - [Ergodic Theory Entropy](https://online.neatra.in/product/ergodic-theory-entropy/) - [Ergodic Theory and Statistical Mechanics](https://online.neatra.in/product/ergodic-theory-and-statistical-mechanics/) - [Ergodic Theory and Related Topics III: Proceedings of the International Conference held in Güstrow, Germany, October 22-27, 1990](https://online.neatra.in/product/ergodic-theory-and-related-topics-iii-proceedings-of-the-international-conference-held-in-gustrow-germany-october-22-27-1990/): The purpose of the conference was to represent recent developments in measure theoretic, differentiable and topological dynamical systems as well as connections to probability theory, stochastic processes, operator theory and statistical physics. Only original research papers that do not appear elsewhere are included in the proceedings. - [Ergodic Theory and Negative Curvature: CIRM Jean-Morlet Chair, Fall 2013](https://online.neatra.in/product/ergodic-theory-and-negative-curvature-cirm-jean-morlet-chair-fall-2013/): Accessible to graduate students Provides introductions leading to the forefront of several current research areas A broad sampling of ergodic geometry Includes supplementary material: sn.pub/extras - [Ergodic Theory and Dynamical Systems in their Interactions with Arithmetics and Combinatorics: CIRM Jean-Morlet Chair, Fall 2016](https://online.neatra.in/product/ergodic-theory-and-dynamical-systems-in-their-interactions-with-arithmetics-and-combinatorics-cirm-jean-morlet-chair-fall-2016/): This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuses on its links with ergodic theory, presenting an exhaustive account of recent research on Sarnak's conjecture on Möbius disjointness. - [Ergodic Theory and Dynamical Systems](https://online.neatra.in/product/ergodic-theory-and-dynamical-systems/): Provides a concise introduction to ergodic theory and dynamical systems Presents numerous examples in detail Technically sound and up-to-date, with an approach that favors generality - [Ergodic Theory — Introductory Lectures](https://online.neatra.in/product/ergodic-theory-a-introductory-lectures/) - [Ergodic Theoretic Methods in Group Homology: A Minicourse on L2-Betti Numbers in Group Theory](https://online.neatra.in/product/ergodic-theoretic-methods-in-group-homology-a-minicourse-on-l2-betti-numbers-in-group-theory/): Makes recent developments on L2-Betti numbers of groups and related invariants easily accessible to advanced students and researchers Explains the rich interplay between the residually finite approach and the dynamical systems approach Each chapter is complemented by a set of exercises, ranging from simple checks to challenging problems - [Ergodic Optimization in the Expanding Case: Concepts, Tools and Applications](https://online.neatra.in/product/ergodic-optimization-in-the-expanding-case-concepts-tools-and-applications/): This book focuses on the interpretation of ergodic optimal problems as questions of variational dynamics, employing a comparable approach to that of the Aubry-Mather theory for Lagrangian systems. Ergodic optimization is primarily concerned with the study of optimizing probability measures. - [Equivariant Surgery Theories and Their Periodicity Properties](https://online.neatra.in/product/equivariant-surgery-theories-and-their-periodicity-properties/): The theory of surgery on manifolds has been generalized to categories of manifolds with group actions in several different ways. This book discusses some basic properties that such theories have in common. - [Equivariant Stable Homotopy Theory](https://online.neatra.in/product/equivariant-stable-homotopy-theory/) - [Equivariant Sheaves and Functors](https://online.neatra.in/product/equivariant-sheaves-and-functors/): The equivariant derived category of sheaves is introduced. All usual functors on sheaves are extended to the equivariant situation. - [Equivariant Pontrjagin Classes and Applications to Orbit Spaces: Applications of the G-signature Theorem to Transformation Groups, Symmetric Products and Number Theory](https://online.neatra.in/product/equivariant-pontrjagin-classes-and-applications-to-orbit-spaces-applications-of-the-g-signature-theorem-to-transformation-groups-symmetric-products-and-number-theory/) - [Equivariant Poincaré Duality on G-Manifolds](https://online.neatra.in/product/equivariant-poincare-duality-on-g-manifolds/): This book carefully presents a unified treatment of equivariant Poincaré duality in a wide variety of contexts, illuminating an area of mathematics that is often glossed over elsewhere. The approach used here allows the parallel treatment of both equivariant and nonequivariant cases. - [Equivariant Ordinary Homology and Cohomology](https://online.neatra.in/product/equivariant-ordinary-homology-and-cohomology/): A long-awaited detailed account of an ordinary equivariant (co)homology theory for compact Lie Group actions that is fully stable and has Poincaré Duality for all G-manifolds Extends all the commonly used ordinary equivariant theories, including Borel (co)homology, Bredon-Illman (co)homology, and RO(G)-graded ordinary (co)homology Includes numerous motivating examples and calculations Includes guides to reading on several levels, from a first reading avoiding technicalities to more in-depth readings The first published results on the theory for actions by general compact Lie groups Includes supplementary material: sn.pub/extras - [Equivariant K-Theory and Freeness of Group Actions on C*-Algebras](https://online.neatra.in/product/equivariant-k-theory-and-freeness-of-group-actions-on-c-algebras/): Freeness of an action of a compact Lie group on a compact Hausdorff space is equivalent to a simple condition on the corresponding equivariant K-theory. This fact can be regarded as a theorem on actions on a commutative C*-algebra, namely the algebra of continuous complex-valued functions on the space. - [Equivariant Cohomology Theories](https://online.neatra.in/product/equivariant-cohomology-theories/) - [Equivariant Cohomology of Configuration Spaces Mod 2](https://online.neatra.in/product/equivariant-cohomology-of-configuration-spaces-mod-2/): Makes a long sequence of papers considerably more accessible Gives a corrected new proof of an influential result of Hung Contains applications to the existence of k-regular maps - [Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms](https://online.neatra.in/product/equilibrium-states-and-the-ergodic-theory-of-anosov-diffeomorphisms/): Includes supplementary material: sn.pub/extras - [Equations over Finite Fields: An Elementary Approach](https://online.neatra.in/product/equations-over-finite-fields-an-elementary-approach/) - [Equations Differentielles et Systemes de Pfaff dans le Champs Complexe II: Seminaire](https://online.neatra.in/product/equations-differentielles-et-systemes-de-pfaff-dans-le-champs-complexe-ii-seminaire/) - [Equations Differentielles et Systemes de Pfaff dans le Champ Complexe I](https://online.neatra.in/product/equations-differentielles-et-systemes-de-pfaff-dans-le-champ-complexe-i/) - [Equations aux Derivees Partielles: Proceedings, Saint-Jean-de-Monts, June 1-4, 1977](https://online.neatra.in/product/equations-aux-derivees-partielles-proceedings-saint-jean-de-monts-june-1-4-1977/) - [Equational Compactness in Rings: With Applications to the Theory of Topological Rings](https://online.neatra.in/product/equational-compactness-in-rings-with-applications-to-the-theory-of-topological-rings/) - [Equadiff IV: Proceedings, Prague, August 22-26, 1977](https://online.neatra.in/product/equadiff-iv-proceedings-prague-august-22-26-1977/) - [Equadiff 82: Proceedings of the International Conference Held in Würzburg, FRG, August 23-28, 1982](https://online.neatra.in/product/equadiff-82-proceedings-of-the-international-conference-held-in-wurzburg-frg-august-23-28-1982/) - [Equadiff 6: Proceedings of the International Conference on Differential Equations and their Applications, Held in Brno, Czechoslovakia, Aug. 26-30, 1985](https://online.neatra.in/product/equadiff-6-proceedings-of-the-international-conference-on-differential-equations-and-their-applications-held-in-brno-czechoslovakia-aug-26-30-1985/) - [Epistemological Beliefs and Critical Thinking in Mathematics](https://online.neatra.in/product/epistemological-beliefs-and-critical-thinking-in-mathematics/): Epistemological beliefs—i.e. beliefs on the nature of knowledge, its limits, sources, and justification—play an important role both in everyday life and in learning processes. - [Episodes in the Mathematics of Medieval Islam](https://online.neatra.in/product/episodes-in-the-mathematics-of-medieval-islam/): This book presents an account of selected topics from key mathematical works of medieval Islam, based on the Arabic texts themselves. Many of these works had a great influence on mathematics in Western Europe. - [Enumerative Invariants in Algebraic Geometry and String Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 6-11, 2005](https://online.neatra.in/product/enumerative-invariants-in-algebraic-geometry-and-string-theory-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-june-6-11-2005/): Includes supplementary material: sn.pub/extras - [Enumerative Geometry: Proceedings of a Conference held in Sitges, Spain, June 1-6, 1987](https://online.neatra.in/product/enumerative-geometry-proceedings-of-a-conference-held-in-sitges-spain-june-1-6-1987/): The central topics of this volume are enumerative geometry and intersection theory. The contributions are original (refereed) research papers. - [Entropy Methods for the Boltzmann Equation: Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001](https://online.neatra.in/product/entropy-methods-for-the-boltzmann-equation-lectures-from-a-special-semester-at-the-centre-emile-borel-institut-h-poincare-paris-2001/): Includes supplementary material: sn.pub/extras - [Entropy Methods for Diffusive Partial Differential Equations](https://online.neatra.in/product/entropy-methods-for-diffusive-partial-differential-equations/): This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). - [Entire Slice Regular Functions](https://online.neatra.in/product/entire-slice-regular-functions/): This Briefs volume develops the theory of entire slice regular functions. - [Enlargement of Filtration with Finance in View](https://online.neatra.in/product/enlargement-of-filtration-with-finance-in-view/): This volume presents classical results of the theory of enlargement of filtration. The focus is on the behavior of martingales with respect to the enlarged filtration and related objects. The study is conducted in various contexts including immersion, progressive enlargement with a random time and initial enlargement with a random variable. - [Energetic Relaxation to Structured Deformations: A Multiscale Geometrical Basis for Variational Problems in Continuum Mechanics](https://online.neatra.in/product/energetic-relaxation-to-structured-deformations-a-multiscale-geometrical-basis-for-variational-problems-in-continuum-mechanics/): This book is the first organized collection of some results that have been obtained by the authors, their collaborators, and other researchers in the variational approach to structured deformations. - [Endotrivial Modules](https://online.neatra.in/product/endotrivial-modules/): This is an in-depth report on the endotrivial modules, an important class of modular representations for finite groups. Following the historical development of the theory, the book starts with a review of the necessary definitions and some key examples. - [Endoscopy for GSp(4) and the Cohomology of Siegel Modular Threefolds](https://online.neatra.in/product/endoscopy-for-gsp4-and-the-cohomology-of-siegel-modular-threefolds/): Includes supplementary material: sn.pub/extras - [Encrypt, Sign, Attack](https://online.neatra.in/product/encrypt-sign-attack/): This book explains compactly, without theoretical superstructure and with as little mathematical formalism as possible, the essential concepts in the encryption of messages and data worthy of protection. The focus is on the description of the historically and practically important cipher, signature and authentication methods. - [Empirical Distributions and Processes: Selected Papers from a Meeting at Oberwolfach, March 28 - April 3, 1976](https://online.neatra.in/product/empirical-distributions-and-processes-selected-papers-from-a-meeting-at-oberwolfach-march-28-april-3-1976/) - [Elliptic Regularity Theory](https://online.neatra.in/product/elliptic-regularity-theory/): These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. - [Elliptic Pseudo-Differential Operators: An Abstract Theory](https://online.neatra.in/product/elliptic-pseudo-differential-operators-an-abstract-theory/) - [Elliptic Operators and Compact Groups](https://online.neatra.in/product/elliptic-operators-and-compact-groups/) - [Elliptic Genera and Vertex Operator Super-Algebras](https://online.neatra.in/product/elliptic-genera-and-vertex-operator-super-algebras/): Includes supplementary material: sn.pub/extras - [Elliptic Functions and Transcendence](https://online.neatra.in/product/elliptic-functions-and-transcendence/) - [Elliptic Extensions in Statistical and Stochastic Systems](https://online.neatra.in/product/elliptic-extensions-in-statistical-and-stochastic-systems/): Hermite's theorem makes it known that there are three levels of mathematical frames in which a simple addition formula is valid. They are rational, q-analogue, and elliptic-analogue. - [Elliptic Curves: Notes from Postgraduate Lectures Given in Lausanne 1971/72](https://online.neatra.in/product/elliptic-curves-notes-from-postgraduate-lectures-given-in-lausanne-1971-72/) - [Elliptic Curves and Modular Forms in Algebraic Topology: Proceedings of a Conference held at the Institute for Advanced Study, Princeton, Sept. 15-17, 1986](https://online.neatra.in/product/elliptic-curves-and-modular-forms-in-algebraic-topology-proceedings-of-a-conference-held-at-the-institute-for-advanced-study-princeton-sept-15-17-1986/): A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology. The resulting papers range, fom these topics through to quantum field theory, with considerable attention to formal groups, homology and cohomology theories, and circle actions on spin manifolds. - [Elliptic Boundary Value Problems on Corner Domains: Smoothness and Asymptotics of Solutions](https://online.neatra.in/product/elliptic-boundary-value-problems-on-corner-domains-smoothness-and-asymptotics-of-solutions/): This research monograph focusses on a large class of variational elliptic problems with mixed boundary conditions on domains with various corner singularities, edges, polyhedral vertices, cracks, slits. In a natural functional framework (ordinary Sobolev Hilbert spaces) Fredholm and semi-Fredholm properties of induced operators are completely characterized. - [Elements of Logic via Numbers and Sets](https://online.neatra.in/product/elements-of-logic-via-numbers-and-sets/): AN ELEMENTARY TEXT THAT WILL INTRODUCE SCHOOL-LEAVERS TO THE CHANGE IN ATTITUDE AND APPROACH NECESSARY TO BECOME UNIVERSITY STUDENTS INTRODUCES THE ROLE AND NATURE OF PROOFS, AND SET THEORIES Includes supplementary material: sn.pub/extras - [Elements of General Relativity](https://online.neatra.in/product/elements-of-general-relativity/): Concise modern introduction to the mathematical tools Precise mathematical treatment of all problems addressed Can be used for an introductory course on a mathematically-minded introduction to EinsteinÂ’s theory of gravitation - [Elements of Abstract Analysis](https://online.neatra.in/product/elements-of-abstract-analysis/): Provides a thorough treatment of the elements of modern analysis including a systematic treatment of the set theory which analysts need to know Aimed specifically at final year undergraduates, it reviews and consolidates the mathematics learned in previous years Also serves as a book on abstract mathematics - [Elementary Number Theory](https://online.neatra.in/product/elementary-number-theory/): The essential guide to number theory for undergraduates Distinguishing features include discussions of the Riemann Zeta Function and Riemann Hypothesis Includes supplementary material: sn.pub/extras - [Elementary Functions](https://online.neatra.in/product/elementary-functions/): This textbook focuses on the study of different kinds of elementary functions ubiquitous both in high school Algebra and Calculus. To analyze the functions ranging from polynomial to trigonometric ones, it uses rudimentary techniques available to high school students, and at the same time follows the mathematical rigor appropriate for university level courses. - [Elementary Differential Geometry](https://online.neatra.in/product/elementary-differential-geometry/): A revised and expanded second edition which presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material - [Elementary Algebraic Geometry](https://online.neatra.in/product/elementary-algebraic-geometry/): This book was written to make learning introductory algebraic geometry as easy as possible. It is designed for the general first- and second-year graduate student, as well as for the nonspecialist| the only prerequisites are a one-year course in algebra and a little complex analysis. - [Elemental Methods in Ergodic Ramsey Theory](https://online.neatra.in/product/elemental-methods-in-ergodic-ramsey-theory/): This book, suitable for graduate students and professional mathematicians alike, didactically introduces methodologies due to Furstenberg and others for attacking problems in chromatic and density Ramsey theory via recurrence in topological dynamics and ergodic theory, respectively. Many standard results are proved, including the classical theorems of van der Waerden, Hindman, and Szemerédi. - [Electronic Information and Communication in Mathematics: ICM 2002 International Satellite Conference, Beijing, China, August 29-31, 2002, Revised Papers](https://online.neatra.in/product/electronic-information-and-communication-in-mathematics-icm-2002-international-satellite-conference-beijing-china-august-29-31-2002-revised-papers/): Includes supplementary material: sn.pub/extras - [Electricity Derivatives](https://online.neatra.in/product/electricity-derivatives/): Offering a concise but complete survey of the common features of the microstructure of electricity markets, this book describes the state of the art in the different proposed electricity price models for pricing derivatives and in the numerical methods used to price and hedge the most prominent derivatives in electricity markets, namely power plants and swings. - [Eisensteinkohomologie und die Konstruktion gemischter Motive](https://online.neatra.in/product/eisensteinkohomologie-und-die-konstruktion-gemischter-motive/) - [Eigenvalues, Embeddings and Generalised Trigonometric Functions](https://online.neatra.in/product/eigenvalues-embeddings-and-generalised-trigonometric-functions/): Review of recent developments in approximation theory for Hardy-type operators and Sobolev embeddings (description of the exact values of s-numbers and widths) A special chapter devoted to the theory of generalized trigonometric functions (presented for the first time in a book) Description of connections between optimal approximations, eigenvalues for the p-Laplacian and generalized trigonometric functions Includes supplementary material: sn.pub/extras - [Eigenfunction Branches of Nonlinear Operators, and their Bifurcations](https://online.neatra.in/product/eigenfunction-branches-of-nonlinear-operators-and-their-bifurcations/) - [Efficient Quadrature Rules for Illumination Integrals: From Quasi Monte Carlo to Bayesian Monte Carlo](https://online.neatra.in/product/efficient-quadrature-rules-for-illumination-integrals-from-quasi-monte-carlo-to-bayesian-monte-carlo/): Rendering photorealistic images is a costly process which can take up to several days in the case of high quality images. In most cases, the task of sampling the incident radiance function to evaluate the illumination integral is responsible for an important share of the computation time. - [Fundamentals of Hopf Algebras](https://online.neatra.in/product/fundamentals-of-hopf-algebras/): This text aims to provide graduate students with a self-contained introduction to topics that are at the forefront of modern algebra, namely, coalgebras, bialgebras and Hopf algebras. The last chapter (Chapter 4) discusses several applications of Hopf algebras, some of which are further developed in the authorÂ’s 2011 publication, An Introduction to Hopf Algebras. - [Fundamentals of Functional Analysis](https://online.neatra.in/product/fundamentals-of-functional-analysis/): This book provides a unique path for graduate or advanced undergraduate students to begin studying the rich subject of functional analysis with fewer prerequisites than is normally required. - [Fundamentals and Advanced Techniques in Derivatives Hedging](https://online.neatra.in/product/fundamentals-and-advanced-techniques-in-derivatives-hedging/): Presents the various mathematical techniques used in mathematical finance in a single volume Treats both theoretical aspects and practical applications Includes a chapter on stochastic targets and risk-based pricing techniques - [Fundamental Mathematical Analysis](https://online.neatra.in/product/fundamental-mathematical-analysis/): Recognises and addresses student difficulties A selection of special topics (“nuggets”) sets it apart from existing texts Includes a large number of exercises with hints - [Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals and Functors on Categories of Banach Spaces](https://online.neatra.in/product/functors-and-categories-of-banach-spaces-tensor-products-operator-ideals-and-functors-on-categories-of-banach-spaces/) - [Functional-Analytic Methods for Partial Differential Equations: Proceedings of a Conference and a Symposium held in Tokyo, Japan, July 3-9, 1989](https://online.neatra.in/product/functional-analytic-methods-for-partial-differential-equations-proceedings-of-a-conference-and-a-symposium-held-in-tokyo-japan-july-3-9-1989/) - [Functional Differential Equations with Infinite Delay](https://online.neatra.in/product/functional-differential-equations-with-infinite-delay/): In the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space)| and diverse (duplicated) theories arise, according to the choice of phase space. To unify the theories, an axiomatic approach has been taken since the 1960's. - [Functional Differential Equations and Approximation of Fixed Points: Proceedings, Bonn, July 1978](https://online.neatra.in/product/functional-differential-equations-and-approximation-of-fixed-points-proceedings-bonn-july-1978/) - [Functional Analytic Methods for Evolution Equations](https://online.neatra.in/product/functional-analytic-methods-for-evolution-equations/): Includes supplementary material: sn.pub/extras - [Functional Analysis: Proceedings of the Seminar at the University of Texas at Austin, 1986-87](https://online.neatra.in/product/functional-analysis-proceedings-of-the-seminar-at-the-university-of-texas-at-austin-1986-87/): The articles in this volume are based on talks given in a seminar at Austin during 1986-87. They range from those dealing with fresh research and discoveries to exposition and new proofs of older results. - [Functional Analysis: Proceedings of the Seminar at the University of Texas at Austin 1987 - 89](https://online.neatra.in/product/functional-analysis-proceedings-of-the-seminar-at-the-university-of-texas-at-austin-1987-89/): The papers in this volume yield a variety of powerful tools for penetrating the structure of Banach spaces, including the following topics: the structure of Baire-class one functions with Banach space applications, operator extension problems, the structure of Banach lattices tensor products of operators and Banach spaces, Banach spaces of certain classes of Fourier series, uniformly stable Banach spaces, the hyperplane conjecture for convex bodies, and applications of probability theory to local Banach space structure. - [Functional Analysis: Proceedings of a Conference held at Dubrovnik, Yugoslavia, November 2-14, 1981](https://online.neatra.in/product/functional-analysis-proceedings-of-a-conference-held-at-dubrovnik-yugoslavia-november-2-14-1981/) - [Functional Analysis: An Introductory Course](https://online.neatra.in/product/functional-analysis-an-introductory-course/): Provides an elementary treatment of the subject that establishes the foundation for further study Enriches understanding of the theory with numerous examples and counterexamples Includes many exercises for readers to practice techniques Dissects proofs of difficult results into small steps to improve understanding Includes supplementary material: sn.pub/extras - [Functional Analysis, Holomorphy, and Approximation Theory: Proceedings of the Seminario de Analise Functional Holomorfia e Teoria da Aproximacao, Universidade Federal do Rio de Janeiro, Brazil, August 7-11, 1978](https://online.neatra.in/product/functional-analysis-holomorphy-and-approximation-theory-proceedings-of-the-seminario-de-analise-functional-holomorfia-e-teoria-da-aproximacao-universidade-federal-do-rio-de-janeiro-brazil-august/) - [Functional Analysis Methods in Numerical Analysis: Special Session, American Mathematical Society, St. Louis, Missouri, 1977](https://online.neatra.in/product/functional-analysis-methods-in-numerical-analysis-special-session-american-mathematical-society-st-louis-missouri-1977/) - [Functional Analysis in Markov Processes: Proceedings of the International Workshop Held at Katata, Japan, August 21-26, 1981 and of the International Conference Held at Kyoto, Japan, August 27-29, 1981](https://online.neatra.in/product/functional-analysis-in-markov-processes-proceedings-of-the-international-workshop-held-at-katata-japan-august-21-26-1981-and-of-the-international-conference-held-at-kyoto-japan-august-27-29-198/) - [Functional Analysis II](https://online.neatra.in/product/functional-analysis-ii/): This volume consists of a long monographic paper by J. Hoffmann-Jorgensen and a number of shorter research papers and survey articles covering different aspects of functional analysis and its application to probability theory and differential equations. - [Functional Analysis for the Applied Sciences](https://online.neatra.in/product/functional-analysis-for-the-applied-sciences/): Focuses on different problems in physics and other applied sciences Some of the exercises supplement theoretical material, while others relate to the real world Uniquely geared toward graduate students and researchers in applied mathematics, physics, and neighboring fields of science Presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications - [Functional Analysis and Related Topics, 1991: Proceedings of the International Conference in Memory of Professor Kosaku Yosida held at RIMS, Kyoto University, Japan, July 29 - Aug. 2, 1991](https://online.neatra.in/product/functional-analysis-and-related-topics-1991-proceedings-of-the-international-conference-in-memory-of-professor-kosaku-yosida-held-at-rims-kyoto-university-japan-july-29-aug-2-1991/) - [Functional Analysis and Operator Theory: Proceedings of a Conference held in Memory of U.N.Singh, New Delhi, India, 2-6 August, 1990](https://online.neatra.in/product/functional-analysis-and-operator-theory-proceedings-of-a-conference-held-in-memory-of-u-n-singh-new-delhi-india-2-6-august-1990/) - [Functional Analysis and its Applications: International Conference, Madras, 1973](https://online.neatra.in/product/functional-analysis-and-its-applications-international-conference-madras-1973/) - [Functional Analysis and Applications: Proceedings of the Symposium of Analysis, Recife, Pernambuco, Brasil, July 9 to 29, 1972](https://online.neatra.in/product/functional-analysis-and-applications-proceedings-of-the-symposium-of-analysis-recife-pernambuco-brasil-july-9-to-29-1972/) - [Function Theory on Manifolds Which Possess a Pole](https://online.neatra.in/product/function-theory-on-manifolds-which-possess-a-pole/) - [Function Theoretic Methods for Partial Differential Equations: Proceedings of the International Symposium Held at Darmstadt, Germany, 12-15 April 1976](https://online.neatra.in/product/function-theoretic-methods-for-partial-differential-equations-proceedings-of-the-international-symposium-held-at-darmstadt-germany-12-15-april-1976/) - [Function Spaces with Uniform, Fine and Graph Topologies](https://online.neatra.in/product/function-spaces-with-uniform-fine-and-graph-topologies/): This book presents a comprehensive account of the theory of spaces of continuous functions under uniform, fine and graph topologies. Besides giving full details of known results, an attempt is made to give generalizations wherever possible, enriching the existing literature. - [Function Spaces and Applications: Proceedings of the US-Swedish Seminar held in Lund, Sweden, June 15-21, 1986](https://online.neatra.in/product/function-spaces-and-applications-proceedings-of-the-us-swedish-seminar-held-in-lund-sweden-june-15-21-1986/): This seminar is a loose continuation of two previous conferences held in Lund (1982, 1983), mainly devoted to interpolation spaces, which resulted in the publication of the Lecture Notes in Mathematics Vol. 1070. This explains the bias towards that subject. - [Fully Nonlinear PDEs in Real and Complex Geometry and Optics: Cetraro, Italy 2012, Editors: Cristian E. Gutiérrez, Ermanno Lanconelli](https://online.neatra.in/product/fully-nonlinear-pdes-in-real-and-complex-geometry-and-optics-cetraro-italy-2012-editors-cristian-e-gutierrez-ermanno-lanconelli/): Includes supplementary material: sn.pub/extras - [From Real to Complex Analysis](https://online.neatra.in/product/from-real-to-complex-analysis/): Provides a self-contained course in real and complex analysis that links analysis and topology Approaches complex analysis through real analysis, with an overarching theme being the search for a primitive Emphasises various forms of homotopy, together with the winding number and its properties Includes supplementary material: sn.pub/extras - [From Ordinary to Partial Differential Equations](https://online.neatra.in/product/from-ordinary-to-partial-differential-equations/): This book is addressed to mathematics and physics students who want to develop an interdisciplinary view of mathematics, from the age of Riemann, Poincaré and Darboux to basic tools of modern mathematics. It enables them to acquire the sensibility necessary for the formulation and solution of difficult problems, with an emphasis on concepts, rigour and creativity. - [From Objects to Diagrams for Ranges of Functors](https://online.neatra.in/product/from-objects-to-diagrams-for-ranges-of-functors/): The book is centered on two statements: namely, CLL, and its main precursor, the Armature Lemma, which are results of category theory, with hard proofs, which appear here for the first time. Most of the book is aimed at applications outside category theory, and is thus written as a toolbox. The results of the book illustrate how certain representation problems have counterexamples of different cardinalities such as aleph zero, one, two, and explain why. CLL and the Armature Lemma have a wide application range, which we illustrate with examples in lattice theory, universal algebra, and ring theory. We also give pointers to solutions, made possible by our results, to previously intractable representation problems, with respect to various functors. - [From Natural Numbers to Quaternions](https://online.neatra.in/product/from-natural-numbers-to-quaternions/): Provides a self-contained introduction to the construction of integers, rationals, reals, complex numbers and Hamilton's quaternions Develops the basic prerequisites in group and ring theory as well as elementary number theory Contains appendices to each chapter highlighting the ubiquity of the material Includes more than 100 exercises with solutions Includes supplementary material: sn.pub/extras - [From Lévy-Type Processes to Parabolic SPDEs](https://online.neatra.in/product/from-levy-type-processes-to-parabolic-spdes/): Studies invariance and comparison principles for parabolic SPDEs in a very general framework beyond the classical setting Presents an extensive introduction to Lévy processes, including the different constructions Provides properties of Feller processes as space inhomogeneous processes that behave locally like Lévy processes - [From Hahn-Banach to Monotonicity](https://online.neatra.in/product/from-hahn-banach-to-monotonicity/): Includes supplementary material: sn.pub/extras - [From Groups to Categorial Algebra](https://online.neatra.in/product/from-groups-to-categorial-algebra/): This book gives a thorough and entirely self-contained, in-depth introduction to a specific approach to group theory, in a large sense of that word. The focus lie on the relationships which a group may have with other groups, via “universal properties”, a view on that group “from the outside”. - [From Domination to Coloring: Stephen Hedetniemi's Graph Theory and Beyond](https://online.neatra.in/product/from-domination-to-coloring-stephen-hedetniemis-graph-theory-and-beyond/): This book is in honor of the 80th birthday of Stephen Hedetniemi. It describes advanced material in graph theory in the areas of domination, coloring, spanning cycles and circuits, and distance that grew out of research topics investigated by Stephen Hedetniemi. - [From Divergent Power Series to Analytic Functions: Theory and Application of Multisummable Power Series](https://online.neatra.in/product/from-divergent-power-series-to-analytic-functions-theory-and-application-of-multisummable-power-series/): Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummabi- lity, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. - [From Approximate Variation to Pointwise Selection Principles](https://online.neatra.in/product/from-approximate-variation-to-pointwise-selection-principles/): The book addresses the minimization of special lower semicontinuous functionals over closed balls in metric spaces, called the approximate variation. The new notion of approximate variation contains more information about the bounded variation functional and has the following features: the infimum in the definition of approximate variation is not attained in general and the total Jordan variation of a function is obtained by a limiting procedure as a parameter tends to zero. - [Frobenius Distributions in GL2-Extensions: Distribution of Frobenius Automorphisms in GL2-Extensions of the Rational Numbers](https://online.neatra.in/product/frobenius-distributions-in-gl2-extensions-distribution-of-frobenius-automorphisms-in-gl2-extensions-of-the-rational-numbers/) - [Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations](https://online.neatra.in/product/frobenius-and-separable-functors-for-generalized-module-categories-and-nonlinear-equations/): Includes supplementary material: sn.pub/extras - [Free Boundary Problems](https://online.neatra.in/product/free-boundary-problems/): This book is concerned with several elliptic and parabolic obstacle-type problems with a focus on the cases where the free and fixed boundaries meet. The results presented complement those found in existing books in the subject, which mainly treat regularity properties away from the fixed boundary. - [Fredholm and Local Spectral Theory II: With Application to Weyl-type Theorems](https://online.neatra.in/product/fredholm-and-local-spectral-theory-ii-with-application-to-weyl-type-theorems/): This monograph concerns the relationship between the local spectral theory and Fredholm theory of bounded linear operators acting on Banach spaces. The purpose of this book is to provide a first general treatment of the theory of operators for which Weyl-type or Browder-type theorems hold. - [Fractional-in-Time Semilinear Parabolic Equations and Applications](https://online.neatra.in/product/fractional-in-time-semilinear-parabolic-equations-and-applications/): This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations. This class of equations is characterized by the presence of a nonlinear time-dependent source, generally of arbitrary growth in the unknown function, a time derivative in the sense of Caputo and the presence of a large class of diffusion operators. - [Fractional Calculus and Its Applications: Proceedings of the International Conference held at the University of New Haven, June 1974](https://online.neatra.in/product/fractional-calculus-and-its-applications-proceedings-of-the-international-conference-held-at-the-university-of-new-haven-june-1974/) - [Fractals and Hyperspaces](https://online.neatra.in/product/fractals-and-hyperspaces/): Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and nonstandard analysis, this book presents its subject in an original and accessible way complete with many figures. The first part of the book develops certain hyperspace theory concerning the Hausdorff metric and the Vietoris topology, as a foundation for what follows on self-similarity and fractality. - [Fractal Patterns with MATLAB](https://online.neatra.in/product/fractal-patterns-with-matlab/): This book presents the iterative beauty of fractals and fractal functions graphically with the aid of MATLAB programming. The fractal images generated using the MATLAB codes provide visual delight and highly encourage the fractal lovers for creative thinking. - [Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras](https://online.neatra.in/product/fourier-transforms-of-invariant-functions-on-finite-reductive-lie-algebras/): Includes supplementary material: sn.pub/extras - [Fourier Series: A Modern Introduction Volume 2](https://online.neatra.in/product/fourier-series-a-modern-introduction-volume-2/): appear in Volume 1, a Roman numeral "I" has been prefixed as a reminder to the reader| thus, for example, "I,B.2.1 " refers to Appendix B.2.1 in Volume 1. An understanding of the main topics discussed in this book does not, I hope, hinge upon repeated consultation of the items listed in the bibli­ ography. - [Fourier Integral Operators and Partial Differential Equations: Colloque International, Universite de Nice, 1974](https://online.neatra.in/product/fourier-integral-operators-and-partial-differential-equations-colloque-international-universite-de-nice-1974/) - [Fourier Coefficients of Automorphic Forms](https://online.neatra.in/product/fourier-coefficients-of-automorphic-forms/) - [Fourier Analysis and Stochastic Processes](https://online.neatra.in/product/fourier-analysis-and-stochastic-processes/): This work is unique as it provides a uniform treatment of the Fourier theories of functions (Fourier transforms and series, z-transforms), finite measures (characteristic functions, convergence in distribution), and stochastic processes (including arma series and point processes).It emphasises the links between these three themes. - [Foundations of the Theory of Klein Surfaces](https://online.neatra.in/product/foundations-of-the-theory-of-klein-surfaces/) - [Foundations of Special Relativity: Kinematic Axioms for Minkowski Space-Time](https://online.neatra.in/product/foundations-of-special-relativity-kinematic-axioms-for-minkowski-space-time/) - [Foundations of Quantization for Probability Distributions](https://online.neatra.in/product/foundations-of-quantization-for-probability-distributions/): Due to the rapidly increasing need for methods of data compression, quantization has become a flourishing field in signal and image processing and information theory. The same techniques are also used in statistics (cluster analysis), pattern recognition, and operations research (optimal location of service centers). - [Foundations of Grothendieck Duality for Diagrams of Schemes](https://online.neatra.in/product/foundations-of-grothendieck-duality-for-diagrams-of-schemes/): Includes supplementary material: sn.pub/extras - [Foundations of Fluid Mechanics with Applications: Problem Solving Using Mathematica®](https://online.neatra.in/product/foundations-of-fluid-mechanics-with-applications-problem-solving-using-mathematica/): This textbook presents the basic concepts and methods of fluid mechanics, including Lagrangian and Eulerian descriptions, tensors of stresses and strains, continuity, momentum, energy, thermodynamics laws, and similarity theory. The models and their solutions are presented within a context of the mechanics of multiphase media. - [Foundations of Discrete Harmonic Analysis](https://online.neatra.in/product/foundations-of-discrete-harmonic-analysis/): This book provides an introduction to discrete harmonic analysis (DHA) with a view towards applications to digital signal processing. In a nutshell, DHA is used to determine the time-frequency structure of a digitized signal, providing a representation of the signal as a sum of spectral components that can then be analyzed. - [Forward-Backward Stochastic Differential Equations and their Applications](https://online.neatra.in/product/forward-backward-stochastic-differential-equations-and-their-applications/): Includes supplementary material: sn.pub/extras - [Formally p-adic Fields](https://online.neatra.in/product/formally-p-adic-fields/) - [Formal Moduli of Algebraic Structures](https://online.neatra.in/product/formal-moduli-of-algebraic-structures/) - [Formal Groups](https://online.neatra.in/product/formal-groups/) - [Formal Category Theory : Adjointness for 2-Categories](https://online.neatra.in/product/formal-category-theory-adjointness-for-2-categories/) - [Formal Algorithmic Elimination for PDEs](https://online.neatra.in/product/formal-algorithmic-elimination-for-pdes/): Contains a detailed introduction to Janet bases and Thomas decomposition Develops solutions to many elimination problems for algebraic and differential systems Includes non-trivial applications to formal aspects of systems of partial differential equations Includes supplementary material: sn.pub/extras - [Forcing, Arithmetic, Division Rings](https://online.neatra.in/product/forcing-arithmetic-division-rings/) - [Fonctions de Plusieurs Variables Complexes: Séminaire François Norguet Octobre 1970 - Decembre 1973](https://online.neatra.in/product/fonctions-de-plusieurs-variables-complexes-seminaire-francois-norguet-octobre-1970-decembre-1973/) - [Fonctions de Plusieurs Variables Complexes III: Séminaire François Norguet Octobre 1975 - Juin 1977](https://online.neatra.in/product/fonctions-de-plusieurs-variables-complexes-iii-seminaire-francois-norguet-octobre-1975-juin-1977/) - [Foliated Bundles and Characteristic Classes](https://online.neatra.in/product/foliated-bundles-and-characteristic-classes/) - [Fluids Under Control: The 2021 Prague-Sum Workshop Lectures](https://online.neatra.in/product/fluids-under-control-the-2021-prague-sum-workshop-lectures/): This volume presents state-of-the-art developments in theoretical and applied fluid mechanics. Chapters are based on lectures given at a workshop in the summer school Fluids under Control, held in Prague on August 25, 2021. Readers will find a thorough analysis of current research topics, presented by leading experts in their respective fields. - [Fluid Dynamics and Linear Elasticity: A First Course in Continuum Mechanics](https://online.neatra.in/product/fluid-dynamics-and-linear-elasticity-a-first-course-in-continuum-mechanics/): Suitable for undergraduate courses in continuum mechanics or fluid dynamics Provides an introduction to nonlinear acoustics and theory of nonlinear wave propagation in gases Includes almost 80 exercises with solutions - [Fluctuations of Lévy Processes with Applications](https://online.neatra.in/product/fluctuations-of-levy-processes-with-applications/): Lévy processes are the natural continuous-time analogue of random walks and form a rich class of stochastic processes around which a robust mathematical theory exists. - [Fluctuation Theory for Lévy Processes: Ecole d'Eté de Probabilités de Saint-Flour XXXV - 2005](https://online.neatra.in/product/fluctuation-theory-for-levy-processes-ecole-dete-de-probabilites-de-saint-flour-xxxv-2005/): Includes supplementary material: sn.pub/extras - [Flows on 2-dimensional Manifolds: An Overview](https://online.neatra.in/product/flows-on-2-dimensional-manifolds-an-overview/): Includes supplementary material: sn.pub/extras - [Flexibility of Group Actions on the Circle](https://online.neatra.in/product/flexibility-of-group-actions-on-the-circle/): In this partly expository work, a framework is developed for building exotic circle actions of certain classical groups. The authors give general combination theorems for indiscrete isometry groups of hyperbolic space which apply to Fuchsian and limit groups. - [Flat Manifolds](https://online.neatra.in/product/flat-manifolds/) - [Flat Covers of Modules](https://online.neatra.in/product/flat-covers-of-modules/): Since the injective envelope and projective cover were defined by Eckmann and Bas in the 1960s, they have had great influence on the development of homological algebra, ring theory and module theory. In the 1980s, Enochs introduced the flat cover and conjectured that every module has such a cover over any ring. - [Fixed Rings of Finite Automorphism Groups of Associative Rings](https://online.neatra.in/product/fixed-rings-of-finite-automorphism-groups-of-associative-rings/) - [Fixed Point Theory: Proceedings of a Conference Held at Sherbrooke, Quebec, Canada, June 2-21, 1980](https://online.neatra.in/product/fixed-point-theory-proceedings-of-a-conference-held-at-sherbrooke-quebec-canada-june-2-21-1980/) - [Fixed Point Theory of Parametrized Equivariant Maps](https://online.neatra.in/product/fixed-point-theory-of-parametrized-equivariant-maps/): The first part of this research monograph discusses general properties of G-ENRBs - Euclidean Neighbourhood Retracts over B with action of a compact Lie group G - and their relations with fibrations, continuous submersions, and fibre bundles. It thus addresses equivariant point set topology as well as equivariant homotopy theory. - [Fixed Point Theorems and Applications](https://online.neatra.in/product/fixed-point-theorems-and-applications/): Employs a unitary approach to explore a key field of modern mathematics Discusses all relevant applications of the theory of fixed points in detail Although it covers advanced topics, is highly “user friendly” The only book of its kind in the current literature - [First-Passage Percolation on the Square Lattice](https://online.neatra.in/product/first-passage-percolation-on-the-square-lattice/) - [First Order Categorical Logic: Model-Theoretical Methods in the Theory of Topoi and Related Categories](https://online.neatra.in/product/first-order-categorical-logic-model-theoretical-methods-in-the-theory-of-topoi-and-related-categories/) - [First Order Algebraic Differential Equations: A Differential Algebraic Approach](https://online.neatra.in/product/first-order-algebraic-differential-equations-a-differential-algebraic-approach/) - [Finsler Metrics - A Global Approach: with Applications to Geometric Function Theory](https://online.neatra.in/product/finsler-metrics-a-global-approach-with-applications-to-geometric-function-theory/): Complex Finsler metrics appear naturally in complex analysis. To develop new tools in this area, the book provides a graduate-level introduction to differential geometry of complex Finsler metrics. - [Finiteness Properties of Arithmetic Groups Acting on Twin Buildings](https://online.neatra.in/product/finiteness-properties-of-arithmetic-groups-acting-on-twin-buildings/): Only reference for the secondary height function for reducible buildings Self-contained introduction to the study of finiteness properties of arithmetic groups Many illustrations - [Finitely Generated Abelian Groups and Similarity of Matrices over a Field](https://online.neatra.in/product/finitely-generated-abelian-groups-and-similarity-of-matrices-over-a-field/): The theory of finitely generated abelian groups is introduced in an understandable and concrete way The analogous theory of similarity of square matrices over a field, including the Jordan form, is explained step by step Manipulative techniques are stressed to get students ‘on boardÂ’ Includes supplementary material: sn.pub/extras - [Finite Translation Planes](https://online.neatra.in/product/finite-translation-planes/) - [Finite Rank Torsion Free Abelian Groups and Rings](https://online.neatra.in/product/finite-rank-torsion-free-abelian-groups-and-rings/) - [Finite Presentability of S-Arithmetic Groups. Compact Presentability of Solvable Groups](https://online.neatra.in/product/finite-presentability-of-s-arithmetic-groups-compact-presentability-of-solvable-groups/): The problem of determining which S-arithmetic groups have a finite presentation is solved for arbitrary linear algebraic groups over finite extension fields of #3. For certain solvable topological groups this problem may be reduced to an analogous problem, that of compact presentability. - [Finite Groups of Mapping Classes of Surfaces](https://online.neatra.in/product/finite-groups-of-mapping-classes-of-surfaces/) - [Finite Geometry and Character Theory](https://online.neatra.in/product/finite-geometry-and-character-theory/): Difference sets are of central interest in finite geometry and design theory. One of the main techniques to investigate abelian difference sets is a discrete version of the classical Fourier transform (i.e., character theory) in connection with algebraic number theory. - [Finite Element Approximation of the Navier-Stokes Equations](https://online.neatra.in/product/finite-element-approximation-of-the-navier-stokes-equations/) - [Finely Harmonic Functions](https://online.neatra.in/product/finely-harmonic-functions/) - [Fine Topology Methods in Real Analysis and Potential Theory](https://online.neatra.in/product/fine-topology-methods-in-real-analysis-and-potential-theory/) - [Financial Risk Management for Cryptocurrencies](https://online.neatra.in/product/financial-risk-management-for-cryptocurrencies/): This book explores the emerging field of risk management and risk analysis of cryptocurrencies, an area that has been generating considerable research. It begins by providing an introduction to digital finance and the concept of cryptocurrencies and blockchain technologies. - [Financial Mathematics: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Bressanone, Italy, July 8-13, 1996](https://online.neatra.in/product/financial-mathematics-lectures-given-at-the-3rd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-bressanone-italy-july-8-13-1996/): Financial Mathematics is an exciting, emerging field of application. The five sets of course notes in this book provide a bird's eye view of the current "state of the art" and directions of research. - [Financial Data Resampling for Machine Learning Based Trading](https://online.neatra.in/product/financial-data-resampling-for-machine-learning-based-trading/): This book presents a system that combines the expertise of four algorithms, namely Gradient Tree Boosting, Logistic Regression, Random Forest and Support Vector Classifier to trade with several cryptocurrencies. A new method for resampling financial data is presented as alternative to the classical time sampled data commonly used in financial market trading. - [Fields, Flows and Waves: An Introduction to Continuum Models](https://online.neatra.in/product/fields-flows-and-waves-an-introduction-to-continuum-models/): THE ONLY BOOK ON CONTINUA AT A BROAD, INTRODUCTORY LEVEL FOSTERS THE STUDENT'S DESIRE TO APPLY MATHEMATICS, WITHOUT ASSUMING A STRONG PHYSICS BACKGROUND SHOWS THE VERSATILITY OF STANDARD TECHNIQUES IN DESCRIBING MANY NATURALLY ARISING PHENOMENA - [Fields and Galois Theory](https://online.neatra.in/product/fields-and-galois-theory/): Modern and student-friendly introduction to this popular subject: it takes a more "natural" approach and develops the theory at a gentle pace with an emphasis on clear explanations Features plenty of worked examples and exercises, complete with full solutions, to encourage independent study Includes supplementary material: sn.pub/extras - [Fatou, Julia, Montel: The Great Prize of Mathematical Sciences of 1918, and Beyond](https://online.neatra.in/product/fatou-julia-montel-the-great-prize-of-mathematical-sciences-of-1918-and-beyond/): Includes supplementary material: sn.pub/extras - [Fast Start Integral Calculus](https://online.neatra.in/product/fast-start-integral-calculus/): This book introduces integrals, the fundamental theorem of calculus, initial value problems, and Riemann sums. It introduces properties of polynomials, including roots and multiplicity, and uses them as a framework for introducing additional calculus concepts including Newton's method, L'Hôpital's Rule, and Rolle's theorem. - [Fast Start Differential Calculus](https://online.neatra.in/product/fast-start-differential-calculus/): This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions. It introduces the derivative using the limit-based definition and covers the standard function library and the product, quotient, and chain rules. - [Geometry Seminar "Luigi Bianchi": Lectures Given at the Scuola Normale Superiore, 1982](https://online.neatra.in/product/geometry-seminar-luigi-bianchi-lectures-given-at-the-scuola-normale-superiore-1982/) - [Geometry Seminar "Luigi Bianchi" II - 1984: Lectures given at the Scuola Normale Superiore](https://online.neatra.in/product/geometry-seminar-luigi-bianchi-ii-1984-lectures-given-at-the-scuola-normale-superiore/) - [Geometry of the Unit Sphere in Polynomial Spaces](https://online.neatra.in/product/geometry-of-the-unit-sphere-in-polynomial-spaces/): This brief presents a global perspective on the geometry of spaces of polynomials. Its particular focus is on polynomial spaces of dimension 3, providing, in that case, a graphical representation of the unit ball. - [Geometry of the Plane Cremona Maps](https://online.neatra.in/product/geometry-of-the-plane-cremona-maps/): Includes supplementary material: sn.pub/extras - [Geometry of PDEs and Related Problems: Cetraro, Italy 2017](https://online.neatra.in/product/geometry-of-pdes-and-related-problems-cetraro-italy-2017/): The aim of this book is to present different aspects of the deep interplay between Partial Differential Equations and Geometry. It gives an overview of some of the themes of recent research in the field and their mutual links, describing the main underlying ideas, and providing up-to-date references. - [Geometry of Müntz Spaces and Related Questions](https://online.neatra.in/product/geometry-of-muntz-spaces-and-related-questions/): Includes supplementary material: sn.pub/extras - [Geometry of Manifolds with Non-negative Sectional Curvature: Editors: Rafael Herrera, Luis Hernández-Lamoneda](https://online.neatra.in/product/geometry-of-manifolds-with-non-negative-sectional-curvature-editors-rafael-herrera-luis-hernandez-lamoneda/): Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. - [Geometry of Linear Matrix Inequalities: A Course in Convexity and Real Algebraic Geometry with a View Towards Optimization](https://online.neatra.in/product/geometry-of-linear-matrix-inequalities-a-course-in-convexity-and-real-algebraic-geometry-with-a-view-towards-optimization/): This textbook provides a thorough introduction to spectrahedra, which are the solution sets to linear matrix inequalities, emerging in convex and polynomial optimization, analysis, combinatorics, and algebraic geometry. Including a wealth of examples and exercises, this textbook guides the reader in helping to determine the convex sets that can be represented and approximated as spectrahedra and their shadows (projections). - [Geometry of Holomorphic Mappings](https://online.neatra.in/product/geometry-of-holomorphic-mappings/): This monograph explores the problem of boundary regularity and analytic continuation of holomorphic mappings between domains in complex Euclidean spaces. - [Geometry of Banach Spaces - Selected Topics](https://online.neatra.in/product/geometry-of-banach-spaces-selected-topics/) - [Geometry and Topology: Proceedings of the Special Year held at the University of Maryland, College Park, 1983 - 1984](https://online.neatra.in/product/geometry-and-topology-proceedings-of-the-special-year-held-at-the-university-of-maryland-college-park-1983-1984/) - [Geometry and Topology: Proceedings of the School Held at the Instituto de Matematica Pura e Aplicada CNPq, Rio de Janeiro, July 1976](https://online.neatra.in/product/geometry-and-topology-proceedings-of-the-school-held-at-the-instituto-de-matematica-pura-e-aplicada-cnpq-rio-de-janeiro-july-1976/) - [Geometry and Probability in Banach Spaces](https://online.neatra.in/product/geometry-and-probability-in-banach-spaces/) - [Geometry and Nonlinear Analysis in Banach Spaces](https://online.neatra.in/product/geometry-and-nonlinear-analysis-in-banach-spaces/) - [Geometry and Differential Geometry: Proceedings of a Conference Held at the University of Haifa, Israel, March 18-23, 1979](https://online.neatra.in/product/geometry-and-differential-geometry-proceedings-of-a-conference-held-at-the-university-of-haifa-israel-march-18-23-1979/) - [Geometry and Analysis on Manifolds: Proceedings of the 21st International Taniguchi Symposium held at Katata, Japan, Aug. 23-29 and the Conference held at Kyoto, Aug. 31 - Sep. 2, 1987](https://online.neatra.in/product/geometry-and-analysis-on-manifolds-proceedings-of-the-21st-international-taniguchi-symposium-held-at-katata-japan-aug-23-29-and-the-conference-held-at-kyoto-aug-31-sep-2-1987/): The Taniguchi Symposium on global analysis on manifolds focused mainly on the relationships between some geometric structures of manifolds and analysis, especially spectral analysis on noncompact manifolds. Included in the present volume are expanded versions of most of the invited lectures. In these original research articles, the reader will find up-to date accounts of the subject. - [Geometry and Analysis of Metric Spaces via Weighted Partitions](https://online.neatra.in/product/geometry-and-analysis-of-metric-spaces-via-weighted-partitions/): Describes how a compact metric space may be associated with an infinite graph whose boundary is the original space Explores an approach to metrics and measures from an integrated point of view Shows a relation between geometry (Ahlfors regular conformal dimension) and analysis (critical index of p-energies) - [Geometry - Intuition and Concepts: Imagining, understanding, thinking beyond. An introduction for students](https://online.neatra.in/product/geometry-intuition-and-concepts-imagining-understanding-thinking-beyond-an-introduction-for-students/): This book deals with the geometry of visual space in all its aspects. As in any branch of mathematics, the aim is to trace the hidden to the obvious; the peculiarity of geometry is that the obvious is sometimes literally before one's eyes. - [Geometry](https://online.neatra.in/product/geometry/): Adopts a unique approach - the more difficult sections are set in smaller type so that the reader can return to them after their second or third reading Introduces applications to astronomy - [Geometries and Groups: Proceedings of a Colloquium Held at the Freie Universität Berlin, May 1981](https://online.neatra.in/product/geometries-and-groups-proceedings-of-a-colloquium-held-at-the-freie-universitat-berlin-may-1981/) - [Geometrie Differentielle: Colloque, Santiago de Compostela, Espagne](https://online.neatra.in/product/geometrie-differentielle-colloque-santiago-de-compostela-espagne/) - [Geometrie algebrique reelle et formes quadratiques: Journees S.M.F., Universite de Rennes 1, Mai 1981](https://online.neatra.in/product/geometrie-algebrique-reelle-et-formes-quadratiques-journees-s-m-f-universite-de-rennes-1-mai-1981/) - [Geometrical Themes Inspired by the N-body Problem](https://online.neatra.in/product/geometrical-themes-inspired-by-the-n-body-problem/): Perfectly suited for young researchers who want to become acquainted with this important field and its open problems Contains a very timely exposition of the state of the art on the subject, with an eye to both classical and very recent developments Exceptionally well written in a rigorous but also charming style - [Geometrical Aspects of Functional Analysis: Israel Seminar, 1985-86](https://online.neatra.in/product/geometrical-aspects-of-functional-analysis-israel-seminar-1985-86/): These are the proceedings of the Israel Seminar on the Geometric Aspects of Functional Analysis (GAFA) which was held between October 1985 and June 1986. The main emphasis of the seminar was on the study of the geometry of Banach spaces and in particular the study of convex sets in and infinite-dimensional spaces. - [Geometrical Approaches to Differential Equations: Proceedings of the Fourth Scheveningen Conference on Differential Equations, The Netherlands, August 26-31, 1979](https://online.neatra.in/product/geometrical-approaches-to-differential-equations-proceedings-of-the-fourth-scheveningen-conference-on-differential-equations-the-netherlands-august-26-31-1979/) - [Geometrical and Statistical Aspects of Probability in Banach Spaces: Actes des Journees SMF de Calcul des Probabilites dans les Espaces de Banach, organisees a Strasbourg les 19 et 20 Juin 1985](https://online.neatra.in/product/geometrical-and-statistical-aspects-of-probability-in-banach-spaces-actes-des-journees-smf-de-calcul-des-probabilites-dans-les-espaces-de-banach-organisees-a-strasbourg-les-19-et-20-juin-1985/) - [Geometric, Control and Numerical Aspects of Nonholonomic Systems](https://online.neatra.in/product/geometric-control-and-numerical-aspects-of-nonholonomic-systems/): Includes supplementary material: sn.pub/extras - [Geometric Topology: Recent Developments: Lectures given on the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Monteca- tini Terme, Italy, June 4-12, 1990](https://online.neatra.in/product/geometric-topology-recent-developments-lectures-given-on-the-1st-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-at-monteca-tini-terme-italy-june-4-12-1990/) - [Geometric Topology: Proceedings of the Geometric Topology Conference held at Park City Utah, February 19-22, 1974](https://online.neatra.in/product/geometric-topology-proceedings-of-the-geometric-topology-conference-held-at-park-city-utah-february-19-22-1974/) - [Geometric Topology in Dimensions 2 and 3](https://online.neatra.in/product/geometric-topology-in-dimensions-2-and-3/): Geometric topology may roughly be described as the branch of the topology of manifolds which deals with questions of the existence of homeomorphisms. - [Geometric Topology and Shape Theory: Proceedings of a Conference held in Dubrovnik, Yugoslavia, September 29 - October 10, 1986](https://online.neatra.in/product/geometric-topology-and-shape-theory-proceedings-of-a-conference-held-in-dubrovnik-yugoslavia-september-29-october-10-1986/): The aim of this international conference the third of its type was to survey recent developments in Geometric Topology and Shape Theory with an emphasis on their interaction. The volume contains original research papers and carefully selected survey of currently active areas. - [Geometric Theory of Semilinear Parabolic Equations](https://online.neatra.in/product/geometric-theory-of-semilinear-parabolic-equations/) - [Geometric Theory of Discrete Nonautonomous Dynamical Systems](https://online.neatra.in/product/geometric-theory-of-discrete-nonautonomous-dynamical-systems/): Comprehensive approach to discrete dynamical systems Applications to numerical discretizations Extensive invariant manifold theory Includes supplementary material: sn.pub/extras - [Geometric Theory of Algebraic Space Curves](https://online.neatra.in/product/geometric-theory-of-algebraic-space-curves/) - [Geometric Techniques in Gauge Theories: Proceedings of the Fifth Scheveningen Conference on Differential Equations, The Netherlands, August 23-28, 1981](https://online.neatra.in/product/geometric-techniques-in-gauge-theories-proceedings-of-the-fifth-scheveningen-conference-on-differential-equations-the-netherlands-august-23-28-1981/) - [Geometric Singular Perturbation Theory Beyond the Standard Form](https://online.neatra.in/product/geometric-singular-perturbation-theory-beyond-the-standard-form/): First of its kind to discuss geometric singular perturbation theory in a coordinate-independent setting Serves as an accessible entry point into the study of multiple time-scale dynamical systems Covers motivating examples from biochemistry, electronic circuits and mechanic oscillators and advection-reaction-diffusion problems - [Geometric Representation Theory and Gauge Theory](https://online.neatra.in/product/geometric-representation-theory-and-gauge-theory/): Provides an update on the current state of research in some key areas of geometric representation theory and gauge theory Features lectures authored by leading researchers in the area Each lecture is self-contained - [Geometric Properties of Banach Spaces and Nonlinear Iterations](https://online.neatra.in/product/geometric-properties-of-banach-spaces-and-nonlinear-iterations/): Self-contained, with detailed motivations, explanations and examples In-depth, comprehensive and up-to-date coverage Contains interesting, important and reasonable open problems Summaries of key inequalities and theorems for easy reference Includes supplementary material: sn.pub/extras - [Geometric Multiplication of Vectors: An Introduction to Geometric Algebra in Physics](https://online.neatra.in/product/geometric-multiplication-of-vectors-an-introduction-to-geometric-algebra-in-physics/): An excellent starting point for beginners in the field An advanced high school student can learn basic concepts from the book Gradual introduction of concepts with many figures and solved examples - [Geometric Methods in the Algebraic Theory of Quadratic Forms: Summer School, Lens, 2000](https://online.neatra.in/product/geometric-methods-in-the-algebraic-theory-of-quadratic-forms-summer-school-lens-2000/): Includes supplementary material: sn.pub/extras - [Geometric Methods in Degree Theory for Equivariant Maps](https://online.neatra.in/product/geometric-methods-in-degree-theory-for-equivariant-maps/): The book introduces conceptually simple geometric ideas based on the existence of fundamental domains for metric G- spaces. A list of the problems discussed includes Borsuk-Ulam type theorems for degrees of equivariant maps in finite and infinite dimensional cases, extensions of equivariant maps and equivariant homotopy classification, genus and G-category, elliptic boundary value problem, equivalence of p-group representations. - [Geometric Measure Theory and Free Boundary Problems](https://online.neatra.in/product/geometric-measure-theory-and-free-boundary-problems/): This volume covers contemporary aspects of geometric measure theory with a focus on applications to partial differential equations, free boundary problems and water waves. It is based on lectures given at the 2019 CIME summer school “Geometric Measure Theory and Applications – From Geometric Analysis to Free Boundary Problems” which took place in Cetraro, Italy, under the scientific direction of Matteo Focardi and Emanuele Spadaro. - [Geometric Invariant Theory: Over the Real and Complex Numbers](https://online.neatra.in/product/geometric-invariant-theory-over-the-real-and-complex-numbers/): Designed for non-mathematicians, physics students as well for example, who want to learn about this important area of mathematics Well organized and touches upon the main subjects, which offer a deeper understanding of the orbit structure of an algebraic group Painless presentation places the subject within reasonable reach for mathematics and physics student at the graduate level - [Geometric Invariant Theory, Holomorphic Vector Bundles and the Harder-Narasimhan Filtration](https://online.neatra.in/product/geometric-invariant-theory-holomorphic-vector-bundles-and-the-harder-narasimhan-filtration/): This book introduces key topics on Geometric Invariant Theory, a technique to obtaining quotients in algebraic geometry with a good set of properties, through various examples. It starts from the classical Hilbert classification of binary forms, advancing to the construction of the moduli space of semistable holomorphic vector bundles, and to HitchinÂ’s theory on Higgs bundles. - [Geometric Invariant Theory for Polarized Curves](https://online.neatra.in/product/geometric-invariant-theory-for-polarized-curves/): An introduction to the techniques of Geometric Invariant Theory via a detailed analysis of the GIT problem for polarized curves An introduction to the problem of compactifying moduli spaces through an interpretation of the output of the GIT analysis An introduction to the rich theory of compactified Jacobians for singular curves via three explicit examples A detailed description of the quotient stacks associated to the different GIT quotients, illustrating the interplay between these two techniques - [Geometric Group Theory: An Introduction](https://online.neatra.in/product/geometric-group-theory-an-introduction/): Features more than 250 exercises of varying difficulty including programming tasks Introduces the key notions from quasi-geometry, such as growth, hyperbolicity, boundary constructions and amenability Assumes only a basic background in group theory, metric spaces and point-set topology - [Geometric Functional Analysis and its Applications](https://online.neatra.in/product/geometric-functional-analysis-and-its-applications/): This book has evolved from my experience over the past decade in teaching and doing research in functional analysis and certain of its appli­ cations. These applications are to optimization theory in general and to best approximation theory in particular. - [Geometric Dynamics: Proceedings of the International Symposium, held at the Instituto de Matematica Pura e Aplicada, Rio de Janeiro, Brasil, July - August 1981](https://online.neatra.in/product/geometric-dynamics-proceedings-of-the-international-symposium-held-at-the-instituto-de-matematica-pura-e-aplicada-rio-de-janeiro-brasil-july-august-1981/) - [Geometric Curve Evolution and Image Processing](https://online.neatra.in/product/geometric-curve-evolution-and-image-processing/): Includes supplementary material: sn.pub/extras - [Geometric Continuity of Curves and Surfaces](https://online.neatra.in/product/geometric-continuity-of-curves-and-surfaces/): This book is written for students, CAD system users and software developers who are interested in geometric continuity—a notion needed in everyday practice of Computer-Aided Design and also a hot subject of research. It contains a description of the classical geometric spline curves and a solid theoretical basis for various constructions of smooth surfaces. - [Geometric Aspects of Functional Analysis: Israel Seminar 2006–2010](https://online.neatra.in/product/geometric-aspects-of-functional-analysis-israel-seminar-2006a-2010/): This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research. - [Geometric Aspects of Functional Analysis: Israel Seminar 2004-2005](https://online.neatra.in/product/geometric-aspects-of-functional-analysis-israel-seminar-2004-2005/): Includes supplementary material: sn.pub/extras - [Geometric Aspects of Functional Analysis: Israel Seminar 2002-2003](https://online.neatra.in/product/geometric-aspects-of-functional-analysis-israel-seminar-2002-2003/): Includes supplementary material: sn.pub/extras - [Geometric Aspects of Functional Analysis: Israel Seminar 2001-2002](https://online.neatra.in/product/geometric-aspects-of-functional-analysis-israel-seminar-2001-2002/): Includes supplementary material: sn.pub/extras - [Geometric Aspects of Functional Analysis: Israel Seminar 1996-2000](https://online.neatra.in/product/geometric-aspects-of-functional-analysis-israel-seminar-1996-2000/): This volume of original research papers from the Israeli GAFA seminar during the years 1996-2000 not only reports on more traditional directions of Geometric Functional Analysis, but also reflects on some of the recent new trends in Banach Space Theory and related topics. These include the tighter connection with convexity and the resulting added emphasis on convex bodies that are not necessarily centrally symmetric, and the treatment of bodies which have only very weak convex-like structure. - [Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2020-2022](https://online.neatra.in/product/geometric-aspects-of-functional-analysis-israel-seminar-gafa-2020-2022/): Features an interdisciplinary mix of harmonic analysis, computational geometry, optimization & learning algorithms Includes a unique combination of papers on convex geometry and high-dimensional analysis Presents the state-of-the-art in asymptotic geometric analysis - [Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 Volume I](https://online.neatra.in/product/geometric-aspects-of-functional-analysis-israel-seminar-gafa-2017-2019-volume-i/): Features a unique mixture of papers on convex geometry and high-dimensional analysis Describes state-of-the-art progress in asymptotic geometric analysis Written from an interdisciplinary perspective, relations to differential geometry, information theory and computer science are included - [Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 Volume II](https://online.neatra.in/product/geometric-aspects-of-functional-analysis-israel-seminar-gafa-2017-2019-volume-ii/): Features a unique mixture of papers on convex geometry and high-dimensional analysis Describes state-of-the-art progress in asymptotic geometric analysis Written from an interdisciplinary perspective, relations to differential geometry, information theory and computer science are included - [Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2014–2016](https://online.neatra.in/product/geometric-aspects-of-functional-analysis-israel-seminar-gafa-2014a-2016/): As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower-dimensional structures in high-dimensional objects. - [Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2011-2013](https://online.neatra.in/product/geometric-aspects-of-functional-analysis-israel-seminar-gafa-2011-2013/): Includes supplementary material: sn.pub/extras - [Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 1989-90](https://online.neatra.in/product/geometric-aspects-of-functional-analysis-israel-seminar-gafa-1989-90/): The scope of the Israel seminar in geometric aspects of functional analysis during the academic year 89/90 was particularly wide covering topics as diverse as: Dynamical systems, Quantum chaos, Convex sets in Rn, Harmonic analysis and Banach space theory. The large majority of the papers are original research papers. - [Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 1987-88](https://online.neatra.in/product/geometric-aspects-of-functional-analysis-israel-seminar-gafa-1987-88/) - [Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 1986-87](https://online.neatra.in/product/geometric-aspects-of-functional-analysis-israel-seminar-gafa-1986-87/): This is the third published volume of the proceedings of the Israel Seminar on Geometric Aspects of Functional Analysis. The large majority of the papers in this volume are original research papers - [Geometric Aspects of Convex Sets with the Radon-Nikodym Property](https://online.neatra.in/product/geometric-aspects-of-convex-sets-with-the-radon-nikodym-property/) - [Geometric Applications of Homotopy Theory II: Proceedings, Evanston, March 21 - 26, 1977](https://online.neatra.in/product/geometric-applications-of-homotopy-theory-ii-proceedings-evanston-march-21-26-1977/) - [Geometric Applications of Homotopy Theory I: Proceedings, Evanston, March 21 - 26, 1977](https://online.neatra.in/product/geometric-applications-of-homotopy-theory-i-proceedings-evanston-march-21-26-1977/) - [Geometric Analysis: Cetraro, Italy 2018](https://online.neatra.in/product/geometric-analysis-cetraro-italy-2018/): The CIME Summer Schools have been held since 1954, and the lecture notes are highly regarded in the mathematical community Provides a broad overview of recent developments in geometric analysis Based on courses taught by eminent researchers, these lecture notes often become standard references - [Geometric Analysis on Real Analytic Manifolds](https://online.neatra.in/product/geometric-analysis-on-real-analytic-manifolds/): First comprehensive treatment of real analytic functional analysis with emphasis on differential geometry Includes many separately interesting geometric techniques for geometric analysis on manifolds, for other regularity With full detailed proofs and application of techniques to new results about continuity of geometric operations - [Geometric Analysis of Quasilinear Inequalities on Complete Manifolds](https://online.neatra.in/product/geometric-analysis-of-quasilinear-inequalities-on-complete-manifolds/): This book demonstrates the influence of geometry on the qualitative behaviour of solutions of quasilinear PDEs on Riemannian manifolds. Motivated by examples arising, among others, from the theory of submanifolds, the authors study classes of coercive elliptic differential inequalities on domains of a manifold M with very general nonlinearities depending on the variable x, on the solution u and on its gradient. - [Geometric Analysis and PDEs: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 11-16, 2007](https://online.neatra.in/product/geometric-analysis-and-pdes-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-june-11-16-2007/): Includes supplementary material: sn.pub/extras - [Gentzen's Centenary: The Quest for Consistency](https://online.neatra.in/product/gentzens-centenary-the-quest-for-consistency/): Gerhard Gentzen has been described as logicÂ’s lost genius, whom Gödel called a better logician than himself. This work comprises articles by leading proof theorists, attesting to GentzenÂ’s enduring legacy to mathematical logic and beyond. - [Generic Local Structure of the Morphisms in Commutative Algebra](https://online.neatra.in/product/generic-local-structure-of-the-morphisms-in-commutative-algebra/) - [Generic Coarse Geometry of Leaves](https://online.neatra.in/product/generic-coarse-geometry-of-leaves/): This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated space and describes the cases where the generic leaves have the same quasi-isometric invariants. Every leaf of a compact foliated space has an induced coarse quasi-isometry type, represented by the coarse metric defined by the length of plaque chains given by any finite foliated atlas. - [Generalized Symmetric Spaces](https://online.neatra.in/product/generalized-symmetric-spaces/) - [Generalized Stochastic Processes: Modelling and Applications of Noise Processes](https://online.neatra.in/product/generalized-stochastic-processes-modelling-and-applications-of-noise-processes/): Compact introduction to generalized stochastic processes Excellent guide to noise modelling Provides the basis to build effective noise models Includes well-chosen set of problems and solutions - [Generalized Multiresolution Analyses](https://online.neatra.in/product/generalized-multiresolution-analyses/): This monograph presents the first unified exposition of generalized multiresolution analyses. Expanding on the authorÂ’s pioneering work in the field, these lecture notes provide the tools and framework for using GMRAs to extend results from classical wavelet analysis to a more general setting. - [Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences](https://online.neatra.in/product/generalized-hypergeometric-functions-with-applications-in-statistics-and-physical-sciences/) - [Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces](https://online.neatra.in/product/generalized-heisenberg-groups-and-damek-ricci-harmonic-spaces/): Generalized Heisenberg groups, or H-type groups, introduced by A. Kaplan, and Damek-Ricci harmonic spaces are particularly nice Lie groups with a vast spectrum of properties and applications. These harmonic spaces are homogeneous Hadamard manifolds containing the H-type groups as horospheres. - [Generalized Connectivity of Graphs](https://online.neatra.in/product/generalized-connectivity-of-graphs/): Noteworthy results, proof techniques, open problems and conjectures in generalized (edge-) connectivity are discussed in this book. Both theoretical and practical analyses for generalized (edge-) connectivity of graphs are provided. - [Generalized Bessel Functions of the First Kind](https://online.neatra.in/product/generalized-bessel-functions-of-the-first-kind/): This book includes a systematic description of various Bessel functions of the first kind It contains a special chapter on geometric properties of generalized Bessel functions of the first kind A large number of functional inequalities involving Bessel and hypergeometric functions are collected Includes supplementary material: sn.pub/extras - [Generalized B*-Algebras and Applications](https://online.neatra.in/product/generalized-b-algebras-and-applications/): This book reviews the theory of 'generalized B*-algebras' (GB*-algebras), a class of complete locally convex *-algebras which includes all C*-algebras and some of their extensions. - [Generalized Analytic Functions on Riemann Surfaces](https://online.neatra.in/product/generalized-analytic-functions-on-riemann-surfaces/) - [General Video Game Artificial Intelligence](https://online.neatra.in/product/general-video-game-artificial-intelligence/): Research on general video game playing aims at designing agents or content generators that can perform well in multiple video games, possibly without knowing the game in advance and with little to no specific domain knowledge. - [General Topology and Its Relations to Modern Analysis and Algebra IV: Proceedings of the Fourth Prague Topological Symposium, 1976. Part A: Invited Papers](https://online.neatra.in/product/general-topology-and-its-relations-to-modern-analysis-and-algebra-iv-proceedings-of-the-fourth-prague-topological-symposium-1976-part-a-invited-papers/) - [General Relativity for Mathematicians](https://online.neatra.in/product/general-relativity-for-mathematicians/): This is a book about physics, written for mathematicians. - [Gelfand Triples and Their Hecke Algebras: Harmonic Analysis for Multiplicity-Free Induced Representations of Finite Groups](https://online.neatra.in/product/gelfand-triples-and-their-hecke-algebras-harmonic-analysis-for-multiplicity-free-induced-representations-of-finite-groups/): This is the first book on an essentially new subject. It will serve as a reference for future developments. The treatment is self-contained and therefore accessible to a wide audience. All arguments are presented in full generality. Includes two new highly nontrivial and significant examples which are analyzed in full detail. - [Gaussian Measures in Finite and Infinite Dimensions](https://online.neatra.in/product/gaussian-measures-in-finite-and-infinite-dimensions/): This text provides a concise introduction, suitable for a one-semester special topicscourse, to the remarkable properties of Gaussian measures on both finite and infinitedimensional spaces. It begins with a brief resumé of probabilistic results in which Fourieranalysis plays an essential role, and those results are then applied to derive a few basicfacts about Gaussian measures on finite dimensional spaces. - [Gaussian Measures in Banach Spaces](https://online.neatra.in/product/gaussian-measures-in-banach-spaces/) - [Gaussian Capacity Analysis](https://online.neatra.in/product/gaussian-capacity-analysis/): The first book presenting a systematic study of the Sovolev/BV capacity theory in the Gaussian setting Provides fundamental material for a cross-disciplinary field Provides interesting applications in the geometry of Gaussian space - [Gauss Sums and p-adic Division Algebras](https://online.neatra.in/product/gauss-sums-and-p-adic-division-algebras/) - [Gap-Sheaves and Extension of Coherent Analytic Subsheaves](https://online.neatra.in/product/gap-sheaves-and-extension-of-coherent-analytic-subsheaves/) - [Game Theory: Decisions, Interaction and Evolution](https://online.neatra.in/product/game-theory-decisions-interaction-and-evolution/): Provides three books in one: it covers the basic ideas of decision theory, classical game theory| and evolutionary game theory in one volume No background knowledge of economics or biology is required: examples have been carefully selected to be accessible to readers unfamiliar with these subjects Detailed solutions to the numerous exercises are provided at the back of the book, making it ideal for self-study - [Game Theory](https://online.neatra.in/product/game-theory/): This book is a formalization of collected notes from an introductory game theory course taught at Queen's University. The course introduced traditional game theory and its formal analysis, but also moved to more modern approaches to game theory, providing a broad introduction to the current state of the discipline. - [Galois Theory Through Exercises](https://online.neatra.in/product/galois-theory-through-exercises/): This textbook offers a unique introduction to classical Galois theory through many concrete examples and exercises of varying difficulty (including computer-assisted exercises). - [Galois Theory of Difference Equations](https://online.neatra.in/product/galois-theory-of-difference-equations/): This book lays the algebraic foundations of a Galois theory of linear difference equations and shows its relationship to the analytic problem of finding meromorphic functions asymptotic to formal solutions of difference equations. Classically, this latter question was attacked by Birkhoff and Tritzinsky and the present work corrects and greatly generalizes their contributions. - [Galois Cohomology and Class Field Theory](https://online.neatra.in/product/galois-cohomology-and-class-field-theory/): First textbook offering a complete exposition of local and global class field theory as well as arithmetic duality theorems Provides the necessary background in Galois cohomology and homological algebra Includes an appendix on analytical methods - [Galerkin Finite Element Methods for Parabolic Problems](https://online.neatra.in/product/galerkin-finite-element-methods-for-parabolic-problems/) - [Fuzzy Differential Equations in Various Approaches](https://online.neatra.in/product/fuzzy-differential-equations-in-various-approaches/): This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. - [Further Linear Algebra](https://online.neatra.in/product/further-linear-algebra/): Follows on from "Basic Linear Algebra", one of SUMS' best-selling titles, to provide a textbook suitable for a second course in linear algebra Includes a wealth of worked examples and exercises Includes a brief introduction, in the style of a tutorial, to the use of MAPLE in dealing with numerical and algebraic problems - [Fundamentals of the Theory of Groups](https://online.neatra.in/product/fundamentals-of-the-theory-of-groups/): The present edition differs from the first in several places. In particular our treatment of polycyclic and locally polycyclic groups-the most natural generalizations of the classical concept of a finite soluble group-has been expanded. - [Hodge Cycles, Motives, and Shimura Varieties](https://online.neatra.in/product/hodge-cycles-motives-and-shimura-varieties/) - [Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups I](https://online.neatra.in/product/hochschild-cohomology-modular-tensor-categories-and-mapping-class-groups-i/): The book addresses a key question in topological field theory and logarithmic conformal field theory: In the case where the underlying modular category is not semisimple, topological field theory appears to suggest that mapping class groups do not only act on the spaces of chiral conformal blocks, which arise from the homomorphism functors in the category, but also act on the spaces that arise from the corresponding derived functors. - [Hilbert Space Operators: Proceedings, California State University Long Beach, Long Beach, California, 20-24 June, 1977](https://online.neatra.in/product/hilbert-space-operators-proceedings-california-state-university-long-beach-long-beach-california-20-24-june-1977/) - [Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties](https://online.neatra.in/product/hilbert-schemes-of-zero-dimensional-subschemes-of-smooth-varieties/): In this book we study Hilbert schemes of zero-dimensional subschemes of smooth varieties and several related parameter varieties of interest in enumerative geometry. The main aim here is to describe their cohomology and Chow rings. - [Higher Set Theory: Proceedings, Oberwolfach, Germany, April 13-23, 1977](https://online.neatra.in/product/higher-set-theory-proceedings-oberwolfach-germany-april-13-23-1977/) - [Higher Segal Spaces](https://online.neatra.in/product/higher-segal-spaces/): Initiates a theory of new categorical structures that generalize the simplicial Segal property to higher dimensions Explores many important constructions that exhibit the 2-Segal property Offers an entry point for readers new to the field by including an elementary formulation of 2-Segal spaces and numerous examples - [Higher Order Contact of Submanifolds of Homogeneous Spaces](https://online.neatra.in/product/higher-order-contact-of-submanifolds-of-homogeneous-spaces/) - [Higher Algebraic K-Theory: An Overview](https://online.neatra.in/product/higher-algebraic-k-theory-an-overview/): This book is a general introduction to Higher Algebraic K-groups of rings and algebraic varieties, which were first defined by Quillen at the beginning of the 70's. These K-groups happen to be useful in many different fields, including topology, algebraic geometry, algebra and number theory. - [Heterogeneous Spatial Data: Fusion, Modeling, and Analysis for GIS Applications](https://online.neatra.in/product/heterogeneous-spatial-data-fusion-modeling-and-analysis-for-gis-applications/): New data acquisition techniques are emerging and are providing fast and efficient means for multidimensional spatial data collection. Airborne LIDAR surveys, SAR satellites, stereo-photogrammetry and mobile mapping systems are increasingly used for the digital reconstruction of the environment. - [Heegner Modules and Elliptic Curves](https://online.neatra.in/product/heegner-modules-and-elliptic-curves/): Includes supplementary material: sn.pub/extras - [HeckeÂ’s L-functions: Spring, 1964](https://online.neatra.in/product/heckeas-l-functions-spring-1964/): Was typeset from lecture notes originally handwritten by Kenkichi Iwasawa for his course at Princeton University in 1964? Provides the details of Iwasawa's original method, unpublished until now, of the adelic approach to Hecke's L-functions Is an excellent textbook for studying to learn the analytic continuation and functional equation of Hecke's L-functions and the class number formula of Dedekind zeta functions - [Heat Kernel on Lie Groups and Maximally Symmetric Spaces](https://online.neatra.in/product/heat-kernel-on-lie-groups-and-maximally-symmetric-spaces/): This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces. It introduces many original ideas, methods, and tools developed by the author and provides a list of all known exact results in explicit form – and derives them – for the heat kernel on spheres and hyperbolic spaces. - [Health Insurance](https://online.neatra.in/product/health-insurance/): Health Insurance aims at filling a gap in actuarial literature, attempting to solve the frequent misunderstanding in regards to both the purpose and the contents of health insurance products (and ‘protection productsÂ’, more generally) on the one hand, and the relevant actuarial structures on the other. - [Harmonic Maps: Proceedings of the N.S.F.-C.B.M.S. Regional Conference, Held at Tulane University, New Orleans, December 15-19, 1980](https://online.neatra.in/product/harmonic-maps-proceedings-of-the-n-s-f-c-b-m-s-regional-conference-held-at-tulane-university-new-orleans-december-15-19-1980/) - [Harmonic Maps of Manifolds with Boundary](https://online.neatra.in/product/harmonic-maps-of-manifolds-with-boundary/) - [Harmonic Maps Between Surfaces: (With a Special Chapter on Conformal Mappings)](https://online.neatra.in/product/harmonic-maps-between-surfaces-with-a-special-chapter-on-conformal-mappings/) - [Harmonic Mappings and Minimal Immersion: Lectures given at the 1st 1984 Session of the Centro Internationale Matematico Estivo (C.I.M.E.) held at Montecatini, Italy, June 24-July 3, 1984](https://online.neatra.in/product/harmonic-mappings-and-minimal-immersion-lectures-given-at-the-1st-1984-session-of-the-centro-internationale-matematico-estivo-c-i-m-e-held-at-montecatini-italy-june-24-july-3-1984/) - [Harmonic Functions on Groups and Fourier Algebras](https://online.neatra.in/product/harmonic-functions-on-groups-and-fourier-algebras/): Includes supplementary material: sn.pub/extras - [Harmonic Analysis: Proceedings of the special program at the Nankai Institute of Mathematics, Tianjin, PR China, March-July, 1988](https://online.neatra.in/product/harmonic-analysis-proceedings-of-the-special-program-at-the-nankai-institute-of-mathematics-tianjin-pr-china-march-july-1988/) - [Harmonic Analysis: Proceedings of the International Symposium, held at the Centre Universitaire of Luxembourg, September 7-11, 1987](https://online.neatra.in/product/harmonic-analysis-proceedings-of-the-international-symposium-held-at-the-centre-universitaire-of-luxembourg-september-7-11-1987/) - [Harmonic Analysis: Proceedings of a Conference Held in Cortona, Italy, July 1-9, 1982](https://online.neatra.in/product/harmonic-analysis-proceedings-of-a-conference-held-in-cortona-italy-july-1-9-1982/) - [Harmonic Analysis: Proceedings of a Conference Held at the University of Minnesota, Minneapolis, April 20-30, 1981](https://online.neatra.in/product/harmonic-analysis-proceedings-of-a-conference-held-at-the-university-of-minnesota-minneapolis-april-20-30-1981/) - [Harmonic Analysis on Totally Disconnected Sets](https://online.neatra.in/product/harmonic-analysis-on-totally-disconnected-sets/) - [Harmonic Analysis on Spaces of Homogeneous Type](https://online.neatra.in/product/harmonic-analysis-on-spaces-of-homogeneous-type/): With a preface by Yves Meyer Includes supplementary material: sn.pub/extras - [Harmonic Analysis on Reductive p-adic Groups](https://online.neatra.in/product/harmonic-analysis-on-reductive-p-adic-groups/) - [Harmonic Analysis on Real Reductive Groups](https://online.neatra.in/product/harmonic-analysis-on-real-reductive-groups/) - [Harmonic Analysis on Compact Solvmanifolds](https://online.neatra.in/product/harmonic-analysis-on-compact-solvmanifolds/) - [Harmonic Analysis and Partial Differential Equations: Proceedings of the International Conference held in El Escorial, Spain, June 9-13, 1987](https://online.neatra.in/product/harmonic-analysis-and-partial-differential-equations-proceedings-of-the-international-conference-held-in-el-escorial-spain-june-9-13-1987/): The programme of the Conference at El Escorial included 4 main courses of 3-4 hours. Their content is reflected in the four survey papers in this volume (see above). Also included are the ten 45-minute lectures of a more specialized nature. - [Harmonic Analysis 1978: Proceedings of a Conference Held at the University of Crete, Iraklion, Greece, July 1978](https://online.neatra.in/product/harmonic-analysis-1978-proceedings-of-a-conference-held-at-the-university-of-crete-iraklion-greece-july-1978/) - [Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces](https://online.neatra.in/product/hardy-spaces-on-ahlfors-regular-quasi-metric-spaces/): Problems of the sort considered in the present monograph profoundly affect the nature of the results in many other adjacent areas of mathematics. Includes supplementary material: sn.pub/extras - [Hardy Classes on Riemann Surfaces](https://online.neatra.in/product/hardy-classes-on-riemann-surfaces/) - [Hardy Classes on Infinitely Connected Riemann Surfaces](https://online.neatra.in/product/hardy-classes-on-infinitely-connected-riemann-surfaces/) - [Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications: Cetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou](https://online.neatra.in/product/hamilton-jacobi-equations-approximations-numerical-analysis-and-applications-cetraro-italy-2011-editors-paola-loreti-nicoletta-anna-tchou/): It contains a quick and up to date introduction to viscosity solutions of Hamilton-Jacobi equations for graduate students or young researchers. Two approaches to large time behavior of periodic solutions of Hamilton-Jacobi Equations are given: PDE and weak KAM theory. Contributions on hot topics like for example numerical for mean field games should be of interest for many researchers Includes supplementary material: sn.pub/extras - [Hamiltonian Reduction by Stages](https://online.neatra.in/product/hamiltonian-reduction-by-stages/): Includes supplementary material: sn.pub/extras - [Hamiltonian Group Actions and Equivariant Cohomology](https://online.neatra.in/product/hamiltonian-group-actions-and-equivariant-cohomology/): Self-contained treatment of equivariant cohomology Treatment of moduli spaces of flat connections (a topic of considerable current interest) The only background required is a course on differential manifolds (a standard offering at the advanced undergraduate or introductory graduate level) - [Hamiltonian Dynamics - Theory and Applications: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-10, 1999](https://online.neatra.in/product/hamiltonian-dynamics-theory-and-applications-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-july-1-10-1999/): The aim is to describe the state of the art for some interesting problems, such as the Hamiltonian theory for infinite-dimensional Hamiltonian systems, including KAM theory, the recent extensions of the theory of adiabatic invariants, and the phenomena related to stability over exponentially long times of Nekhoroshev's theory. - [Hamiltonian and Lagrangian Flows on Center Manifolds: with Applications to Elliptic Variational Problems](https://online.neatra.in/product/hamiltonian-and-lagrangian-flows-on-center-manifolds-with-applications-to-elliptic-variational-problems/): The theory of center manifold reduction is studied in this monograph in the context of (infinite-dimensional) Hamil- tonian and Lagrangian systems. The aim is to establish a "natural reduction method" for Lagrangian systems to their center manifolds. - [Hadamard Matrices and Their Applications](https://online.neatra.in/product/hadamard-matrices-and-their-applications/) - [H Ring Spectra and Their Applications](https://online.neatra.in/product/h-ring-spectra-and-their-applications/) - [H -Control Theory: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Como, Italy, June 18-26, 1990](https://online.neatra.in/product/h-control-theory-lectures-given-at-the-2nd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-como-italy-june-18-26-1990/): The fundamental problem in control engineering is to provide robust performance to uncertain plants. H -control theory began in the early eighties as an attempt to lay down rigorous foundations on the classical robust control requirements. - [H - Spaces: Actes de la Reunion de Neuchatel (Suisse), Aout 1970](https://online.neatra.in/product/h-spaces-actes-de-la-reunion-de-neuchatel-suisse-aout-1970/) - [Guts of Surfaces and the Colored Jones Polynomial](https://online.neatra.in/product/guts-of-surfaces-and-the-colored-jones-polynomial/): Relates all central areas of modern 3-dimensional topology The first monograph which initiates a systematic study of relations between quantum and geometric topology Appeals to a broad audience of 3-dimensional topologists: combines tools from mainstream areas of 3-dimensional topology Includes supplementary material: sn.pub/extras - [Groups, Trees and Projective Modules](https://online.neatra.in/product/groups-trees-and-projective-modules/) - [Groups, Rings and Fields](https://online.neatra.in/product/groups-rings-and-fields/): INCLUDES NUMEROUS EXAMPLES AND EXERCISES (WITH SOLUTIONS) WHICH MAKE IT IDEAL FOR SELF-STUDY PROMOTES A FEELING FOR THE EVOLUTIONARY AND HISTORICAL DEVELOPMENT OF ALGEBRA Includes supplementary material: sn.pub/extras - [Groups of Self-Equivalences and Related Topics: Proceedings of a Conference held in Montreal, Canada, Aug. 8-12, 1988](https://online.neatra.in/product/groups-of-self-equivalences-and-related-topics-proceedings-of-a-conference-held-in-montreal-canada-aug-8-12-1988/): Since the subject of Groups of Self-Equivalences was first discussed in 1958 in a paper of Barcuss and Barratt, a good deal of progress has been achieved. This is reviewed in this volume, first by a long survey article and a presentation of 17 open problems together with a bibliography of the subject, and by a further 14 original research articles. - [Groups of Homotopy Classes: Rank formulas and homotopy-commutativity](https://online.neatra.in/product/groups-of-homotopy-classes-rank-formulas-and-homotopy-commutativity/) - [Groups of Cohomological Dimension One](https://online.neatra.in/product/groups-of-cohomological-dimension-one/) - [Groups of Automorphisms of Manifolds](https://online.neatra.in/product/groups-of-automorphisms-of-manifolds/) - [Groups and Symmetries](https://online.neatra.in/product/groups-and-symmetries/): Groups and Symmetries: From Finite Groups to Lie Groups presents an introduction to the theory of group representations and its applications in quantum mechanics. - [Groups and Representations](https://online.neatra.in/product/groups-and-representations/): The aim of this book is to provide a concise treatment of some topics from group theory and representation theory for a one term course. It focuses on the non-commutative side of the field emphasizing the general linear group as the most important group and example. - [Groups - Korea 1988: Proceedings of a Conference on Group Theory, held in Pusan, Korea, August 15-21, 1988](https://online.neatra.in/product/groups-korea-1988-proceedings-of-a-conference-on-group-theory-held-in-pusan-korea-august-15-21-1988/): These proceedings include selected and refereed original papers| most are research papers, a few are comprehensive survey articles. - [Groups - Korea 1983: Proceedings of a Conference on Combinatorial Group Theory held at Kyoungju, Korea, August 26-31, 1983](https://online.neatra.in/product/groups-korea-1983-proceedings-of-a-conference-on-combinatorial-group-theory-held-at-kyoungju-korea-august-26-31-1983/) - [Groups - Canberra 1989: Australian National University Group Theory Program 1989](https://online.neatra.in/product/groups-canberra-1989-australian-national-university-group-theory-program-1989/) - [Groupe de Brauer: Seminaire, Les Plans-sur-Bex, Suisse, 1980](https://online.neatra.in/product/groupe-de-brauer-seminaire-les-plans-sur-bex-suisse-1980/) - [Group Theory: Proceedings of a Miniconference Held at the Australian National University, Canberra, November 4-6, 1975](https://online.neatra.in/product/group-theory-proceedings-of-a-miniconference-held-at-the-australian-national-university-canberra-november-4-6-1975/) - [Group Theory: Proceedings of a Conference held at Brixen/Bressanone, Italy, May 25-31, 1986](https://online.neatra.in/product/group-theory-proceedings-of-a-conference-held-at-brixen-bressanone-italy-may-25-31-1986/) - [Group Theory: Beijing 1984. Proceedings of an International Symposium Held in Beijing, August 27 - September 8, 1984](https://online.neatra.in/product/group-theory-beijing-1984-proceedings-of-an-international-symposium-held-in-beijing-august-27-september-8-1984/) - [Group Theoretic Methods in Bifurcation Theory](https://online.neatra.in/product/group-theoretic-methods-in-bifurcation-theory/) - [Group Rings of Finite Groups Over p-adic Integers](https://online.neatra.in/product/group-rings-of-finite-groups-over-p-adic-integers/) - [Group Rings and Their Augmentation Ideals](https://online.neatra.in/product/group-rings-and-their-augmentation-ideals/) - [Group Representations: A Survey of Some Current Topics](https://online.neatra.in/product/group-representations-a-survey-of-some-current-topics/) - [Group Matrices, Group Determinants and Representation Theory: The Mathematical Legacy of Frobenius](https://online.neatra.in/product/group-matrices-group-determinants-and-representation-theory-the-mathematical-legacy-of-frobenius/): The simple tools described provide a new way of looking at group representation theory and its applications Offers an insight into the mind of one of the great mathematicians Much of the work described has not previously appeared in book form - [Group Extensions, Representations, and the Schur Multiplicator](https://online.neatra.in/product/group-extensions-representations-and-the-schur-multiplicator/) - [Group Actions and Vector Fields: Proceedings of a Polish-North American Seminar Held at the University of British Columbia, January 15 - February 15, 1981](https://online.neatra.in/product/group-actions-and-vector-fields-proceedings-of-a-polish-north-american-seminar-held-at-the-university-of-british-columbia-january-15-february-15-1981/) - [Ground States of Quantum Field Models](https://online.neatra.in/product/ground-states-of-quantum-field-models/): This book provides self-contained proofs of the existence of ground states of several interaction models in quantum field theory. Interaction models discussed here include the spin-boson model, the Nelson model with and without an ultraviolet cutoff, and the Pauli–Fierz model with and without dipole approximation in non-relativistic quantum electrodynamics. - [Grothendieck Duality and Base Change](https://online.neatra.in/product/grothendieck-duality-and-base-change/): Includes supplementary material: sn.pub/extras - [Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs](https://online.neatra.in/product/gromov-hausdorff-stability-of-dynamical-systems-and-applications-to-pdes/): This monograph presents new insights into the perturbation theory of dynamical systems based on the Gromov-Hausdorff distance. - [Gröbner Bases and the Computation of Group Cohomology](https://online.neatra.in/product/grobner-bases-and-the-computation-of-group-cohomology/): This monograph develops the Gröbner basis methods needed to perform efficient state-of- the-art calculations in the cohomology of finite groups. Results obtained include the first counterexample to the conjecture that the ideal of essential classes squares to zero. - [Green's Kernels and Meso-Scale Approximations in Perforated Domains](https://online.neatra.in/product/greens-kernels-and-meso-scale-approximations-in-perforated-domains/): Systematic step-by-step approach to asymptotic algorithms that enables the reader to develop an insight to compound asymptotic approximations Presents a novel, well-explained method of meso-scale approximations for bodies with non-periodic multiple perforations Contains illustrations and numerical examples for a range of physically realisable configurations Includes supplementary material: sn.pub/extras - [Green Functors and G-sets](https://online.neatra.in/product/green-functors-and-g-sets/): This book provides a definition of Green functors for a finite group G, and of modules over it, in terms of the category of finite G-sets. Some classical constructions, such as the associated categroy or algebra, have a natural interpretation in that framework. Many notions of ring theory can be extended to Green functors (opposite Green functor, bimodules, Morita theory, simple modules, centres,...). - [Grassmannians and Gauss Maps in Piecewise-Linear Topology](https://online.neatra.in/product/grassmannians-and-gauss-maps-in-piecewise-linear-topology/): The book explores the possibility of extending the notions of "Grassmannian" and "Gauss map" to the PL category. They are distinguished from "classifying space" and "classifying map" which are essentially homotopy-theoretic notions. - [Graphs on Surfaces: Dualities, Polynomials, and Knots](https://online.neatra.in/product/graphs-on-surfaces-dualities-polynomials-and-knots/): Examines the full generalization of duality for embedded graphs, and interactions of this duality with graph polynomials and knot polynomials that resulted from this research Illustrates the advantages of moving from plane and abstract graphs to graphs on surfaces Unifies various connections among dualities, graph polynomials, and knot polynomials Emphasizes the ways in which developments in knot theory lead to developments in graph theory, and vice versa, and take the reader to the forefront of research in this area Includes supplementary material: sn.pub/extras - [Graphs and Combinatorics: Proceedings of the Capital Conference on Graph Theory and Combinatorics at the George Washington University, June 18-22, 1973](https://online.neatra.in/product/graphs-and-combinatorics-proceedings-of-the-capital-conference-on-graph-theory-and-combinatorics-at-the-george-washington-university-june-18-22-1973/) - [Graph Theory: Proceedings of a Conference held in Lagow, Poland, February 10-13, 1981](https://online.neatra.in/product/graph-theory-proceedings-of-a-conference-held-in-lagow-poland-february-10-13-1981/) - [Graph Theory: An Introductory Course](https://online.neatra.in/product/graph-theory-an-introductory-course/): Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject. ... The book has chapters on electrical networks, flows, connectivity and matchings, extremal problems, colouring, Ramsey theory, random graphs, and graphs and groups. - [Graph Theory Singapore 1983: Proceedings of the First Southeast Asian Graph Theory Colloquium, Held in Singapore, May 10-28, 1983](https://online.neatra.in/product/graph-theory-singapore-1983-proceedings-of-the-first-southeast-asian-graph-theory-colloquium-held-in-singapore-may-10-28-1983/) - [Graph Theory and Applications: Proceedings of the Conference at Western Michigan University, May 10 - 13, 1972](https://online.neatra.in/product/graph-theory-and-applications-proceedings-of-the-conference-at-western-michigan-university-may-10-13-1972/) - [Graded Finite Element Methods for Elliptic Problems in Nonsmooth Domains](https://online.neatra.in/product/graded-finite-element-methods-for-elliptic-problems-in-nonsmooth-domains/): This book develops a class of graded finite element methods to solve singular elliptic boundary value problems in two- and three-dimensional domains. It provides an approachable and self-contained presentation of the topic, including both the mathematical theory and numerical tools necessary to address the major challenges imposed by the singular solution. - [Graded and Filtered Rings and Modules](https://online.neatra.in/product/graded-and-filtered-rings-and-modules/) - [Graceful, Harmonious and Magic Type Labelings: Relations and Techniques](https://online.neatra.in/product/graceful-harmonious-and-magic-type-labelings-relations-and-techniques/): Aimed toward upper undergraduate and graduate students in mathematics, this book examines the foremost forms of graph labelings including magic, harmonious, and graceful labelings. An overview of basic graph theory concepts and notation is provided along with the origins of graph labeling. - [GPU Ray Tracing in Non-Euclidean Spaces](https://online.neatra.in/product/gpu-ray-tracing-in-non-euclidean-spaces/): This book explores the visualization of three-dimensional non-Euclidean spaces using ray-tracing techniques in Graphics Processing Unit (GPU). This is a trending topic in mathematical visualization that combines the mathematics areas of geometry and topology, with visualization concepts of computer graphics. - [Gorenstein Dimensions](https://online.neatra.in/product/gorenstein-dimensions/): This book is intended as a reference for mathematicians working with homological dimensions in commutative algebra and as an introduction to Gorenstein dimensions for graduate students with an interest in the same. Any admirer of classics like the Auslander-Buchsbaum-Serre characterization of regular rings, and the Bass and Auslander-Buchsbaum formulas for injective and projective dimension of f.g. modules will be intrigued by this book's content. - [GoldbachÂ’s Problem: Selected Topics](https://online.neatra.in/product/goldbachas-problem-selected-topics/): Important results surrounding the proof of Goldbach's ternary conjecture are presented in this book. Beginning with an historical perspective along with an overview of essential lemmas and theorems, this monograph moves on to a detailed proof of Vinogradov's theorem. - [Global Solution Branches of Two Point Boundary Value Problems](https://online.neatra.in/product/global-solution-branches-of-two-point-boundary-value-problems/): The book deals with parameter dependent problems of the form u"+*f(u)=0 on an interval with homogeneous Dirichlet or Neuman boundary conditions. These problems have a family of solution curves in the (u,*)-space. - [Global Geometry and Mathematical Physics: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, July 4-12, 1988](https://online.neatra.in/product/global-geometry-and-mathematical-physics-lectures-given-at-the-2nd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-at-montecatini-terme-italy-july-4-12-1988/) - [Global Differential Geometry and Global Analysis: Proceedings of the Colloquium Held at the Technical University of Berlin, November 21-24, 1979](https://online.neatra.in/product/global-differential-geometry-and-global-analysis-proceedings-of-the-colloquium-held-at-the-technical-university-of-berlin-november-21-24-1979/) - [Global Differential Geometry and Global Analysis: Proceedings of a Conference held in Berlin, 15-20 June, 1990](https://online.neatra.in/product/global-differential-geometry-and-global-analysis-proceedings-of-a-conference-held-in-berlin-15-20-june-1990/) - [Global Differential Geometry and Global Analysis 1984: Proceedings of a Conference Held in Berlin, June 10-14, 1984](https://online.neatra.in/product/global-differential-geometry-and-global-analysis-1984-proceedings-of-a-conference-held-in-berlin-june-10-14-1984/) - [Global Differentiable Dynamics: Proceedings of the Conference, held at Case Western Reserve University, Cleveland, Ohio, June 2-6, 1969](https://online.neatra.in/product/global-differentiable-dynamics-proceedings-of-the-conference-held-at-case-western-reserve-university-cleveland-ohio-june-2-6-1969/) - [Global Bifurcation of Periodic Solutions with Symmetry](https://online.neatra.in/product/global-bifurcation-of-periodic-solutions-with-symmetry/): This largely self-contained research monograph addresses the following type of questions. Suppose one encounters a continuous time dynamical system with some built-in symmetry. Should one expect periodic motions which somehow reflect this symmetry? And how would periodicity harmonize with symmetry? Probing into these questions leads from dynamics to topology, algebra, singularity theory, and to many applications. - [Global Analysis: Proceedings of the Biennial Seminar of the Canadian Mathematical Congress, Calgary, Alberta, June 12-27, 1978](https://online.neatra.in/product/global-analysis-proceedings-of-the-biennial-seminar-of-the-canadian-mathematical-congress-calgary-alberta-june-12-27-1978/) - [Global Analysis. Studies and Applications III](https://online.neatra.in/product/global-analysis-studies-and-applications-iii/) - [Global Analysis. Studies and Applications II](https://online.neatra.in/product/global-analysis-studies-and-applications-ii/) - [Global Analysis. Studies and Applications I](https://online.neatra.in/product/global-analysis-studies-and-applications-i/) - [Global Analysis - Studies and Applications V](https://online.neatra.in/product/global-analysis-studies-and-applications-v/): This volume (a sequel to LNM 1108, 1214, 1334 and 1453) continues the presentation to English speaking readers of the Voronezh University press series on Global Analysis and Its Applications. The papers are selected fromtwo Russian issues entitled "Algebraic questions of Analysis and Topology" and "Nonlinear Operators in Global Analysis". - [Global Analysis - Studies and Applications IV](https://online.neatra.in/product/global-analysis-studies-and-applications-iv/) - [Getting Acquainted with Homogenization and Multiscale](https://online.neatra.in/product/getting-acquainted-with-homogenization-and-multiscale/): The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. - [Germs of Diffeomorphisms in the Plane](https://online.neatra.in/product/germs-of-diffeomorphisms-in-the-plane/) - [Geometry, Mechanics, and Control in Action for the Falling Cat](https://online.neatra.in/product/geometry-mechanics-and-control-in-action-for-the-falling-cat/): The falling cat is an interesting theme to pursue, in which geometry, mechanics, and control are in action together. As is well known, cats can almost always land on their feet when tossed into the air in an upside-down attitude. - [Geometry Symposium Utrecht 1980: Proceedings of a Symposium Held at the University of Utrecht, The Netherlands, August 27-29, 1980](https://online.neatra.in/product/geometry-symposium-utrecht-1980-proceedings-of-a-symposium-held-at-the-university-of-utrecht-the-netherlands-august-27-29-1980/) - [Introduction to Noncommutative Algebra](https://online.neatra.in/product/introduction-to-noncommutative-algebra/): Providing an elementary introduction to noncommutative rings and algebras, this textbook begins with the classical theory of finite dimensional algebras. Only after this, modules, vector spaces over division rings, and tensor products are introduced and studied. - [Introduction to Measure Theory and Functional Analysis](https://online.neatra.in/product/introduction-to-measure-theory-and-functional-analysis/): This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. - [Introduction to Mathematical Systems Theory: Discrete Time Linear Systems, Control and Identification](https://online.neatra.in/product/introduction-to-mathematical-systems-theory-discrete-time-linear-systems-control-and-identification/): This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering. The focus is on discrete time systems, which are the most relevant in business applications, as opposed to continuous time systems, requiring less mathematical preliminaries. - [Introduction to Logic, Third Edition](https://online.neatra.in/product/introduction-to-logic-third-edition/): This book is a gentle but rigorous introduction to Formal Logic. It is intended primarily for use at the college level. However, it can also be used for advanced secondary school students, and it can be used at the start of graduate school for those who have not yet seen the material. - [Introduction to Lipschitz Geometry of Singularities](https://online.neatra.in/product/introduction-to-lipschitz-geometry-of-singularities/): This book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major areas of singularity theory. - [Introduction to Lie Groups and Transformation Groups](https://online.neatra.in/product/introduction-to-lie-groups-and-transformation-groups/) - [Introduction to Lie Algebras](https://online.neatra.in/product/introduction-to-lie-algebras/): The first and only basic introduction to Lie Algebras thatÂ’s designed specifically for undergraduates Includes plenty of examples, exercises – with solutions – and problems, making it ideal for independent study Concludes with an overview of related topics and recent developments providing ideas for projects for further study Includes supplementary material: sn.pub/extras - [Introduction to l²-invariants](https://online.neatra.in/product/introduction-to-la%c2%b2-invariants/): An up-to-date and user-friendly introduction to the rapidly developing field of l²-invariants Proceeds quickly to the research level after thoroughly covering all the basics Contains many motivating examples, illustrations, and exercises - [Introduction to Knot Theory](https://online.neatra.in/product/introduction-to-knot-theory/): Knot theory is a kind of geometry, and one whose appeal is very direct because the objects studied are perceivable and tangible in everyday physical space. It is a meeting ground of such diverse branches of mathematics as group theory, matrix theory, number theory, algebraic geometry, and differential geometry, to name some of the more prominent ones. - [Introduction to Isospectrality](https://online.neatra.in/product/introduction-to-isospectrality/): Can one hear the shape of a drum?' This striking question, made famous by Mark Kac, conceals a precise mathematical problem, whose study led to sophisticated mathematics. This textbook presents the theory underlying the problem, for the first time in a form accessible to students. - [Introduction to Insurance Mathematics](https://online.neatra.in/product/introduction-to-insurance-mathematics/): This second edition expands the first chapters, which focus on the approach to risk management issues discussed in the first edition, to offer readers a better understanding of the risk management process and the relevant quantitative phases. - [Introduction to Infinity-Categories](https://online.neatra.in/product/introduction-to-infinity-categories/): This textbook is an introduction to the theory of infinity-categories, a tool used in many aspects of modern pure mathematics. - [Introduction to Grothendieck Duality Theory](https://online.neatra.in/product/introduction-to-grothendieck-duality-theory/) - [Introduction to Geometry and Topology](https://online.neatra.in/product/introduction-to-geometry-and-topology/): This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of lecture courses. - [Introduction to Functional Analysis](https://online.neatra.in/product/introduction-to-functional-analysis/): Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing. - [Introduction to Differential Geometry](https://online.neatra.in/product/introduction-to-differential-geometry/): This textbook is suitable for a one semester lecture course on differential geometry for students of mathematics or STEM disciplines with a working knowledge of analysis, linear algebra, complex analysis, and point set topology. The book treats the subject both from an extrinsic and an intrinsic view point. - [Introduction to Complex Theory of Differential Equations](https://online.neatra.in/product/introduction-to-complex-theory-of-differential-equations/): This book discusses the complex theory of differential equations or more precisely, the theory of differential equations on complex-analytic manifolds. - [Introduction to Complex Reflection Groups and Their Braid Groups](https://online.neatra.in/product/introduction-to-complex-reflection-groups-and-their-braid-groups/): Includes supplementary material: sn.pub/extras - [Introduction to Complex Analysis in Several Variables](https://online.neatra.in/product/introduction-to-complex-analysis-in-several-variables/): This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis rather than trying to cover as much material as possible, references to other parts of mathematics such as functional analysis or algebras are made to help broaden the view and the understanding of the chosen topics. - [Introduction to Axiomatic Set Theory](https://online.neatra.in/product/introduction-to-axiomatic-set-theory/): In 1963, the first author introduced a course in set theory at the University of Illinois whose main objectives were to cover Godel's work on the con­ sistency of the Axiom of Choice (AC) and the Generalized Continuum Hypothesis (GCH), and Cohen's work on the independence of the AC and the GCH. - [Introduction to Algebraic Topology](https://online.neatra.in/product/introduction-to-algebraic-topology/): This textbook provides a succinct introduction to algebraic topology. It follows a modern categorical approach from the beginning and gives ample motivation throughout so that students will find this an ideal first encounter to the field. - [Introduction to Algebraic Independence Theory](https://online.neatra.in/product/introduction-to-algebraic-independence-theory/): The first didactically-conceived presentation of the recent development in transcendence theory Includes supplementary material: sn.pub/extras - [Introduction to Algebraic Geometry](https://online.neatra.in/product/introduction-to-algebraic-geometry/): The goal of this book is to provide an introduction to algebraic geometry accessible to students. Starting from solutions of polynomial equations, modern tools of the subject soon appear, motivated by how they improve our understanding of geometrical concepts. - [Introduction to a Renormalisation Group Method](https://online.neatra.in/product/introduction-to-a-renormalisation-group-method/): Introduces mathematically rigorous renormalisation group theory Explores mathematically rigorous approaches Based on the lecture notes for summer school courses - [Interval Mathematics 1985: Proceedings of the International Symposium Freiburg i.Br., Federal Republic of Germany, September 23-26, 1985](https://online.neatra.in/product/interval-mathematics-1985-proceedings-of-the-international-symposium-freiburg-i-br-federal-republic-of-germany-september-23-26-1985/) - [Intersections of Hirzebruch–Zagier Divisors and CM Cycles](https://online.neatra.in/product/intersections-of-hirzebrucha-zagier-divisors-and-cm-cycles/): Develops new methods in explicit arithmetic intersection theory Develops new techniques for the study of Shimura varieties and automorphic forms, central objects in modern number theory Proves new cases of conjectures of S. Kudla Includes supplementary material: sn.pub/extras - [Intersection Spaces, Spatial Homology Truncation, and String Theory](https://online.neatra.in/product/intersection-spaces-spatial-homology-truncation-and-string-theory/): Includes supplementary material: sn.pub/extras - [Interpolation Spaces and Allied Topics in Analysis: Proceedings of the Conference Held in Lund, Sweden, August 29 - September 1, 1983](https://online.neatra.in/product/interpolation-spaces-and-allied-topics-in-analysis-proceedings-of-the-conference-held-in-lund-sweden-august-29-september-1-1983/) - [Interpolation Functors and Duality](https://online.neatra.in/product/interpolation-functors-and-duality/) - [Intelligent Computer Mathematics: 10th International Conference, AISC 2010, 17th Symposium, Calculemus 2010, and 9th International Conference, MKM 2010, Paris, France, July 5-10, 2010. Proceedings](https://online.neatra.in/product/intelligent-computer-mathematics-10th-international-conference-aisc-2010-17th-symposium-calculemus-2010-and-9th-international-conference-mkm-2010-paris-france-july-5-10-2010-proceedings/): Up-to-date results - [Integration Theory: With Special Attention to Vector Measures](https://online.neatra.in/product/integration-theory-with-special-attention-to-vector-measures/) - [Integration Theory](https://online.neatra.in/product/integration-theory/) - [Integral Representations: Topics in Integral Representation Theory. Integral Representations and Presentations of Finite Groups by Roggenkamp, K. W.](https://online.neatra.in/product/integral-representations-topics-in-integral-representation-theory-integral-representations-and-presentations-of-finite-groups-by-roggenkamp-k-w/) - [Integral Representations and Applications: Proceedings of a Conference held at Oberwolfach, Germany, June 22-28, 1980](https://online.neatra.in/product/integral-representations-and-applications-proceedings-of-a-conference-held-at-oberwolfach-germany-june-22-28-1980/) - [Integral Operators in Potential Theory](https://online.neatra.in/product/integral-operators-in-potential-theory/) - [Integral Geometry, Radon Transforms and Complex Analysis: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Venice, Italy, June 3-12, 1996](https://online.neatra.in/product/integral-geometry-radon-transforms-and-complex-analysis-lectures-given-at-the-1st-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-venice-italy-june-3-12-1996/): This book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems. - [Integrable Systems in the Realm of Algebraic Geometry](https://online.neatra.in/product/integrable-systems-in-the-realm-of-algebraic-geometry/): Includes supplementary material: sn.pub/extras - [Integrable Systems and Quantum Groups: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 14-22, 1993](https://online.neatra.in/product/integrable-systems-and-quantum-groups-lectures-given-at-the-1st-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-montecatini-terme-italy-june-14-22-1993/): The aim of this CIME Session was to review the state of the art in the recent development of the theory of integrable systems and their relations with quantum groups. The purpose was to gather geometers and mathematical physicists to allow a broader and more complete view of these attractive and rapidly developing fields. - [Injective Choice Functions](https://online.neatra.in/product/injective-choice-functions/) - [Information, Weight of Evidence. The Singularity Between Probability Measures and Signal Detection](https://online.neatra.in/product/information-weight-of-evidence-the-singularity-between-probability-measures-and-signal-detection/) - [Information Geometry: Near Randomness and Near Independence](https://online.neatra.in/product/information-geometry-near-randomness-and-near-independence/): Includes supplementary material: sn.pub/extras - [Infinity Properads and Infinity Wheeled Properads](https://online.neatra.in/product/infinity-properads-and-infinity-wheeled-properads/): The topic of this book sits at the interface of the theory of higher categories (in the guise of (?,1)-categories) and the theory of properads. Properads are devices more general than operads and enable one to encode bialgebraic, rather than just (co)algebraic, structures. - [Infinitesimally Central Extensions of Chevalley Groups](https://online.neatra.in/product/infinitesimally-central-extensions-of-chevalley-groups/) - [Infinite-Dimensional Systems: Proceedings of the Conference on Operator Semigroups and Applications held in Retzhof (Styria), Austria, June 5-11, 1983](https://online.neatra.in/product/infinite-dimensional-systems-proceedings-of-the-conference-on-operator-semigroups-and-applications-held-in-retzhof-styria-austria-june-5-11-1983/) - [Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields](https://online.neatra.in/product/infinite-dimensional-dirac-operators-and-supersymmetric-quantum-fields/): This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis. The main mathematical objects are infinite-dimensional Dirac operators on the abstract Boson–Fermion Fock space. - [Infinite Matrices of Operators](https://online.neatra.in/product/infinite-matrices-of-operators/) - [Infinite Dimensional Lie Transformation Groups](https://online.neatra.in/product/infinite-dimensional-lie-transformation-groups/) - [Infinitary Logic: In Memoriam Carol Karp](https://online.neatra.in/product/infinitary-logic-in-memoriam-carol-karp/) - [Infinitary Combinatorics and the Axiom of Determinateness](https://online.neatra.in/product/infinitary-combinatorics-and-the-axiom-of-determinateness/) - [Induzierte Darstellungen in der Theorie der endlichen, algebraischen Gruppen](https://online.neatra.in/product/induzierte-darstellungen-in-der-theorie-der-endlichen-algebraischen-gruppen/) - [Induced Representations and Banach*-Algebraic Bundles](https://online.neatra.in/product/induced-representations-and-banach-algebraic-bundles/) - [Indexed Categories and Their Applications](https://online.neatra.in/product/indexed-categories-and-their-applications/) - [Index Theory Beyond the Fredholm Case](https://online.neatra.in/product/index-theory-beyond-the-fredholm-case/): This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. - [Incompleteness for Higher-Order Arithmetic](https://online.neatra.in/product/incompleteness-for-higher-order-arithmetic/): Gödel's true-but-unprovable sentence from the first incompleteness theorem is purely logical in nature, i.e. not mathematically natural or interesting. An interesting problem is to find mathematically natural and interesting statements that are similarly unprovable. - [In Memoriam Paul-André Meyer - Séminaire de Probabilités XXXIX](https://online.neatra.in/product/in-memoriam-paul-andre-meyer-seminaire-de-probabilites-xxxix/): Includes supplementary material: sn.pub/extras - [In Memoriam Marc Yor - Séminaire de Probabilités XLVII](https://online.neatra.in/product/in-memoriam-marc-yor-seminaire-de-probabilites-xlvii/): Includes supplementary material: sn.pub/extras - [Improved Bonferroni Inequalities via Abstract Tubes: Inequalities and Identities of Inclusion-Exclusion Type](https://online.neatra.in/product/improved-bonferroni-inequalities-via-abstract-tubes-inequalities-and-identities-of-inclusion-exclusion-type/): Includes supplementary material: sn.pub/extras - [Iitaka Conjecture](https://online.neatra.in/product/iitaka-conjecture/): The ambitious program for the birational classification of higher-dimensional complex algebraic varieties initiated by Shigeru Iitaka around 1970 is usually called the Iitaka program. Now it is known that the heart of the Iitaka program is the Iitaka conjecture, which claims the subadditivity of the Kodaira dimension for fiber spaces. - [Ideals of Powers and Powers of Ideals: Intersecting Algebra, Geometry, and Combinatorics](https://online.neatra.in/product/ideals-of-powers-and-powers-of-ideals-intersecting-algebra-geometry-and-combinatorics/): First book to contain a summary of known results on the associated primes of edge ideals First book to contain a summary of known results on the regularity of powers of monomial ideals Contains open problems for graduate students With a chapter for early career researchers on "how to do mathematics research" Provides an up-to-date and comprehensive list of references of papers in the area Written by authors who have made numerous contributions to these areas First book to introduce the ideal containment problem (e.g. Waldschmidt contstant resurgence symbolic defect) - [Ideal Spaces](https://online.neatra.in/product/ideal-spaces/): Ideal spaces are a very general class of normed spaces of measurable functions, which includes e.g. Lebesgue and Orlicz spaces. Their most important application is in functional analysis in the theory of (usual and partial) integral and integro-differential equations. - [Icosahedral Galois Representations](https://online.neatra.in/product/icosahedral-galois-representations/) - [Hyponormal Quantization of Planar Domains: Exponential Transform in Dimension Two](https://online.neatra.in/product/hyponormal-quantization-of-planar-domains-exponential-transform-in-dimension-two/): This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. - [Hypoellipticity and Eigenvalue Asymptotics](https://online.neatra.in/product/hypoellipticity-and-eigenvalue-asymptotics/) - [Hypoelliptic Estimates and Spectral Theory for Fokker-Planck Operators and Witten Laplacians](https://online.neatra.in/product/hypoelliptic-estimates-and-spectral-theory-for-fokker-planck-operators-and-witten-laplacians/): Includes supplementary material: sn.pub/extras - [Hyperplane Arrangements](https://online.neatra.in/product/hyperplane-arrangements/): This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties. - [Hypergraph Seminar: Ohio State University, 1972](https://online.neatra.in/product/hypergraph-seminar-ohio-state-university-1972/) - [Hyperfunctions and Theoretical Physics: Rencontre de Nice, 21-30 Mai 1973](https://online.neatra.in/product/hyperfunctions-and-theoretical-physics-rencontre-de-nice-21-30-mai-1973/) - [Hyperfunctions and Pseudo-Differential Equations: Proceedings of a Conference at Katata, 1971](https://online.neatra.in/product/hyperfunctions-and-pseudo-differential-equations-proceedings-of-a-conference-at-katata-1971/) - [Hyperbolic Systems with Analytic Coefficients: Well-posedness of the Cauchy Problem](https://online.neatra.in/product/hyperbolic-systems-with-analytic-coefficients-well-posedness-of-the-cauchy-problem/): Includes supplementary material: sn.pub/extras - [Hyperbolic Systems of Balance Laws: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 14-21, 2003](https://online.neatra.in/product/hyperbolic-systems-of-balance-laws-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-july-14-21-2003/): Includes supplementary material: sn.pub/extras - [Hyperbolic Geometry](https://online.neatra.in/product/hyperbolic-geometry/): Thoroughly revised and updated Features new material on important topics such as hyperbolic geometry in higher dimensions and generalizations of hyperbolicity The only genuinely introductory textbook devoted to this topic: it is self-contained and assumes very few prerequisites Includes full solutions for all exercises – the only book on the subject to do so - [Hyperbolic Cross Approximation](https://online.neatra.in/product/hyperbolic-cross-approximation/): This book provides a systematic survey of classical and recent results on hyperbolic cross approximation. Motivated by numerous applications, the last two decades have seen great success in studying multivariate approximation. - [Hyperbolic and Kinetic Models for Self-organised Biological Aggregations: A Modelling and Pattern Formation Approach](https://online.neatra.in/product/hyperbolic-and-kinetic-models-for-self-organised-biological-aggregations-a-modelling-and-pattern-formation-approach/): This book focuses on the spatio-temporal patterns generated by two classes of mathematical models (of hyperbolic and kinetic types) that have been increasingly used in the past several years to describe various biological and ecological communities. - [Hybrid High-Order Methods: A Primer with Applications to Solid Mechanics](https://online.neatra.in/product/hybrid-high-order-methods-a-primer-with-applications-to-solid-mechanics/): Comprehensive coverage of the HHO method for computational mechanics Focus on computational mechanics with mathematical rigor Illustrations from applications including plasticity, contact, friction, and waves - [H-Spaces from a Homotopy Point of View](https://online.neatra.in/product/h-spaces-from-a-homotopy-point-of-view/) - [hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes](https://online.neatra.in/product/hp-version-discontinuous-galerkin-methods-on-polygonal-and-polyhedral-meshes/): Over the last few decades discontinuous Galerkin finite element methods (DGFEMs) have been witnessed tremendous interest as a computational framework for the numerical solution of partial differential equations. Their success is due to their extreme versatility in the design of the underlying meshes and local basis functions, while retaining key features of both (classical) finite element and finite volume methods. - [hp-Finite Element Methods for Singular Perturbations](https://online.neatra.in/product/hp-finite-element-methods-for-singular-perturbations/): Includes supplementary material: sn.pub/extras - [How to Label a Graph](https://online.neatra.in/product/how-to-label-a-graph/): Covers fundamentals of different interpretations of labeling graphs Provides examples and illustrations for wide variety of graph labeling Introduces new graph labeling with connection to Four Color Theorem - [Hopf Algebras and Their Generalizations from a Category Theoretical Point of View](https://online.neatra.in/product/hopf-algebras-and-their-generalizations-from-a-category-theoretical-point-of-view/): These lecture notes provide a self-contained introduction to a wide range of generalizations of Hopf algebras. Multiplication of their modules is described by replacing the category of vector spaces with more general monoidal categories, thereby extending the range of applications. - [Hopf Algebras and Galois Theory](https://online.neatra.in/product/hopf-algebras-and-galois-theory/) - [Homotopy Theory with Bornological Coarse Spaces](https://online.neatra.in/product/homotopy-theory-with-bornological-coarse-spaces/): Providing a new approach to assembly maps, this book develops the foundations of coarse homotopy using the language of infinity categories. It introduces the category of bornological coarse spaces and the notion of a coarse homology theory, and further constructs the universal coarse homology theory. - [Homotopy Theory and Related Topics: Proceedings of the International Conference held at Kinosaki, Japan, August 19-24, 1988](https://online.neatra.in/product/homotopy-theory-and-related-topics-proceedings-of-the-international-conference-held-at-kinosaki-japan-august-19-24-1988/) - [Homotopy Theory and Arithmetic Geometry – Motivic and Diophantine Aspects: LMS-CMI Research School, London, July 2018](https://online.neatra.in/product/homotopy-theory-and-arithmetic-geometry-a-motivic-and-diophantine-aspects-lms-cmi-research-school-london-july-2018/): Presents the state of the art in applications of homotopy theory to arithmetic geometry A unique collection of original lecture notes aimed at research students Contains lectures on étale and motivic homotopy theory, arithmetic enumerative geometry, and motives - [Homotopy Limits, Completions and Localizations](https://online.neatra.in/product/homotopy-limits-completions-and-localizations/): The main purpose of part I of these notes is to develop for a ring R a functional notion of R-completion of a space X. For R=Zp and X subject to usual finiteness condition, the R-completion coincides up to homotopy, with the p-profinite completion of Quillen and Sullivan| for R a subring of the rationals, the R-completion coincides up to homotopy, with the localizations of Quillen, Sullivan and others. - [Homotopy Invariant Algebraic Structures on Topological Spaces](https://online.neatra.in/product/homotopy-invariant-algebraic-structures-on-topological-spaces/) - [Homotopy Equivalences of 3-Manifolds with Boundaries](https://online.neatra.in/product/homotopy-equivalences-of-3-manifolds-with-boundaries/) - [Homotopical Algebra](https://online.neatra.in/product/homotopical-algebra/) - [Homology of Locally Semialgebraic Spaces](https://online.neatra.in/product/homology-of-locally-semialgebraic-spaces/): Locally semialgebraic spaces serve as an appropriate framework for studying the topological properties of varieties and semialgebraic sets over a real closed field. This book contributes to the fundamental theory of semialgebraic topology and falls into two main parts. - [Homology of Classical Groups Over Finite Fields and Their Associated Infinite Loop Spaces](https://online.neatra.in/product/homology-of-classical-groups-over-finite-fields-and-their-associated-infinite-loop-spaces/) - [Homology in Group Theory](https://online.neatra.in/product/homology-in-group-theory/) - [Homogenization in Time of Singularly Perturbed Mechanical Systems](https://online.neatra.in/product/homogenization-in-time-of-singularly-perturbed-mechanical-systems/): This book is about the explicit elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and our understanding of model hierarchies. The author presents his new direct method, homogenization in time, based on energy principles and weak convergence techniques. - [Homogeneous Bounded Domains and Siegel Domains](https://online.neatra.in/product/homogeneous-bounded-domains-and-siegel-domains/) - [Homogénéisation en milieu périodique... ou non](https://online.neatra.in/product/homogeneisation-en-milieu-periodique-ou-non/): The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media. The presentation encompasses both deterministic and probabilistic settings. - [Holomorphic Vector Bundles over Compact Complex Surfaces](https://online.neatra.in/product/holomorphic-vector-bundles-over-compact-complex-surfaces/): The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface. Special features of the nonalgebraic surfaces case, like irreducible vector bundles and stability with respect to a Gauduchon metric, are considered. - [Holomorphic Q Classes](https://online.neatra.in/product/holomorphic-q-classes/): Includes supplementary material: sn.pub/extras - [Holomorphic Dynamics: Proceedings of the Second International Colloquium on Dynamical Systems, held in Mexico, July 1986](https://online.neatra.in/product/holomorphic-dynamics-proceedings-of-the-second-international-colloquium-on-dynamical-systems-held-in-mexico-july-1986/): The objective of the meeting was to have together leading specialists in the field of Holomorphic Dynamical Systems in order to present their current reseach in the field. The scope was to cover iteration theory of holomorphic mappings (i.e. rational maps), holomorphic differential equations and foliations. - [Holomorphic Dynamical Systems: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 7-12, 2008](https://online.neatra.in/product/holomorphic-dynamical-systems-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-july-7-12-2008/): This title includes contributions by six well known reserchers in different topics of the ample subject The contributions are as much self-contained as possible The volume provides a fascinating introduction to many key problems of the current research Includes supplementary material: sn.pub/extras - [Holomorphic Curves in Low Dimensions](https://online.neatra.in/product/holomorphic-curves-in-low-dimensions/): This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three. - [Hodge Theory: Proceedings, U.S.-Spain Workshop held in Sant Cugat (Barcelona), Spain, June 24-30, 1985](https://online.neatra.in/product/hodge-theory-proceedings-u-s-spain-workshop-held-in-sant-cugat-barcelona-spain-june-24-30-1985/): The papers in this volume reflect the recent developments in the areas of: mixed Hodge theory on the cohomology of singular and open varieties, on the rational homotopy of algebraic varieties, on the cohomology of a link, and on the vanishing cycles| L -realization of the intersection cohomology for the cases of singular varieties and smooth varieties with degenerating coefficients| applications of cubical hyperresolutions and of iterated integrals| asymptotic behavior of degenerating variations of Hodge structure| the geometric realization of maximal variations| and variations of mixed Hodge structure. N - [Hodge Decomposition - A Method for Solving Boundary Value Problems](https://online.neatra.in/product/hodge-decomposition-a-method-for-solving-boundary-value-problems/): Hodge theory is a standard tool in characterizing differ- ential complexes and the topology of manifolds. This book is a study of the Hodge-Kodaira and related decompositions on manifolds with boundary under mainly analytic aspects. - [Lectures in Algebraic Combinatorics](https://online.neatra.in/product/lectures-in-algebraic-combinatorics/): Capturing Adriano Garsia's unique perspective on essential topics in algebraic combinatorics, this book consists of selected, classic notes on a number of topics based on lectures held at the University of California, San Diego over the past few decades. - [Lectures in Abstract Algebra: III. Theory of Fields and Galois Theory](https://online.neatra.in/product/lectures-in-abstract-algebra-iii-theory-of-fields-and-galois-theory/): The present volume completes the series of texts on algebra which the author began more than ten years ago. The account of field theory and Galois theory which we give here is based on the notions and results of general algebra which appear in our first volume and on the more elementary parts of the second volume, dealing with linear algebra. - [Lectures in Abstract Algebra: II. Linear Algebra](https://online.neatra.in/product/lectures-in-abstract-algebra-ii-linear-algebra/): The present volume is the second in the author's series of three dealing with abstract algebra. For an understanding of this volume a certain familiarity with the basic concepts treated in Volume I: groups, rings, fields, homomorphisms, is presup­posed. - [Lectures in Abstract Algebra I: Basic Concepts](https://online.neatra.in/product/lectures-in-abstract-algebra-i-basic-concepts/): The present volume is the first of three that will be published under the general title Lectures in Abstract Algebra. These vol­ umes are based on lectures which the author has given during the past ten years at the University of North Carolina, at The Johns Hopkins University, and at Yale "University. - [Lecture Notes on Wavelet Transforms](https://online.neatra.in/product/lecture-notes-on-wavelet-transforms/): This book provides a systematic exposition of the basic ideas and results of wavelet analysis suitable for mathematicians, scientists, and engineers alike. The primary goal of this text is to show how different types of wavelets can be constructed, illustrate why they are such powerful tools in mathematical analysis, and demonstrate their use in applications. - [Lecture Notes in Real Analysis](https://online.neatra.in/product/lecture-notes-in-real-analysis/): This compact textbook is a collection of the authorÂ’s lecture notes for a two-semester graduate-level real analysis course. While the material covered is standard, the authorÂ’s approach is unique in that it combines elements from both RoydenÂ’s and FollandÂ’s classic texts to provide a more concise and intuitive presentation. - [Lebesgue Integral](https://online.neatra.in/product/lebesgue-integral/): This book presents a compact and self-contained introduction to the theory of measure and integration. The introduction into this theory is as necessary (because of its multiple applications) as difficult for the uninitiated. - [Lebesgue and Sobolev Spaces with Variable Exponents](https://online.neatra.in/product/lebesgue-and-sobolev-spaces-with-variable-exponents/): First book in the area of research Self-contained presentation suitable for both graduate students and researchers Comprehensive book with extensive index and nomenclature Applications for the developed theory is presented in the book Includes supplementary material: sn.pub/extras - [Leavitt Path Algebras](https://online.neatra.in/product/leavitt-path-algebras/): The first book solely devoted to Leavitt path algebras Provides a self-contained and easy-to-read introduction to the subject Carefully explains the connection between graph C*-algebras and Leavitt path algebras Presents fundamental results and new results alongside open problems - [Learning Mathematics in the Context of 3D Printing](https://online.neatra.in/product/learning-mathematics-in-the-context-of-3d-printing/): The volume presents a collection of articles on the use of 3D printing technology in mathematics education and in mathematics teacher training. It contains both basic research-oriented contributions as well as reflected descriptions of concrete developments for teaching. - [Learn ggplot2 Using Shiny App](https://online.neatra.in/product/learn-ggplot2-using-shiny-app/): This book and app is for practitioners, professionals, researchers, and students who want to learn how to make a plot within the R environment using ggplot2, step-by-step without coding. In widespread use in the statistical communities, R is a free software language and environment for statistical programming and graphics. - [Le Cycles and Hypersurface Singularities](https://online.neatra.in/product/le-cycles-and-hypersurface-singularities/): This book describes and gives applications of an important new tool in the study of complex analytic hypersurface singularities: the Lê cycles of the hypersurface. The Lê cycles and their multiplicities - the Lê numbers - provide effectively calculable data which generalizes the Milnor number of an isolated singularity to the case of singularities of arbitrary dimension. - [Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems](https://online.neatra.in/product/layer-adapted-meshes-for-reaction-convection-diffusion-problems/): Includes supplementary material: sn.pub/extras - [Laws of Large Numbers for Normed Linear Spaces and Certain Frechet Spaces](https://online.neatra.in/product/laws-of-large-numbers-for-normed-linear-spaces-and-certain-frechet-spaces/) - [Lattices over Orders II](https://online.neatra.in/product/lattices-over-orders-ii/) - [Lattices over Orders I](https://online.neatra.in/product/lattices-over-orders-i/) - [Lattices Applied to Coding for Reliable and Secure Communications](https://online.neatra.in/product/lattices-applied-to-coding-for-reliable-and-secure-communications/): This book provides a first course on lattices – mathematical objects pertaining to the realm of discrete geometry, which are of interest to mathematicians for their structure and, at the same time, are used by electrical and computer engineers working on coding theory and cryptography. - [Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction](https://online.neatra.in/product/lattice-gas-cellular-automata-and-lattice-boltzmann-models-an-introduction/): Includes supplementary material: sn.pub/extras - [Lattice Theory: Special Topics and Applications: Volume 2](https://online.neatra.in/product/lattice-theory-special-topics-and-applications-volume-2/): George Grätzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grätzer considered updating the second edition to reflect some exciting and deep developments. - [Large-Time Behavior of Solutions of Linear Dispersive Equations](https://online.neatra.in/product/large-time-behavior-of-solutions-of-linear-dispersive-equations/): This book studies the large-time asymptotic behavior of solutions of the pure initial value problem for linear dispersive equations with constant coefficients and homogeneous symbols in one space dimension. Complete matched and uniformly-valid asymptotic expansions are obtained and sharp error estimates are proved. - [Large-Scale and Distributed Optimization](https://online.neatra.in/product/large-scale-and-distributed-optimization/): This book presents tools and methods for large-scale and distributed optimization. Since many methods in "Big Data" fields rely on solving large-scale optimization problems, often in distributed fashion, this topic has over the last decade emerged to become very important. - [Large Random Matrices: Lectures on Macroscopic Asymptotics: École d'Été de Probabilités de Saint-Flour XXXVI – 2006](https://online.neatra.in/product/large-random-matrices-lectures-on-macroscopic-asymptotics-ecole-dete-de-probabilites-de-saint-flour-xxxvi-a-2006/): Includes supplementary material: sn.pub/extras - [Large Deviations for Random Graphs: École d'Été de Probabilités de Saint-Flour XLV - 2015](https://online.neatra.in/product/large-deviations-for-random-graphs-ecole-dete-de-probabilites-de-saint-flour-xlv-2015/): First book-length treatment of large deviations for random graphs, plus a chapter on exponential random graphs Contains a summary of important results from graph limit theory with complete proofs Written in a style for beginning graduate students, self-contained with essentially no need for background knowledge other than some amount of graduate probability and analysis - [Laplacian Growth on Branched Riemann Surfaces](https://online.neatra.in/product/laplacian-growth-on-branched-riemann-surfaces/): Explores unsolved problems and new directions related to domain evolutions on Riemann surfaces Presents potentially fruitful ideas around the ill-posed suction problem Gives elementary, but intriguing, examples involving only polynomials and rational functions - [Laplacian Eigenvectors of Graphs: Perron-Frobenius and Faber-Krahn Type Theorems](https://online.neatra.in/product/laplacian-eigenvectors-of-graphs-perron-frobenius-and-faber-krahn-type-theorems/): Eigenvectors of graph Laplacians have not, to date, been the subject of expository articles and thus they may seem a surprising topic for a book. The authors propose two motivations for this new LNM volume: (1) There are fascinating subtle differences between the properties of solutions of Schrödinger equations on manifolds on the one hand, and their discrete analogs on graphs. (2) “Geometric” properties of (cost) functions defined on the vertex sets of graphs are of practical interest for heuristic optimization algorithms. - [Lambda-Rings and the Representation Theory of the Symmetric Group](https://online.neatra.in/product/lambda-rings-and-the-representation-theory-of-the-symmetric-group/) - [L1-Algebras and Segal Algebras](https://online.neatra.in/product/l1-algebras-and-segal-algebras/) - [Kuramochi Boundaries of Riemann Surfaces: A Symposium held at the Research Institute for Mathematical Sciences, Kyoto University, October 1965](https://online.neatra.in/product/kuramochi-boundaries-of-riemann-surfaces-a-symposium-held-at-the-research-institute-for-mathematical-sciences-kyoto-university-october-1965/) - [K-Theory, Arithmetic and Geometry: Seminar, Moscow University, 1984-1986](https://online.neatra.in/product/k-theory-arithmetic-and-geometry-seminar-moscow-university-1984-1986/): This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to K-theory, homological algebra and algebraic geometry. The main topics discussed include additive K-theory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and Neveu-Schwarz algebras. - [K-Theory of Finite Groups and Orders](https://online.neatra.in/product/k-theory-of-finite-groups-and-orders/) - [K-Theory for Group C*-Algebras and Semigroup C*-Algebras](https://online.neatra.in/product/k-theory-for-group-c-algebras-and-semigroup-c-algebras/): This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to particular examples. Much of the material is available here for the first time in book form. The topics discussed are among the most classical and intensely studied C*-algebras. - [K-Theory and Operator Algebras: Proceedings of a Conference Held at the University of Georgia in Athens, Georgia, April 21 - 25, 1975](https://online.neatra.in/product/k-theory-and-operator-algebras-proceedings-of-a-conference-held-at-the-university-of-georgia-in-athens-georgia-april-21-25-1975/) - [K-theory and Homological Algebra: A Seminar Held at the Razmadze Mathematical Institute in Tbilisi, Georgia, USSR 1987-88](https://online.neatra.in/product/k-theory-and-homological-algebra-a-seminar-held-at-the-razmadze-mathematical-institute-in-tbilisi-georgia-ussr-1987-88/) - [KP Solitons and the Grassmannians](https://online.neatra.in/product/kp-solitons-and-the-grassmannians/): This is the first book to treat combinatorial and geometric aspects of two-dimensional solitons. Based on recent research by the author and his collaborators, the book presents new developments focused on an interplay between the theory of solitons and the combinatorics of finite-dimensional Grassmannians, in particular, the totally nonnegative (TNN) parts of the Grassmannians. - [Korteweg-de Vries and Nonlinear Schrödinger Equations: Qualitative Theory](https://online.neatra.in/product/korteweg-de-vries-and-nonlinear-schrodinger-equations-qualitative-theory/): Includes supplementary material: sn.pub/extras - [KontsevichÂ’s Deformation Quantization and Quantum Field Theory](https://online.neatra.in/product/kontsevichas-deformation-quantization-and-quantum-field-theory/): This book provides an introduction to deformation quantization and its relation to quantum field theory, with a focus on the constructions of Kontsevich and Cattaneo & Felder. This subject originated from an attempt to understand the mathematical structure when passing from a commutative classical algebra of observables to a non-commutative quantum algebra of observables. - [Kodaira-Spencer Maps in Local Algebra](https://online.neatra.in/product/kodaira-spencer-maps-in-local-algebra/): The monograph contributes to Lech's inequality - a 30-year-old problem of commutative algebra, originating in the work of Serre and Nagata, that relates the Hilbert function of the total space of an algebraic or analytic deformation germ to the Hilbert function of the parameter space. A weakened version of Lech's inequality is proved using a construction that can be considered as a local analog of the Kodaira-Spencer map known from the deformation theory of compact complex manifolds. - [Knots and Links in Three-Dimensional Flows](https://online.neatra.in/product/knots-and-links-in-three-dimensional-flows/): The closed orbits of three-dimensional flows form knots and links. This book develops the tools - template theory and symbolic dynamics - needed for studying knotted orbits. - [Knot Theory: Proceedings, Plans-sur Bex, Switzerland 1977](https://online.neatra.in/product/knot-theory-proceedings-plans-sur-bex-switzerland-1977/) - [Knot Theory and Manifolds: Proceedings of a Conference held in Vancouver, Canada, June 2-4, 1983](https://online.neatra.in/product/knot-theory-and-manifolds-proceedings-of-a-conference-held-in-vancouver-canada-june-2-4-1983/) - [Kleinian Groups and Related Topics: Proceedings of the Workshop Held at Oaxtepec, Mexico, August 10-14, 1981](https://online.neatra.in/product/kleinian-groups-and-related-topics-proceedings-of-the-workshop-held-at-oaxtepec-mexico-august-10-14-1981/) - [Kernel Mode Decomposition and the Programming of Kernels](https://online.neatra.in/product/kernel-mode-decomposition-and-the-programming-of-kernels/): Introduces programmable and interpretable regression networks for pattern recognition Uses the classical mode decomposition problem to precisely illustrate models Demonstrates a program for representing nonlinearities through hierarchies - [Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces](https://online.neatra.in/product/katos-type-inequalities-for-bounded-linear-operators-in-hilbert-spaces/): The aim of this book is to present results related to Kato's famous inequality for bounded linear operators on complex Hilbert spaces obtained by the author in a sequence of recent research papers. - [Kan Extensions in Enriched Category Theory](https://online.neatra.in/product/kan-extensions-in-enriched-category-theory/) - [Kähler-Einstein Metrics and Integral Invariants](https://online.neatra.in/product/kahler-einstein-metrics-and-integral-invariants/): These notes present very recent results on compact Kähler-Einstein manifolds of positive scalar curvature. A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and becomes an obstruction to the existence of a Kähler-Einstein metric. - [Kähler Immersions of Kähler Manifolds into Complex Space Forms](https://online.neatra.in/product/kahler-immersions-of-kahler-manifolds-into-complex-space-forms/): The aim of this book is to describe Calabi's original work on Kähler immersions of Kähler manifolds into complex space forms, to provide a detailed account of what is known today on the subject and to point out some open problems. - [K3 Projective Models in Scrolls](https://online.neatra.in/product/k3-projective-models-in-scrolls/): Includes supplementary material: sn.pub/extras - [Jump SDEs and the Study of Their Densities: A Self-Study Book](https://online.neatra.in/product/jump-sdes-and-the-study-of-their-densities-a-self-study-book/): Introduces jump processes for students who may not have had previous experience with stochastic processes Expedites understanding of the application of an infinite-dimensional integration by parts formula for jump processe Presents Lévy processes in stages, with exercises to check the readerÂ’s progress - [Journees d'Analyse Non Lineaire: Proceedings, Besancon, France, June 1977](https://online.neatra.in/product/journees-danalyse-non-lineaire-proceedings-besancon-france-june-1977/) - [Jordan Triple Systems by the Grid Approach](https://online.neatra.in/product/jordan-triple-systems-by-the-grid-approach/): Grids are special families of tripotents in Jordan triple systems. This research monograph presents a theory of grids including their classification and coordinization of their cover. - [Jordan Pairs](https://online.neatra.in/product/jordan-pairs/) - [Japan-United States Seminar on Ordinary Differential and Functional Equations: Held in Kyoto/Japan, September 6-11. 1971](https://online.neatra.in/product/japan-united-states-seminar-on-ordinary-differential-and-functional-equations-held-in-kyoto-japan-september-6-11-1971/) - [Jacobi Forms, Finite Quadratic Modules and Weil Representations over Number Fields](https://online.neatra.in/product/jacobi-forms-finite-quadratic-modules-and-weil-representations-over-number-fields/): The new theory of Jacobi forms over totally real number fields introduced in this monograph is expected to give further insight into the arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. - [Iwahori-Hecke Algebras and their Representation Theory: Lectures given at the CIME Summer School held in Martina Franca, Italy, June 28 - July 6, 1999](https://online.neatra.in/product/iwahori-hecke-algebras-and-their-representation-theory-lectures-given-at-the-cime-summer-school-held-in-martina-franca-italy-june-28-july-6-1999/): Includes supplementary material: sn.pub/extras - [Iterative Solution of Nonlinear Systems of Equations: Proceedings of a Meeting held at Oberwolfach, Germany, Jan. 31 – Feb. 5, 1982](https://online.neatra.in/product/iterative-solution-of-nonlinear-systems-of-equations-proceedings-of-a-meeting-held-at-oberwolfach-germany-jan-31-a-feb-5-1982/) - [Iterative Methods for the Solution of a Linear Operator Equation in Hilbert Space: A Survey](https://online.neatra.in/product/iterative-methods-for-the-solution-of-a-linear-operator-equation-in-hilbert-space-a-survey/) - [Iterative Methods for Simultaneous Inclusion of Polynomial Zeros](https://online.neatra.in/product/iterative-methods-for-simultaneous-inclusion-of-polynomial-zeros/): The simultaneous inclusion of polynomial complex zeros is a crucial problem in numerical analysis. Rapidly converging algorithms are presented in these notes, including convergence analysis in terms of circular regions, and in complex arithmetic. - [Iterative Methods for Fixed Point Problems in Hilbert Spaces](https://online.neatra.in/product/iterative-methods-for-fixed-point-problems-in-hilbert-spaces/): The projection methods for fixed point problems are presented in a consolidated way Over 60 figures help to understand the properties of important classes of algorithmic operators The convergence properties of projection methods follow from a few general convergence theorems presented in the monograph Includes supplementary material: sn.pub/extras - [Iterative Approximation of Fixed Points](https://online.neatra.in/product/iterative-approximation-of-fixed-points/): Includes supplementary material: sn.pub/extras - [Iteration Theory and its Functional Equations: Proceedings of the International Symposium held at Schloß Hofen (Lochau), Austria, September 28 - October 1, 1984](https://online.neatra.in/product/iteration-theory-and-its-functional-equations-proceedings-of-the-international-symposium-held-at-schlos-hofen-lochau-austria-september-28-october-1-1984/) - [Iteration of Rational Functions: Complex Analytic Dynamical Systems](https://online.neatra.in/product/iteration-of-rational-functions-complex-analytic-dynamical-systems/): This book makes available a comprehensive, detailed, and organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. - [Iterates of Piecewise Monotone Mappings on an Interval](https://online.neatra.in/product/iterates-of-piecewise-monotone-mappings-on-an-interval/): Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. These notes are concerned with the properties of the iterates of such mappings. - [Iterates of Maps on an Interval](https://online.neatra.in/product/iterates-of-maps-on-an-interval/) - [Iterated Inductive Definitions and Subsystems of Analysis: Recent Proof-Theoretical Studies](https://online.neatra.in/product/iterated-inductive-definitions-and-subsystems-of-analysis-recent-proof-theoretical-studies/) - [IsoGeometric Analysis: A New Paradigm in the Numerical Approximation of PDEs: Cetraro, Italy 2012](https://online.neatra.in/product/isogeometric-analysis-a-new-paradigm-in-the-numerical-approximation-of-pdes-cetraro-italy-2012/): Providing an introduction to isogeometric methods with a focus on their mathematical foundations, this book is composed of four chapters, each devoted to a topic of special interests for isogeometric methods and their theoretical understanding. - [ISILC - Proof Theory Symposion: Dedicated to Kurt Schütte on the Occasion of His 65th Birthday. Proceedings of the International Summer Institute and Logic Colloquium, Kiel 1974](https://online.neatra.in/product/isilc-proof-theory-symposion-dedicated-to-kurt-schutte-on-the-occasion-of-his-65th-birthday-proceedings-of-the-international-summer-institute-and-logic-colloquium-kiel-1974/) - [ISILC - Logic Conference: Proceedings of the International Summer Institute and Logic Colloquium, Kiel 1974](https://online.neatra.in/product/isilc-logic-conference-proceedings-of-the-international-summer-institute-and-logic-colloquium-kiel-1974/) - [Irregularity in Graphs](https://online.neatra.in/product/irregularity-in-graphs/): Die Theorie der regularen Graphen (The Theory of Regular Graphs), written by the Danish Mathematician Julius Petersen in 1891, is often considered the first strictly theoretical paper dealing with graphs. In the 130 years since then, regular graphs have been a common and popular area of study. - [Involutive Category Theory](https://online.neatra.in/product/involutive-category-theory/): This monograph introduces involutive categories and involutive operads, featuring applications to the GNS construction and algebraic quantum field theory. - [Invertible Fuzzy Topological Spaces](https://online.neatra.in/product/invertible-fuzzy-topological-spaces/): This book discusses the invertibility of fuzzy topological spaces and related topics. Certain types of fuzzy topological spaces are introduced, and interrelations between them are brought forth. - [Inverse Spectral and Scattering Theory](https://online.neatra.in/product/inverse-spectral-and-scattering-theory/): The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science. These practical problems boil down to the mathematical question in which one tries to recover the operator (coefficients) or the domain (manifolds) from spectral data. - [Inverse Problems: Lectures Given at the 1st 1986 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held at Montecatini Terme, Italy, May 28-June 5, 1986](https://online.neatra.in/product/inverse-problems-lectures-given-at-the-1st-1986-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-at-montecatini-terme-italy-may-28-june-5-1986/) - [Inverse Problems and Imaging: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 15-21, 2002](https://online.neatra.in/product/inverse-problems-and-imaging-lectures-given-at-the-c-i-m-e-summer-school-held-in-martina-franca-italy-september-15-21-2002/): Includes supplementary material: sn.pub/extras - [Inverse Problems](https://online.neatra.in/product/inverse-problems/): This textbook is an introduction to the subject of inverse problems with an emphasis on practical solution methods and applications from geophysics. The treatment is mathematically rigorous, relying on calculus and linear algebra only| familiarity with more advanced mathematical theories like functional analysis is not required. - [Inverse M-Matrices and Ultrametric Matrices](https://online.neatra.in/product/inverse-m-matrices-and-ultrametric-matrices/): Provides a unified algebraic and probabilistic approach Describes graphs and algorithms for inverse M-matrices Gives examples and fields of applications of M-matrices - [Inverse Magnetometry: Mollifier Magnetization Distribution from Geomagnetic Field Data](https://online.neatra.in/product/inverse-magnetometry-mollifier-magnetization-distribution-from-geomagnetic-field-data/): First monograph to explore methods of modeling geologic strata through mollifier magnetometric techniques Demonstrates how problems in magnetometry can be reduced to calculable decorrelated models Highlights the role of geomathematics as a bridge between mathematical theory and geotechnical applications - [Invariants for Real-Generated Uniform Topological and Algebraic Categories](https://online.neatra.in/product/invariants-for-real-generated-uniform-topological-and-algebraic-categories/) - [Invariant Theory: Proceedings of the 1st 1982 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini, Italy, June 10-18, 1982](https://online.neatra.in/product/invariant-theory-proceedings-of-the-1st-1982-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-at-montecatini-italy-june-10-18-1982/) - [Invariant Measures for Stochastic Nonlinear Schrödinger Equations](https://online.neatra.in/product/invariant-measures-for-stochastic-nonlinear-schrodinger-equations/): This book provides some recent advance in the study of stochastic nonlinear Schrödinger equations and their numerical approximations, including the well-posedness, ergodicity, symplecticity and multi-symplecticity. - [Invariant Manifolds, Entropy and Billiards. Smooth Maps with Singularities](https://online.neatra.in/product/invariant-manifolds-entropy-and-billiards-smooth-maps-with-singularities/) - [Invariant Manifolds](https://online.neatra.in/product/invariant-manifolds/) - [Invariant Factors, Julia Equivalences and the (Abstract) Mandelbrot Set](https://online.neatra.in/product/invariant-factors-julia-equivalences-and-the-abstract-mandelbrot-set/): This book is mainly devoted to the combinatorics of quadratic holomorphic dynamics. The conceptual kernel is a self-contained abstract counterpart of connected quadratic Julia sets which is built on Thurston's concept of a quadratic invariant lamination and on symbolic descriptions of the angle-doubling map. - [Invariance Entropy for Deterministic Control Systems: An Introduction](https://online.neatra.in/product/invariance-entropy-for-deterministic-control-systems-an-introduction/): The first book to present results on the relatively new notions of feedback and invariance entropy Provides detailed proofs of all key results, together with a comprehensive exposition of the mathematical background material used therein Will be particularly interesting for readers with a background in dynamical systems theory The basic knowledge of control theory needed for its understanding is presented at great length in the first chapter Includes supplementary material: sn.pub/extras - [Invariance and System Theory: Algebraic and Geometric Aspects](https://online.neatra.in/product/invariance-and-system-theory-algebraic-and-geometric-aspects/) - [Introductory Statistics and Random Phenomena: Uncertainty, Complexity and Chaotic Behavior in Engineering and Science](https://online.neatra.in/product/introductory-statistics-and-random-phenomena-uncertainty-complexity-and-chaotic-behavior-in-engineering-and-science/): This textbook integrates traditional statistical data analysis with new computational experimentation capabilities and concepts of algorithmic complexity and chaotic behavior in nonlinear dynamic systems. This was the first advanced text/reference to bring together such a comprehensive variety of tools for the study of random phenomena occurring in engineering and the natural, life, and social sciences. - [Introductory Mathematics: Applications and Methods](https://online.neatra.in/product/introductory-mathematics-applications-and-methods/): A book for students to read before university to give themselves a head-start - Completely self-contained, with solutions provided to exercises of varying difficulty - Alternatively, universities may choose to base their first- semester course on this book - Applications and examples given from both physics and economics - [Introductory Mathematics: Algebra and Analysis](https://online.neatra.in/product/introductory-mathematics-algebra-and-analysis/): A book for students to read before university Completely self-contained, readers can work their own way through and check their understanding against the many solutions provided to exercises of varying difficulty Lively style provides an interesting read Includes supplementary material: sn.pub/extras - [Introduction to the Theory of Lie Groups](https://online.neatra.in/product/introduction-to-the-theory-of-lie-groups/): Written in the authorÂ’s inimitable style Includes full background on topological groups and group quotients Contains many exercises and concrete examples Requires only basic knowledge of topology and algebra Includes supplementary material: sn.pub/extras - [Introduction to the Theory of Analytic Spaces](https://online.neatra.in/product/introduction-to-the-theory-of-analytic-spaces/) - [Introduction to Symplectic Dirac Operators](https://online.neatra.in/product/introduction-to-symplectic-dirac-operators/): Katharina Habermann is awarded by the "Gerhard Hess Preis 2000" – a research prize of the German Research Foundation (DFG) for excellent young researchers Includes supplementary material: sn.pub/extras - [Introduction to Supergravity](https://online.neatra.in/product/introduction-to-supergravity/): This book is a pedagogical introduction to supergravity for graduate students and non-expert researchers Supergravities in four and higher dimensional spacetime are discussed from a standpoint of superstring theory Non-compact symmetries of supergravity including electro-magnetic duality symmetries are discussed in detail Includes supplementary material: sn.pub/extras - [Introduction to Stokes Structures](https://online.neatra.in/product/introduction-to-stokes-structures/): A first part on the classical theory of linear differential equations in the complex domain revisited from a geometric view point. Original and new study of the Stokes phenomenon in higher dimension. Application to classical problems in distribution theory. Includes supplementary material: sn.pub/extras - [Introduction to Stochastic Finance](https://online.neatra.in/product/introduction-to-stochastic-finance/): This book gives a systematic introduction to the basic theory of financial mathematics, with an emphasis on applications of martingale methods in pricing and hedging of contingent claims, interest rate term structure models, and expected utility maximization problems. - [Introduction to Statistics Using R](https://online.neatra.in/product/introduction-to-statistics-using-r/): Introduction to Statistics Using R is organized into 13 major chapters. Each chapter is broken down into many digestible subsections in order to explore the objectives of the book. - [Introduction to Sofic and Hyperlinear Groups and Connes' Embedding Conjecture](https://online.neatra.in/product/introduction-to-sofic-and-hyperlinear-groups-and-connes-embedding-conjecture/): Accessible to anyone with a graduate-level mathematical background Includes many exercises to help the reader to learn quickly Presents some outstanding open problems in group theory and operator algebras - [Introduction to Scientific Programming with Python](https://online.neatra.in/product/introduction-to-scientific-programming-with-python/): Practical and example-based presentation quickly enables readers to start writing their own programs The book combines practical tools of computational science with fundamental and generic programming concepts, including object-oriented programming Provides a compact introduction to the essential building blocks of programs for data-centric and computational applications - [Introduction to Ring Theory](https://online.neatra.in/product/introduction-to-ring-theory/): Paul Cohn is a well-known expositor and expert in the field This book follows on from the SUMS book "Groups, Rings and Fields" by David Wallace Includes supplementary material: sn.pub/extras - [Introduction to Reaction-Diffusion Equations](https://online.neatra.in/product/introduction-to-reaction-diffusion-equations/): This book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts.The first part is an introduction to the maximum principle, the theory of principal eigenvalues for elliptic and periodic-parabolic equations and systems, and the theory of principal Floquet bundles. - [Introduction to Operator Theory I: Elements of Functional Analysis](https://online.neatra.in/product/introduction-to-operator-theory-i-elements-of-functional-analysis/): This book was written expressly to serve as a textbook for a one- or two-semester introductory graduate course in functional analysis. - [Introduction to Nonlinear Dispersive Equations](https://online.neatra.in/product/introduction-to-nonlinear-dispersive-equations/): This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two key models, the Korteweg–de Vries equation and the nonlinear Schrödinger equation. - [Logic and Structure](https://online.neatra.in/product/logic-and-structure/): Features a self-contained introduction into classical and intuitionistic logic using GentzenÂ’s natural deduction Includes the basics of recursion, proof and model theory (including a new section on ultraproducts) Gives a comprehensive account of GoedelÂ’s Incompleteness Theorem within the framework of natural deduction Includes supplementary material: sn.pub/extras - [Logic and Computer Science: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, June 20-28, 1988](https://online.neatra.in/product/logic-and-computer-science-lectures-given-at-the-1st-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-at-montecatini-terme-italy-june-20-28-1988/): The courses given at the 1st C.I.M.E. Summer School of 1988 dealt with the main areas on the borderline between applied logic and theoretical computer science. These courses are recorded here in five expository papers: S. Homer: The Isomorphism Conjecture and its Generalization.- A. Nerode: Some Lectures on Intuitionistic Logic.- R.A. Platek: Making Computers Safe for the World. An Introduction to Proofs of Programs. Part I. - G.E. Sacks: Prolog Programming.- A. Scedrov: A Guide to Polymorphic Types. - [Loeb Measures in Practice: Recent Advances: EMS Lectures 1997](https://online.neatra.in/product/loeb-measures-in-practice-recent-advances-ems-lectures-1997/): Includes supplementary material: sn.pub/extras - [Locating Eigenvalues in Graphs](https://online.neatra.in/product/locating-eigenvalues-in-graphs/): This book focuses on linear time eigenvalue location algorithms for graphs. This subject relates to spectral graph theory, a field that combines tools and concepts of linear algebra and combinatorics, with applications ranging from image processing and data analysis to molecular descriptors and random walks. - [Locally Semialgebraic Spaces](https://online.neatra.in/product/locally-semialgebraic-spaces/) - [Locally Interacting Systems and Their Application in Biology: Proceedings of the School-Seminar on Markov Processes in Biology, Held in Pushchino, Moscow Region, March, 1976](https://online.neatra.in/product/locally-interacting-systems-and-their-application-in-biology-proceedings-of-the-school-seminar-on-markov-processes-in-biology-held-in-pushchino-moscow-region-march-1976/) - [Locally Convex Quasi *-Algebras and their Representations](https://online.neatra.in/product/locally-convex-quasi-algebras-and-their-representations/): Important for applications in Mathematical Physics Will be of interest to researchers in topological algebras Suitable as a textbook for PhD courses Includes an appendix on *-algebras useful for advanced masters students - [Localization in Group Theory and Homotopy Theory and Related Topics: Battelle Seattle 1974 Seminar](https://online.neatra.in/product/localization-in-group-theory-and-homotopy-theory-and-related-topics-battelle-seattle-1974-seminar/) - [Local Times and Excursion Theory for Brownian Motion: A Tale of Wiener and Itô Measures](https://online.neatra.in/product/local-times-and-excursion-theory-for-brownian-motion-a-tale-of-wiener-and-ito-measures/): Both local times and excursion theory are usually discussed in much longer texts. We examine these topics in relation to readersÂ’ basic knowledge of stochastic processes Presents interesting applications of excursion theory Similarly with local times of Brownian motion Includes supplementary material: sn.pub/extras - [Local Theory of Nonlinear Analytic Ordinary Differential Equations](https://online.neatra.in/product/local-theory-of-nonlinear-analytic-ordinary-differential-equations/) - [Local Systems in Algebraic-Arithmetic Geometry](https://online.neatra.in/product/local-systems-in-algebraic-arithmetic-geometry/): The topological fundamental group of a smooth complex algebraic variety is poorly understood. One way to approach it is to consider its complex linear representations modulo conjugation, that is, its complex local systems. - [Local Semi-Dynamical Systems](https://online.neatra.in/product/local-semi-dynamical-systems/) - [Local Operators and Markov Processes](https://online.neatra.in/product/local-operators-and-markov-processes/) - [Local Newforms for GSp(4)](https://online.neatra.in/product/local-newforms-for-gsp4/): Includes supplementary material: sn.pub/extras - [Local Moduli and Singularities](https://online.neatra.in/product/local-moduli-and-singularities/): This research monograph sets out to study the notion of a local moduli suite of algebraic objects like e.g. schemes, singularities or Lie algebras and provides a framework for this. The basic idea is to work with the action of the kernel of the Kodaira-Spencer map, on the base space of a versal family. - [Local Minimization, Variational Evolution and G-Convergence](https://online.neatra.in/product/local-minimization-variational-evolution-and-g-convergence/): Provides connections between topics of active current research Presents the subjects with examples from the main areas that have made Gamma-convergence so successful Proposes numerous examples of directions of further research Includes supplementary material: sn.pub/extras - [Local Lyapunov Exponents: Sublimiting Growth Rates of Linear Random Differential Equations](https://online.neatra.in/product/local-lyapunov-exponents-sublimiting-growth-rates-of-linear-random-differential-equations/): Includes supplementary material: sn.pub/extras - [Local Limit Theorems for Inhomogeneous Markov Chains](https://online.neatra.in/product/local-limit-theorems-for-inhomogeneous-markov-chains/): This book extends the local central limit theorem to Markov chains whose state spaces and transition probabilities are allowed to change in time. Such chains are used to model Markovian systems depending on external time-dependent parameters. - [Local Features in Natural Images via Singularity Theory](https://online.neatra.in/product/local-features-in-natural-images-via-singularity-theory/): This monograph considers a basic problem in the computer analysis of natural images, which are images of scenes involving multiple objects that are obtained by a camera lens or a viewerÂ’s eye. The goal is to detect geometric features of objects in the image and to separate regions of the objects with distinct visual properties. - [Local Cohomology: A Seminar Given by A. Groethendieck, Harvard University. Fall, 1961](https://online.neatra.in/product/local-cohomology-a-seminar-given-by-a-groethendieck-harvard-university-fall-1961/) - [Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems: Results and Examples](https://online.neatra.in/product/local-and-semi-local-bifurcations-in-hamiltonian-dynamical-systems-results-and-examples/): Includes supplementary material: sn.pub/extras - [Local Analysis of Selberg's Trace Formula](https://online.neatra.in/product/local-analysis-of-selbergs-trace-formula/) - [Lipschitz Functions](https://online.neatra.in/product/lipschitz-functions/): Winner of the 2019 Prize DIMITRIE POMPEIU of the Romanian Academy Full treatment of basic properties of Lipschitz functions with numerous examples A thorough presentation of various extension results for (scalar and vector) Lipschitz functions Full treatment of Banach spaces of Lipschitz functions and of operators acting on them A presentation of Lipschitz free Banach spaces with applications to Kantorovich duality in the mass transportation problem - [Liouville-Riemann-Roch Theorems on Abelian Coverings](https://online.neatra.in/product/liouville-riemann-roch-theorems-on-abelian-coverings/): The first unified exposition of Liouville and Riemann–Roch type theorems for elliptic operators on abelian coverings Gives a well-organized and self-contained exposition of the topic, including new results Intersects with geometric analysis, the spectral theory of periodic operators, and their applications - [Link Theory in Manifolds](https://online.neatra.in/product/link-theory-in-manifolds/): Any topological theory of knots and links should be based on simple ideas of intersection and linking. In this book, a general theory of link bordism in manifolds and universal constructions of linking numbers in oriented 3-manifolds are developed. - [Linear und Complex Analysis Problem Book: 199 Research Problems](https://online.neatra.in/product/linear-und-complex-analysis-problem-book-199-research-problems/) - [Linear Time-Invariant Systems, Behaviors and Modules](https://online.neatra.in/product/linear-time-invariant-systems-behaviors-and-modules/): This book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time. - [Linear Spaces with Few Lines](https://online.neatra.in/product/linear-spaces-with-few-lines/): A famous theorem in the theory of linear spaces states that every finite linear space has at least as many lines as points. This result of De Bruijn and Erd|s led to the conjecture that every linear space with "few lines" canbe obtained from a projective plane by changing only a small part of itsstructure - [Linear Pro-p-Groups of Finite Width](https://online.neatra.in/product/linear-pro-p-groups-of-finite-width/): The normal subgroup structure of maximal pro-p-subgroups of rational points of algebraic groups over the p-adics and their characteristic p analogues are investigated. These groups have finite width, i.e. the indices of the sucessive terms of the lower central series are bounded since they become periodic. - [Linear Operators in Hilbert Spaces](https://online.neatra.in/product/linear-operators-in-hilbert-spaces/): This English edition is almost identical to the German original Lineare Operatoren in Hilbertriiumen, published by B. G. Teubner, Stuttgart in 1976. A few proofs have been simplified, some additional exercises have been included, and a small number of new results has been added (e.g., Theorem 11.11 and Theorem 11.23). - [Linear Elliptic Differential Systems and Eigenvalue Problems](https://online.neatra.in/product/linear-elliptic-differential-systems-and-eigenvalue-problems/) - [Linear Differential Equations in the Complex Domain](https://online.neatra.in/product/linear-differential-equations-in-the-complex-domain/): This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems. Starting from the basic theory of linear ordinary differential equations and integrable systems, it proceeds to describe Katz theory and its applications, extending it to the case of several variables. - [Linear Determinants with Applications to the Picard Scheme of a Family of Algebraic Curves](https://online.neatra.in/product/linear-determinants-with-applications-to-the-picard-scheme-of-a-family-of-algebraic-curves/) - [Linear Delay-Differential Systems with Commensurate Delays: An Algebraic Approach](https://online.neatra.in/product/linear-delay-differential-systems-with-commensurate-delays-an-algebraic-approach/): Includes supplementary material: sn.pub/extras - [Linear and Complex Analysis Problem Book 3: Part 2](https://online.neatra.in/product/linear-and-complex-analysis-problem-book-3-part-2/): The 2-volume book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research. - [Linear and Complex Analysis Problem Book 3: Part 1](https://online.neatra.in/product/linear-and-complex-analysis-problem-book-3-part-1/): The 2-volume book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research. - [Linear Algebra for the Sciences](https://online.neatra.in/product/linear-algebra-for-the-sciences/): This book is based on a course for first-semester science students, held by the second author at the University of Zurich several times. Its goal is threefold: to have students learn a minimal working knowledge of linear algebra, acquire some computational skills, and familiarize them with mathematical language to make mathematical literature more accessible - [Limit Theorems for Unions of Random Closed Sets](https://online.neatra.in/product/limit-theorems-for-unions-of-random-closed-sets/): The book concerns limit theorems and laws of large numbers for scaled unionsof independent identically distributed random sets. These results generalizewell-known facts from the theory of extreme values. - [Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups](https://online.neatra.in/product/limit-theorems-for-some-long-range-random-walks-on-torsion-free-nilpotent-groups/): This book develops limit theorems for a natural class of long range random walks on finitely generated torsion free nilpotent groups. The limits in these limit theorems are Lévy processes on some simply connected nilpotent Lie groups. - [Limit Theorems for Markov Chains and Stochastic Properties of Dynamical Systems by Quasi-Compactness](https://online.neatra.in/product/limit-theorems-for-markov-chains-and-stochastic-properties-of-dynamical-systems-by-quasi-compactness/): Includes supplementary material: sn.pub/extras - [Lie Semigroups and their Applications](https://online.neatra.in/product/lie-semigroups-and-their-applications/): Subsemigroups of finite-dimensional Lie groups that are generated by one-parameter semigroups are the subject of this book. It covers basic Lie theory for such semigroups and some closely related topics. - [Lie Groups and Quantum Mechanics](https://online.neatra.in/product/lie-groups-and-quantum-mechanics/) - [Lie Group Representations III: Proceedings of the Special Year held at the University of Maryland, College Park 1982-1983](https://online.neatra.in/product/lie-group-representations-iii-proceedings-of-the-special-year-held-at-the-university-of-maryland-college-park-1982-1983/) - [Lie Group Representations II: Proceedings of the Special Year held at the University of Maryland, College Park, 1982-1983](https://online.neatra.in/product/lie-group-representations-ii-proceedings-of-the-special-year-held-at-the-university-of-maryland-college-park-1982-1983/) - [Lie Group Representations I: Proceedings of the Special Year held at the University of Maryland, College Park, 1982-1983](https://online.neatra.in/product/lie-group-representations-i-proceedings-of-the-special-year-held-at-the-university-of-maryland-college-park-1982-1983/) - [Lie Algebras: Madison 1987. Proceedings of a Workshop held in Madison, Wisconsin, August 23-28, 1987](https://online.neatra.in/product/lie-algebras-madison-1987-proceedings-of-a-workshop-held-in-madison-wisconsin-august-23-28-1987/): During the academic year 1987-1988 the University of Wisconsin in Madison hosted a Special Year of Lie Algebras. A Workshop on Lie Algebras, of which these are the proceedings, inaugurated the special year. - [Lie Algebras and Related Topics: Proceedings of a Conference Held at New Brunswick, New Jersey, May 29-31, 1981](https://online.neatra.in/product/lie-algebras-and-related-topics-proceedings-of-a-conference-held-at-new-brunswick-new-jersey-may-29-31-1981/) - [Lie Algebras and Lie Groups: 1964 Lectures given at Harvard University](https://online.neatra.in/product/lie-algebras-and-lie-groups-1964-lectures-given-at-harvard-university/): Includes supplementary material: sn.pub/extras - [Lie Algebras](https://online.neatra.in/product/lie-algebras/) - [L-Functions and the Oscillator Representation](https://online.neatra.in/product/l-functions-and-the-oscillator-representation/): These notes are concerned with showing the relation between L-functions of classical groups (*F1 in particular) and *F2 functions arising from the oscillator representation of the dual reductive pair *F1 *F3 O(Q). The problem of measuring the nonvanishing of a *F2 correspondence by computing the Petersson inner product of a *F2 lift from *F1 to O(Q) is considered. - [Lévy Matters VI: Lévy-Type Processes: Moments, Construction and Heat Kernel Estimates](https://online.neatra.in/product/levy-matters-vi-levy-type-processes-moments-construction-and-heat-kernel-estimates/): Presenting some recent results on the construction and the moments of Lévy-type processes, the focus of this volume is on a new existence theorem, which is proved using a parametrix construction. Applications range from heat kernel estimates for a class of Lévy-type processes to existence and uniqueness theorems for Lévy-driven stochastic differential equations with Hölder continuous coefficients. - [Lévy Matters V: Functionals of Lévy Processes](https://online.neatra.in/product/levy-matters-v-functionals-of-levy-processes/): This three-chapter volume concerns the distributions of certain functionals of Lévy processes. - [Lévy Matters IV: Estimation for Discretely Observed Lévy Processes](https://online.neatra.in/product/levy-matters-iv-estimation-for-discretely-observed-levy-processes/): The aim of this volume is to provide an extensive account of the most recent advances in statistics for discretely observed Lévy processes. These days, statistics for stochastic processes is a lively topic, driven by the needs of various fields of application, such as finance, the biosciences, and telecommunication. - [Lévy Matters III: Lévy-Type Processes - Construction, Approximation and Sample Path Properties](https://online.neatra.in/product/levy-matters-iii-levy-type-processes-construction-approximation-and-sample-path-properties/): Over the past 10-15 years, we have seen a revival of general Lévy process theory, as well as a burst of new applications. There is a lively and growing research community in this area Expository articles help to disseminate important theoretical and applied research, especially to young researchers like PhD students and postdocs The respective chapters will appeal to various target groups Presents a unique blend of analysis and stochastics, with many findings appearing for the first time in a monograph Includes supplementary material: sn.pub/extras - [Lévy Matters II: Recent Progress in Theory and Applications: Fractional Lévy Fields, and Scale Functions](https://online.neatra.in/product/levy-matters-ii-recent-progress-in-theory-and-applications-fractional-levy-fields-and-scale-functions/): Over the past 10-15 years, we have seen a revival of general Lévy processes theory as well as a burst of new applications There is a lively and growing research community in this area Expository articles help to disseminate important theoretical and applied research to other researchers and in particular to young researchers like PhD students and Postdocs Chapters attract different focus groups of readers Includes supplementary material: sn.pub/extras - [Lévy Matters I: Recent Progress in Theory and Applications: Foundations, Trees and Numerical Issues in Finance](https://online.neatra.in/product/levy-matters-i-recent-progress-in-theory-and-applications-foundations-trees-and-numerical-issues-in-finance/): Over the past 10-15 years, we have seen a revival of general Lévy processes theory as well as a burst of new applications There is a lively and growing research community in this area Expository articles help to disseminate important theoretical and applied research to other researchers and in particular to young researchers like PhD students and Postdocs Chapters attract different focus groups of readers Includes supplementary material: sn.pub/extras - [Leveraged Exchange-Traded Funds](https://online.neatra.in/product/leveraged-exchange-traded-funds/): This book provides an analysis, under both discrete-time and continuous-time frameworks, on the price dynamics of leveraged exchange-traded funds (LETFs), with emphasis on the roles of leverage ratio, realized volatility, investment horizon, and tracking errors. This study provides new insights on the risks associated with LETFs. - [Level Set and PDE Based Reconstruction Methods in Imaging: Cetraro, Italy 2008, Editors: Martin Burger, Stanley Osher](https://online.neatra.in/product/level-set-and-pde-based-reconstruction-methods-in-imaging-cetraro-italy-2008-editors-martin-burger-stanley-osher/): Examines a very timely subject at the core of mathematical imaging, a field growing at enormous speed State of the art methods in image analysis, image reconstruction and shape analysis, combining analysis, computation, and applications will attract researchers from a broad range of fields (mathematics, computer sciences, engineering,...) There is no comparable volume on the subjects covered Includes supplementary material: sn.pub/extras - [Left Principal Ideal Rings](https://online.neatra.in/product/left-principal-ideal-rings/) - [Lectures on Transcendental Numbers](https://online.neatra.in/product/lectures-on-transcendental-numbers/) - [Lectures on the Theory of Algebraic Functions of One Variable](https://online.neatra.in/product/lectures-on-the-theory-of-algebraic-functions-of-one-variable/) - [Lectures on the Eilenberg-Moore Spectral Sequence](https://online.neatra.in/product/lectures-on-the-eilenberg-moore-spectral-sequence/) - [Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds](https://online.neatra.in/product/lectures-on-the-automorphism-groups-of-kobayashi-hyperbolic-manifolds/): Includes supplementary material: sn.pub/extras - [Lectures on the Action of a Finite Group](https://online.neatra.in/product/lectures-on-the-action-of-a-finite-group/) - [Lectures on Symplectic Geometry](https://online.neatra.in/product/lectures-on-symplectic-geometry/): Includes supplementary material: sn.pub/extras - [Lectures on Summability](https://online.neatra.in/product/lectures-on-summability/) - [Lectures on Seiberg-Witten Invariants](https://online.neatra.in/product/lectures-on-seiberg-witten-invariants/): Riemannian, symplectic and complex geometry are often studied by means ofsolutions to systems of nonlinear differential equations, such as the equa­tions of geodesics, minimal surfaces, pseudoholomorphic curves and Yang­ Mills connections. For studying such equations, a new unified technology has been developed, involving analysis on infinite-dimensional manifolds. - [Lectures on Probability Theory: Ecole d'Ete de Probabilites de Saint-Flour XXIII - 1993](https://online.neatra.in/product/lectures-on-probability-theory-ecole-dete-de-probabilites-de-saint-flour-xxiii-1993/): This book contains two of the three lectures given at the Saint-Flour Summer School of Probability Theory during the period August 18 to September 4, 1993. - [Lectures on Probability Theory: Ecole d'Ete de Probabilites de Saint-Flour XXII - 1992](https://online.neatra.in/product/lectures-on-probability-theory-ecole-dete-de-probabilites-de-saint-flour-xxii-1992/): This book contains work-outs of the notes of three 15-hour courses of lectures which constitute surveys on the concerned topics given at the St. Flour Probability Summer School in July 1992. The first course, by D. Bakry, is concerned with hypercontractivity properties and their use in semi-group theory, namely Sobolev and Log Sobolev inequa- lities, with estimations on the density of the semi-groups. - [Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003](https://online.neatra.in/product/lectures-on-probability-theory-and-statistics-ecole-dete-de-probabilites-de-saint-flour-xxxiii-2003/): Includes supplementary material: sn.pub/extras - [Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXXII - 2002](https://online.neatra.in/product/lectures-on-probability-theory-and-statistics-ecole-dete-de-probabilites-de-saint-flour-xxxii-2002/): Includes supplementary material: sn.pub/extras - [Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001](https://online.neatra.in/product/lectures-on-probability-theory-and-statistics-ecole-dete-de-probabilites-de-saint-flour-xxxi-2001/): Includes supplementary material: sn.pub/extras - [Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXX - 2000](https://online.neatra.in/product/lectures-on-probability-theory-and-statistics-ecole-dete-de-probabilites-de-saint-flour-xxx-2000/): In World Mathematical Year 2000 the traditional St. Flour Summer School was hosted jointly with the European Mathematical Society. Sergio Albeverio reviews the theory of Dirichlet forms, and gives applications including partial differential equations, stochastic dynamics of quantum systems, quantum fields and the geometry of loop spaces. - [Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXVIII - 1998](https://online.neatra.in/product/lectures-on-probability-theory-and-statistics-ecole-dete-de-probabilites-de-saint-flour-xxviii-1998/): This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during 17th Aug. - 3rd Sept. 1998. The contents of the three courses are the following: - Continuous martingales on differential manifolds. - Topics in non-parametric statistics. - Free probability theory. - [Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXVII - 1997](https://online.neatra.in/product/lectures-on-probability-theory-and-statistics-ecole-dete-de-probabilites-de-saint-flour-xxvii-1997/): Includes supplementary material: sn.pub/extras - [Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXVI - 1996](https://online.neatra.in/product/lectures-on-probability-theory-and-statistics-ecole-dete-de-probabilites-de-saint-flour-xxvi-1996/) - [Lectures on Probability Theory and Statistics: Ecole d'Ete de Probabilites de Saint-Flour XXV - 1995](https://online.neatra.in/product/lectures-on-probability-theory-and-statistics-ecole-dete-de-probabilites-de-saint-flour-xxv-1995/): This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during the period 10th - 26th July, 1995. These lectures are at a postgraduate research level. They are works of reference in their domain. - [Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXIX - 1999](https://online.neatra.in/product/lectures-on-probability-theory-and-statistics-ecole-dete-de-probabilites-de-saint-flour-xxix-1999/): Includes supplementary material: sn.pub/extras - [Lectures on Probability Theory and Statistics: Ecole d' Ete de Probabilites de St. Flour XXIV - 1994](https://online.neatra.in/product/lectures-on-probability-theory-and-statistics-ecole-d-ete-de-probabilites-de-st-flour-xxiv-1994/) - [Lectures on Prediction Theory: Delivered at the University Erlangen-Nürnberg 1966](https://online.neatra.in/product/lectures-on-prediction-theory-delivered-at-the-university-erlangen-nurnberg-1966/) - [Lectures on p-Divisible Groups](https://online.neatra.in/product/lectures-on-p-divisible-groups/) - [Lectures on Optimal Transport](https://online.neatra.in/product/lectures-on-optimal-transport/): Book suitable for a Phd course in Optimal transport and applications Contents refined on the basis of the 20 years teaching experience of the first author Hints at the most recent developments in the research field - [Lectures on Non- Standard Analysis](https://online.neatra.in/product/lectures-on-non-standard-analysis/) - [Lectures on n-Dimensional Quasiconformal Mappings](https://online.neatra.in/product/lectures-on-n-dimensional-quasiconformal-mappings/) - [Lectures on Mappings of Finite Distortion](https://online.neatra.in/product/lectures-on-mappings-of-finite-distortion/): Self-contained introduction to an active, important and interesting field of research Includes an Appendix with several basic results on Real Analysis, theory of Sobolev functions and Geometric Measure Theory Suitable for any PhD student looking for an introduction to the subject Includes supplementary material: sn.pub/extras - [Lectures on Injective Modules and Quotient Rings](https://online.neatra.in/product/lectures-on-injective-modules-and-quotient-rings/) - [Lectures on Gleason Parts](https://online.neatra.in/product/lectures-on-gleason-parts/) - [Lectures on Functional Analysis and the Lebesgue Integral](https://online.neatra.in/product/lectures-on-functional-analysis-and-the-lebesgue-integral/): This textbook, based on three series of lectures held by the author at the University of Strasbourg, presents functional analysis in a non-traditional way by generalizing elementary theorems of plane geometry to spaces of arbitrary dimension. This approach leads naturally to the basic notions and theorems. - [Lectures on Formally Real Fields](https://online.neatra.in/product/lectures-on-formally-real-fields/): Absolute values and their completions - like the p-adic number fields- play an important role in number theory. Krull's generalization of absolute values to valuations made applications in other branches of mathematics, such as algebraic geometry, possible. - [Lectures on Formal and Rigid Geometry](https://online.neatra.in/product/lectures-on-formal-and-rigid-geometry/): The aim of this work is to offer a concise and self-contained 'lecture-style' introduction to the theory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal means of learning advanced rigid geometry, regardless of the reader's level of background. - [Lectures on Dependency: Selected Topics in Multivariate Statistics](https://online.neatra.in/product/lectures-on-dependency-selected-topics-in-multivariate-statistics/): This short book elaborates on selected aspects of stochastic-statistical dependencies in multivariate statistics. Each chapter provides a rigorous and self-contained treatment of one specific topic, poses a particular problem within its scope, and concludes by presenting its solution. - [Lectures on Choquet's Theorem](https://online.neatra.in/product/lectures-on-choquets-theorem/): Includes supplementary material: sn.pub/extras - [Lectures on Amenability](https://online.neatra.in/product/lectures-on-amenability/): Includes supplementary material: sn.pub/extras - [Lectures on Algebraic and Differential Topology: Delivered at the 2. ELAM](https://online.neatra.in/product/lectures-on-algebraic-and-differential-topology-delivered-at-the-2-elam/) - [Lectures in Set Theory: With Particular Emphasis on the Method of Forcing](https://online.neatra.in/product/lectures-in-set-theory-with-particular-emphasis-on-the-method-of-forcing/) - [Lectures in Probability and Statistics: Lectures Given at the Winter School in Probability and Statistics Held in Santiago de Chile](https://online.neatra.in/product/lectures-in-probability-and-statistics-lectures-given-at-the-winter-school-in-probability-and-statistics-held-in-santiago-de-chile/) - [Lectures in Modern Analysis and Applications III](https://online.neatra.in/product/lectures-in-modern-analysis-and-applications-iii/) - [Lectures in Modern Analysis and Applications II](https://online.neatra.in/product/lectures-in-modern-analysis-and-applications-ii/) - [Lectures in Modern Analysis and Applications I](https://online.neatra.in/product/lectures-in-modern-analysis-and-applications-i/) - [Lectures in Functional Analysis and Operator Theory](https://online.neatra.in/product/lectures-in-functional-analysis-and-operator-theory/) - [Measure Theory: Proceedings of the Conference Held at Oberwolfach, 15-21 June, 1975](https://online.neatra.in/product/measure-theory-proceedings-of-the-conference-held-at-oberwolfach-15-21-june-1975/) - [Measure Theory. Applications to Stochastic Analysis: Proceedings, Oberwolfach Conference, Germany, July 3-9, 1977](https://online.neatra.in/product/measure-theory-applications-to-stochastic-analysis-proceedings-oberwolfach-conference-germany-july-3-9-1977/) - [Measure Theory, Probability, and Stochastic Processes](https://online.neatra.in/product/measure-theory-probability-and-stochastic-processes/): Provides a rigorous treatment of measure theory geared towards the general theory of stochastic processes Highlights the interplay between probability and other areas of mathematics such as complex variables or PDE's Appeals to mathematicians and scientists in need of a thorough knowledge of probability theory - [Measure Theory, Oberwolfach 1981: Proceedings of the Conference Held at Oberwolfach, Germany, June 21-27, 1981](https://online.neatra.in/product/measure-theory-oberwolfach-1981-proceedings-of-the-conference-held-at-oberwolfach-germany-june-21-27-1981/) - [Measure Theory Oberwolfach 1983: Proceedings of the Conference held at Oberwolfach, June 26-July 2, 1983](https://online.neatra.in/product/measure-theory-oberwolfach-1983-proceedings-of-the-conference-held-at-oberwolfach-june-26-july-2-1983/) - [Measure Theory Oberwolfach 1979: Proceedings of the Conference Held at Oberwolfach, Germany, July 1-7, 1979](https://online.neatra.in/product/measure-theory-oberwolfach-1979-proceedings-of-the-conference-held-at-oberwolfach-germany-july-1-7-1979/) - [Measure Theory and its Applications: Proceedings of a Conference held at Sherbrooke, Quebec, Canada, June 7-18, 1982](https://online.neatra.in/product/measure-theory-and-its-applications-proceedings-of-a-conference-held-at-sherbrooke-quebec-canada-june-7-18-1982/) - [Measure and Integral](https://online.neatra.in/product/measure-and-integral/): The Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied. This textbook is a concise, lecture-tested introduction to measure and integration theory. - [Means of Hilbert Space Operators](https://online.neatra.in/product/means-of-hilbert-space-operators/): The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. - [Mean Field Games](https://online.neatra.in/product/mean-field-games/): This volume provides an introduction to the theory of Mean Field Games, suggested by J.-M. Lasry and P.-L. Lions in 2006 as a mean-field model for Nash equilibria in the strategic interaction of a large number of agents. - [Matrix Pencils: Proceedings of a Conference Held at Pite Havsbad, Sweden, March 22-24, 1982](https://online.neatra.in/product/matrix-pencils-proceedings-of-a-conference-held-at-pite-havsbad-sweden-march-22-24-1982/) - [Matrix Methods in Analysis](https://online.neatra.in/product/matrix-methods-in-analysis/) - [Matrix Inequalities](https://online.neatra.in/product/matrix-inequalities/): Includes supplementary material: sn.pub/extras - [Matrix Groups: An Introduction to Lie Group Theory](https://online.neatra.in/product/matrix-groups-an-introduction-to-lie-group-theory/): Only introduction to Lie group theory aimed at the undergraduate Discusses applications in mathematics and physics Provides a self-contained introduction to Lie groups and serves as a foundation for a more abstract course in Lie theory and differential geometry Uses solved examples and exercises to build the reader's confidence in a subject that can be difficult to tackle - [Matrix Convolution Operators on Groups](https://online.neatra.in/product/matrix-convolution-operators-on-groups/): Includes supplementary material: sn.pub/extras - [Maths for Social Sciences](https://online.neatra.in/product/maths-for-social-sciences/): This book is aimed at students in social sciences programs that include some course in quantitative methods. Stats for social sciences is frequently the subject of textbooks, while maths for social sciences is often neglected: monographs on specific themes (like, for instance, social choice systems or game theory applications) are available, but they do not adequately cover the topic in general. - [Mathieu Functions and Spheroidal Functions and their Mathematical Foundations: Further Studies](https://online.neatra.in/product/mathieu-functions-and-spheroidal-functions-and-their-mathematical-foundations-further-studies/) - [Mathematics of Surfaces: 10th IMA International Conference, Leeds, UK, September 15-17, 2003, Proceedings](https://online.neatra.in/product/mathematics-of-surfaces-10th-ima-international-conference-leeds-uk-september-15-17-2003-proceedings/): Includes supplementary material: sn.pub/extras - [Mathematics of Open Fluid Systems](https://online.neatra.in/product/mathematics-of-open-fluid-systems/): Presents a mathematical theory of open fluid systems in the context of continuum thermodynamics Develops a concept of weak solutions based on entropy rather than the energy balance equation Considers the statistical theory of turbulence and the validity of the ergodic hypothesis - [Mathematics of Finance: An Intuitive Introduction](https://online.neatra.in/product/mathematics-of-finance-an-intuitive-introduction/): Promotes critical thinking skills to develop intuition about financial options Highlights the mathematical concepts fundamental to finance by offering an intuitive approach Offers instructors potentially new to the area a valuable resource for teaching a mathematical finance course Simplifies complex mathematical concepts, such as the derivation of the Black–Scholes equation and its solutions, by emphasizing the concepts behind a formula Includes supplementary material: sn.pub/extras - [Mathematics Inspired by Biology: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Martina Franca, Italy, June 13-20, 1997](https://online.neatra.in/product/mathematics-inspired-by-biology-lectures-given-at-the-1st-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-martina-franca-italy-june-13-20-1997/): Includes supplementary material: sn.pub/extras - [Mathematics in Everyday Life](https://online.neatra.in/product/mathematics-in-everyday-life/): How does mathematics impact everyday events? Through concrete examples from business, sport, games, computing, and society, this book explores the mathematics underpinning our everyday lives. The examples covered in the book include game shows, internet search engines, mortgage payments, drug testing, soccer tournaments, social inequality, voting, and much more. - [Mathematics in Biology and Medicine: Proceedings of an International Conference held in Bari, Italy, July 18–22, 1983](https://online.neatra.in/product/mathematics-in-biology-and-medicine-proceedings-of-an-international-conference-held-in-bari-italy-july-18a-22-1983/) - [Mathematics Going Forward: Collected Mathematical Brushstrokes](https://online.neatra.in/product/mathematics-going-forward-collected-mathematical-brushstrokes/): This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. - [Mathematics for Finance: An Introduction to Financial Engineering](https://online.neatra.in/product/mathematics-for-finance-an-introduction-to-financial-engineering/): A case study to begin each chapter – a real-life situation motivating the development of theoretical tools A detailed discussion of the case study at the end of each chapter A new chapter on time-continuous models with intuitive outlines of the mathematical arguments and constructions Complete proofs of the two fundamental theorems of mathematical finance in discrete setting Includes supplementary material: sn.pub/extras - [Mathematics and the Life Sciences: Selected Lectures, Canadian Mathematical Congress, August 1975](https://online.neatra.in/product/mathematics-and-the-life-sciences-selected-lectures-canadian-mathematical-congress-august-1975/): For two weeks in August, 1975 more than 140 mathematicians and other scientists gathered at the Universite de Sherbrooke. The occasion was the 15th Biennial Seminar of the Canadian Mathematical Congress, entitled Mathematics and the Life Sciences. - [Mathematical Writing](https://online.neatra.in/product/mathematical-writing/): Teaches undergraduate students to learn and improve their mathematical writing skills Contains many exercises and solutions for self-learners Tried and tested for many years on courses at Queen Mary, University London Includes supplementary material: sn.pub/extras - [Mathematical Thinking: Why Everyone Should Study Math](https://online.neatra.in/product/mathematical-thinking-why-everyone-should-study-math/): This textbook invites readers to explore mathematical thinking by finding the beauty in the subject. With an accessible tone and stimulating puzzles, the author will convince curious non-mathematicians to continue their studies in the area. - [Mathematical Thermodynamics of Complex Fluids: Cetraro, Italy 2015](https://online.neatra.in/product/mathematical-thermodynamics-of-complex-fluids-cetraro-italy-2015/): The main goal of this book is to provide an overview of the state of the art in the mathematical modeling of complex fluids, with particular emphasis on its thermodynamical aspects. - [Mathematical Theory of Uniformity and its Applications in Ecology and Chaos](https://online.neatra.in/product/mathematical-theory-of-uniformity-and-its-applications-in-ecology-and-chaos/): This book puts forward a new mathematical theory to study chaotic phenomenon. The uniform theory is established on the basis of two elementary concept of circle and externally tangent square in mathematics. - [Mathematical Theory of Nonequilibrium Steady States: On the Frontier of Probability and Dynamical Systems](https://online.neatra.in/product/mathematical-theory-of-nonequilibrium-steady-states-on-the-frontier-of-probability-and-dynamical-systems/): This volume provides a systematic mathematical exposition of the conceptual problems of nonequilibrium statistical physics, such as entropy production, irreversibility, and ordered phenomena. Markov chains, diffusion processes, and hyperbolic dynamical systems are used as mathematical models of physical systems. - [Mathematical Theory of Feynman Path Integrals: An Introduction](https://online.neatra.in/product/mathematical-theory-of-feynman-path-integrals-an-introduction/): Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non-relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like low-dimensional topology and differential geometry, algebraic geometry, infinite-dimensional analysis and geometry, and number theory. - [Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions](https://online.neatra.in/product/mathematical-theory-of-evolutionary-fluid-flow-structure-interactions/): This book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flow-structure interactions. - [Mathematical Theory of Compressible Viscous Fluids: Analysis and Numerics](https://online.neatra.in/product/mathematical-theory-of-compressible-viscous-fluids-analysis-and-numerics/): Introduces the reader to the mathematical theory of compressible viscous fluids Provides the existence proof for the compressible Navier--Stokes system via a numerical scheme Presents analytical methods in view of numerical applications - [Mathematical Theories of Optimization: Proceedings of the International Conference Held in S. Margherita Ligure (Genova), November 30 - December 4, 1981](https://online.neatra.in/product/mathematical-theories-of-optimization-proceedings-of-the-international-conference-held-in-s-margherita-ligure-genova-november-30-december-4-1981/) - [Mathematical Tapas: Volume 2 (From Undergraduate to Graduate Level)](https://online.neatra.in/product/mathematical-tapas-volume-2-from-undergraduate-to-graduate-level/): Presents original exercises from various mathematical subjects Challenges readers to solve and learn Provides hints and partial answers Includes supplementary material: sn.pub/extras - [Mathematical Tapas: Volume 1 (for Undergraduates)](https://online.neatra.in/product/mathematical-tapas-volume-1-for-undergraduates/): Presents non-standard exercises at undergraduate level from various mathematical subjects Provides hints to solve the problems, suggesting paths to follow Inspires readers to putting their knowledge to use and to learning new techniques and tricks Includes supplementary material: sn.pub/extras - [Mathematical Research Today and Tomorrow: Viewpoints of Seven Fields Medalists. Lectures given at the Institut d'Estudis Catalans, Barcelona, Spain, June 1991](https://online.neatra.in/product/mathematical-research-today-and-tomorrow-viewpoints-of-seven-fields-medalists-lectures-given-at-the-institut-destudis-catalans-barcelona-spain-june-1991/): The Symposium on the Current State and Prospects of Mathematics was held in Barcelona from June 13 to June 18, 1991. Seven invited Fields medalists gavetalks on the development of their respective research fields. - [Mathematical Problems: An Essay on Their Nature and Importance](https://online.neatra.in/product/mathematical-problems-an-essay-on-their-nature-and-importance/): The life and soul of any science are its problems. This is particularly true of mathematics, which, not referring to any physical reality, consists only of its problems, their solutions, and, most excitingly, the challenges they pose. - [Mathematical Problem Factories](https://online.neatra.in/product/mathematical-problem-factories/): A problem factory consists of a traditional mathematical analysis of a type of problem that describes many, ideally all, ways that the problems of that type can be cast in a fashion that allows teachers or parents to generate problems for enrichment exercises, tests, and classwork. - [Mathematical Portfolio Theory and Analysis](https://online.neatra.in/product/mathematical-portfolio-theory-and-analysis/): Designed as a self-contained text, this book covers a wide spectrum of topics on portfolio theory. It covers both the classical-mean-variance portfolio theory as well as non-mean-variance portfolio theory. - [Mathematical Physics: Classical Mechanics](https://online.neatra.in/product/mathematical-physics-classical-mechanics/): As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. - [Mathematical Models of Viscous Friction](https://online.neatra.in/product/mathematical-models-of-viscous-friction/): In this monograph we present a review of a number of recent results on the motion of a classical body immersed in an infinitely extended medium and subjected to the action of an external force. We investigate this topic in the framework of mathematical physics by focusing mainly on the class of purely Hamiltonian systems, for which very few results are available. - [Mathematical Models and Methods for Living Systems: Levico Terme, Italy 2014](https://online.neatra.in/product/mathematical-models-and-methods-for-living-systems-levico-terme-italy-2014/): The aim of these lecture notes is to give an introduction to several mathematical models and methods that can be used to describe the behaviour of living systems. This emerging field of application intrinsically requires the handling of phenomena occurring at different spatial scales and hence the use of multiscale methods. - [Mathematical Modelling of Industrial Processes: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Bari, Italy, Sept. 24-29, 1990](https://online.neatra.in/product/mathematical-modelling-of-industrial-processes-lectures-given-at-the-3rd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-bari-italy-sept-24-29-1990/): The 1990 CIME course on Mathematical Modelling of Industrial Processes set out to illustrate some advances in questions of industrial mathematics, i.e.of the applications of mathematics (with all its "academic" rigour) to real-life problems. The papers describe the genesis of the models and illustrate their relevant mathematical characteristics. - [Mathematical Modeling of the Human Brain: From Magnetic Resonance Images to Finite Element Simulation](https://online.neatra.in/product/mathematical-modeling-of-the-human-brain-from-magnetic-resonance-images-to-finite-element-simulation/): This book is open access, which means that you have free and unlimited access. Includes a step-by-step guide to constructing anatomical finite element brain meshes - [Mathematical Modeling of Biological Processes](https://online.neatra.in/product/mathematical-modeling-of-biological-processes/): This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. - [Mathematical Modeling in Biomedical Imaging II: Optical, Ultrasound, and Opto-Acoustic Tomographies](https://online.neatra.in/product/mathematical-modeling-in-biomedical-imaging-ii-optical-ultrasound-and-opto-acoustic-tomographies/): The first book to cover ultrasound, optic, and opto-acoustic tomographies and to report the most recent mathematical and computational developments in these fields. The contributions are written by leading experts in the field of mathematical imaging. The contributions are comprehensible to non-experts. Includes supplementary material: sn.pub/extras - [Mathematical Modeling in Biomedical Imaging I: Electrical and Ultrasound Tomographies, Anomaly Detection, and Brain Imaging](https://online.neatra.in/product/mathematical-modeling-in-biomedical-imaging-i-electrical-and-ultrasound-tomographies-anomaly-detection-and-brain-imaging/): Includes supplementary material: sn.pub/extras - [Mathematical Modeling and Validation in Physiology: Applications to the Cardiovascular and Respiratory Systems](https://online.neatra.in/product/mathematical-modeling-and-validation-in-physiology-applications-to-the-cardiovascular-and-respiratory-systems/): Focused study of modeling from model design to model identifiability and validation Written by current leading experts in the field and including topics of current research interest in state of the art questions and methods Focus on interdisciplinary (physiological and mathematical) collaboration and applications of modeling with clinical relevance Presentation of key theoretical ideas and current areas of research interest through clear and motivated examples of application and implementation - [Mathematical Modeling](https://online.neatra.in/product/mathematical-modeling/): Mathematical models are the decisive tool to explain and predict phenomena in the natural and engineering sciences. With this book readers will learn to derive mathematical models which help to understand real world phenomena. - [Mathematical Methods for Hydrodynamic Limits](https://online.neatra.in/product/mathematical-methods-for-hydrodynamic-limits/): Entropy inequalities, correlation functions, couplings between stochastic processes are powerful techniques which have been extensively used to give arigorous foundation to the theory of complex, many component systems and to its many applications in a variety of fields as physics, biology, population dynamics, economics, ... The purpose of the book is to make these and other mathematical methods accessible to readers with a limited background in probability and physics by examining in detail a few models where the techniques emerge clearly, while extra difficulties arekept to a minimum. - [Mathematical Methods for Cancer Evolution](https://online.neatra.in/product/mathematical-methods-for-cancer-evolution/): The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology. Cancer cells and their growth via several stages are of particular interest. - [Mathematical Methods and Models in Biomedicine](https://online.neatra.in/product/mathematical-methods-and-models-in-biomedicine/): The book illustrates the depth and breadth of research opportunities that exist in the field of mathematical biomedicine The chapters can be read independently and show how mathematical modeling can enhance biomedical understanding and provide tools for biomedical research The book illustrates the fascinating interactions that continue to develop between the mathematical and biomedical sciences Includes supplementary material: sn.pub/extras - [Mathematical Logic and Applications: Proceedings of the Logic Meeting held in Kyoto, 1987](https://online.neatra.in/product/mathematical-logic-and-applications-proceedings-of-the-logic-meeting-held-in-kyoto-1987/): These proceedings include the papers presented at the logic meeting held at the Research Institute for Mathematical Sciences, Kyoto University, in the summer of 1987. The meeting mainly covered the current research in various areas of mathematical logic and its applications in Japan. - [Mathematical Grammar of Biology](https://online.neatra.in/product/mathematical-grammar-of-biology/): This seminal, multidisciplinary book shows how mathematics can be used to study the first principles of DNA. Most importantly, it enriches the so-called “ChargaffÂ’s grammar of biology” by providing the conceptual theoretical framework necessary to generalize ChargaffÂ’s rules. - [Mathematical Gauge Theory: With Applications to the Standard Model of Particle Physics](https://online.neatra.in/product/mathematical-gauge-theory-with-applications-to-the-standard-model-of-particle-physics/): Explains the Standard Model to students of both mathematics and physics Covers both the specific gauge theory of the Standard Model and generalizations Highly accessible and self-contained - [Mathematical Foundations of Nature-Inspired Algorithms](https://online.neatra.in/product/mathematical-foundations-of-nature-inspired-algorithms/): Analyzes nature-inspired algorithms Provides a unified framework of mathematical analysis for convergence and stability Features methods and techniques for selecting specific algorithms - [Mathematical Foundations of Game Theory](https://online.neatra.in/product/mathematical-foundations-of-game-theory/): Provides a self-contained presentation of the mathematical foundations of Game Theory including recent advances in dynamics and learning All results are proved in their full generality using tools and concepts defined in the text Includes 60 exercises, with solutions, which often contain complementary results and alternative proofs - [Mathematical Foundations of Complex Networked Information Systems: Politecnico di Torino, Verrès, Italy 2009](https://online.neatra.in/product/mathematical-foundations-of-complex-networked-information-systems-politecnico-di-torino-verres-italy-2009/): Introducing the reader to the mathematics beyond complex networked systems, these lecture notes investigate graph theory, graphical models, and methods from statistical physics. - [Mathematical Foundation of Turbulent Viscous Flows: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 1-5, 2003](https://online.neatra.in/product/mathematical-foundation-of-turbulent-viscous-flows-lectures-given-at-the-c-i-m-e-summer-school-held-in-martina-franca-italy-september-1-5-2003/): Constantin presents the Euler equations of ideal incompressible fluids and the blow-up problem for the Navier-Stokes equations of viscous fluids, describing major mathematical questions of turbulence theory. These are connected to the Caffarelli-Kohn-Nirenberg theory of singularities for the incompressible Navier-Stokes equations, explained in Gallavotti's lectures. - [Mathematical Finance: Theory Review and Exercises](https://online.neatra.in/product/mathematical-finance-theory-review-and-exercises/): The book is conceived as a guide to solve exercises in Mathematical Finance and a complement to theoretical lectures. The potential audience consists of students in Applied Mathematics, Engineering and Economics, attending courses in Mathematical Finance. - [Mathematical Control Theory: Proceedings, Canberra, Australia, August 23 - September 2, 1977](https://online.neatra.in/product/mathematical-control-theory-proceedings-canberra-australia-august-23-september-2-1977/) - [Mathematical Concepts of Quantum Mechanics](https://online.neatra.in/product/mathematical-concepts-of-quantum-mechanics/): The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline.Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content. - [Mathematical Concepts](https://online.neatra.in/product/mathematical-concepts/): The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. - [Mathematical Basics of Motion and Deformation in Computer Graphics, Second Edition](https://online.neatra.in/product/mathematical-basics-of-motion-and-deformation-in-computer-graphics-second-edition/): This synthesis lecture presents an intuitive introduction to the mathematics of motion and deformation in computer graphics. - [Mathematical Aspects of Finite Element Methods: Proceedings of the Conference Held in Rome, December 10 - 12, 1975](https://online.neatra.in/product/mathematical-aspects-of-finite-element-methods-proceedings-of-the-conference-held-in-rome-december-10-12-1975/) - [Mathematical Aspects of Evolving Interfaces: Lectures given at the C.I.M.-C.I.M.E. joint Euro-Summer School held in Madeira Funchal, Portugal, July 3-9, 2000](https://online.neatra.in/product/mathematical-aspects-of-evolving-interfaces-lectures-given-at-the-c-i-m-c-i-m-e-joint-euro-summer-school-held-in-madeira-funchal-portugal-july-3-9-2000/): Includes supplementary material: sn.pub/extras - [Mathematical and Statistical Methods for Multistatic Imaging](https://online.neatra.in/product/mathematical-and-statistical-methods-for-multistatic-imaging/): Fundamental contributions to multistatic imaging New dictionary-matching techniques for imaging Matlab codes for the main algorithms described in the book are provided Includes supplementary material: sn.pub/extras - [Mathematical Analysis of the Navier-Stokes Equations: Cetraro, Italy 2017](https://online.neatra.in/product/mathematical-analysis-of-the-navier-stokes-equations-cetraro-italy-2017/): Provides an accessible introduction to the basic results and major open questions related to the Navier–Stokes initial-value problem Gives applications to difficult and still unresolved questions, like free boundary problems Describes the general theory of R-boundedness and maximal regularity for quasilinear evolution equations in Banach spaces - [Mathematical Analysis](https://online.neatra.in/product/mathematical-analysis/): This work is a textbook on Mathematical Analysis written by expert lecturers in the field. This textbook, other than the classical differentiation and integration tools for functions of several real variables, metric spaces, ordinary differential equations, implicit function and so on, also provides opportunities to go deeper into certain topics: among them, the Ascoli-Arzelà theorem, the regularity of convex functions in R^n, L^p spaces and absolutely continuous functions, all topics that are paramount in modern Mathematical Analysis. - [Mathematica®: A Problem-Centered Approach](https://online.neatra.in/product/mathematica-a-problem-centered-approach/): This textbook introduces the vast array of features and powerful mathematical functions of Mathematica using a multitude of clearly presented examples and worked-out problems. Each section starts with a description of a new topic and some basic examples. - [Math Tools: 500+ Applications in Science and Arts](https://online.neatra.in/product/math-tools-500-applications-in-science-and-arts/): In this book, topics such as algebra, trigonometry, calculus and statistics are brought to life through over 500 applications ranging from biology, physics and chemistry to astronomy, geography and music. With over 600 illustrations emphasizing the beauty of mathematics, Math Tools complements more theoretical textbooks on the market, bringing the subject closer to the reader and providing a useful reference to students. - [Materials with Memory: Initial-Boundary Value Problems for Constitutive Equations with Internal Variables](https://online.neatra.in/product/materials-with-memory-initial-boundary-value-problems-for-constitutive-equations-with-internal-variables/): This book contributes to the mathematical theory of systems of differential equations consisting of the partial differential equations resulting from conservation of mass and momentum, and of constitutive equations with internal variables. The investigations are guided by the objective of proving existence and uniqueness, and are based on the idea of transforming the internal variables and the constitutive equations. - [Martingales: A Report on a Meeting at Oberwolfach, May 17-23, 1970](https://online.neatra.in/product/martingales-a-report-on-a-meeting-at-oberwolfach-may-17-23-1970/) - [Martingales and Stochastic Integrals I](https://online.neatra.in/product/martingales-and-stochastic-integrals-i/) - [Martingale Theory in Harmonic Analysis and Banach Spaces: Proceedings of the NSF-CBMS Conference Held at the Cleveland State University, Cleveland, Ohio, July 13-17, 1981](https://online.neatra.in/product/martingale-theory-in-harmonic-analysis-and-banach-spaces-proceedings-of-the-nsf-cbms-conference-held-at-the-cleveland-state-university-cleveland-ohio-july-13-17-1981/) - [Martingale Hardy Spaces and their Applications in Fourier Analysis](https://online.neatra.in/product/martingale-hardy-spaces-and-their-applications-in-fourier-analysis/): This book deals with the theory of one- and two-parameter martingale Hardy spaces and their use in Fourier analysis, and gives a summary of the latest results in this field. A method that can be applied for both one- and two-parameter cases, the so-called atomic decomposition method, is improved and provides a new and common construction of the theory of one- and two-parameter martingale Hardy spaces. - [Markov Set-Chains](https://online.neatra.in/product/markov-set-chains/): In this study extending classical Markov chain theory to handle fluctuating transition matrices, the author develops a theory of Markov set-chains and provides numerous examples showing how that theory can be applied. Chapters are concluded with a discussion of related research. - [Markov Processes: Ray Processes and Right Processes](https://online.neatra.in/product/markov-processes-ray-processes-and-right-processes/) - [Markov Paths, Loops and Fields: École d'Été de Probabilités de Saint-Flour XXXVIII – 2008](https://online.neatra.in/product/markov-paths-loops-and-fields-ecole-dete-de-probabilites-de-saint-flour-xxxviii-a-2008/): St Flour Lecture notes+ additional material. A large part of the content is new. There is no really similar book. Includes supplementary material: sn.pub/extras - [Markov Chains on Metric Spaces](https://online.neatra.in/product/markov-chains-on-metric-spaces/): This book gives an introduction to discrete-time Markov chains which evolve on a separable metric space. The focus is on the ergodic properties of such chains, i.e., on their long-term statistical behaviour. - [Market-Consistent Prices: An Introduction to Arbitrage Theory](https://online.neatra.in/product/market-consistent-prices-an-introduction-to-arbitrage-theory/): Arbitrage Theory provides the foundation for the pricing of financial derivatives and has become indispensable in both financial theory and financial practice. This textbook offers a rigorous and comprehensive introduction to the mathematics of arbitrage pricing in a discrete-time, finite-state economy in which a finite number of securities are traded. - [Market-Consistent Actuarial Valuation](https://online.neatra.in/product/market-consistent-actuarial-valuation/): Introduces and explains market-consistent actuarial valuation, a key tool for solvency analysis Explores the basis of modern solvency analysis in insurance Examines solvency questions for applied examples in life and non-life insurance Includes updates on regulatory changes under Solvency II Includes supplementary material: sn.pub/extras - [Manis Valuations and Prüfer Extensions II](https://online.neatra.in/product/manis-valuations-and-prufer-extensions-ii/): Includes supplementary material: sn.pub/extras - [Manis Valuations and Prüfer Extensions I: A New Chapter in Commutative Algebra](https://online.neatra.in/product/manis-valuations-and-prufer-extensions-i-a-new-chapter-in-commutative-algebra/): Includes supplementary material: sn.pub/extras - [Manifolds, Vector Fields, and Differential Forms: An Introduction to Differential Geometry](https://online.neatra.in/product/manifolds-vector-fields-and-differential-forms-an-introduction-to-differential-geometry/): For undergraduates! Required background material is typically covered in the first 2 or 3 years of university The role of point set topology is kept to a minimum Theory of manifolds appears as a natural continuation of multivariable calculus - [Manifolds, Sheaves, and Cohomology](https://online.neatra.in/product/manifolds-sheaves-and-cohomology/): Provides a modern introduction to the theory of manifolds Offers a good preparation for more advanced geometric theories A novel approach for master students in mathematics Includes supplementary material: sn.pub/extras - [Manifolds with Cusps of Rank One: Spectral Theory and L2-Index Theorem](https://online.neatra.in/product/manifolds-with-cusps-of-rank-one-spectral-theory-and-l2-index-theorem/): The manifolds investigated in this monograph are generalizations of (XX)-rank one locally symmetric spaces. In the first part of the book the author develops spectral theory for the differential Laplacian operator associated to the so-called generalized Dirac operators on manifolds with cusps of rank one. - [Manifolds - Amsterdam 1970: Proceedings of the Nuffic Summer School on Manifolds Amsterdam, August 17 - 29, 1970](https://online.neatra.in/product/manifolds-amsterdam-1970-proceedings-of-the-nuffic-summer-school-on-manifolds-amsterdam-august-17-29-1970/) - [Mal'cev Varieties](https://online.neatra.in/product/malcev-varieties/) - [Mahler Functions and Transcendence](https://online.neatra.in/product/mahler-functions-and-transcendence/): This book is the first comprehensive treatise of the transcendence theory of Mahler functions and their values. Recently the theory has seen profound development and has found a diversity of applications. - [Macdonald Polynomials: Commuting Family of q-Difference Operators and Their Joint Eigenfunctions](https://online.neatra.in/product/macdonald-polynomials-commuting-family-of-q-difference-operators-and-their-joint-eigenfunctions/): This book is a volume of the Springer Briefs in Mathematical Physics and serves as an introductory textbook on the theory of Macdonald polynomials. It is based on a series of online lectures given by the author at the Royal Institute of Technology (KTH), Stockholm, in February and March 2021. - [Lyapunov Exponents: Proceedings of a Conference held in Oberwolfach, May 28 - June 2, 1990](https://online.neatra.in/product/lyapunov-exponents-proceedings-of-a-conference-held-in-oberwolfach-may-28-june-2-1990/) - [LP-Structure in Real Banach Spaces](https://online.neatra.in/product/lp-structure-in-real-banach-spaces/) - [Lower Central and Dimension Series of Groups](https://online.neatra.in/product/lower-central-and-dimension-series-of-groups/): Includes supplementary material: sn.pub/extras - [Low Order Cohomology and Applications](https://online.neatra.in/product/low-order-cohomology-and-applications/) - [Logic Year 1979-80: The University of Connecticut, USA](https://online.neatra.in/product/logic-year-1979-80-the-university-of-connecticut-usa/) - [Logic Symposia, Hakone, 1979, 1980: Proceedings of Conferences Held in Hakone, Japan, March 21-24, 1979 and February 4-7, 1980](https://online.neatra.in/product/logic-symposia-hakone-1979-1980-proceedings-of-conferences-held-in-hakone-japan-march-21-24-1979-and-february-4-7-1980/) - [Logic Colloquium: Symposium on Logic held at Boston, 1972-73](https://online.neatra.in/product/logic-colloquium-symposium-on-logic-held-at-boston-1972-73/) - [Multiparameter Eigenvalue Problems and Expansion Theorems](https://online.neatra.in/product/multiparameter-eigenvalue-problems-and-expansion-theorems/): This book provides a self-contained treatment of two of the main problems of multiparameter spectral theory: the existence of eigenvalues and the expansion in series of eigenfunctions. The results are first obtained in abstract Hilbert spaces and then applied to integral operators and differential operators. - [Multi-Objective Optimization Problems: Concepts and Self-Adaptive Parameters with Mathematical and Engineering Applications](https://online.neatra.in/product/multi-objective-optimization-problems-concepts-and-self-adaptive-parameters-with-mathematical-and-engineering-applications/): Offers an starting point to key concepts related to multi-objective optimization problems Brings a rich variety of applications in Engineering and Mathematics Presents a new optimization strategy, the Self-Adpative Multi-objective Optimization Differential Evolution (SA-MODE) algorithm in which the parameters are dynamically updated during the evolutionary process Gives a broad perspective on different solving methods based on classical and modern approaches - [Multilinear Operator Integrals: Theory and Applications](https://online.neatra.in/product/multilinear-operator-integrals-theory-and-applications/): Offers a comprehensive, structured treatment of the theory in both finite-dimensional and infinite-dimensional settings Includes numerous applications of multilinear operator integral techniques, of interest to a broad audience This is the first book of its kind in terms of its subject, scope and style of exposition - [Multi-Layer Potentials and Boundary Problems: for Higher-Order Elliptic Systems in Lipschitz Domains](https://online.neatra.in/product/multi-layer-potentials-and-boundary-problems-for-higher-order-elliptic-systems-in-lipschitz-domains/): Aimed at people working in different areas of mathematics with different levels of expertise, and with different goals in mind The topics are new and mathematically sophisticated Readable, self-contained and has pedagogical value Comprehensive range of topics makes a suitable and much needed reference for mathematicians and engineers Includes supplementary material: sn.pub/extras - [Multigrid Methods: Proceedings of the Conference Held at Köln-Porz, November 23-27, 1981](https://online.neatra.in/product/multigrid-methods-proceedings-of-the-conference-held-at-koln-porz-november-23-27-1981/) - [Multigrid Methods II: Proceedings of the 2nd European Conference on Multigrid Methods Held at Cologne, October 1-4, 1985](https://online.neatra.in/product/multigrid-methods-ii-proceedings-of-the-2nd-european-conference-on-multigrid-methods-held-at-cologne-october-1-4-1985/) - [Multifunctions and Integrands: Stochastic Analysis, Approximation, and Optimization. Proceedings of a Conference held in Catania, Italy, June 1983](https://online.neatra.in/product/multifunctions-and-integrands-stochastic-analysis-approximation-and-optimization-proceedings-of-a-conference-held-in-catania-italy-june-1983/) - [Multidimensional Weakly Singular Integral Equations](https://online.neatra.in/product/multidimensional-weakly-singular-integral-equations/): The final aim of the book is to construct effective discretization methods to solve multidimensional weakly singular integral equations of the second kind on a region of Rn e.g. equations arising in the radiation transfer theory. To this end, the smoothness of the solution is examined proposing sharp estimates of the growth of the derivatives of the solution near the boundary G. - [Multidimensional Inverse Problems for Differential Equations](https://online.neatra.in/product/multidimensional-inverse-problems-for-differential-equations/) - [Multiaxial Actions on Manifolds](https://online.neatra.in/product/multiaxial-actions-on-manifolds/) - [Multi-agent Optimization: Cetraro, Italy 2014](https://online.neatra.in/product/multi-agent-optimization-cetraro-italy-2014/): Brilliantly written tutorial on topics not covered elsewhere Introduces the reader to optimization over networks which is an emergent topic of contemporary importance with promising applications Introduces the reader to complex modeling interdisciplinary paradigms as Differential Variational Inequalities that are necessary to model complex time-varying, paradigm shifting engineering situations - [M-Structure and the Banach-Stone Theorem](https://online.neatra.in/product/m-structure-and-the-banach-stone-theorem/) - [Motion of a Drop in an Incompressible Fluid](https://online.neatra.in/product/motion-of-a-drop-in-an-incompressible-fluid/): Features proofs from leading researchers in the mathematical analysis of fluids, including a global-in-time solution to the problem of the motion of a drop in a liquid medium in a container for small data Explores the smoothness of solutions to problems governing the simultaneous motion of two incompressible fluids Offers pathways to further research for those interested in this active area - [Motion and Genetic Definitions in the Sixteenth-Century Euclidean Tradition](https://online.neatra.in/product/motion-and-genetic-definitions-in-the-sixteenth-century-euclidean-tradition/): Contains the conceptions and treatment of genetic definitions in the 16th century Euclidean tradition Tackles the status and uses of motion in pre- and early modern geometry Provides insight into the mathematical practices of leading 16th century commentators of EuclidÂ’s Elements - [Morrey Spaces](https://online.neatra.in/product/morrey-spaces/): In this set of lecture notes, the author includes some of the latest research on the theory of Morrey Spaces associated with Harmonic Analysis. - [Morrey and Campanato Meet Besov, Lizorkin and Triebel](https://online.neatra.in/product/morrey-and-campanato-meet-besov-lizorkin-and-triebel/): A new general framework unifying Besov-Triebel-Lizorkin spaces, Morrey spaces, Campanato spaces and Q spaces is established In the key theorems characterizations by atoms, molecules, wavelets, differences and oscillations are given Special cases of these new scales (namely Besov-Triebel-Lizorkin spaces built on Morrey spaces) have been shown to be useful in the study of Navier-Stokes equations Includes supplementary material: sn.pub/extras - [Monte Carlo Methods](https://online.neatra.in/product/monte-carlo-methods/): This book is intended for undergraduate students of Mathematics, Statistics, and Physics who know nothing about Monte Carlo Methods but wish to know how they work. All treatments have been done as much manually as is practicable. The treatments are deliberately manual to let the readers get the real feel of how Monte Carlo Methods work. - [Monotone Random Systems Theory and Applications](https://online.neatra.in/product/monotone-random-systems-theory-and-applications/): Includes supplementary material: sn.pub/extras - [Monomialization of Morphisms from 3-Folds to Surfaces](https://online.neatra.in/product/monomialization-of-morphisms-from-3-folds-to-surfaces/): Includes supplementary material: sn.pub/extras - [Monomial Ideals, Computations and Applications](https://online.neatra.in/product/monomial-ideals-computations-and-applications/): Chapters cover leading-edge aspects of the theory of monomial ideals written by top researchers in their fields Includes computer tutorials that highlight the computational aspects of the area Carefully written introductions to topics of current research interest Includes supplementary material: sn.pub/extras - [Monomial Ideals and Their Decompositions](https://online.neatra.in/product/monomial-ideals-and-their-decompositions/): This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra. - [Moment Theory and Some Inverse Problems in Potential Theory and Heat Conduction](https://online.neatra.in/product/moment-theory-and-some-inverse-problems-in-potential-theory-and-heat-conduction/): Includes supplementary material: sn.pub/extras - [Moduli Theory and Classification Theory of Algebraic Varieties](https://online.neatra.in/product/moduli-theory-and-classification-theory-of-algebraic-varieties/) - [Moduli of Supersingular Abelian Varieties](https://online.neatra.in/product/moduli-of-supersingular-abelian-varieties/): Abelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful tool. For that structure supersingular abelian varieties can be considered the most special ones. - [Moduli of Families of Curves for Conformal and Quasiconformal Mappings](https://online.neatra.in/product/moduli-of-families-of-curves-for-conformal-and-quasiconformal-mappings/): Includes supplementary material: sn.pub/extras - [Moduli of Curves](https://online.neatra.in/product/moduli-of-curves/): Aims The aim of this book is to provide a guide to arich and fascinatings- ject: algebraic curves, and how they vary in families. The revolution that the ?eld of algebraic geometry has undergone with the introd- tion of schemes, together with new ideas, techniques and viewpoints introduced by Mumford and others, have made it possible for us to understand the behavior of curves in ways that simply were not pos- ble a half-century ago. - [Moduli of Abelian Varieties](https://online.neatra.in/product/moduli-of-abelian-varieties/): This is a book aimed at researchers and advanced graduate students in algebraic geometry, interested in learning about a promising direction of research in algebraic geometry. It begins with a generalization of parts of Mumford's theory of the equations defining abelian varieties and moduli spaces. - [Modules over Operads and Functors](https://online.neatra.in/product/modules-over-operads-and-functors/): Includes supplementary material: sn.pub/extras - [Module Theory: Papers and Problems from The Special Session at the University of Washington| Proceedings, Seattle, August 15-18, 1977](https://online.neatra.in/product/module-theory-papers-and-problems-from-the-special-session-at-the-university-of-washington-proceedings-seattle-august-15-18-1977/) - [Modular Representation Theory: New Trends and Methods](https://online.neatra.in/product/modular-representation-theory-new-trends-and-methods/): The aim of this 1983 Yale graduate course was to make some recent results in modular representation theory accessible to an audience ranging from second-year graduate students to established mathematicians. After a short review of background material, three closely connected topics in modular representation theory of finite groups are treated: representations rings, almost split sequences and the Auslander-Reiten quiver, complexity and cohomology varieties. - [Modular Functions of One Variable VI: Proceedings International Conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik, July 2-14, 1976](https://online.neatra.in/product/modular-functions-of-one-variable-vi-proceedings-international-conference-university-of-bonn-sonderforschungsbereich-theoretische-mathematik-july-2-14-1976/) - [Modular Functions of One Variable V: Proceedings International Conference, University of Bonn, Sonderforschungsbereich Theoretische Mathematik, July 2-14, 1976](https://online.neatra.in/product/modular-functions-of-one-variable-v-proceedings-international-conference-university-of-bonn-sonderforschungsbereich-theoretische-mathematik-july-2-14-1976/) - [Modular Functions of One Variable IV: Proceedings of the International Summer School, University of Antwerp, July 17 - August 3, 1972](https://online.neatra.in/product/modular-functions-of-one-variable-iv-proceedings-of-the-international-summer-school-university-of-antwerp-july-17-august-3-1972/) - [Modular Functions of One Variable III: Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972](https://online.neatra.in/product/modular-functions-of-one-variable-iii-proceedings-international-summer-school-university-of-antwerp-ruca-july-17-august-3-1972/) - [Modular Functions of One Variable II: Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972](https://online.neatra.in/product/modular-functions-of-one-variable-ii-proceedings-international-summer-school-university-of-antwerp-ruca-july-17-august-3-1972/) - [Modular Functions of One Variable I: Proceedings International Summer School, University of Antwerp, RUCA, July 17 - August 3, 1972](https://online.neatra.in/product/modular-functions-of-one-variable-i-proceedings-international-summer-school-university-of-antwerp-ruca-july-17-august-3-1972/): An international Summer School on: "Modular functions of one variable and arithmetical applications" took place at RUCA, Antwerp University, from July 17 to - gust 3, 1972. This book is the first volume (in a series of four) of the Proceedings of the Summer School. - [Modular Forms on Half-Spaces of Quaternions](https://online.neatra.in/product/modular-forms-on-half-spaces-of-quaternions/) - [Modern SABR Analytics: Formulas and Insights for Quants, Former Physicists and Mathematicians](https://online.neatra.in/product/modern-sabr-analytics-formulas-and-insights-for-quants-former-physicists-and-mathematicians/): Unifies scattered modern SABR analytics in the same text Intuitive but still rigorous explanation of complicated probabilistic concepts Numerous numerical results for both analytics and simulations which can serve as benchmarks - [Modern Optimization with R](https://online.neatra.in/product/modern-optimization-with-r/): The goal of this book is to gather in a single work the most relevant concepts related in optimization methods, showing how such theories and methods can be addressed using the open source, multi-platform R tool. Modern optimization methods, also known as metaheuristics, are particularly useful for solving complex problems for which no specialized optimization algorithm has been developed. - [Modern Graph Theory](https://online.neatra.in/product/modern-graph-theory/): The time has now come when graph theory should be part of the education of every serious student of mathematics and computer science, both for its own sake and to enhance the appreciation of mathematics as a whole. This book is an in-depth account of graph theory, written with such a student in mind| it reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. - [Modern Differential Geometric Techniques in the Theory of Continuous Distributions of Dislocations](https://online.neatra.in/product/modern-differential-geometric-techniques-in-the-theory-of-continuous-distributions-of-dislocations/) - [Modern Approaches to Discrete Curvature](https://online.neatra.in/product/modern-approaches-to-discrete-curvature/): A unique coherent glimpse of the state-of-the-art in Discrete Curvature Of interest to both mathematicians and computer scientists A vertiginous collection of ideas and tools Includes supplementary material: sn.pub/extras Includes supplementary material: sn.pub/extras - [Models of ZF-Set Theory](https://online.neatra.in/product/models-of-zf-set-theory/) - [Modelling in Life Insurance – A Management Perspective](https://online.neatra.in/product/modelling-in-life-insurance-a-a-management-perspective/): Focusing on life insurance and pensions, this book addresses various aspects of modelling in modern insurance: insurance liabilities; asset-liability management; securitization, hedging, and investment strategies. - [Modelling and Optimisation of Flows on Networks: Cetraro, Italy 2009, Editors: Benedetto Piccoli, Michel Rascle](https://online.neatra.in/product/modelling-and-optimisation-of-flows-on-networks-cetraro-italy-2009-editors-benedetto-piccoli-michel-rascle/): Rich notes on most recent advances on traffic flow on networks, including control and optimization. Tutorials on conservation laws,,wave equations and optimal transport theory Diverse applications such as vehicular traffic, supply chains and others Includes supplementary material: sn.pub/extras - [Modeling with Nonsmooth Dynamics](https://online.neatra.in/product/modeling-with-nonsmooth-dynamics/): This volume looks at the study of dynamical systems with discontinuities. Discontinuities arise when systems are subject to switches, decisions, or other abrupt changes in their underlying properties that require a ‘non-smoothÂ’ definition. - [Modeling of Archaeomagnetic Anomaly Maps](https://online.neatra.in/product/modeling-of-archaeomagnetic-anomaly-maps/): This book deals with magnetic anomaly maps and their properties. These properties are essential to modeling the elimination of the uncertainty problem of buried archaeological structure locations and depths. - [Modeling Information Diffusion in Online Social Networks with Partial Differential Equations](https://online.neatra.in/product/modeling-information-diffusion-in-online-social-networks-with-partial-differential-equations/): Provides a new and timely modeling approach for information diffusion in social media Written by the experts who initiated the approach of modeling with partial differential equations (PDEs) Accessible to a wide range of readers in mathematics, computer science, and social media Presents models which have been validated with real datasets from popular social media sites - [Modeling Biomaterials](https://online.neatra.in/product/modeling-biomaterials/): Utilizes a multidisciplinary approach to develop a quantitative understanding of an active area of research Connects basic physical, biological, and physiological concepts to methods for modeling different materials Written to be accessible to both non-specialists and experienced researchers - [Model Theory of Algebra and Arithmetic: Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz,Poland, September 1-7, 1979](https://online.neatra.in/product/model-theory-of-algebra-and-arithmetic-proceedings-of-the-conference-on-applications-of-logic-to-algebra-and-arithmetic-held-at-karpaczpoland-september-1-7-1979/) - [Model Theory in Algebra, Analysis and Arithmetic](https://online.neatra.in/product/model-theory-in-algebra-analysis-and-arithmetic/): Presenting recent developments and applications, the book focuses on four main topics in current model theory: 1) the model theory of valued fields| 2) undecidability in arithmetic| 3) NIP theories| and 4) the model theory of real and complex exponentiation. Young researchers in model theory will particularly benefit from the book, as will more senior researchers in other branches of mathematics. - [Model Theory and Topoi](https://online.neatra.in/product/model-theory-and-topoi/) - [Model Theory and Arithmetic: Comptes rendus d'une action thematique programmee du C.N.R.S. sur la theorie des modeles et l'Arithmetique, Paris, France, 1979/80](https://online.neatra.in/product/model-theory-and-arithmetic-comptes-rendus-dune-action-thematique-programmee-du-c-n-r-s-sur-la-theorie-des-modeles-et-larithmetique-paris-france-1979-80/) - [Model Theory and Algebraic Geometry: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture](https://online.neatra.in/product/model-theory-and-algebraic-geometry-an-introduction-to-e-hrushovskis-proof-of-the-geometric-mordell-lang-conjecture/) - [Model Theory and Algebra: A Memorial Tribute to Abraham Robinson](https://online.neatra.in/product/model-theory-and-algebra-a-memorial-tribute-to-abraham-robinson/) - [Model Theoretic Algebra: Selected Topics](https://online.neatra.in/product/model-theoretic-algebra-selected-topics/) - [Model Order Reduction and Applications: Cetraro, Italy 2021](https://online.neatra.in/product/model-order-reduction-and-applications-cetraro-italy-2021/): This book addresses the state of the art of reduced order methods for modelling and computational reduction of complex parametrised systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in various fields. - [Modal Interval Analysis: New Tools for Numerical Information](https://online.neatra.in/product/modal-interval-analysis-new-tools-for-numerical-information/): Develops of a new interval theory Presents several sample applications Includes many examples to illustrate the main results Includes supplementary material: sn.pub/extras - [Mod-? Convergence](https://online.neatra.in/product/mod-convergence/): The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and LévyÂ’s continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-? convergence. - [Mod Two Homology and Cohomology](https://online.neatra.in/product/mod-two-homology-and-cohomology/): Presents a simplified version of these important tools of algebraic topology Provides a self-contained introduction to mod 2 (co)homology Begins with basic principles and leads up to advanced topics that are not usually mentioned in an algebraic topology text Includes many interesting applications of mod 2 homology and cohomology theory, both classical and more recent Includes supplementary material: sn.pub/extras - [Möbius Functions, Incidence Algebras and Power Series Representations](https://online.neatra.in/product/mobius-functions-incidence-algebras-and-power-series-representations/) - [Mobile User Research: A Practical Guide](https://online.neatra.in/product/mobile-user-research-a-practical-guide/): This book will give you a practical overview of several methods and approaches for designing mobile technologies and conducting mobile user research, including how to understand behavior and evaluate how such technologies are being (or may be) used out in the world. - [Mixed Twistor D-modules](https://online.neatra.in/product/mixed-twistor-d-modules/): We introduce mixed twistor D-modules and establish their fundamental functorial properties. We also prove that they can be described as the gluing of admissible variations of mixed twistor structures. - [Mixed Motives and their Realization in Derived Categories](https://online.neatra.in/product/mixed-motives-and-their-realization-in-derived-categories/): The conjectural theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry. The monograph describes the approach to motives via their well-defined realizations. - [Mixed Motives and Algebraic K-Theory](https://online.neatra.in/product/mixed-motives-and-algebraic-k-theory/): The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book. The author proceeds in an axiomatic way, combining the concepts of twisted Poincaré duality theories, weights, and tensor categories. - [Mixed Finite Elements, Compatibility Conditions, and Applications: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 26 - July 1, 2006](https://online.neatra.in/product/mixed-finite-elements-compatibility-conditions-and-applications-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-june-26-july-1-2006/): Includes supplementary material: sn.pub/extras - [Mixed Boundary Problems in Solid Mechanics](https://online.neatra.in/product/mixed-boundary-problems-in-solid-mechanics/): The book covers a wide range of subjects and techniques related to mixed boundary problems of elasticity from basic concepts to special techniques that are unlikely to appear in traditional university graduate courses. This book may also be of interest to industrial researchers who encounter defects such as cracks and inclusions of different materials in mechanisms under different localization and type of loading. - [Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms](https://online.neatra.in/product/mixed-automorphic-forms-torus-bundles-and-jacobi-forms/): Includes supplementary material: sn.pub/extras - [Minimum Norm Extremals in Function Spaces: With Applications to Classical and Modern Analysis](https://online.neatra.in/product/minimum-norm-extremals-in-function-spaces-with-applications-to-classical-and-modern-analysis/) - [Minimum Action Curves in Degenerate Finsler Metrics: Existence and Properties](https://online.neatra.in/product/minimum-action-curves-in-degenerate-finsler-metrics-existence-and-properties/): Presenting a study of geometric action functionals (i.e., non-negative functionals on the space of unparameterized oriented rectifiable curves), this monograph focuses on the subclass of those functionals whose local action is a degenerate type of Finsler metric that may vanish in certain directions, allowing for curves with positive Euclidean length but with zero action. - [Minimax and Monotonicity](https://online.neatra.in/product/minimax-and-monotonicity/) - [Minimal Surfaces in R 3](https://online.neatra.in/product/minimal-surfaces-in-r-3/) - [Minimal Projections in Banach Spaces: Problems of Existence and Uniqueness and their Application](https://online.neatra.in/product/minimal-projections-in-banach-spaces-problems-of-existence-and-uniqueness-and-their-application/) - [Minimal Free Resolutions over Complete Intersections](https://online.neatra.in/product/minimal-free-resolutions-over-complete-intersections/): Includes supplementary material: sn.pub/extras - [Milnor Fiber Boundary of a Non-isolated Surface Singularity](https://online.neatra.in/product/milnor-fiber-boundary-of-a-non-isolated-surface-singularity/): Presents a new approach in the study of non-isolated hypersurface singularities The first book about non-isolated hypersurface singularities Conceptual and comprehensive description of invariants of non-isolated singularities Key connections between singularity theory and low-dimensional topology Numerous explicit examples for plumbing representation of the boundary of the Milnor fiber Numerous explicit examples for the Jordan block structure of different monodromy operators - [Mild Differentiability Conditions for Newton's Method in Banach Spaces](https://online.neatra.in/product/mild-differentiability-conditions-for-newtons-method-in-banach-spaces/): In this book the authors use a technique based on recurrence relations to study the convergence of the Newton method under mild differentiability conditions on the first derivative of the operator involved. The authorsÂ’ technique relies on the construction of a scalar sequence, not majorizing, that satisfies a system of recurrence relations, and guarantees the convergence of the method. - [M-Ideals in Banach Spaces and Banach Algebras](https://online.neatra.in/product/m-ideals-in-banach-spaces-and-banach-algebras/): This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional analysis which deals with certain subspaces of Banach spaces arising naturally in many contexts. Starting from the basic definitions the authors discuss a number of examples of M-ideals (e.g. the closed two-sided ideals of C*-algebras) and develop their general theory. - [Microlocal Analysis and Applications: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, July 3-11, 1989](https://online.neatra.in/product/microlocal-analysis-and-applications-lectures-given-at-the-2nd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-at-montecatini-terme-italy-july-3-11-1989/) - [Metrical and Dynamical Aspects in Complex Analysis](https://online.neatra.in/product/metrical-and-dynamical-aspects-in-complex-analysis/): The central theme of this reference book is the metric geometry of complex analysis in several variables. Bridging a gap in the current literature, the text focuses on the fine behavior of the Kobayashi metric of complex manifolds and its relationships to dynamical systems, hyperbolicity in the sense of Gromov and operator theory, all very active areas of research. - [Metric Spaces: A Companion to Analysis](https://online.neatra.in/product/metric-spaces-a-companion-to-analysis/): Provides a lucid and clear exposition which includes additional motivation and explanation for delicate points Presents metric spaces as a tool for advanced analysis, topology and related subjects Includes many exercises with hints - [Metric Spaces](https://online.neatra.in/product/metric-spaces/): Offers a unique approach to the study of metric spaces based on giving readers a new perspective on ideas familiar from the analysis of a real line Suitable for self-study: each chapter features copious examples and numerous problems with solutions to some of these provided at the back of the book An excellent preparation for applications Request lecturer material: sn.pub/lecturer-material - [Metric Modular Spaces](https://online.neatra.in/product/metric-modular-spaces/): Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. - [Metric Diffusion Along Foliations](https://online.neatra.in/product/metric-diffusion-along-foliations/): Up-to-date research in metric diffusion along compact foliations is presented in this book. Beginning with fundamentals from the optimal transportation theory and the theory of foliations; this book moves on to cover Wasserstein distance, Kantorovich Duality Theorem, and the metrization of the weak topology by the Wasserstein distance. Metric diffusion is defined, the topology of the metric space is studied and the limits of diffused metrics along compact foliations are discussed. - [Methods of Nonconvex Analysis: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Varenna, Italy, June 15-23, 1989](https://online.neatra.in/product/methods-of-nonconvex-analysis-lectures-given-at-the-1st-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-at-varenna-italy-june-15-23-1989/) - [Methods of Mathematical Modelling](https://online.neatra.in/product/methods-of-mathematical-modelling/): This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. - [Methods of Graded Rings](https://online.neatra.in/product/methods-of-graded-rings/): Includes supplementary material: sn.pub/extras - [Methods of Descent for Nondifferentiable Optimization](https://online.neatra.in/product/methods-of-descent-for-nondifferentiable-optimization/) - [Methods of Contemporary Mathematical Statistical Physics](https://online.neatra.in/product/methods-of-contemporary-mathematical-statistical-physics/): Includes supplementary material: sn.pub/extras - [Methods of Approximation Theory in Complex Analysis and Mathematical Physics: Leningrad, May 13-24, 1991](https://online.neatra.in/product/methods-of-approximation-theory-in-complex-analysis-and-mathematical-physics-leningrad-may-13-24-1991/): The book incorporates research papers and surveys written by participants ofan International Scientific Programme on Approximation Theory jointly supervised by Institute for Constructive Mathematics of University of South Florida at Tampa, USA and the Euler International Mathematical Instituteat St. Petersburg, Russia. The aim of the Programme was to present new developments in Constructive Approximation Theory. - [Methods in Mathematical Logic: Proceedings of the 6th Latin American Symposium on Mathematical Logic held in Caracas, Venezuela, Aug. 1-6, 1983](https://online.neatra.in/product/methods-in-mathematical-logic-proceedings-of-the-6th-latin-american-symposium-on-mathematical-logic-held-in-caracas-venezuela-aug-1-6-1983/) - [Method of Guiding Functions in Problems of Nonlinear Analysis](https://online.neatra.in/product/method-of-guiding-functions-in-problems-of-nonlinear-analysis/): May serve as the convenient introduction into intensively developing and interesting branches of contemporary nonlinear analysis, theory of differential equations and inclusions and control theory The presentation is self-contained and directed to a non-specialist Contains interesting applications of the theory in control theory, theory of bifurcations and physics Includes supplementary material: sn.pub/extras - [Metaplectic Groups and Segal Algebras](https://online.neatra.in/product/metaplectic-groups-and-segal-algebras/): These notes give an account of recent work in harmonic analysis dealing with the analytical foundations of A. Weil's theory of metaplectic groups. It is shown that Weil's main theorem holds for a class of functions (a certain Segal algebra) larger than that of the Schwartz-Bruhat functions considered by Weil. - [Metamathematical Investigation of Intuitionistic Arithmetic and Analysis](https://online.neatra.in/product/metamathematical-investigation-of-intuitionistic-arithmetic-and-analysis/): Includes supplementary material: sn.pub/extras - [Meta-Ecosystem Dynamics](https://online.neatra.in/product/meta-ecosystem-dynamics/): This book presents current meta-ecosystem models and their derivation from classical ecosystem and metapopulation theories. Specifically, it reviews recent modelling efforts that have emphasized the role of nonlinear dynamics on spatial and food web networks, and which have cast their implications within the context of spatial synchrony and ecological stoichiometry. - [Measures with Symmetry Properties](https://online.neatra.in/product/measures-with-symmetry-properties/): Includes supplementary material: sn.pub/extras - [Measures on Topological Semigroups: Convolution Products and Random Walks](https://online.neatra.in/product/measures-on-topological-semigroups-convolution-products-and-random-walks/) - [Measures of Symmetry for Convex Sets and Stability](https://online.neatra.in/product/measures-of-symmetry-for-convex-sets-and-stability/): This textbook treats two important and related matters in convex geometry: the quantification of symmetry of a convex set—measures of symmetry—and the degree to which convex sets that nearly minimize such measures of symmetry are themselves nearly symmetric—the phenomenon of stability. - [Measure, Integration and a Primer on Probability Theory](https://online.neatra.in/product/measure-integration-and-a-primer-on-probability-theory/): The text contains detailed and complete proofs and includes instructive historical introductions to key chapters. These serve to illustrate the hurdles faced by the scholars that developed the theory, and allow the novice to approach the subject from a wider angle, thus appreciating the human side of major figures in Mathematics. - [Measure, Integral, Derivative: A Course on Lebesgue's Theory](https://online.neatra.in/product/measure-integral-derivative-a-course-on-lebesgues-theory/): Contains all the main results of LebesgueÂ’s theory Accessible to both upper-undergraduate and masterÂ’s students Includes 180+ exercises with varying degrees of difficulty Request lecturer material: sn.pub/lecturer-material - [Measure, Integral and Probability](https://online.neatra.in/product/measure-integral-and-probability/): Fully revised and expanded to include applications to mathematical finance, and a detailed review of the Radon-Nikodym theorem Aimed at 2nd and 3rd year undergraduates, it provides an accessible introduction that is also suitable for self-study Also suitable as preparation for MastersÂ’ level courses on mathematical finance Includes supplementary material: sn.pub/extras - [Number Theory: Proceedings of the Journees Arithmetiques held in Ulm, FRG, September 14-18, 1987](https://online.neatra.in/product/number-theory-proceedings-of-the-journees-arithmetiques-held-in-ulm-frg-september-14-18-1987/): The 15 papers of this selection of contributions to the Journées Arithmétiques 1987 include both survey articles and original research papers and represent a cross-section of topics such as Abelian varieties, algebraic integers, arithmetic algebraic geometry, additive number theory, computational number theory, exponential sums, modular forms, transcendence and Diophantine approximation, uniform distribution. - [Number Theory: Proceedings of the 4th Matscience Conference held at Otacamund, India, January 5-10, 1984](https://online.neatra.in/product/number-theory-proceedings-of-the-4th-matscience-conference-held-at-otacamund-india-january-5-10-1984/) - [Number Theory: A Seminar held at the Graduate School and University Center of the City University of New York 1985-88](https://online.neatra.in/product/number-theory-a-seminar-held-at-the-graduate-school-and-university-center-of-the-city-university-of-new-york-1985-88/): The New York Number Theory Seminar was organized in 1982 to provide a forum for the presentation and discussion of recent advances in higher arithmetic and its applications. Papers included in this volume are based on the lectures presented by their authors at the Seminar at the Graduate Center of C.U.N.Y. in 1985-88. - [Number Theory: A Seminar held at the Graduate School and University Center of the City University of New York 1984-85](https://online.neatra.in/product/number-theory-a-seminar-held-at-the-graduate-school-and-university-center-of-the-city-university-of-new-york-1984-85/): This is the third Lecture Notes volume to be produced in the framework of the New York Number Theory Seminar. The papers contained here are mainly research papers. N - [Number Theory: A Seminar held at the Graduate School and University Center of the City University of New York 1983-84](https://online.neatra.in/product/number-theory-a-seminar-held-at-the-graduate-school-and-university-center-of-the-city-university-of-new-york-1983-84/) - [Number Theory, Noordwijkerhout 1983: Proceedings of the Journees Arithmetiques held at Noordwijkerhout, the Netherlands, July 11-15, 1983](https://online.neatra.in/product/number-theory-noordwijkerhout-1983-proceedings-of-the-journees-arithmetiques-held-at-noordwijkerhout-the-netherlands-july-11-15-1983/) - [Number Theory, Madras 1987: Proceedings of the International Ramanujan Centenary Conference, held at Anna University, Madras, India, December 21, 1987](https://online.neatra.in/product/number-theory-madras-1987-proceedings-of-the-international-ramanujan-centenary-conference-held-at-anna-university-madras-india-december-21-1987/) - [Number Theory, Carbondale 1979: Proceedings of the Southern Illinois Number Theory Conference Carbondale, March 30 and 31, 1979](https://online.neatra.in/product/number-theory-carbondale-1979-proceedings-of-the-southern-illinois-number-theory-conference-carbondale-march-30-and-31-1979/) - [Number Theory Day: Proceedings of the Conference Held at Rockefeller University, New York, 1976](https://online.neatra.in/product/number-theory-day-proceedings-of-the-conference-held-at-rockefeller-university-new-york-1976/) - [Number Fields](https://online.neatra.in/product/number-fields/): Contains over 300 exercises Assumes only basic abstract algebra Covers topics leading up to class field theory - [Notes on the Stationary p-Laplace Equation](https://online.neatra.in/product/notes-on-the-stationary-p-laplace-equation/): Treatise on the p-Laplace equation Coverage of a variety of topics Discussion of open problems - [Notes on the Infinity Laplace Equation](https://online.neatra.in/product/notes-on-the-infinity-laplace-equation/): This BCAM SpringerBriefs is a treaty of the Infinity-Laplace Equation, which has inherited many features from the ordinary Laplace Equation, and is based on lectures by the author. - [Notes on Infinite Permutation Groups](https://online.neatra.in/product/notes-on-infinite-permutation-groups/): There is basic background in both group theory and the necessary model theory, and the following topics are covered: transitivity and primitivity| symmetric groups and general linear groups| wreatch products| automorphism groups of various treelike objects| model-theoretic constructions for building structures with rich automorphism groups, the structure and classification of infinite primitive Jordan groups (surveyed)| applications and open problems. - [Notes on Geometry and Arithmetic](https://online.neatra.in/product/notes-on-geometry-and-arithmetic/): Offers readers a ‘hands onÂ’ introduction to Diophantine geometry Progresses from introductory to advanced topics using the language of classical geometry Assumes only modest prerequisites in abstract algebra and number theory Contains numerous exercises throughout - [Notes from the International Autumn School on Computational Number Theory](https://online.neatra.in/product/notes-from-the-international-autumn-school-on-computational-number-theory/): This volume collects lecture notes and research articles from the International Autumn School on Computational Number Theory, which was held at the Izmir Institute of Technology from October 30th to November 3rd, 2017 in Izmir, Turkey. Written by experts in computational number theory, the chapters cover a variety of the most important aspects of the field. - [Normal Approximation - Some Recent Advances](https://online.neatra.in/product/normal-approximation-some-recent-advances/) - [Norm Inequalities for Derivatives and Differences](https://online.neatra.in/product/norm-inequalities-for-derivatives-and-differences/): Norm inequalities relating (i) a function and two of its derivatives and (ii) a sequence and two of its differences are studied. Detailed elementary proofs of basic inequalities are given. These are accessible to anyone with a background of advanced calculus and a rudimentary knowledge of the Lp and lp spaces. - [Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory](https://online.neatra.in/product/nonstandard-methods-in-ramsey-theory-and-combinatorial-number-theory/): Presents the first introduction to nonstandard methods geared towards combinatorics Includes new nonstandard proofs of classical results in Ramsey theory Provides a self-contained introduction to the literature of nonstandard methods in combinatorics Numerous exercises help readers to familiarize themselves with the material - [Nonstandard Asymptotic Analysis](https://online.neatra.in/product/nonstandard-asymptotic-analysis/): This research monograph considers the subject of asymptotics from a nonstandard view point. It is intended both for classical asymptoticists - they will discover a new approach to problems very familiar to them - and for nonstandard analysts but includes topics of general interest, like the remarkable behaviour of Taylor polynomials of elementary functions. - [Nonstandard Analysis.: A Practical Guide with Applications.](https://online.neatra.in/product/nonstandard-analysis-a-practical-guide-with-applications/) - [Nonstandard Analysis - Recent Developments](https://online.neatra.in/product/nonstandard-analysis-recent-developments/) - [Non-Smooth Dynamical Systems](https://online.neatra.in/product/non-smooth-dynamical-systems/): The book provides a self-contained introduction to the mathematical theory of non-smooth dynamical problems, as they frequently arise from mechanical systems with friction and/or impacts. It is aimed at applied mathematicians, engineers, and applied scientists in general who wish to learn the subject. - [Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners](https://online.neatra.in/product/non-semisimple-topological-quantum-field-theories-for-3-manifolds-with-corners/): Includes supplementary material: sn.pub/extras - [Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations](https://online.neatra.in/product/non-self-adjoint-differential-operators-spectral-asymptotics-and-random-perturbations/): The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago. In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. - [Non-Oscillation Domains of Differential Equations with Two Parameters](https://online.neatra.in/product/non-oscillation-domains-of-differential-equations-with-two-parameters/): This research monograph is an introduction to single linear differential equations (systems) with two parameters and extensions to difference equations and Stieltjes integral equations. The scope is a study of the values of the parameters for which the equation has one solution(s) having one (finitely many) zeros. - [Non-Newtonian Fluid Mechanics and Complex Flows: Levico Terme, Italy 2016](https://online.neatra.in/product/non-newtonian-fluid-mechanics-and-complex-flows-levico-terme-italy-2016/): Contains a complete analysis and solution of the "lubrication paradox" for viscoplastic fluids Includes recent advances in hemorheology modeling Illustrated by a number of color images - [Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets](https://online.neatra.in/product/nonlocal-perimeter-curvature-and-minimal-surfaces-for-measurable-sets/): This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms. It addresses nonlocal notions of perimeter and curvature and studies in detail the minimal surfaces associated with them. - [Nonlocal Diffusion and Applications](https://online.neatra.in/product/nonlocal-diffusion-and-applications/): Gives a rich introduction to the fractional Laplacian and its applications Well explained, self-contained and easy to follow, even for those who are not familiar with the subject Contains brand new and interesting research trends on the fractional Laplacian Includes supplementary material: sn.pub/extras - [Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions](https://online.neatra.in/product/nonlocal-and-nonlinear-diffusions-and-interactions-new-methods-and-directions/): Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, this book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems. - [Nonlinearly Perturbed Semi-Markov Processes](https://online.neatra.in/product/nonlinearly-perturbed-semi-markov-processes/): The book presents new methods of asymptotic analysis for nonlinearly perturbed semi-Markov processes with a finite phase space. These methods are based on special time-space screening procedures for sequential phase space reduction of semi-Markov processes combined with the systematical use of operational calculus for Laurent asymptotic expansions. - [Nonlinear Water Waves: Cetraro, Italy 2013](https://online.neatra.in/product/nonlinear-water-waves-cetraro-italy-2013/): This volume brings together four lecture courses on modern aspects of water waves. The intention, through the lectures, is to present quite a range of mathematical ideas, primarily to show what is possible and what, currently, is of particular interest. - [Nonlinear Vibrations and the Wave Equation](https://online.neatra.in/product/nonlinear-vibrations-and-the-wave-equation/): This book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987. An additional chapter has been added to reflect more recent advances in the field. - [Nonlinear Semigroups, Partial Differential Equations and Attractors: Proceedings of a Symposium held in Washington, DC, August 5-8, 1985](https://online.neatra.in/product/nonlinear-semigroups-partial-differential-equations-and-attractors-proceedings-of-a-symposium-held-in-washington-dc-august-5-8-1985/): The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some recent techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts. It soon became clear, however, that the dynamical systems approach interfaced significantly with many important branches of applied mathematics. - [Nonlinear Semigroups, Partial Differential Equations and Attractors: Proceedings of a Symposium held in Washington, D.C., August 3-7, 1987](https://online.neatra.in/product/nonlinear-semigroups-partial-differential-equations-and-attractors-proceedings-of-a-symposium-held-in-washington-d-c-august-3-7-1987/) - [Nonlinear Reaction-Diffusion Systems: Conditional Symmetry, Exact Solutions and their Applications in Biology](https://online.neatra.in/product/nonlinear-reaction-diffusion-systems-conditional-symmetry-exact-solutions-and-their-applications-in-biology/): Presents important results in solving nonlinear reaction-diffusion equations Chapters contain ideas for further theoretical generalizations and examples for real world applications Includes applications to pattern formation, ecology and population dynamics Includes supplementary material: sn.pub/extras - [Nonlinear Problems in the Physical Sciences and Biology: Proceedings of a Battelle Summer Institute, Seattle, July 3 - 28, 1972](https://online.neatra.in/product/nonlinear-problems-in-the-physical-sciences-and-biology-proceedings-of-a-battelle-summer-institute-seattle-july-3-28-1972/) - [Nonlinear Potential Theory and Weighted Sobolev Spaces](https://online.neatra.in/product/nonlinear-potential-theory-and-weighted-sobolev-spaces/): Includes supplementary material: sn.pub/extras - [Nonlinear PDEÂ’s and Applications: C.I.M.E. Summer School, Cetraro, Italy 2008, Editors: Luigi Ambrosio, Giuseppe Savaré](https://online.neatra.in/product/nonlinear-pdeas-and-applications-c-i-m-e-summer-school-cetraro-italy-2008-editors-luigi-ambrosio-giuseppe-savare/): A broad overview on some deep results and new exciting developments Contribution of leading experts Accessible introduction to new theories and results - [Non-linear Partial Differential Operators and Quantization Procedures: Proceedings of a Workshop held at Clausthal, Federal Republic of Germany, 1981](https://online.neatra.in/product/non-linear-partial-differential-operators-and-quantization-procedures-proceedings-of-a-workshop-held-at-clausthal-federal-republic-of-germany-1981/) - [Nonlinear Partial Differential Equations and Applications: Proceedings of a Special Seminar, Held at Indiana University, 1976-1977](https://online.neatra.in/product/nonlinear-partial-differential-equations-and-applications-proceedings-of-a-special-seminar-held-at-indiana-university-1976-1977/) - [Nonlinear Optimization: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-7, 2007](https://online.neatra.in/product/nonlinear-optimization-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-july-1-7-2007/): Includes supplementary material: sn.pub/extras - [Nonlinear Optical and Atomic Systems: At the Interface of Physics and Mathematics](https://online.neatra.in/product/nonlinear-optical-and-atomic-systems-at-the-interface-of-physics-and-mathematics/): Focusing on the interface between mathematics and physics, this book offers an introduction to the physics, the mathematics, and the numerical simulation of nonlinear systems in optics and atomic physics. - [Nonlinear Operators and the Calculus of Variations: Summer School Held in Bruxelles, 8- 9 September 1975](https://online.neatra.in/product/nonlinear-operators-and-the-calculus-of-variations-summer-school-held-in-bruxelles-8-9-september-1975/) - [Nonlinear Hyperbolic Problems: Proceedings of an Advanced Research Workshop held in St. Etienne, France, January 13-17, 1986](https://online.neatra.in/product/nonlinear-hyperbolic-problems-proceedings-of-an-advanced-research-workshop-held-in-st-etienne-france-january-13-17-1986/): The field of nonlinear hyperbolic problems has been expanding very fast over the past few years, and has applications - actual and potential - in aerodynamics, multifluid flows, combustion, detonics amongst other. The difficulties that arise in application are of theoretical as well as numerical nature. - [Nonlinear Hyperbolic Problems: Proceedings of an Advanced Research Workshop held in Bordeaux, France, June 13-17, 1988](https://online.neatra.in/product/nonlinear-hyperbolic-problems-proceedings-of-an-advanced-research-workshop-held-in-bordeaux-france-june-13-17-1988/): The papers included in this proceedings volume are mostly original research papers, dealing with life-span of waves, nonlinear interaction of waves, and various applications to fluid mechanics. - [Nonlinear Fractional Schrödinger Equations in R^N](https://online.neatra.in/product/nonlinear-fractional-schrodinger-equations-in-rn/): This monograph presents recent results concerning nonlinear fractional elliptic problems in the whole space. More precisely, it investigates the existence, multiplicity and qualitative properties of solutions for fractional Schrödinger equations by applying suitable variational and topological methods. - [Nonlinear Filtering and Stochastic Control: Proceedings of the 3rd 1981 Session of the Centro Internazionale Matematico Estivo (CIME), Held at Cortona, July 1-10, 1981](https://online.neatra.in/product/nonlinear-filtering-and-stochastic-control-proceedings-of-the-3rd-1981-session-of-the-centro-internazionale-matematico-estivo-cime-held-at-cortona-july-1-10-1981/) - [Nonlinear Evolution Operators and Semigroups: Applications to Partial Differential Equations](https://online.neatra.in/product/nonlinear-evolution-operators-and-semigroups-applications-to-partial-differential-equations/): This research monograph deals with nonlinear evolution operators and semigroups generated by dissipative (accretive), possibly multivalued operators, as well as with the application of this theory to partial differential equations. It shows that a large class of PDE's can be studied via the semigroup approach. - [Nonlinear Evolution Equations - Global Behavior of Solutions](https://online.neatra.in/product/nonlinear-evolution-equations-global-behavior-of-solutions/) - [Nonlinear Equations for Beams and Degenerate Plates with Piers](https://online.neatra.in/product/nonlinear-equations-for-beams-and-degenerate-plates-with-piers/): This book develops a full theory for hinged beams and degenerate plates with multiple intermediate piers with the final purpose of understanding the stability of suspension bridges. New models are proposed and new tools are provided for the stability analysis. - [Nonlinear Elliptic Partial Differential Equations](https://online.neatra.in/product/nonlinear-elliptic-partial-differential-equations/): This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations. - [Nonlinear and Optimal Control Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004](https://online.neatra.in/product/nonlinear-and-optimal-control-theory-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-june-19-29-2004/): Includes supplementary material: sn.pub/extras - [Nonlinear Analysis and Optimization: Proceedings of the International Conference held in Bologna, Italy, May 3-7, 1982](https://online.neatra.in/product/nonlinear-analysis-and-optimization-proceedings-of-the-international-conference-held-in-bologna-italy-may-3-7-1982/) - [Non-Gaussian Selfsimilar Stochastic Processes](https://online.neatra.in/product/non-gaussian-selfsimilar-stochastic-processes/): This book offers an introduction to the field of stochastic analysis of Hermite processes. These selfsimilar stochastic processes with stationary increments live in a Wiener chaos and include the fractional Brownian motion, the only Gaussian process in this class. - [Non-Euclidean Laguerre Geometry and Incircular Nets](https://online.neatra.in/product/non-euclidean-laguerre-geometry-and-incircular-nets/): The first systematic introduction to non-Euclidean Laguerre geometry in the literature Demonstrates all features of Laguerre geometry in terms of one recent application: checkerboard incircular nets Beautifully illustrated by many render images - [Nonequilibrium Problems in Many-Particle Systems: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Monecatini, Italy, June 15-27, 1992](https://online.neatra.in/product/nonequilibrium-problems-in-many-particle-systems-lectures-given-at-the-3rd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-monecatini-italy-june-15-27-1992/): This volume contains the text of four sets of lectures delivered at the third session of the Summer School organized by C.I.M.E. (Centro Internazionale Matematico Estivo). These texts are preceded by an introduction written by C. Cercignani and M. Pulvirenti which summarizes the present status in the area of Nonequilibrium Problems in Many-Particle Systems and tries to put the contents of the different sets of lectures in the right perspective, in order to orient the reader. - [Non-complete Algebraic Surfaces](https://online.neatra.in/product/non-complete-algebraic-surfaces/) - [Noncommutative Stationary Processes](https://online.neatra.in/product/noncommutative-stationary-processes/): Includes supplementary material: sn.pub/extras - [Non-Commutative Ring Theory: Proceedings of a Conference held in Athens, Ohio, Sept. 29-30, 1989](https://online.neatra.in/product/non-commutative-ring-theory-proceedings-of-a-conference-held-in-athens-ohio-sept-29-30-1989/): The papers of this volume share as a common goal the structure and classi- fication of noncommutative rings and their modules, and deal with topics of current research including: localization, serial rings, perfect endomorphism rings, quantum groups, Morita contexts, generalizations of injectivitiy, and Cartan matrices. - [Noncommutative Ring Theory: Papers Presented at the Internation Conference held at Kent State University April 4-5, 1975](https://online.neatra.in/product/noncommutative-ring-theory-papers-presented-at-the-internation-conference-held-at-kent-state-university-april-4-5-1975/) - [Non-Commutative Harmonic Analysis: Proceedings Marseille-Luminy, France, June 26 to 30, 1978. Actes du Colloque d'Analyse Harmonique Non Commutative](https://online.neatra.in/product/non-commutative-harmonic-analysis-proceedings-marseille-luminy-france-june-26-to-30-1978-actes-du-colloque-danalyse-harmonique-non-commutative/) - [Non-Commutative Harmonic Analysis: Actes du Colloque d'Analyse Harmonique Non-Commutative, Marseille-Luminy, 5 au Juillet, 1976](https://online.neatra.in/product/non-commutative-harmonic-analysis-actes-du-colloque-danalyse-harmonique-non-commutative-marseille-luminy-5-au-juillet-1976/) - [Non-Commutative Harmonic Analysis: Actes du Colloque d'Analyse Harmonique Non-Commutative, Marseille-Luminy, 1-5 Juillet 1974](https://online.neatra.in/product/non-commutative-harmonic-analysis-actes-du-colloque-danalyse-harmonique-non-commutative-marseille-luminy-1-5-juillet-1974/) - [Non-Commutative Harmonic Analysis and Lie Groups: Proceedings of the International Conference Held in Marseille-Luminy, June 24-29, 1985](https://online.neatra.in/product/non-commutative-harmonic-analysis-and-lie-groups-proceedings-of-the-international-conference-held-in-marseille-luminy-june-24-29-1985/): All the papers in this volume are research papers presenting new results. Most of the results concern semi-simple Lie groups and non-Riemannian symmetric spaces: unitarisation, discrete series characters, multiplicities, orbital integrals. Some, however, also apply to related fields such as Dirac operators and characters in the general case. - [Noncommutative Gröbner Bases and Filtered-Graded Transfer](https://online.neatra.in/product/noncommutative-grobner-bases-and-filtered-graded-transfer/): Includes supplementary material: sn.pub/extras - [Noncommutative Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000](https://online.neatra.in/product/noncommutative-geometry-lectures-given-at-the-c-i-m-e-summer-school-held-in-martina-franca-italy-september-3-9-2000/): Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. - [Non-commutative Algebraic Geometry: An Introduction](https://online.neatra.in/product/non-commutative-algebraic-geometry-an-introduction/) - [Nonautonomous Dynamical Systems in the Life Sciences](https://online.neatra.in/product/nonautonomous-dynamical-systems-in-the-life-sciences/): Overview of recent developments in the theory of nonautonomous dynamical systems Examples of concepts and techniques in the context of simple models from the life sciences Representative collection of nonautonomous dynamical systems in the life sciences - [Nonautonomous Bifurcation Theory: Concepts and Tools](https://online.neatra.in/product/nonautonomous-bifurcation-theory-concepts-and-tools/): Bifurcation theory is a major topic in dynamical systems theory with profound applications. - [Non-Archimedean Operator Theory](https://online.neatra.in/product/non-archimedean-operator-theory/): This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. - [Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms](https://online.neatra.in/product/non-archimedean-l-functions-and-arithmetical-siegel-modular-forms/): This book, now in its 2nd edition, is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object are L-functions of classical Siegel modular forms whose special values are studied using the Rankin-Selberg method and the action of certain differential operators on modular forms which have nice arithmetical properties. - [Nonabelian Jacobian of Projective Surfaces: Geometry and Representation Theory](https://online.neatra.in/product/nonabelian-jacobian-of-projective-surfaces-geometry-and-representation-theory/): Includes supplementary material: sn.pub/extras - [Non Commutative Harmonic Analysis and Lie Groups: Proceedings of the International Conference Held in Marseille Luminy, June 21-26, 1982](https://online.neatra.in/product/non-commutative-harmonic-analysis-and-lie-groups-proceedings-of-the-international-conference-held-in-marseille-luminy-june-21-26-1982/) - [Non Commutative Harmonic Analysis and Lie Groups: Actes du Colloque d'Analyse Harmonique Non Commutative, 16 au 20 juin 1980 Marseille-Luminy](https://online.neatra.in/product/non-commutative-harmonic-analysis-and-lie-groups-actes-du-colloque-danalyse-harmonique-non-commutative-16-au-20-juin-1980-marseille-luminy/) - [Nilpotent Lie Groups: Structure and Applications to Analysis](https://online.neatra.in/product/nilpotent-lie-groups-structure-and-applications-to-analysis/) - [Nilpotent Groups](https://online.neatra.in/product/nilpotent-groups/) - [New Trends on Analysis and Geometry in Metric Spaces: Levico Terme, Italy 2017](https://online.neatra.in/product/new-trends-on-analysis-and-geometry-in-metric-spaces-levico-terme-italy-2017/): Contains new, original presentations at the forefront of current international research Includes different interconnected subjects with different applications Provides contributions to advanced subjects which offer a useful reference for young researchers - [New Techniques in Resolution of Singularities](https://online.neatra.in/product/new-techniques-in-resolution-of-singularities/): Resolution of singularities is notorious as a difficult topic within algebraic geometry. Recent work, aiming at resolution of families and semistable reduction, infused the subject with logarithmic geometry and algebraic stacks, two techniques essential for the current theory of moduli spaces. - [New Integrals: Proceedings of the Henstock Conference held in Coleraine, Northern Ireland, August 9-12, 1988](https://online.neatra.in/product/new-integrals-proceedings-of-the-henstock-conference-held-in-coleraine-northern-ireland-august-9-12-1988/) - [New Classes of Lp-Spaces](https://online.neatra.in/product/new-classes-of-lp-spaces/) - [Nevanlinna Theory, Normal Families, and Algebraic Differential Equations](https://online.neatra.in/product/nevanlinna-theory-normal-families-and-algebraic-differential-equations/): This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations. - [Nevanlinna Theory](https://online.neatra.in/product/nevanlinna-theory/): Highly recommendable as a comprehensive introduction to the modern Nevanlinna theory The last chapter is closely related to KodairaÂ’s remarkable last paper Recently, this lecture note was cited as a reference to basic formulas which cannot be found in other places Includes supplementary material: sn.pub/extras - [Néron Models and Base Change](https://online.neatra.in/product/neron-models-and-base-change/): Presenting the first systematic treatment of the behavior of Néron models under ramified base change, this book can be read as an introduction to various subtle invariants and constructions related to Néron models of semi-abelian varieties, motivated by concrete research problems and complemented with explicit examples. - [Nearly Pseudo-Kähler Manifolds and Related Special Holonomies](https://online.neatra.in/product/nearly-pseudo-kahler-manifolds-and-related-special-holonomies/): Developing and providing an overview of recent results on nearly Kähler geometry on pseudo-Riemannian manifolds, this monograph emphasizes the differences with the classical Riemannian geometry setting. The focal objects of the text are related to special holonomy and Killing spinors and have applications in high energy physics, such as supergravity and string theory. - [Nearly Projective Boolean Algebras](https://online.neatra.in/product/nearly-projective-boolean-algebras/): The book is a fairly complete and up-to-date survey of projectivity and its generalizations in the class of Boolean algebras. Although algebra adds its own methods and questions, many of the results presented were first proved by topologists in the more general setting of (not necessarily zero-dimensional) compact spaces. - [Nearly Integrable Infinite-Dimensional Hamiltonian Systems](https://online.neatra.in/product/nearly-integrable-infinite-dimensional-hamiltonian-systems/): The book is devoted to partial differential equations of Hamiltonian form, close to integrable equations. For such equations a KAM-like theorem is proved, stating that solutions of the unperturbed equation that are quasiperiodic in time mostly persist in the perturbed one. - [Nash Manifolds](https://online.neatra.in/product/nash-manifolds/): A Nash manifold denotes a real manifold furnished with algebraic structure, following a theorem of Nash that a compact differentiable manifold can be imbedded in a Euclidean space so that the image is precisely such a manifold. This book, in which almost all results are very recent or unpublished, is an account of the theory of Nash manifolds, whose properties are clearer and more regular than those of differentiable or PL manifolds. - [MVT: A Most Valuable Theorem](https://online.neatra.in/product/mvt-a-most-valuable-theorem/): This book is about the rise and supposed fall of the mean value theorem. It discusses the evolution of the theorem and the concepts behind it, how the theorem relates to other fundamental results in calculus, and modern re-evaluations of its role in the standard calculus course. - [Mutational Analysis: A Joint Framework for Cauchy Problems in and Beyond Vector Spaces](https://online.neatra.in/product/mutational-analysis-a-joint-framework-for-cauchy-problems-in-and-beyond-vector-spaces/): A broad class of evolution problems handled. Each chapter is quite self-contained so that the reader can select rather freely according to the examples of personal interest. Each example provides a table about its main results and the underlying choice of basic sets, distances etc.- The main points of the general framework are summarized in the introduction so that the reader can get the gist quickly. - [Multivariate Statistics: Exercises and Solutions](https://online.neatra.in/product/multivariate-statistics-exercises-and-solutions/): The authors present tools and concepts of multivariate data analysis by means of exercises and their solutions. - [Multivariate Calculus and Geometry](https://online.neatra.in/product/multivariate-calculus-and-geometry/): Places the differential and integral calculus of several variables in its natural geometric environment Presents interesting non-trivial applications of the differential calculus Shows how the differential calculus and classical geometry evolved into differential geometry Includes supplementary material: sn.pub/extras - [Multivariate Birkhoff Interpolation](https://online.neatra.in/product/multivariate-birkhoff-interpolation/): The subject of this book is Lagrange, Hermite and Birkhoff (lacunary Hermite) interpolation by multivariate algebraic polynomials. It unifies and extends a new algorithmic approach to this subject which was introduced and developed by G.G. Lorentz and the author. - [Multiscale Problems in the Life Sciences: From Microscopic to Macroscopic](https://online.neatra.in/product/multiscale-problems-in-the-life-sciences-from-microscopic-to-macroscopic/): Includes supplementary material: sn.pub/extras - [Multiscale Problems and Methods in Numerical Simulations: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 9-15, 2001](https://online.neatra.in/product/multiscale-problems-and-methods-in-numerical-simulations-lectures-given-at-the-c-i-m-e-summer-school-held-in-martina-franca-italy-september-9-15-2001/): This volume aims to disseminate a number of new ideas that have emerged in the last few years in the field of numerical simulation, all bearing the common denominator of the "multiscale" or "multilevel" paradigm. - [Multiscale and Adaptivity: Modeling, Numerics and Applications: C.I.M.E. Summer School, Cetraro, Italy 2009](https://online.neatra.in/product/multiscale-and-adaptivity-modeling-numerics-and-applications-c-i-m-e-summer-school-cetraro-italy-2009/): Gives an overview of state-of-the-art mathematical tools in multiscale modeling Contains a chapter on multiscale modeling and related numerical methods in fluid dynamics Provides a detailed description of adaptive finite element methods, ranging from the mathematical theory to implementation details and software development Includes supplementary material: sn.pub/extras - [Multipliers on Locally Compact Groups](https://online.neatra.in/product/multipliers-on-locally-compact-groups/) - [Multipliers for (C,alpha)-Bounded Fourier Expansions in Banach Spaces and Approximation Theory](https://online.neatra.in/product/multipliers-for-calpha-bounded-fourier-expansions-in-banach-spaces-and-approximation-theory/) - [Multiplication Operators on the Bergman Space](https://online.neatra.in/product/multiplication-operators-on-the-bergman-space/): This book deals with various aspects of commutants and reducing subspaces of multiplication operators on the Bergman space, along with relevant von Neumann algebras generated by these operators, which have been the focus of considerable attention from the authors and other experts in recent years. - [Multiplication of Distributions: A tool in mathematics, numerical engineering and theoretical physics](https://online.neatra.in/product/multiplication-of-distributions-a-tool-in-mathematics-numerical-engineering-and-theoretical-physics/): This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). - [Multiple Wiener-Itô Integrals: With Applications to Limit Theorems](https://online.neatra.in/product/multiple-wiener-ito-integrals-with-applications-to-limit-theorems/): Includes supplementary material: sn.pub/extras - [Orlicz Spaces and Generalized Orlicz Spaces](https://online.neatra.in/product/orlicz-spaces-and-generalized-orlicz-spaces/): This book presents a systematic treatment of generalized Orlicz spaces (also known as Musielak–Orlicz spaces) with minimal assumptions on the generating ?-function. It introduces and develops a technique centered on the use of equivalent ?-functions. - [Ordinary Differential Equations: Analysis, Qualitative Theory and Control](https://online.neatra.in/product/ordinary-differential-equations-analysis-qualitative-theory-and-control/): Provides a self-contained, rigorous and analytical treatment of initial-value problems for ordinary differential equations Includes an introduction to mathematical control theory which sets this text apart from others on the subject Allows for discontinuous time dependence in differential equations, but does not require Lebesgue integration theory Accessible to undergraduate students Includes supplementary material: sn.pub/extras - [Ordinary Differential Equations in Banach Spaces](https://online.neatra.in/product/ordinary-differential-equations-in-banach-spaces/) - [Ordinary Differential Equations and Operators: A Tribute to F.V. Atkinson. Proceedings of a Symposium held at Dundee, Scotland, March - July 1982](https://online.neatra.in/product/ordinary-differential-equations-and-operators-a-tribute-to-f-v-atkinson-proceedings-of-a-symposium-held-at-dundee-scotland-march-july-1982/) - [Ordinary and Partial Differential Equations: Proceedings of the Sixth Conference Held at Dundee, Scotland, March 31 - April 4, 1980](https://online.neatra.in/product/ordinary-and-partial-differential-equations-proceedings-of-the-sixth-conference-held-at-dundee-scotland-march-31-april-4-1980/): Includes supplementary material: sn.pub/extras - [Ordinary and Partial Differential Equations: Proceedings of the Seventh Conference Held at Dundee, Scotland, March 29 - April 2, 1982](https://online.neatra.in/product/ordinary-and-partial-differential-equations-proceedings-of-the-seventh-conference-held-at-dundee-scotland-march-29-april-2-1982/) - [Ordinary and Partial Differential Equations: Proceedings of the Fourth Conference held at Dundee, Scotland, March 30 - April 2, 1976](https://online.neatra.in/product/ordinary-and-partial-differential-equations-proceedings-of-the-fourth-conference-held-at-dundee-scotland-march-30-april-2-1976/) - [Ordinary and Partial Differential Equations: Proceedings of the Fifth Conference held at Dundee, Scotland, March 29-31, 1978](https://online.neatra.in/product/ordinary-and-partial-differential-equations-proceedings-of-the-fifth-conference-held-at-dundee-scotland-march-29-31-1978/) - [Ordinary and Partial Differential Equations: Proceedings of the Eighth Conference held at Dundee, Scotland, June 25-29, 1984](https://online.neatra.in/product/ordinary-and-partial-differential-equations-proceedings-of-the-eighth-conference-held-at-dundee-scotland-june-25-29-1984/) - [Ordinary and Partial Differential Equations: Proceedings of the Conference held at Dundee, Scotland, 26-29 March, 1974](https://online.neatra.in/product/ordinary-and-partial-differential-equations-proceedings-of-the-conference-held-at-dundee-scotland-26-29-march-1974/) - [Ordinary and Modular Representations of Chevalley Groups](https://online.neatra.in/product/ordinary-and-modular-representations-of-chevalley-groups/) - [Orders and their Applications: Proceedings of a Conference held in Oberwolfach, West Germany, June 3-9, 1984](https://online.neatra.in/product/orders-and-their-applications-proceedings-of-a-conference-held-in-oberwolfach-west-germany-june-3-9-1984/) - [Ordered Linear Spaces](https://online.neatra.in/product/ordered-linear-spaces/) - [Ordered Cones and Approximation](https://online.neatra.in/product/ordered-cones-and-approximation/): This book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. - [Order and Potential Resolvent Families of Kernels](https://online.neatra.in/product/order-and-potential-resolvent-families-of-kernels/) - [Order and Convexity in Potential Theory: H-Cones](https://online.neatra.in/product/order-and-convexity-in-potential-theory-h-cones/) - [Oracle Inequalities in Empirical Risk Minimization and Sparse Recovery Problems: École d’Été de Probabilités de Saint-Flour XXXVIII-2008](https://online.neatra.in/product/oracle-inequalities-in-empirical-risk-minimization-and-sparse-recovery-problems-ecole-daete-de-probabilites-de-saint-flour-xxxviii-2008/): Provides a unified framework for machine learning problems (such as large margin classification), sparse recovery and low rank matrix problems Develops a variety of probabilistic inequalities for empirical processes needed to obtain error bounds in machine learning and sparse recovery Develops a comprehensive theory of excess risk bounds and oracle inequalities for penalized empirical risk minimization Includes supplementary material: sn.pub/extras - [Optimization: Proceedings of the Fifth French-German Conference held in Castel-Novel (Varetz), France, Oct. 3-8, 1988](https://online.neatra.in/product/optimization-proceedings-of-the-fifth-french-german-conference-held-in-castel-novel-varetz-france-oct-3-8-1988/) - [Optimization in Banach Spaces](https://online.neatra.in/product/optimization-in-banach-spaces/): The book is devoted to the study of constrained minimization problems on closed and convex sets in Banach spaces with a Frechet differentiable objective function. Such problems are well studied in a finite-dimensional space and in an infinite-dimensional Hilbert space. - [Optimization and Related Fields: Proceedings of the G. Stampacchia International School of Mathematics, held at Erice, Sicily, September 17-30, 1984](https://online.neatra.in/product/optimization-and-related-fields-proceedings-of-the-g-stampacchia-international-school-of-mathematics-held-at-erice-sicily-september-17-30-1984/) - [Optimization and Optimal Control: Proceedings of a Conference held at Oberwolfach, November 17-23, 1974](https://online.neatra.in/product/optimization-and-optimal-control-proceedings-of-a-conference-held-at-oberwolfach-november-17-23-1974/) - [Optimal Urban Networks via Mass Transportation](https://online.neatra.in/product/optimal-urban-networks-via-mass-transportation/): Includes supplementary material: sn.pub/extras - [Optimal Transportation Networks: Models and Theory](https://online.neatra.in/product/optimal-transportation-networks-models-and-theory/): Includes supplementary material: sn.pub/extras - [Optimal Transportation and Applications: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 2–8, 2001](https://online.neatra.in/product/optimal-transportation-and-applications-lectures-given-at-the-c-i-m-e-summer-school-held-in-martina-franca-italy-september-2a-8-2001/): Includes supplementary material: sn.pub/extras - [Optimal Transport and Applications to Geometric Optics](https://online.neatra.in/product/optimal-transport-and-applications-to-geometric-optics/): This book concerns the theory of optimal transport (OT) and its applications to solving problems in geometric optics. It is a self-contained presentation including a detailed analysis of the Monge problem, the Monge-Kantorovich problem, the transshipment problem, and the network flow problem. - [Optimal Shape Design: Lectures given at the Joint C.I.M./C.I.M.E. Summer School held in Troia (Portugal), June 1-6, 1998](https://online.neatra.in/product/optimal-shape-design-lectures-given-at-the-joint-c-i-m-c-i-m-e-summer-school-held-in-troia-portugal-june-1-6-1998/): Optimal Shape Design is concerned with the optimization of some performance criterion dependent (besides the constraints of the problem) on the "shape" of some region. The main topics covered are: the optimal design of a geometrical object, for instance a wing, moving in a fluid| the optimal shape of a region (a harbor), given suitable constraints on the size of the entrance to the harbor, subject to incoming waves| the optimal design of some electrical device subject to constraints on the performance. - [Optimal Processes on Manifolds: An Application of Stoke's Theorem](https://online.neatra.in/product/optimal-processes-on-manifolds-an-application-of-stokes-theorem/) - [Optimal Periodic Control](https://online.neatra.in/product/optimal-periodic-control/): This research monograph deals with optimal periodic control problems for systems governed by ordinary and functional differential equations of retarded type. Particular attention is given to the problem of local properness, i.e. whether system performance can be improved by introducing periodic motions. - [Optimal Design of Multi-Phase Materials: With a Cost Functional That Depends Nonlinearly on The Gradient](https://online.neatra.in/product/optimal-design-of-multi-phase-materials-with-a-cost-functional-that-depends-nonlinearly-on-the-gradient/): Provides a comprehensive introduction to the mathematical modeling of material design problems Shows, in a practical example, the interest of introducing a relaxed formulation in an optimization problem Contains some numerical experiments for practical examples - [Optimal Control: Novel Directions and Applications](https://online.neatra.in/product/optimal-control-novel-directions-and-applications/): Focusing on applications to science and engineering, this book presents the results of the ITN-FP7 SADCO networkÂ’s innovative research in optimization and control in the following interconnected topics: optimality conditions in optimal control, dynamic programming approaches to optimal feedback synthesis and reachability analysis, and computational developments in model predictive control. - [Optimal Control Theory for the Damping of Vibrations of Simple Elastic Systems](https://online.neatra.in/product/optimal-control-theory-for-the-damping-of-vibrations-of-simple-elastic-systems/) - [Optimal Control of Nonsmooth Distributed Parameter Systems](https://online.neatra.in/product/optimal-control-of-nonsmooth-distributed-parameter-systems/): The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control. - [Operator-Valued Measures and Integrals for Cone-Valued Functions](https://online.neatra.in/product/operator-valued-measures-and-integrals-for-cone-valued-functions/): Includes supplementary material: sn.pub/extras - [Operator Functions and Localization of Spectra](https://online.neatra.in/product/operator-functions-and-localization-of-spectra/): Operator Functions and Localization of Spectra is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. - [Operator Algebras Generated by Commuting Projections: A Vector Measure Approach](https://online.neatra.in/product/operator-algebras-generated-by-commuting-projections-a-vector-measure-approach/): Includes supplementary material: sn.pub/extras - [Operator Algebras and their Connections with Topology and Ergodic Theory: Proceedings of the OATE Conference held in Busteni, Romania, August 29 - September 9, 1983](https://online.neatra.in/product/operator-algebras-and-their-connections-with-topology-and-ergodic-theory-proceedings-of-the-oate-conference-held-in-busteni-romania-august-29-september-9-1983/) - [Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension](https://online.neatra.in/product/operator-algebras-and-dynamics-groupoids-crossed-products-and-rokhlin-dimension/): This book collects the notes of the lectures given at the Advanced Course on Crossed Products, Groupoids, and Rokhlin dimension, that took place at the Centre de Recerca Matemàtica (CRM) from March 13 to March 17, 2017. The notes consist of three series of lectures. - [Operads of Wiring Diagrams](https://online.neatra.in/product/operads-of-wiring-diagrams/): Wiring diagrams form a kind of graphical language that describes operations or processes with multiple inputs and outputs, and shows how such operations are wired together to form a larger and more complex operation. This monograph presents a comprehensive study of the combinatorial structure of the various operads of wiring diagrams, their algebras, and the relationships between these operads. - [Open Quantum Systems III: Recent Developments](https://online.neatra.in/product/open-quantum-systems-iii-recent-developments/): Includes supplementary material: sn.pub/extras - [Open Quantum Systems II: The Markovian Approach](https://online.neatra.in/product/open-quantum-systems-ii-the-markovian-approach/): Includes supplementary material: sn.pub/extras - [Open Quantum Systems I: The Hamiltonian Approach](https://online.neatra.in/product/open-quantum-systems-i-the-hamiltonian-approach/): Includes supplementary material: sn.pub/extras - [Open Conformal Systems and Perturbations of Transfer Operators](https://online.neatra.in/product/open-conformal-systems-and-perturbations-of-transfer-operators/): The focus of this book is on open conformal dynamical systems corresponding to the escape of a point through an open Euclidean ball. The ultimate goal is to understand the asymptotic behavior of the escape rate as the radius of the ball tends to zero. - [Ontology Engineering](https://online.neatra.in/product/ontology-engineering/): Ontologies have become increasingly important as the use of knowledge graphs, machine learning, natural language processing (NLP), and the amount of data generated on a daily basis has exploded. As of 2014, 90% of the data in the digital universe was generated in the two years prior, and the volume of data was projected to grow from 3.2 zettabytes to 40 zettabytes in the next six years. - [One-parameter Semigroups of Positive Operators](https://online.neatra.in/product/one-parameter-semigroups-of-positive-operators/) - [One-Dimensional Cohen-Macaulay Rings](https://online.neatra.in/product/one-dimensional-cohen-macaulay-rings/) - [On Topologies and Boundaries in Potential Theory](https://online.neatra.in/product/on-topologies-and-boundaries-in-potential-theory/) - [On the Theory of Maass Wave Forms](https://online.neatra.in/product/on-the-theory-of-maass-wave-forms/): Provides a rigorous analytical treatment of the theory of Maass wave forms Presents a self-contained exploration of the topic, from a brief review of introductory concepts through to cutting edge research Offers readers a number of insightful exercises with solutions available online Includes supplementary material: sn.pub/extras - [On the Pointwise Convergence of Fourier Series](https://online.neatra.in/product/on-the-pointwise-convergence-of-fourier-series/) - [On the Geometry of Some Special Projective Varieties](https://online.neatra.in/product/on-the-geometry-of-some-special-projective-varieties/): Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal cases. - [On the Geometry of Diffusion Operators and Stochastic Flows](https://online.neatra.in/product/on-the-geometry-of-diffusion-operators-and-stochastic-flows/): Stochastic differential equations, and Hoermander form representations of diffusion operators, can determine a linear connection associated to the underlying (sub)-Riemannian structure. This is systematically described, together with its invariants, and then exploited to discuss qualitative properties of stochastic flows, and analysis on path spaces of compact manifolds with diffusion measures. - [On the Functional Equations Satisfied by Eisenstein Series](https://online.neatra.in/product/on-the-functional-equations-satisfied-by-eisenstein-series/) - [On the Estimation of Multiple Random Integrals and U-Statistics](https://online.neatra.in/product/on-the-estimation-of-multiple-random-integrals-and-u-statistics/): Includes supplementary material: sn.pub/extras - [On the C*-Algebras of Foliations in the Plane](https://online.neatra.in/product/on-the-c-algebras-of-foliations-in-the-plane/): The main result of this original research monograph is the classification of C*-algebras of ordinary foliations of the plane in terms of a class of -trees. It reveals a close connection between some most recent developments in modern analysis and low-dimensional topology. - [On Stein's Method for Infinitely Divisible Laws with Finite First Moment](https://online.neatra.in/product/on-steins-method-for-infinitely-divisible-laws-with-finite-first-moment/): This book focuses on quantitative approximation results for weak limit theorems when the target limiting law is infinitely divisible with finite first moment. Two methods are presented and developed to obtain such quantitative results. - [On Hilbert-Type and Hardy-Type Integral Inequalities and Applications](https://online.neatra.in/product/on-hilbert-type-and-hardy-type-integral-inequalities-and-applications/): This book is aimed toward graduate students and researchers in mathematics, physics and engineering interested in the latest developments in analytic inequalities, Hilbert-Type and Hardy-Type integral inequalities, and their applications. - [On Graph Approaches to Contextuality and their Role in Quantum Theory](https://online.neatra.in/product/on-graph-approaches-to-contextuality-and-their-role-in-quantum-theory/): This book explores two of the most striking features of quantum theory – contextuality and nonlocality – using a formulation based on graph theory. - [On Global Univalence Theorems](https://online.neatra.in/product/on-global-univalence-theorems/) - [On Dirichlet's Boundary Value Problem: LP-Theory based on a Generalization of Garding's Inequality](https://online.neatra.in/product/on-dirichlets-boundary-value-problem-lp-theory-based-on-a-generalization-of-gardings-inequality/) - [On Construction and Identification of Graphs](https://online.neatra.in/product/on-construction-and-identification-of-graphs/) - [On Automorphisms of Siegel Domains](https://online.neatra.in/product/on-automorphisms-of-siegel-domains/) - [On Artin's Conjecture for Odd 2-dimensional Representations](https://online.neatra.in/product/on-artins-conjecture-for-odd-2-dimensional-representations/): The main topic of the volume is to develop efficient algorithms by which one can verify Artin's conjecture for odd two-dimensional representations in a fairly wide range. To do this, one has to determine the number of all representations with given Artin conductor and determinant and to compute the dimension of a corresponding space of cusp forms of weight 1 which is done by exploiting the explicit knowledge of the operation of Hecke operators on modular symbols. - [Odd Order Group Actions and Witt Classification of Innerproducts](https://online.neatra.in/product/odd-order-group-actions-and-witt-classification-of-innerproducts/) - [Obstruction Theory: On Homotopy Classification of Maps](https://online.neatra.in/product/obstruction-theory-on-homotopy-classification-of-maps/) - [Oblique Derivative Problems for Elliptic Equations in Conical Domains](https://online.neatra.in/product/oblique-derivative-problems-for-elliptic-equations-in-conical-domains/): The aim of our book is the investigation of the behavior of strong and weak solutions to the regular oblique derivative problems for second order elliptic equations, linear and quasi-linear, in the neighborhood of the boundary singularities. The main goal is to establish the precise exponent of the solution decrease rate and under the best possible conditions. - [Numerische Behandlung nichtlinearer Integrodifferential- und Differentialgleichungen: Vorträge einer Tagung im Mathematischen Forschungsinstitut Oberwolfach, 2.12.-7.12.1973](https://online.neatra.in/product/numerische-behandlung-nichtlinearer-integrodifferential-und-differentialgleichungen-vortrage-einer-tagung-im-mathematischen-forschungsinstitut-oberwolfach-2-12-7-12-1973/) - [Numerical Treatment of Differential Equations: Proceedings of a Conference, Held at Oberwolfach, July 4-10, 1976](https://online.neatra.in/product/numerical-treatment-of-differential-equations-proceedings-of-a-conference-held-at-oberwolfach-july-4-10-1976/) - [Numerical Treatment of Differential Equations in Applications: Proceedings, Oberwolfach, Germany, December 1977](https://online.neatra.in/product/numerical-treatment-of-differential-equations-in-applications-proceedings-oberwolfach-germany-december-1977/) - [Numerical Solutions Applied to Heat Transfer with the SPH Method: A Verification of Approximations for Speed and Accuracy](https://online.neatra.in/product/numerical-solutions-applied-to-heat-transfer-with-the-sph-method-a-verification-of-approximations-for-speed-and-accuracy/): This book offers an in-depth verification of numerical solutions for differential equations modeling heat transfer phenomena, where the smoothed particle hydrodynamics (SPH) method is used to discretize the mathematical models. Techniques described in this book aim to speed up the convergence of numerical solutions and increase their accuracy by significantly reducing the discretization error. - [Numerical Solution of Nonlinear Equations: Proceedings, Bremen, 1980](https://online.neatra.in/product/numerical-solution-of-nonlinear-equations-proceedings-bremen-1980/) - [Numerical Simulation in Applied Geophysics](https://online.neatra.in/product/numerical-simulation-in-applied-geophysics/): This book presents the theory of waves propagation in a fluid-saturated porous medium (a Biot medium) and its application in Applied Geophysics. In particular, a derivation of absorbing boundary conditions in viscoelastic and poroelastic media is presented, which later is employed in the applications. - [Numerical Probability](https://online.neatra.in/product/numerical-probability/): This textbook provides a self-contained introduction to numerical methods in probability with a focus on applications to finance. - [Numerical Methods: Proceedings of the International Workshop Held at Caracas, June 14-18, 1982](https://online.neatra.in/product/numerical-methods-proceedings-of-the-international-workshop-held-at-caracas-june-14-18-1982/) - [Numerical Methods in Fluid Dynamics: Lectures given at the 3rd 1983 Session of the Centro Internationale Matematico Estivo (CIME) held at Como, Italy, July 7-15, 1983](https://online.neatra.in/product/numerical-methods-in-fluid-dynamics-lectures-given-at-the-3rd-1983-session-of-the-centro-internationale-matematico-estivo-cime-held-at-como-italy-july-7-15-1983/) - [Numerical Methods for Processes in Fractured Porous Media](https://online.neatra.in/product/numerical-methods-for-processes-in-fractured-porous-media/): Collects state-of-the-art research on the numerical simulation of fractured porous media, focusing on flow and geomechanics Presents applications of modern numerical methods to the problem of flow in fractured porous media Assembles in one volume topically related articles that first appeared in issues of the International Journal on Geomathematics - [Numerical Methods for Partial Differential Equations: Proceedings of a Conference held in Shanghai, P.R. China, March 25-29, 1987](https://online.neatra.in/product/numerical-methods-for-partial-differential-equations-proceedings-of-a-conference-held-in-shanghai-p-r-china-march-25-29-1987/): These Proceedings of the first Chinese Conference on Numerical Methods for Partial Differential Equations covers topics such as difference methods, finite element methods, spectral methods, splitting methods, parallel algorithm etc., their theoretical foundation and applications to engineering. - [Numerical Methods for Partial Differential Equations](https://online.neatra.in/product/numerical-methods-for-partial-differential-equations/): THIS BOOK IS THE COMPANION VOLUME TO ANALYTIC METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS. THE EMPHASIS IS ON THE PRACTICAL SOLUTION OF PROBLEMS RATHER THAN THE THEORETICAL BACKGROUND * CONTAINS NUMEROUS EXERCISES WITH WORKED SOLUTIONS. Includes supplementary material: sn.pub/extras - [Numerical Methods for Ordinary Differential Equations: Proceedings of the Workshop held in L'Aquila (Italy), September 16-18, 1987](https://online.neatra.in/product/numerical-methods-for-ordinary-differential-equations-proceedings-of-the-workshop-held-in-laquila-italy-september-16-18-1987/) - [Numerical Methods for Ordinary Differential Equations: Initial Value Problems](https://online.neatra.in/product/numerical-methods-for-ordinary-differential-equations-initial-value-problems/): Focuses on the analysis of numerical methods without losing sight of the practical nature of the subject Covers topics traditionally treated in a first course, but also highlights new and emerging themes Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material - [Numerical Methods for Optimal Control Problems with State Constraints](https://online.neatra.in/product/numerical-methods-for-optimal-control-problems-with-state-constraints/): Includes supplementary material: sn.pub/extras - [Numerical Methods for Mixed Finite Element Problems](https://online.neatra.in/product/numerical-methods-for-mixed-finite-element-problems/): This book focuses on iterative solvers and preconditioners for mixed finite element methods. It provides an overview of some of the state-of-the-art solvers for discrete systems with constraints such as those which arise from mixed formulations. - [Numerical Methods for Eulerian and Lagrangian Conservation Laws](https://online.neatra.in/product/numerical-methods-for-eulerian-and-lagrangian-conservation-laws/): This book focuses on the interplay between Eulerian and Lagrangian conservation laws for systems that admit physical motivation and originate from continuum mechanics. Ultimately, it highlights what is specific to and beneficial in the Lagrangian approach and its numerical methods. - [Numerical Methods and Analysis of Multiscale Problems](https://online.neatra.in/product/numerical-methods-and-analysis-of-multiscale-problems/): Offers an introduction to asymptotic analysis techniques and various finite element methods for elliptic problems Presents numerous case studies on modeling techniques of multiscale PDEs, in one- and two-dimensional domains Explores modeling through both continuous and numerical approximations Includes supplementary material: sn.pub/extras - [Numerical Linear Algebra: A Concise Introduction with MATLAB and Julia](https://online.neatra.in/product/numerical-linear-algebra-a-concise-introduction-with-matlab-and-julia/): This book offers an introduction to the algorithmic-numerical thinking using basic problems of linear algebra. By focusing on linear algebra, it ensures a stronger thematic coherence than is otherwise found in introductory lectures on numerics. - [Numerical Integration of Space Fractional Partial Differential Equations: Vol 2 - Applications from Classical Integer PDEs](https://online.neatra.in/product/numerical-integration-of-space-fractional-partial-differential-equations-vol-2-applications-from-classical-integer-pdes/): Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering. PDEs can have partial derivatives with respect to (1) an initial value variable, typically time, and (2) boundary value variables, typically spatial variables. - [Numerical Integration of Space Fractional Partial Differential Equations: Vol 1 - Introduction to Algorithms and Computer Coding in R](https://online.neatra.in/product/numerical-integration-of-space-fractional-partial-differential-equations-vol-1-introduction-to-algorithms-and-computer-coding-in-r/): Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering. PDEs can have partial derivatives with respect to (1) an initial value variable, typically time, and (2) boundary value variables, typically spatial variables. - [Numerical Integration of Differential Equations and Large Linear Systems: Proceedings of two Workshops Held at the University of Bielefeld, Spring 1980](https://online.neatra.in/product/numerical-integration-of-differential-equations-and-large-linear-systems-proceedings-of-two-workshops-held-at-the-university-of-bielefeld-spring-1980/) - [Numerical Approximations of Stochastic Maxwell Equations: via Structure-Preserving Algorithms](https://online.neatra.in/product/numerical-approximations-of-stochastic-maxwell-equations-via-structure-preserving-algorithms/): Provides the study of intrinsic properties possessed by stochastic Maxwell equations Constructs structure-preserving algorithms of stochastic Maxwell equations Presents the analysis on regularities and error estimates for the stochastic structure-preserving algorithms - [Numerical Approximation of Ordinary Differential Problems: From Deterministic to Stochastic Numerical Methods](https://online.neatra.in/product/numerical-approximation-of-ordinary-differential-problems-from-deterministic-to-stochastic-numerical-methods/): This book is focused on the numerical discretization of ordinary differential equations (ODEs), under several perspectives. The attention is first conveyed to providing accurate numerical solutions of deterministic problems. - [Numerical Analysis: Proceedings of the Third IIMAS Workshop Held at Cocoyoc, Mexico, January 1981](https://online.neatra.in/product/numerical-analysis-proceedings-of-the-third-iimas-workshop-held-at-cocoyoc-mexico-january-1981/) - [Numerical Analysis: Proceedings of the Fourth IIMAS Workshop held at Guanajuato, Mexico, July 1984](https://online.neatra.in/product/numerical-analysis-proceedings-of-the-fourth-iimas-workshop-held-at-guanajuato-mexico-july-1984/) - [Numerical Analysis: Proceedings of the Dundee Conference on Numerical Analysis, 1975](https://online.neatra.in/product/numerical-analysis-proceedings-of-the-dundee-conference-on-numerical-analysis-1975/) - [Numerical Analysis: Proceedings of the Biennial Conference Held at Dundee, June 28 - July 1, 1977](https://online.neatra.in/product/numerical-analysis-proceedings-of-the-biennial-conference-held-at-dundee-june-28-july-1-1977/) - [Numerical Analysis: Proceedings of the 9th Biennial Conference Held at Dundee, Great Britain, June 1981](https://online.neatra.in/product/numerical-analysis-proceedings-of-the-9th-biennial-conference-held-at-dundee-great-britain-june-1981/) - [Numerical Analysis: Proceedings of the 8th Biennial Conference Held at Dundee, Scotland, June 26-29, 1979](https://online.neatra.in/product/numerical-analysis-proceedings-of-the-8th-biennial-conference-held-at-dundee-scotland-june-26-29-1979/) - [Numerical Analysis: Proceedings of the 10th Biennial Conference held at Dundee, Scotland, June 28 - July 1, 1983](https://online.neatra.in/product/numerical-analysis-proceedings-of-the-10th-biennial-conference-held-at-dundee-scotland-june-28-july-1-1983/) - [Numerical Analysis, Lancaster 1984: Proceedings of the SERC Summer School held in Lancaster, England, July 15 - August 3, 1984](https://online.neatra.in/product/numerical-analysis-lancaster-1984-proceedings-of-the-serc-summer-school-held-in-lancaster-england-july-15-august-3-1984/) - [Numerical Analysis of Ordinary and Delay Differential Equations](https://online.neatra.in/product/numerical-analysis-of-ordinary-and-delay-differential-equations/): This book serves as a concise textbook for students in an advanced undergraduate or first-year graduate course in various disciplines such as applied mathematics, control, and engineering, who want to understand the modern standard of numerical methods of ordinary and delay differential equations. Experts in the same fields can also learn about the recent developments in numerical analysis of such differential systems. - [Number-Theoretic Analysis: Seminar, Vienna 1988-89](https://online.neatra.in/product/number-theoretic-analysis-seminar-vienna-1988-89/) - [Numbers](https://online.neatra.in/product/numbers/): A book about numbers sounds rather dull. This one is not. Instead it is a lively story about one thread of mathematics-the concept of "number"­ told by eight authors and organized into a historical narrative that leads the reader from ancient Egypt to the late twentieth century. - [Number Theory: Proceedings of the Third Matscience Conference Held at Mysore, India, June 3-6, 1981](https://online.neatra.in/product/number-theory-proceedings-of-the-third-matscience-conference-held-at-mysore-india-june-3-6-1981/) - [Probability Measures on Groups IX: Proceedings of a Conference held in Oberwolfach, FRG, January 17-23, 1988](https://online.neatra.in/product/probability-measures-on-groups-ix-proceedings-of-a-conference-held-in-oberwolfach-frg-january-17-23-1988/): The latest in this series of Oberwolfach conferences focussed on the interplay between structural probability theory and various other areas of pure and applied mathematics such as Tauberian theory, infinite-dimensional rotation groups, central limit theorems, harmonizable processes, and spherical data. Thus it was attended by mathematicians whose research interests range from number theory to quantum physics in conjunction with structural properties of probabilistic phenomena. - [Probability Measure on Groups VII: Proceedings of a Conference held in Oberwolfach, April 24-30, 1983](https://online.neatra.in/product/probability-measure-on-groups-vii-proceedings-of-a-conference-held-in-oberwolfach-april-24-30-1983/) - [Probability in Banach Spaces: Proceedings of the First International Conference on Probability in Banach Spaces, 20 - 26 July 1975, Oberwolfach](https://online.neatra.in/product/probability-in-banach-spaces-proceedings-of-the-first-international-conference-on-probability-in-banach-spaces-20-26-july-1975-oberwolfach/) - [Probability in Banach Spaces V: Proceedings of the International Conference held in Medford, USA, July 16-27, 1984](https://online.neatra.in/product/probability-in-banach-spaces-v-proceedings-of-the-international-conference-held-in-medford-usa-july-16-27-1984/) - [Probability in Banach Spaces IV: Proceedings of the Seminar Held in Oberwolfach, FRG, July 1982](https://online.neatra.in/product/probability-in-banach-spaces-iv-proceedings-of-the-seminar-held-in-oberwolfach-frg-july-1982/) - [Probability in Banach Spaces III: Proceedings of the Third International Conference on Probability in Banach Spaces, Held at Tufts University, Medford, USA, August 4-16, 1980](https://online.neatra.in/product/probability-in-banach-spaces-iii-proceedings-of-the-third-international-conference-on-probability-in-banach-spaces-held-at-tufts-university-medford-usa-august-4-16-1980/) - [Probability in Banach Spaces II: Proceedings of the Second International Conference on Probability in Banach Spaces, 18-24 June 1978, Oberwolfach, Germany](https://online.neatra.in/product/probability-in-banach-spaces-ii-proceedings-of-the-second-international-conference-on-probability-in-banach-spaces-18-24-june-1978-oberwolfach-germany/) - [Probability for Statisticians](https://online.neatra.in/product/probability-for-statisticians/): This 2nd edition textbook offers a rigorous introduction to measure theoretic probability with particular attention to topics of interest to mathematical statisticians—a textbook for courses in probability for students in mathematical statistics. It is recommended to anyone interested in the probability underlying modern statistics, providing a solid grounding in the probabilistic tools and techniques necessary to do theoretical research in statistics. - [Probability and Statistics for STEM: A Course in One Semester](https://online.neatra.in/product/probability-and-statistics-for-stem-a-course-in-one-semester/): One of the most important subjects for all engineers and scientists is probability and statistics. This book presents the basics of the essential topics in probability and statistics from a rigorous standpoint. - [Probability and Simulation](https://online.neatra.in/product/probability-and-simulation/): This undergraduate textbook presents an inquiry-based learning course in stochastic models and computing designed to serve as a first course in probability. Its modular structure complements a traditional lecture format, introducing new topics chapter by chapter with accompanying projects for group collaboration. - [Probability and Real Trees: École d'Été de Probabilités de Saint-Flour XXXV-2005](https://online.neatra.in/product/probability-and-real-trees-ecole-dete-de-probabilites-de-saint-flour-xxxv-2005/): Includes supplementary material: sn.pub/extras - [Probability and Information Theory: Proceedings of the International Symposium at McMaster University, Canada, April, 1968](https://online.neatra.in/product/probability-and-information-theory-proceedings-of-the-international-symposium-at-mcmaster-university-canada-april-1968/) - [Probability and Information Theory II](https://online.neatra.in/product/probability-and-information-theory-ii/) - [Probability and Banach Spaces: Proceedings of a Conference held in Zaragoza, June 17-21, 1985](https://online.neatra.in/product/probability-and-banach-spaces-proceedings-of-a-conference-held-in-zaragoza-june-17-21-1985/) - [Probability and Analysis: Held at Varenna (Como)| Italy, May, 31 - June 8, 1985](https://online.neatra.in/product/probability-and-analysis-held-at-varenna-como-italy-may-31-june-8-1985/) - [Probabilities on the Heisenberg Group: Limit Theorems and Brownian Motion](https://online.neatra.in/product/probabilities-on-the-heisenberg-group-limit-theorems-and-brownian-motion/): The Heisenberg group comes from quantum mechanics and is the simplest non-commutative Lie group. While it belongs to the class of simply connected nilpotent Lie groups, it turns out that its special structure yields many results which (up to now) have not carried over to this larger class. - [Probabilistic Models of Population Evolution: Scaling Limits, Genealogies and Interactions](https://online.neatra.in/product/probabilistic-models-of-population-evolution-scaling-limits-genealogies-and-interactions/): This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). - [Probabilistic Models for Nonlinear Partial Differential Equations: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, May 22-30, 1995](https://online.neatra.in/product/probabilistic-models-for-nonlinear-partial-differential-equations-lectures-given-at-the-1st-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-montecatini-terme-italy-may-22/): The lecture courses of the CIME Summer School on Probabilistic Models for Nonlinear PDE's and their Numerical Applications (April 1995) had a three-fold emphasis: first, on the weak convergence of stochastic integrals| second, on the probabilistic interpretation and the particle approximation of equations coming from Physics (conservation laws, Boltzmann-like and Navier-Stokes equations)| third, on the modelling of networks by interacting particle systems. - [Probabilistic Methods in Telecommunications](https://online.neatra.in/product/probabilistic-methods-in-telecommunications/): Probabilistic modeling and analysis of spatial telecommunication systems have never been more important than they are today. In particular, it is an essential research area for designing and developing next-generation communication networks that are based on multihop message transmission technology. - [Probabilistic Methods in Differential Equations: Proceedings of the Conference held at the University of Victoria, August 19-20, 1974](https://online.neatra.in/product/probabilistic-methods-in-differential-equations-proceedings-of-the-conference-held-at-the-university-of-victoria-august-19-20-1974/) - [Probabilistic Group Theory, Combinatorics, and Computing: Lectures from the Fifth de Brún Workshop](https://online.neatra.in/product/probabilistic-group-theory-combinatorics-and-computing-lectures-from-the-fifth-de-brun-workshop/): Unique selection of frontier results which are not available in any other sources Authors are world leading researchers Each chapter is a ready-made graduate lecture course Includes supplementary material: sn.pub/extras - [Privacy in Mobile and Pervasive Computing](https://online.neatra.in/product/privacy-in-mobile-and-pervasive-computing/): It is easy to imagine that a future populated with an ever-increasing number of mobile and pervasive devices that record our minute goings and doings will significantly expand the amount of information that will be collected, stored, processed, and shared about us by both corporations and governments. - [Principles of Intuitionism: Lectures presented at the Summer Conference on Intuitionism and Proof Theory (1968) at SUNY at Buffalo, NY](https://online.neatra.in/product/principles-of-intuitionism-lectures-presented-at-the-summer-conference-on-intuitionism-and-proof-theory-1968-at-suny-at-buffalo-ny/) - [Principles of Continuum Mechanics](https://online.neatra.in/product/principles-of-continuum-mechanics/): This book addresses the basic concepts of continuum mechanics, that is, the classical field theory of deformable bodies. The theory is systematically developed, from the kinematics to the balance equations, the material theory, and the entropy principles. In turn, the linear-elastic solids, the ideal liquid and the Newtonian liquid are presented in detail as concrete applications. - [Principles of Blockchain Systems](https://online.neatra.in/product/principles-of-blockchain-systems/): This book is the first to present the state of the art and provide technical focus on the latest advances in the foundations of blockchain systems. - [Prime Spectra in Non-Commutative Algebra](https://online.neatra.in/product/prime-spectra-in-non-commutative-algebra/) - [Prime Divisors and Noncommutative Valuation Theory](https://online.neatra.in/product/prime-divisors-and-noncommutative-valuation-theory/): Describes different generalizations of valuations from the common generalized concept of primes in algebras Combines the arithmetic of finite dimensional central simple algebras with new theory for infinite dimensional ones Mixing methods concerning value functions, valuation filtrations and orders over valuation rings for the study of new classes of algebras, e.g. quantized algebras, Weyl algebras and Hopf algebras Includes supplementary material: sn.pub/extras - [Primality Testing and Abelian Varieties Over Finite Fields](https://online.neatra.in/product/primality-testing-and-abelian-varieties-over-finite-fields/): From Gauss to G|del, mathematicians have sought an efficient algorithm to distinguish prime numbers from composite numbers. This book presents a random polynomial time algorithm for the problem. - [Pricing Derivatives Under Lévy Models: Modern Finite-Difference and Pseudo-Differential Operators Approach](https://online.neatra.in/product/pricing-derivatives-under-levy-models-modern-finite-difference-and-pseudo-differential-operators-approach/): This monograph presents a novel numerical approach to solving partial integro-differential equations arising in asset pricing models with jumps, which greatly exceeds the efficiency of existing approaches. - [Preconditioned Conjugate Gradient Methods: Proceedings of a Conference held in Nijmegen, The Netherlands, June 19-21, 1989](https://online.neatra.in/product/preconditioned-conjugate-gradient-methods-proceedings-of-a-conference-held-in-nijmegen-the-netherlands-june-19-21-1989/) - [Precise Spectral Asymptotics for Elliptic Operators Acting in Fiberings over Manifolds with Boundary](https://online.neatra.in/product/precise-spectral-asymptotics-for-elliptic-operators-acting-in-fiberings-over-manifolds-with-boundary/) - [Power Sums, Gorenstein Algebras, and Determinantal Loci](https://online.neatra.in/product/power-sums-gorenstein-algebras-and-determinantal-loci/): Includes supplementary material: sn.pub/extras - [Potential Theory: Copenhagen 1979: Proceedings of a Colloquium Held in Copenhagen, May 14-18, 1979](https://online.neatra.in/product/potential-theory-copenhagen-1979-proceedings-of-a-colloquium-held-in-copenhagen-may-14-18-1979/) - [Potential Theory, Surveys and Problems: Proceedings of a Conference held in Prague, July 19-24, 1987](https://online.neatra.in/product/potential-theory-surveys-and-problems-proceedings-of-a-conference-held-in-prague-july-19-24-1987/): The volume comprises eleven survey papers based on survey lectures delivered at the Conference in Prague in July 1987, which covered various facets of potential theory, including its applications in other areas. The survey papers deal with both classical and abstract potential theory and its relations to partial differential equations, stochastic processes and other branches such as numerical analysis and topology. - [Potential Theory on Sierpinski Carpets: With Applications to Uniformization](https://online.neatra.in/product/potential-theory-on-sierpinski-carpets-with-applications-to-uniformization/): Reflects the most recent developments in the field The exposition is entirely self-contained Provides detailed proofs preceded by outlines for the convenience of the reader - [Potential Theory on Infinite Networks](https://online.neatra.in/product/potential-theory-on-infinite-networks/): The aim of the book is to give a unified approach to new developments in discrete potential theory and infinite network theory. The author confines himself to the finite energy case, but this does not result in loss of complexity. - [Potential Theory - Selected Topics](https://online.neatra.in/product/potential-theory-selected-topics/): The first part of these lecture notes is an introduction to potential theory to prepare the reader for later parts, which can be used as the basis for a series of advanced lectures/seminars on potential theory/harmonic analysis. Topics covered in the book include minimal thinness, quasiadditivity of capacity, applications of singular integrals to potential theory, L(p)-capacity theory, fine limits of the Nagel-Stein boundary limit theorem and integrability of superharmonic functions. - [Potential Theory](https://online.neatra.in/product/potential-theory/) - [Potential Functions of Random Walks in Z with Infinite Variance: Estimates and Applications](https://online.neatra.in/product/potential-functions-of-random-walks-in-z-with-infinite-variance-estimates-and-applications/): This book studies the potential functions of one-dimensional recurrent random walks on the lattice of integers with step distribution of infinite variance. The central focus is on obtaining reasonably nice estimates of the potential function. - [Posn(R) and Eisenstein Series](https://online.neatra.in/product/posnr-and-eisenstein-series/): Includes supplementary material: sn.pub/extras - [Positive Polynomials, Convex Integral Polytopes, and a Random Walk Problem](https://online.neatra.in/product/positive-polynomials-convex-integral-polytopes-and-a-random-walk-problem/): Emanating from the theory of C*-algebras and actions of tori theoren, the problems discussed here are outgrowths of random walk problems on lattices. An AGL (d,Z)-invariant (which is a partially ordered commutative algebra) is obtained for lattice polytopes (compact convex polytopes in Euclidean space whose vertices lie in Zd), and certain algebraic properties of the algebra are related to geometric properties of the polytope. - [Positive Definite Kernels, Continuous Tensor Products, and Central Limit Theorems of Probability Theory](https://online.neatra.in/product/positive-definite-kernels-continuous-tensor-products-and-central-limit-theorems-of-probability-theory/) - [Poset Codes: Partial Orders, Metrics and Coding Theory](https://online.neatra.in/product/poset-codes-partial-orders-metrics-and-coding-theory/): This book offers an organized and systematic approach to poset metrics and codes. Poset metrics, or metrics on a vector field determined by a partial order over a finite set, were first introduced in the mid-1990s by the mathematicians Richard A. Brualdi, Janine S. Graves and K. Mark Lawrence, and to date the relevant knowledge on this subject was spread over more than two hundred research papers. - [Polynomial Representations of GL_n: with an Appendix on Schensted Correspondence and Littelmann Paths](https://online.neatra.in/product/polynomial-representations-of-gl_n-with-an-appendix-on-schensted-correspondence-and-littelmann-paths/): Includes supplementary material: sn.pub/extras - [Polynomial Mappings](https://online.neatra.in/product/polynomial-mappings/): The book deals with certain algebraic and arithmetical questions concerning polynomial mappings in one or several variables. Algebraic properties of the ring Int(R) of polynomials mapping a given ring R into itself are presented in the first part, starting with classical results of Polya, Ostrowski and Skolem. - [Polynomial Automorphisms and the Jacobian Conjecture](https://online.neatra.in/product/polynomial-automorphisms-and-the-jacobian-conjecture/): This book is an extension to Arno van den Essen's Polynomial Automorphisms and the Jacobian Conjecture published in 2000. - [Polynomes Orthogonaux et Applications: Proceedings of the Laguerre Symposium held at Bar-le-Duc, October 15-18, 1984](https://online.neatra.in/product/polynomes-orthogonaux-et-applications-proceedings-of-the-laguerre-symposium-held-at-bar-le-duc-october-15-18-1984/) - [Polyhedral and Algebraic Methods in Computational Geometry](https://online.neatra.in/product/polyhedral-and-algebraic-methods-in-computational-geometry/): Provides a mathematical introduction to linear and non-linear (i.e. algebraic) computational geometry Applies the theory to computer graphics, curve reconstruction and robotics Establishes interconnections with other disciplines such as algebraic geometry, optimization and numerical mathematics Includes supplementary material: sn.pub/extras - [Polyharmonic Boundary Value Problems: Positivity Preserving and Nonlinear Higher Order Elliptic Equations in Bounded Domains](https://online.neatra.in/product/polyharmonic-boundary-value-problems-positivity-preserving-and-nonlinear-higher-order-elliptic-equations-in-bounded-domains/): This monograph covers higher order linear and nonlinear elliptic boundary value problems in bounded domains, mainly with the biharmonic or poly-harmonic operator as leading principal part. Underlying models and, in particular, the role of different boundary conditions are explained in detail. - [Pointwise Convergence of Fourier Series](https://online.neatra.in/product/pointwise-convergence-of-fourier-series/): Includes supplementary material: sn.pub/extras - [Point Estimation of Root Finding Methods](https://online.neatra.in/product/point-estimation-of-root-finding-methods/): Includes supplementary material: sn.pub/extras - [Pluripotential Theory: Cetraro, Italy 2011, Editors: Filippo Bracci, John Erik Fornæss](https://online.neatra.in/product/pluripotential-theory-cetraro-italy-2011-editors-filippo-bracci-john-erik-fornaess/): Four self-contained advanced courses Written by leading experts in the field materials Presented with new proofs Many open problems presented Includes supplementary material: sn.pub/extras - [Planar Maps, Random Walks and Circle Packing: École d'Été de Probabilités de Saint-Flour XLVIII - 2018](https://online.neatra.in/product/planar-maps-random-walks-and-circle-packing-ecole-dete-de-probabilites-de-saint-flour-xlviii-2018/): Entirely self-contained and aimed to fully accompany a single-semester graduate course Many classical proofs have been simplified and streamlined Contains numerous useful exercises - [Pioneering Works on Distribution Theory: In Honor of Masaaki Sibuya](https://online.neatra.in/product/pioneering-works-on-distribution-theory-in-honor-of-masaaki-sibuya/): This book highlights the forefront of research on statistical distribution theory, with a focus on unconventional random quantities, and on phenomena such as random partitioning. - [PI-Algebras: An Introduction](https://online.neatra.in/product/pi-algebras-an-introduction/) - [Physics and Mathematics of the Nervous System: Proceedings of a Summer School organized by the International Centre for Theoretical Physics, Trieste, and the Institute for Information Sciences, University of Tübingen, held at Trieste, August 21–31, 1973](https://online.neatra.in/product/physics-and-mathematics-of-the-nervous-system-proceedings-of-a-summer-school-organized-by-the-international-centre-for-theoretical-physics-trieste-and-the-institute-for-information-sciences-univer/): This volume is the record and product of the Summer School on the Physics and Mathematics of the Nervous System, held at the International Centre for Theoretical Physics in Trieste from August 21-31, 1973, and jointly organized by the Institute for Information Sciences, University of Tlibingen and by the Centre. The school served to bring biologists, physicists and mathemati­ cians together to exchange ideas about the nervous system and brain, and also to introduce young scientists to the field. - [Phase Transitions and Hysteresis: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, July 13 - 21, 1993](https://online.neatra.in/product/phase-transitions-and-hysteresis-lectures-given-at-the-3rd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-montecatini-terme-italy-july-13-21-1993/): Phase Transitions, represented by generalizations of the classical Stefan problem. This is studied by Kenmochi and Rodrigues by means of variational techniques - [PGL2 over the p-adics. Its Representations, Spherical Functions, and Fourier Analysis](https://online.neatra.in/product/pgl2-over-the-p-adics-its-representations-spherical-functions-and-fourier-analysis/) - [Perturbation Theory for the Schrödinger Operator with a Periodic Potential](https://online.neatra.in/product/perturbation-theory-for-the-schrodinger-operator-with-a-periodic-potential/): The book is devoted to perturbation theory for the Schrödinger operator with a periodic potential, describing motion of a particle in bulk matter. The Bloch eigenvalues of the operator are densely situated in a high energy region, so regular perturbation theory is ineffective. - [Perturbation of Banach Algebras](https://online.neatra.in/product/perturbation-of-banach-algebras/) - [Periods of Hecke Characters](https://online.neatra.in/product/periods-of-hecke-characters/): The starting point of this Lecture Notes volume is Deligne's theorem about absolute Hodge cycles on abelian varieties. Its applications to the theory of motives with complex multiplication are systematically reviewed. - [Periodic Solutions of the N-Body Problem](https://online.neatra.in/product/periodic-solutions-of-the-n-body-problem/): Includes supplementary material: sn.pub/extras - [Periodic Solutions of Nonlinear Dynamical Systems: Numerical Computation, Stability, Bifurcation and Transition to Chaos](https://online.neatra.in/product/periodic-solutions-of-nonlinear-dynamical-systems-numerical-computation-stability-bifurcation-and-transition-to-chaos/): Limit cycles or, more general, periodic solutions of nonlinear dynamical systems occur in many different fields of application. Although, there is extensive literature on periodic solutions, in particular on existence theorems, the connection to physical and technical applications needs to be improved. - [Periodic Monopoles and Difference Modules](https://online.neatra.in/product/periodic-monopoles-and-difference-modules/): Describes a new equivalence between objects in differential and algebraic geometry Provides a foundation for the study of difference modules from both differential and algebraic geometry viewpoints Studies periodic monopoles via a systematic use of dimensional reduction to harmonic bundles - [Period Mappings with Applications to Symplectic Complex Spaces](https://online.neatra.in/product/period-mappings-with-applications-to-symplectic-complex-spaces/): Extending GriffithsÂ’ classical theory of period mappings for compact Kähler manifolds, this book develops and applies a theory of period mappings of “Hodge-de Rham type” for families of open complex manifolds. The text consists of three parts. - [Penalising Brownian Paths](https://online.neatra.in/product/penalising-brownian-paths/): Penalising a process is to modify its distribution with a limiting procedure, thus defining a new process whose properties differ somewhat from those of the original one. We are presenting a number of examples of such penalisations in the Brownian and Bessel processes framework. - [Peeling Random Planar Maps: École d’Été de Probabilités de Saint-Flour XLIX – 2019](https://online.neatra.in/product/peeling-random-planar-maps-ecole-daete-de-probabilites-de-saint-flour-xlix-a-2019/): The first book on probabilistic aspects of planar maps Provides comprehensive coverage of the theory and includes open problems Illustrated with numerous attractive figures - [Path Coupling and Aggregate Path Coupling](https://online.neatra.in/product/path-coupling-and-aggregate-path-coupling/): This book describes and characterizes an extension to the classical path coupling method applied to statistical mechanical models, referred to as aggregate path coupling. - [Partial Inner Product Spaces: Theory and Applications](https://online.neatra.in/product/partial-inner-product-spaces-theory-and-applications/): Includes supplementary material: sn.pub/extras - [Partial Differential Operators: Proceedings of ELAM VIII, held in Rio de Janeiro, July 14-25, 1986](https://online.neatra.in/product/partial-differential-operators-proceedings-of-elam-viii-held-in-rio-de-janeiro-july-14-25-1986/): The Latin American School of Mathematics (ELAM) is one of the most important mathematical events in Latin America. It has been held every other year since 1968 in a different country of the region, and its theme varies according to the areas of interest of local research groups. - [Partial Differential Inequalities with Nonlinear Convolution Terms](https://online.neatra.in/product/partial-differential-inequalities-with-nonlinear-convolution-terms/): This brief research monograph uses modern mathematical methods to investigate partial differential equations with nonlinear convolution terms, enabling readers to understand the concept of a solution and its asymptotic behavior. - [Partial Differential Equations: Proceedings of a Symposium held in Tianjin, June 23 - July 5, 1986](https://online.neatra.in/product/partial-differential-equations-proceedings-of-a-symposium-held-in-tianjin-june-23-july-5-1986/): The volume contains a selection of papers presented at the 7th Symposium on differential geometry and differential equations (DD7) held at the Nankai Institute of Mathematics, Tianjin, China, in 1986. Most of the contributions are original research papers on topics including elliptic equations, hyperbolic equations, evolution equations, non-linear equations from differential geometry and mechanics, micro-local analysis. - [Partial Differential Equations and Related Topics: Ford Foundation Sponsored Program at Tulane University, January to May, 1974](https://online.neatra.in/product/partial-differential-equations-and-related-topics-ford-foundation-sponsored-program-at-tulane-university-january-to-may-1974/) - [Partial Differential Equations and Geometric Measure Theory: Cetraro, Italy 2014](https://online.neatra.in/product/partial-differential-equations-and-geometric-measure-theory-cetraro-italy-2014/): Authored by leading experts who contributed significantly to advances in the field Written in a very pedagogical style, accessible to a wide audience Aims to promote further collaborative research in the area - [Partial Differential Equations and Calculus of Variations](https://online.neatra.in/product/partial-differential-equations-and-calculus-of-variations/): This volume contains 18 invited papers by members and guests of the former Sonderforschungsbereich in Bonn (SFB 72) who, over the years, collaborated on the research group "Solution of PDE's and Calculus of Variations". The emphasis is on existence and regularity results, on special equations of mathematical physics and on scattering theory. - [Paris-Princeton Lectures on Mathematical Finance 2013: Editors: Vicky Henderson, Ronnie Sircar](https://online.neatra.in/product/paris-princeton-lectures-on-mathematical-finance-2013-editors-vicky-henderson-ronnie-sircar/): Presents cutting-edge research in Mathematical Finance Includes supplementary material: sn.pub/extras - [Paris-Princeton Lectures on Mathematical Finance 2010](https://online.neatra.in/product/paris-princeton-lectures-on-mathematical-finance-2010/): Includes supplementary material: sn.pub/extras - [Paris-Princeton Lectures on Mathematical Finance 2004](https://online.neatra.in/product/paris-princeton-lectures-on-mathematical-finance-2004/): Includes supplementary material: sn.pub/extras - [Paris-Princeton Lectures on Mathematical Finance 2003](https://online.neatra.in/product/paris-princeton-lectures-on-mathematical-finance-2003/): Includes supplementary material: sn.pub/extras - [Paris-Princeton Lectures on Mathematical Finance 2002](https://online.neatra.in/product/paris-princeton-lectures-on-mathematical-finance-2002/): The Paris-Princeton Lectures in Financial Mathematics, of which this is the first volume, will, on an annual basis, publish cutting-edge research in self-contained, expository articles from outstanding - established or upcoming! - specialists. The aim is to produce a series of articles that can serve as an introductory reference for research in the field. - [Parameterized Complexity in the Polynomial Hierarchy: Extending Parameterized Complexity Theory to Higher Levels of the Hierarchy](https://online.neatra.in/product/parameterized-complexity-in-the-polynomial-hierarchy-extending-parameterized-complexity-theory-to-higher-levels-of-the-hierarchy/): Parameterized Complexity in the Polynomial Hierarchy was co-recipient of the E.W. Beth Dissertation Prize 2017 for outstanding dissertations in the fields of logic, language, and information. This work extends the theory of parameterized complexity to higher levels of the Polynomial Hierarchy (PH). - [Parameter Estimation in Stochastic Differential Equations](https://online.neatra.in/product/parameter-estimation-in-stochastic-differential-equations/): Includes supplementary material: sn.pub/extras - [Parabolic Equations in Biology](https://online.neatra.in/product/parabolic-equations-in-biology/): This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis, invasion waves etc. - [Painlevé III: A Case Study in the Geometry of Meromorphic Connections](https://online.neatra.in/product/painleve-iii-a-case-study-in-the-geometry-of-meromorphic-connections/): The first monograph on Painlevé equations to treat both classical local aspects and modern global aspects simultaneously Introduces a new method in the study of Painlevé equations, combining local analysis and global topology Gives a new classification of real solutions of the Third Painlevé equation in terms of their zeros and poles - [Painleve Equations in the Differential Geometry of Surfaces](https://online.neatra.in/product/painleve-equations-in-the-differential-geometry-of-surfaces/): Includes supplementary material: sn.pub/extras - [p-adic Numbers: An Introduction](https://online.neatra.in/product/p-adic-numbers-an-introduction/): Written for undergraduate students and beginners More than 300 exercises, most with hints or solutions Teaches the use of open source mathematical software in number theory - [p-adic Banach Space Representations](https://online.neatra.in/product/p-adic-banach-space-representations/): This book systematically develops the theory of continuous representations on p-adic Banach spaces. Its purpose is to lay the foundations of the representation theory of reductive p-adic groups on p-adic Banach spaces, explain the duality theory of Schneider and Teitelbaum, and demonstrate its applications to continuous principal series. - [p-adic Analysis: Proceedings of the International Conference held in Trento, Italy, May 29-June 2, 1989](https://online.neatra.in/product/p-adic-analysis-proceedings-of-the-international-conference-held-in-trento-italy-may-29-june-2-1989/) - [Pade Approximations and its Applications: Proceedings of a Conference held at Bad Honnef, Germany, March 7-10, 1983](https://online.neatra.in/product/pade-approximations-and-its-applications-proceedings-of-a-conference-held-at-bad-honnef-germany-march-7-10-1983/) - [Pade Approximation and its Applications: Proceedings of a Conference held in Antwerp, Belgium, 1979](https://online.neatra.in/product/pade-approximation-and-its-applications-proceedings-of-a-conference-held-in-antwerp-belgium-1979/) - [Pade Approximation and its Applications, Amsterdam 1980: Proceedings of a Conference Held in Amsterdam, The Netherlands, October 29-31, 1980](https://online.neatra.in/product/pade-approximation-and-its-applications-amsterdam-1980-proceedings-of-a-conference-held-in-amsterdam-the-netherlands-october-29-31-1980/) - [Pade Approximants for Operators: Theory and Applications](https://online.neatra.in/product/pade-approximants-for-operators-theory-and-applications/) - [Osserman Manifolds in Semi-Riemannian Geometry](https://online.neatra.in/product/osserman-manifolds-in-semi-riemannian-geometry/): Includes supplementary material: sn.pub/extras - [Oscillatory Integrals and Phenomena Beyond all Algebraic Orders: with Applications to Homoclinic Orbits in Reversible Systems](https://online.neatra.in/product/oscillatory-integrals-and-phenomena-beyond-all-algebraic-orders-with-applications-to-homoclinic-orbits-in-reversible-systems/): During the last two decades, in several branches of science (water waves, crystal growth, travelling waves in one dimensional lattices, splitting of separatrices,...) different problems appeared in which the key point is the computation of exponentially small terms. This self-contained monograph gives new and rigorous mathematical tools which enable a systematic study of such problems. - [Oscillation Theory](https://online.neatra.in/product/oscillation-theory/) - [Orthomorphism Graphs of Groups](https://online.neatra.in/product/orthomorphism-graphs-of-groups/): This book is about orthomorphisms and complete mappings of groups, and related constructions of orthogonal latin squares. It brings together, for the first time in book form, many of the results in this area. - [Orthogonal Polynomials and their Applications: Proceedings of an International Symposium held in Segovia, Spain, Sept. 22-27, 1986](https://online.neatra.in/product/orthogonal-polynomials-and-their-applications-proceedings-of-an-international-symposium-held-in-segovia-spain-sept-22-27-1986/): The Segovia meeting set out to stimulate an intensive exchange of ideas between experts in the area of orthogonal polynomials and its applications, to present recent research results and to reinforce the scientific and human relations among the increasingly international community working in orthogonal polynomials. - [Orthogonal Polynomials and Special Functions: Leuven 2002](https://online.neatra.in/product/orthogonal-polynomials-and-special-functions-leuven-2002/): Includes supplementary material: sn.pub/extras - [Orthogonal Polynomials and Special Functions: Computation and Applications](https://online.neatra.in/product/orthogonal-polynomials-and-special-functions-computation-and-applications/): Includes supplementary material: sn.pub/extras - [Orlicz Spaces and Modular Spaces](https://online.neatra.in/product/orlicz-spaces-and-modular-spaces/) - [Random Integral Equations with Applications to Stochastic Systems](https://online.neatra.in/product/random-integral-equations-with-applications-to-stochastic-systems/) - [Random Fields](https://online.neatra.in/product/random-fields/) - [Ramified Surfaces](https://online.neatra.in/product/ramified-surfaces/): The book offers an extensive study on the convoluted history of the research of algebraic surfaces, focusing for the first time on one of its characterizing curves: the branch curve. - [Ramanujan Summation of Divergent Series](https://online.neatra.in/product/ramanujan-summation-of-divergent-series/): The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. - [Radical Banach Algebras and Automatic Continuity: Proceedings of a Conference Held at California State University Long Beach, July 17-31, 1981](https://online.neatra.in/product/radical-banach-algebras-and-automatic-continuity-proceedings-of-a-conference-held-at-california-state-university-long-beach-july-17-31-1981/) - [Quilts: Central Extensions, Braid Actions, and Finite Groups](https://online.neatra.in/product/quilts-central-extensions-braid-actions-and-finite-groups/): Quilts are 2-complexes used to analyze actions and subgroups of the 3-string braid group and similar groups. This monograph establishes the fundamentals of quilts and discusses connections with central extensions, braid actions, and finite groups. - [Queues and Lévy Fluctuation Theory](https://online.neatra.in/product/queues-and-levy-fluctuation-theory/): The book provides an extensive introduction to queueing models driven by Lévy-processes as well as a systematic account of the literature on Lévy-driven queues. - [Quaternionic de Branges Spaces and Characteristic Operator Function](https://online.neatra.in/product/quaternionic-de-branges-spaces-and-characteristic-operator-function/): This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. - [Quaternionic Approximation](https://online.neatra.in/product/quaternionic-approximation/): This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. - [Quasi-Periodic Motions in Families of Dynamical Systems: Order amidst Chaos](https://online.neatra.in/product/quasi-periodic-motions-in-families-of-dynamical-systems-order-amidst-chaos/): This book is devoted to the phenomenon of quasi-periodic motion in dynamical systems. Such a motion in the phase space densely fills up an invariant torus. This phenomenon is most familiar from Hamiltonian dynamics. - [Quasi-linear Theory for Surface Wave-Current Interactions](https://online.neatra.in/product/quasi-linear-theory-for-surface-wave-current-interactions/): This book introduces a mathematical theory for the interaction of oceanic surface gravity waves and oceanic currents. This theory is formulated using the quasi-linear approximation for a uniform density fluid with a free surface and it provides wave-averaged expressions for the wave amplitudes and for the dynamical evolution of the currents. - [Quasi-Frobenius Rings and Generalizations: QF-3 and QF-1 Rings](https://online.neatra.in/product/quasi-frobenius-rings-and-generalizations-qf-3-and-qf-1-rings/) - [Quasiconformal Space Mappings: A collection of surveys 1960 - 1990](https://online.neatra.in/product/quasiconformal-space-mappings-a-collection-of-surveys-1960-1990/): This volume is a collection of surveys on function theory in euclidean n-dimensional spaces centered around the theme of quasiconformal space mappings. - [Quasiconformal Mappings in the Plane: Parametrical Methods](https://online.neatra.in/product/quasiconformal-mappings-in-the-plane-parametrical-methods/) - [Quantum Transport: Modelling, Analysis and Asymptotics - Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 11–16, 2006](https://online.neatra.in/product/quantum-transport-modelling-analysis-and-asymptotics-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-september-11a-16-2006/): Includes supplementary material: sn.pub/extras - [Quantum Symmetries: Metabief, France 2014](https://online.neatra.in/product/quantum-symmetries-metabief-france-2014/): Providing an introduction to current research topics in functional analysis and its applications to quantum physics, this book presents three lectures surveying recent progress and open problems. A special focus is given to the role of symmetry in non-commutative probability, in the theory of quantum groups, and in quantum physics. - [Quantum Stochastic Calculus and Representations of Lie Superalgebras](https://online.neatra.in/product/quantum-stochastic-calculus-and-representations-of-lie-superalgebras/): This book describes the representations of Lie superalgebras that are yielded by a graded version of Hudson-Parthasarathy quantum stochastic calculus. Quantum stochastic calculus and grading theory are given concise introductions, extending readership to mathematicians and physicists with a basic knowledge of algebra and infinite-dimensional Hilbert spaces. - [Quantum States of Light](https://online.neatra.in/product/quantum-states-of-light/): Uses a wave picture for the visualization of all quantum states of light including a single photon Shows that a particle such as a single photon can create a light wave Explains nonclassical states of light such as a SchrödingerÂ’s cat state Includes supplementary material: sn.pub/extras - [Quantum Robotics](https://online.neatra.in/product/quantum-robotics/): Quantum robotics is an emerging engineering and scientific research discipline that explores the application of quantum mechanics, quantum computing, quantum algorithms, and related fields to robotics. - [Quantum Quadratic Operators and Processes](https://online.neatra.in/product/quantum-quadratic-operators-and-processes/): Covering both classical and quantum approaches, this unique and self-contained book presents the most recent developments in the theory of quadratic stochastic operators and their Markov and related processes. The asymptotic behavior of dynamical systems generated by classical and quantum quadratic operators is investigated and various properties of quantum quadratic operators are studied, providing an insight into the construction of quantum channels. - [Quantum Probability for Probabilists](https://online.neatra.in/product/quantum-probability-for-probabilists/): In recent years, the classical theory of stochastic integration and stochastic differential equations has been extended to a non-commutative set-up to develop models for quantum noises. The author, a specialist of classical stochastic calculus and martingale theory, tries to provide an introduction to this rapidly expanding field in a way which should be accessible to probabilists familiar with the Ito integral. - [Quantum Probability and Applications IV: Proceedings of the Year of Quantum Probability, held at the University of Rome II, Italy, 1987](https://online.neatra.in/product/quantum-probability-and-applications-iv-proceedings-of-the-year-of-quantum-probability-held-at-the-university-of-rome-ii-italy-1987/): This volume, the fourth of the quantum probability series, collects part of the contributions to the Year of Quantum Probability organized by the Volterra Center of University of Rome II. The intensive communication among researchers during this Year allowed several open problems to be solved and several inexpected connections to be revealed. - [Quantum Probability and Applications III: Proceedings of a Conference held in Oberwolfach, FRG, January 25-31, 1987](https://online.neatra.in/product/quantum-probability-and-applications-iii-proceedings-of-a-conference-held-in-oberwolfach-frg-january-25-31-1987/): These proceedings of the first Quantum Probability meeting held in Oberwolfach is the fourth in a series begun with the 1982 meeting of Mondragone and continued in Heidelberg ('84) and in Leuven ('85). - [Quantum Potential Theory](https://online.neatra.in/product/quantum-potential-theory/): Includes supplementary material: sn.pub/extras - [Quantum Physics and Geometry](https://online.neatra.in/product/quantum-physics-and-geometry/): Offers a timely report on the interdisciplinary links between quantum physics and mathematics Stresses the interplay between quantum information and geometry Provides a reference for researchers applying mathematical concepts to physics and technology - [Quantum Many Body Systems: Cetraro, Italy 2010, Editors: Alessandro Giuliani, Vieri Mastropietro, Jakob Yngvason](https://online.neatra.in/product/quantum-many-body-systems-cetraro-italy-2010-editors-alessandro-giuliani-vieri-mastropietro-jakob-yngvason/): Tutorial presentation of advanced topics introduces the reader to some of the most exciting topics of modern mathematical physics Examples and physical applications guide the reader towards a deep comprehension of sophisticated mathematical tools Serves as a guide through recent literature on the mathematics of interacting fermionic and bosonic systems Includes supplementary material: sn.pub/extras - [Quantum Lie Theory: A Multilinear Approach](https://online.neatra.in/product/quantum-lie-theory-a-multilinear-approach/): This is an introduction to the mathematics behind the phrase “quantum Lie algebra”. The numerous attempts over the last 15-20 years to define a quantum Lie algebra as an elegant algebraic object with a binary “quantum” Lie bracket have not been widely accepted. - [Quantum Independent Increment Processes II: Structure of Quantum Lévy Processes, Classical Probability, and Physics](https://online.neatra.in/product/quantum-independent-increment-processes-ii-structure-of-quantum-levy-processes-classical-probability-and-physics/): Includes supplementary material: sn.pub/extras - [Quantum Independent Increment Processes I: From Classical Probability to Quantum Stochastic Calculus](https://online.neatra.in/product/quantum-independent-increment-processes-i-from-classical-probability-to-quantum-stochastic-calculus/): This volume is the first of two volumes containing the revised and completed notes lectures given at the school "Quantum Independent Increment Processes: Structure and Applications to Physics". This school was held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald during the period March 9 – 22, 2003, and supported by the Volkswagen Foundation. - [Quantum Groups: Proceedings of Workshops held in the Euler International Mathematical Institute, Leningrad, Fall 1990](https://online.neatra.in/product/quantum-groups-proceedings-of-workshops-held-in-the-euler-international-mathematical-institute-leningrad-fall-1990/): The theory of Quantum Groups is a rapidly developing area with numerous applications in mathematics and theoretical physics, e.g. in link and knot invariants in topology, q-special functions, conformal field theory, quantum integrable models. The aim of the Euler Institute's workshops was to review and compile the progress achieved in the different subfields. - [Quantum Groups, Quantum Categories and Quantum Field Theory](https://online.neatra.in/product/quantum-groups-quantum-categories-and-quantum-field-theory/): This book reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results. - [Quantum Computation with Topological Codes](https://online.neatra.in/product/quantum-computation-with-topological-codes/): This book presents a self-consistent review of quantum computation with topological quantum codes. The book covers everything required to understand topological fault-tolerant quantum computation, ranging from the definition of the surface code to topological quantum error correction and topological fault-tolerant operations. - [Quantum Cohomology: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 30 - July 8, 1997](https://online.neatra.in/product/quantum-cohomology-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-june-30-july-8-1997/): Includes supplementary material: sn.pub/extras - [Quantum Codes for Topological Quantum Computation](https://online.neatra.in/product/quantum-codes-for-topological-quantum-computation/): This book offers a structured algebraic and geometric approach to the classification and construction of quantum codes for topological quantum computation. It combines key concepts in linear algebra, algebraic topology, hyperbolic geometry, group theory, quantum mechanics, and classical and quantum coding theory to help readers understand and develop quantum codes for topological quantum computation. - [Quantization and Non-holomorphic Modular Forms](https://online.neatra.in/product/quantization-and-non-holomorphic-modular-forms/): This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. - [Quandles and Topological Pairs](https://online.neatra.in/product/quandles-and-topological-pairs/): This book surveys quandle theory, starting from basic motivations and going on to introduce recent developments of quandles with topological applications and related topics. The book is written from topological aspects, but it illustrates how esteemed quandle theory is in mathematics, and it constitutes a crash course for studying quandles. - [Quality Control with R](https://online.neatra.in/product/quality-control-with-r/): Presenting a practitioner's guide to capabilities and best practices of quality control systems using the R programming language, this volume emphasizes accessibility and ease-of-use through detailed explanations of R code as well as standard statistical methodologies. - [Quadrature Domains](https://online.neatra.in/product/quadrature-domains/) - [Quadratic Residues and Non-Residues](https://online.neatra.in/product/quadratic-residues-and-non-residues/): This book offers an account of the classical theory of quadratic residues and non-residues with the goal of using that theory as a lens through which to view the development of some of the fundamental methods employed in modern elementary, algebraic, and analytic number theory. - [Quadratic Number Fields](https://online.neatra.in/product/quadratic-number-fields/): Connects quadratic fields with modern algebraic number theory Applies the theory to solve Diophantine equations Contains hundreds of exercises with solutions Includes original historical commentary - [Quadratic Forms Over Semilocal Rings](https://online.neatra.in/product/quadratic-forms-over-semilocal-rings/) - [q-Fractional Calculus and Equations](https://online.neatra.in/product/q-fractional-calculus-and-equations/): First detailed rigorous study of q-calculi First detailed rigorous study of q-difference equations First detailed rigorous study of q-fractional calculi and equations Proofs of many classical unproved results are given Illustrative examples and figures helps readers to digest the new approaches Includes supplementary material: sn.pub/extras Includes supplementary material: sn.pub/extras - [Pure Metric Geometry](https://online.neatra.in/product/pure-metric-geometry/): This book serves as an introductory asset for learning metric geometry by delivering an in-depth examination of key constructions and providing an analysis of universal spaces, injective spaces, the Gromov-Hausdorff convergence, and ultralimits. This book illustrates basic examples of domestic affairs of metric spaces, this includes Alexandrov geometry, geometric group theory, metric-measure spaces and optimal transport. - [Punctured Torus Groups and 2-Bridge Knot Groups (I)](https://online.neatra.in/product/punctured-torus-groups-and-2-bridge-knot-groups-i/): Includes supplementary material: sn.pub/extras - [Pseudo-periodic Maps and Degeneration of Riemann Surfaces](https://online.neatra.in/product/pseudo-periodic-maps-and-degeneration-of-riemann-surfaces/): The publication of the manuscript which has been circulated among specialists for 20 years The first complete study of pseudo-periodic maps after J. Nielsen's original work The first application of the pseudo-periodic maps to the topology of degeneration of Riemann surfaces This book is self-contained and is readable by advanced students (master level) Includes supplementary material: sn.pub/extras - [Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents](https://online.neatra.in/product/pseudo-monotone-operator-theory-for-unsteady-problems-with-variable-exponents/): This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(.,.)-Navier–Stokes equations describing the motion of an incompressible electro-rheological fluid. - [Pseudo-Differential Operators: Quantization and Signals](https://online.neatra.in/product/pseudo-differential-operators-quantization-and-signals/): Includes supplementary material: sn.pub/extras - [Pseudo-Differential Operators: Proceedings of a Conference, held in Oberwolfach, February 2-8, 1986](https://online.neatra.in/product/pseudo-differential-operators-proceedings-of-a-conference-held-in-oberwolfach-february-2-8-1986/) - [Pseudodifferential Equations Over Non-Archimedean Spaces](https://online.neatra.in/product/pseudodifferential-equations-over-non-archimedean-spaces/): Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. - [Pseudo-Boolean Programming and Applications: Presented at the Colloquium on Mathematics and Cybernetics in the Economy, Berlin, October 1964](https://online.neatra.in/product/pseudo-boolean-programming-and-applications-presented-at-the-colloquium-on-mathematics-and-cybernetics-in-the-economy-berlin-october-1964/) - [Pseudo-Boolean Methods for Bivalent Programming: Lecture at the First European Meeting of the Institute of Management Sciences and of the Econometric Institute, Warsaw, September 2-7, 1966](https://online.neatra.in/product/pseudo-boolean-methods-for-bivalent-programming-lecture-at-the-first-european-meeting-of-the-institute-of-management-sciences-and-of-the-econometric-institute-warsaw-september-2-7-1966/) - [Pseudo Differential Operators](https://online.neatra.in/product/pseudo-differential-operators/) - [Proximal Flows](https://online.neatra.in/product/proximal-flows/) - [Prospects in Complex Geometry: Proceedings of the 25th Taniguchi International Symposium held in Katata, and the Conference held in Kyoto, July 31 - August 9, 1989](https://online.neatra.in/product/prospects-in-complex-geometry-proceedings-of-the-25th-taniguchi-international-symposium-held-in-katata-and-the-conference-held-in-kyoto-july-31-august-9-1989/): In the Teichmüller theory of Riemann surfaces, besides the classical theory of quasi-conformal mappings, vari- ous approaches from differential geometry and algebraic geometry have merged in recent years. Thus the central subject of "Complex Structure" was a timely choice for the joint meetings in Katata and Kyoto in 1989. - [Proportional Representation: Apportionment Methods and Their Applications](https://online.neatra.in/product/proportional-representation-apportionment-methods-and-their-applications/): The book offers an in-depth study of the translation of vote counts into seat numbers in proportional representation systems – an approach guided by practical needs. It also provides plenty of empirical instances illustrating the results. - [Properties of Infinite Dimensional Hamiltonian Systems](https://online.neatra.in/product/properties-of-infinite-dimensional-hamiltonian-systems/) - [Properties of Closed 3-Braids and Braid Representations of Links](https://online.neatra.in/product/properties-of-closed-3-braids-and-braid-representations-of-links/): Includes supplementary material: sn.pub/extras - [Properly Colored Connectivity of Graphs](https://online.neatra.in/product/properly-colored-connectivity-of-graphs/): A comprehensive survey of proper connection of graphs is discussed in this book with real world applications in computer science and network security. Beginning with a brief introduction, comprising relevant definitions and preliminary results, this book moves on to consider a variety of properties of graphs that imply bounds on the proper connection number. - [Propagation of Singularities for Fuchsian Operators](https://online.neatra.in/product/propagation-of-singularities-for-fuchsian-operators/) - [Proof Theory: An Introduction](https://online.neatra.in/product/proof-theory-an-introduction/): Although this is an introductory text on proof theory, most of its contents is not found in a unified form elsewhere in the literature, except at a very advanced level. The heart of the book is the ordinal analysis of axiom systems, with particular emphasis on that of the impredicative theory of elementary inductive definitions on the natural numbers. - [Proof Theory and Intuitionistic Systems](https://online.neatra.in/product/proof-theory-and-intuitionistic-systems/) - [Proof Patterns](https://online.neatra.in/product/proof-patterns/): This innovative textbook introduces a new pattern-based approach to learning proof methods in the mathematical sciences. Readers will discover techniques that will enable them to learn new proofs across different areas of pure mathematics with ease. - [Projective Varieties and Modular Forms: Course Given at the University of Maryland, Spring 1970](https://online.neatra.in/product/projective-varieties-and-modular-forms-course-given-at-the-university-of-maryland-spring-1970/) - [Projective Modules and Complete Intersections](https://online.neatra.in/product/projective-modules-and-complete-intersections/) - [Projective Geometry](https://online.neatra.in/product/projective-geometry/): This book starts with a concise but rigorous overview of the basic notions of projective geometry, using straightforward and modern language. The goal is not only to establish the notation and terminology used, but also to offer the reader a quick survey of the subject matter. - [Progress in Mathematical Fluid Dynamics: Cetraro, Italy 2019](https://online.neatra.in/product/progress-in-mathematical-fluid-dynamics-cetraro-italy-2019/): Provides a concise and focused overview of selected topics in mathematical fluid mechanics Presents four lectures by leading experts in the field Covers classical material as well as modeling and connections with numerical analysis - [Profinite Semigroups and Symbolic Dynamics](https://online.neatra.in/product/profinite-semigroups-and-symbolic-dynamics/): The first book to describe the relation between profinite semigroups and symbolic dynamics Provides new insights into both fields of profinite semigroups and symbolic dynamics Defines all concepts in detail and provides numerous exercises - [Processus Aleatoires a Deux Indices: Colloque E.N.S.T. - C.N.E.T., Paris 1980](https://online.neatra.in/product/processus-aleatoires-a-deux-indices-colloque-e-n-s-t-c-n-e-t-paris-1980/) - [Proceedings on Infinite Dimensional Holomorphy](https://online.neatra.in/product/proceedings-on-infinite-dimensional-holomorphy/) - [Proceedings of the Third Japan-USSR Symposium on Probability Theory](https://online.neatra.in/product/proceedings-of-the-third-japan-ussr-symposium-on-probability-theory/) - [Proceedings of the Symposium on Differential Equations and Dynamical Systems: University of Warwick, September 1968 - August 1969, Summer School, July 15 - 25, 1969](https://online.neatra.in/product/proceedings-of-the-symposium-on-differential-equations-and-dynamical-systems-university-of-warwick-september-1968-august-1969-summer-school-july-15-25-1969/) - [Proceedings of the Summer School in Logik, Leeds, 1967: N.A.T.O. Advanced Study Institute Meeting of the Association for Symbolic Logic](https://online.neatra.in/product/proceedings-of-the-summer-school-in-logik-leeds-1967-n-a-t-o-advanced-study-institute-meeting-of-the-association-for-symbolic-logic/) - [Proceedings of the Second Japan-USSR Symposium on Probability Theory](https://online.neatra.in/product/proceedings-of-the-second-japan-ussr-symposium-on-probability-theory/) - [Proceedings of the Second International Conference on the Theory of Groups: Australian National University, August 13-24, 1973](https://online.neatra.in/product/proceedings-of-the-second-international-conference-on-the-theory-of-groups-australian-national-university-august-13-24-1973/) - [Proceedings of the Second Conference on Compact Transformation Groups. University of Massachusetts, Amherst, 1971: Part 1](https://online.neatra.in/product/proceedings-of-the-second-conference-on-compact-transformation-groups-university-of-massachusetts-amherst-1971-part-1/) - [Proceedings of the Second Conference on Compact Tranformation Groups. University of Massachusetts, Amherst, 1971: Part 2](https://online.neatra.in/product/proceedings-of-the-second-conference-on-compact-tranformation-groups-university-of-massachusetts-amherst-1971-part-2/) - [Proceedings of the Logic Colloquium. Held in Aachen, July 18-23, 1983: Part 2: Computation and Proof Theory](https://online.neatra.in/product/proceedings-of-the-logic-colloquium-held-in-aachen-july-18-23-1983-part-2-computation-and-proof-theory/) - [Proceedings of the Logic Colloquium. Held in Aachen, July 18-23, 1983: Part 1: Models and Sets](https://online.neatra.in/product/proceedings-of-the-logic-colloquium-held-in-aachen-july-18-23-1983-part-1-models-and-sets/) - [Proceedings of the Conference on the Numerical Solution of Ordinary Differential Equations: 19, 20 October 1972, The University of Texas at Austin](https://online.neatra.in/product/proceedings-of-the-conference-on-the-numerical-solution-of-ordinary-differential-equations-19-20-october-1972-the-university-of-texas-at-austin/) - [Proceedings of the Conference on Orders, Group Rings and Related Topics](https://online.neatra.in/product/proceedings-of-the-conference-on-orders-group-rings-and-related-topics/) - [Proceedings of the 15th Scandinavian Congress Oslo 1968](https://online.neatra.in/product/proceedings-of-the-15th-scandinavian-congress-oslo-1968/) - [Proceedings of Liverpool Singularities - Symposium II. (University of Liverpool 1969/70)](https://online.neatra.in/product/proceedings-of-liverpool-singularities-symposium-ii-university-of-liverpool-1969-70/) - [Proceedings of Liverpool Singularities - Symposium I. (University of Liverpool 1969/70)](https://online.neatra.in/product/proceedings-of-liverpool-singularities-symposium-i-university-of-liverpool-1969-70/) - [Proceedings of a Conference on Operator Theory: Dalhousie University, Halifax, Nova Scotia, April 13th and 14th, 1973](https://online.neatra.in/product/proceedings-of-a-conference-on-operator-theory-dalhousie-university-halifax-nova-scotia-april-13th-and-14th-1973/) - [Problems in Nonlinear Diffusion: Lectures given at the 2nd 1985 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, June 10 - June 18, 1985](https://online.neatra.in/product/problems-in-nonlinear-diffusion-lectures-given-at-the-2nd-1985-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-at-montecatini-terme-italy-june-10-june-18-1985/) - [Problem Posing and Solving for Mathematically Gifted and Interested Students: Best Practices, Research and Enrichment](https://online.neatra.in/product/problem-posing-and-solving-for-mathematically-gifted-and-interested-students-best-practices-research-and-enrichment/): Mathematics and mathematics education research have an ongoing interest in improving our understanding of mathematical problem posing and solving. This book focuses on problem posing in a context of mathematical giftedness. - [Probability Winter School: Proceedings of the Fourth Winter School on Probability held at Karpacz, Poland, January 1975](https://online.neatra.in/product/probability-winter-school-proceedings-of-the-fourth-winter-school-on-probability-held-at-karpacz-poland-january-1975/) - [Probability Theory on Vector Spaces: Proceedings, Trzebieszowice, Poland, September 1977](https://online.neatra.in/product/probability-theory-on-vector-spaces-proceedings-trzebieszowice-poland-september-1977/) - [Probability Theory on Vector Spaces IV: Proceedings of a Conference, held in Lancut, Poland, June 10-17, 1987](https://online.neatra.in/product/probability-theory-on-vector-spaces-iv-proceedings-of-a-conference-held-in-lancut-poland-june-10-17-1987/) - [Probability Theory on Vector Spaces III: Proceedings of a Conference held in Lublin, Poland, August 24-31, 1983](https://online.neatra.in/product/probability-theory-on-vector-spaces-iii-proceedings-of-a-conference-held-in-lublin-poland-august-24-31-1983/) - [Probability Theory on Vector Spaces II: Proceedings, Blazejewko, Poland, September 17-23, 1979](https://online.neatra.in/product/probability-theory-on-vector-spaces-ii-proceedings-blazejewko-poland-september-17-23-1979/) - [Probability Theory of Classical Euclidean Optimization Problems](https://online.neatra.in/product/probability-theory-of-classical-euclidean-optimization-problems/): This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using two-sided additivity and isoperimetry, it formulates general methods describing the total edge length of random graphs in Euclidean space. - [Probability Theory and Stochastic Processes](https://online.neatra.in/product/probability-theory-and-stochastic-processes/): Mathematically rigorous but written in a convivial style Treats the general theory as well as special models of proven interest in applications Self-contained with exercises and a helpful appendix on analysis - [Probability Theory and Mathematical Statistics: Proceedings of the Fourth USSR-Japan Symposium, held at Tbilisi, USSR, August 23-29, 1982](https://online.neatra.in/product/probability-theory-and-mathematical-statistics-proceedings-of-the-fourth-ussr-japan-symposium-held-at-tbilisi-ussr-august-23-29-1982/) - [Probability Theory and Mathematical Statistics: Proceedings of the Fifth Japan-USSR Symposium, held in Kyoto, Japan, July 8-14, 1986](https://online.neatra.in/product/probability-theory-and-mathematical-statistics-proceedings-of-the-fifth-japan-ussr-symposium-held-in-kyoto-japan-july-8-14-1986/): These proceedings of the fifth joint meeting of Japanese and Soviet probabilists are a sequel to Lecture Notes in Mathematics Vols. 33O, 550 and 1O21. They comprise 61 original research papers on topics including limit theorems, stochastic analysis, control theory, statistics, probabilistic methods in number theory and mathematical physics. - [Probability Theory](https://online.neatra.in/product/probability-theory/): This popular textbook, now in a revised and expanded third edition, presents a comprehensive course in modern probability theory.Probability plays an increasingly important role not only in mathematics, but also in physics, biology, finance and computer science, helping to understand phenomena such as magnetism, genetic diversity and market volatility, and also to construct efficient algorithms. - [Probability Models](https://online.neatra.in/product/probability-models/): Very suitable for self-study Provides many worked examples and exercises Suitable for beginners| no prior knowledge of probability is needed Includes supplementary material: sn.pub/extras - [Probability Measures on Groups: Proceedings of the Sixth Conference Held at Oberwolfach, Germany, June 28-July 4, 1981](https://online.neatra.in/product/probability-measures-on-groups-proceedings-of-the-sixth-conference-held-at-oberwolfach-germany-june-28-july-4-1981/) - [Probability Measures on Groups: Proceedings of the Fifth Conference Oberwolfach, Germany, January 29th - February 4, 1978](https://online.neatra.in/product/probability-measures-on-groups-proceedings-of-the-fifth-conference-oberwolfach-germany-january-29th-february-4-1978/) - [Probability Measures on Groups VIII: Proceedings of a Conference held in Oberwolfach, November 10-16, 1985](https://online.neatra.in/product/probability-measures-on-groups-viii-proceedings-of-a-conference-held-in-oberwolfach-november-10-16-1985/) - [Risk Theory](https://online.neatra.in/product/risk-theory/): Provides a self-contained introduction to important methods in non-life insurance Covers the Ammeter risk model and the Markov-modulated risk model in detail Discusses aspects of solvency and links to Solvency II - [Rings with Morita Duality](https://online.neatra.in/product/rings-with-morita-duality/): Associative rings that possess Morita dualities or self- dualities form the object of this book. They are assumed to have an identity and modules are assumed unitary. - [Rings and Semigroups](https://online.neatra.in/product/rings-and-semigroups/) - [Rings and Modules of Quotients](https://online.neatra.in/product/rings-and-modules-of-quotients/) - [Ring Theory: Proceedings of an International Conference, Held in Antwerp, April 1-5, 1985](https://online.neatra.in/product/ring-theory-proceedings-of-an-international-conference-held-in-antwerp-april-1-5-1985/) - [Ring Theory: Proceedings of a Conference held in Granada, Spain, September 1-6, 1986](https://online.neatra.in/product/ring-theory-proceedings-of-a-conference-held-in-granada-spain-september-1-6-1986/): The papers in this proceedings volume are selected research papers in different areas of ring theory, including graded rings, differential operator rings, K-theory of noetherian rings, torsion theory, regular rings, cohomology of algebras, local cohomology of noncommutative rings. - [Ring Theory, Waterloo 1978: Proceedings, University of Waterloo, Canada, 12-16 June, 1978](https://online.neatra.in/product/ring-theory-waterloo-1978-proceedings-university-of-waterloo-canada-12-16-june-1978/) - [Ring Theory, Antwerp 1980: Proceedings, University of Antwerp, U.I.A., Antwerp, Belgium, May 6-9, 1980](https://online.neatra.in/product/ring-theory-antwerp-1980-proceedings-university-of-antwerp-u-i-a-antwerp-belgium-may-6-9-1980/) - [Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers](https://online.neatra.in/product/riesz-transforms-hodge-dirac-operators-and-functional-calculus-for-multipliers/): This book on recent research in noncommutative harmonic analysis treats the Lp boundedness of Riesz transforms associated with Markovian semigroups of either Fourier multipliers on non-abelian groups or Schur multipliers. The detailed study of these objects is then continued with a proof of the boundedness of the holomorphic functional calculus for Hodge–Dirac operators, thereby answering a question of Junge, Mei and Parcet, and presenting a new functional analytic approach which makes it possible to further explore the connection with noncommutative geometry. - [Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures](https://online.neatra.in/product/riemannian-metrics-of-constant-mass-and-moduli-spaces-of-conformal-structures/): This monograph deals with recent questions of conformal geometry. It provides in detail an approach to studying moduli spaces of conformal structures, using a new canonical metric for conformal structures. - [Riemannian Geometry and Geometric Analysis](https://online.neatra.in/product/riemannian-geometry-and-geometric-analysis/): Continues to lead its readers to some of the hottest topics of contemporary research Each chapter now includes additional basic exercises to test the readerÂ’s understanding Features new material on Ricci curvature - [Riemann Surfaces, Theta Functions, and Abelian Automorphisms Groups](https://online.neatra.in/product/riemann-surfaces-theta-functions-and-abelian-automorphisms-groups/) - [Ricci Flow and Geometric Applications: Cetraro, Italy 2010](https://online.neatra.in/product/ricci-flow-and-geometric-applications-cetraro-italy-2010/): Presenting some impressive recent achievements in differential geometry and topology, this volume focuses on results obtained using techniques based on Ricci flow. These ideas are at the core of the study of differentiable manifolds. - [Reversible Systems](https://online.neatra.in/product/reversible-systems/) - [Retaining Women in Tech: Shifting the Paradigm](https://online.neatra.in/product/retaining-women-in-tech-shifting-the-paradigm/): For over 40 years, the tech industry has been working to attract more women. Yet, women continue to be underrepresented in technology jobs compared to other professions. Worse, once hired, women leave the field mid-career twice as often as men. - [Resolution of Surface Singularities: Three Lectures](https://online.neatra.in/product/resolution-of-surface-singularities-three-lectures/) - [Residues and Duality: Lecture Notes of a Seminar on the Work of A. Grothendieck, Given at Harvard 1963 /64](https://online.neatra.in/product/residues-and-duality-lecture-notes-of-a-seminar-on-the-work-of-a-grothendieck-given-at-harvard-1963-64/) - [Representations of SU(2,1) in Fourier Term Modules](https://online.neatra.in/product/representations-of-su21-in-fourier-term-modules/): Describes the structure of Fourier term modules Gives complete Fourier-Jacobi expansions for SU(2,1) Provides computations in the Mathematica notebook - [Representations of Real Numbers by Infinite Series](https://online.neatra.in/product/representations-of-real-numbers-by-infinite-series/) - [Representations of Permutation Groups II](https://online.neatra.in/product/representations-of-permutation-groups-ii/) - [Representations of Permutation Groups I: Representations of Wreath Products and Applications to the Representation Theory of Symmetric and Alternating Groups](https://online.neatra.in/product/representations-of-permutation-groups-i-representations-of-wreath-products-and-applications-to-the-representation-theory-of-symmetric-and-alternating-groups/) - [Representations of Fundamental Groups of Algebraic Varieties](https://online.neatra.in/product/representations-of-fundamental-groups-of-algebraic-varieties/): Includes supplementary material: sn.pub/extras - [Representations of Finite Classical Groups: A Hopf Algebra Approach](https://online.neatra.in/product/representations-of-finite-classical-groups-a-hopf-algebra-approach/) - [Representations of Finite Chevalley Groups: A Survey](https://online.neatra.in/product/representations-of-finite-chevalley-groups-a-survey/) - [Representations of Commutative Semitopological Semigroups](https://online.neatra.in/product/representations-of-commutative-semitopological-semigroups/) - [Representations of Algebras: Workshop Notes of the Third International Conference on Representations of Algebras, Held in Puebla, Mexico, August 4-8, 1980](https://online.neatra.in/product/representations-of-algebras-workshop-notes-of-the-third-international-conference-on-representations-of-algebras-held-in-puebla-mexico-august-4-8-1980/) - [Representations of Algebras: Proceedings of the Third International Conference on Representations of Algebras, Held in Puebla, Mexico, August 4-8, 1980](https://online.neatra.in/product/representations-of-algebras-proceedings-of-the-third-international-conference-on-representations-of-algebras-held-in-puebla-mexico-august-4-8-1980/) - [Representations of Algebras: Proceedings of the International Conference, Ottawa 1974](https://online.neatra.in/product/representations-of-algebras-proceedings-of-the-international-conference-ottawa-1974/) - [Representations of Affine Hecke Algebras](https://online.neatra.in/product/representations-of-affine-hecke-algebras/): Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. - [Representations of AF-Algebras and of the Group U. (infinite)](https://online.neatra.in/product/representations-of-af-algebras-and-of-the-group-u-infinite/) - [Representation Theory of Finite Monoids](https://online.neatra.in/product/representation-theory-of-finite-monoids/): An entire part of the text is devoted to applications to Markov chains, combinatorics, and automata theory Accessible to a wide readership of graduate students and researchers, including non-experts in semigroups Contains exercises, chapter notes, and thoroughly worked examples - [Representation Theory of Finite Groups: a Guidebook](https://online.neatra.in/product/representation-theory-of-finite-groups-a-guidebook/): Provides an overview of the whole subject of representation theory of finite groups A unique survey of current research aimed at beginning researchers Only basic knowledge is assumed with most topics covered in a self-contained fashion - [Representation Theory II: Proceedings of the Second International Conference on Representations of Algebras, Ottawa, Carleton University, August 13-25, 1979](https://online.neatra.in/product/representation-theory-ii-proceedings-of-the-second-international-conference-on-representations-of-algebras-ottawa-carleton-university-august-13-25-1979/) - [Representation Theory II. Proceedings of the Fourth International Conference on Representations of Algebras, held in Ottawa, Canada, August 16-25, 1984: Groups and Orders](https://online.neatra.in/product/representation-theory-ii-proceedings-of-the-fourth-international-conference-on-representations-of-algebras-held-in-ottawa-canada-august-16-25-1984-groups-and-orders/) - [Representation Theory I: Proceedings of the Workshop on the Present Trends in Representation Theory, Ottawa, Carleton University, August 13-18, 1979](https://online.neatra.in/product/representation-theory-i-proceedings-of-the-workshop-on-the-present-trends-in-representation-theory-ottawa-carleton-university-august-13-18-1979/) - [Representation Theory I. Proceedings of the Fourth International Conference on Representations of Algebras, held in Ottawa, Canada, August 16-25, 1984: Finite Dimensional Algebras](https://online.neatra.in/product/representation-theory-i-proceedings-of-the-fourth-international-conference-on-representations-of-algebras-held-in-ottawa-canada-august-16-25-1984-finite-dimensional-algebras/) - [Representation Theory and Complex Analysis: Lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 10-17, 2004](https://online.neatra.in/product/representation-theory-and-complex-analysis-lectures-given-at-the-c-i-m-e-summer-school-held-in-venice-italy-june-10-17-2004/): Includes supplementary material: sn.pub/extras - [Reports of the Midwest Category Seminar V](https://online.neatra.in/product/reports-of-the-midwest-category-seminar-v/) - [Reports of the Midwest Category Seminar IV](https://online.neatra.in/product/reports-of-the-midwest-category-seminar-iv/) - [Reports of the Midwest Category Seminar III](https://online.neatra.in/product/reports-of-the-midwest-category-seminar-iii/) - [Reports of the Midwest Category Seminar II](https://online.neatra.in/product/reports-of-the-midwest-category-seminar-ii/) - [Reports of the Midwest Category Seminar I](https://online.neatra.in/product/reports-of-the-midwest-category-seminar-i/) - [Repartition Modulo 1: Actes du Colloque Marseille-Luminy, 4-7 Juin, 1974](https://online.neatra.in/product/repartition-modulo-1-actes-du-colloque-marseille-luminy-4-7-juin-1974/) - [Relative Nonhomogeneous Koszul Duality](https://online.neatra.in/product/relative-nonhomogeneous-koszul-duality/): Provides an in-depth discussion of Koszul duality in the relative context over a base ring Presents generalization of the Poincare-Birkhoff-Witt theorem to the relative context Adds a whole new "relative" dimension to the Koszul duality studies existing in the literature - [Relative Aspects in Representation Theory, Langlands Functoriality and Automorphic Forms: CIRM Jean-Morlet Chair, Spring 2016](https://online.neatra.in/product/relative-aspects-in-representation-theory-langlands-functoriality-and-automorphic-forms-cirm-jean-morlet-chair-spring-2016/): Based on a workshop and a conference at CIRM in Luminy in 2016 attended by both graduate students and very senior practitioners of the subject. Features several excellent review articles which can be read by students entering research in many areas of number theory. Includes several high level research articles. Begins with an article on the geometric Satake isomorphism, a key theorem in the geometric Langlands program. - [Relational Topology](https://online.neatra.in/product/relational-topology/): Introduces and develops an algebraic treatment of Boolean matrices Applies the methods to give an algebraic treatment of point set topology Offers a framework for handling topological problems using theorem provers Includes nearly 100 diagrams of relations presented as matrices - [Regularly Varying Functions](https://online.neatra.in/product/regularly-varying-functions/) - [Regularity Theory for Quasilinear Elliptic Systems and Monge - Ampere Equations in Two Dimensions](https://online.neatra.in/product/regularity-theory-for-quasilinear-elliptic-systems-and-monge-ampere-equations-in-two-dimensions/): These lecture notes have been written as an introduction to the characteristic theory for two-dimensional Monge-Ampère equations, a theory largely developed by H. Lewy and E. Heinz which has never been presented in book form. An exposition of the Heinz-Lewy theory requires auxiliary material which can be found in various monographs, but which is presented here, in part because the focus is different, and also because these notes have an introductory character. - [Regularity Problem for Quasilinear Elliptic and Parabolic Systems](https://online.neatra.in/product/regularity-problem-for-quasilinear-elliptic-and-parabolic-systems/): The smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This book deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. - [Regularity of the One-phase Free Boundaries](https://online.neatra.in/product/regularity-of-the-one-phase-free-boundaries/): This open access book is an introduction to the regularity theory for free boundary problems. The focus is on the one-phase Bernoulli problem, which is of particular interest as it deeply influenced the development of the modern free boundary regularity theory and is still an object of intensive research. - [Regularity Estimates for Nonlinear Elliptic and Parabolic Problems: Cetraro, Italy 2009](https://online.neatra.in/product/regularity-estimates-for-nonlinear-elliptic-and-parabolic-problems-cetraro-italy-2009/): The notes trace a timely overview of the main issues in the regularity theory for degenerate and singular elliptic and parabolic PDEs The deep connections among seemingly unrelated topics are shown The main results are thoroughly discussed and proper counterexamples are presented Includes supplementary material: sn.pub/extras - [Regularity and Irregularity of Superprocesses with (1 + ß)-stable Branching Mechanism](https://online.neatra.in/product/regularity-and-irregularity-of-superprocesses-with-1-s-stable-branching-mechanism/): This is the only book discussing multifractal properties of densities of stable superprocesses, containing latest achievements while also giving the reader a comprehensive picture of the state of the art in this area. It is a self-contained presentation of regularity properties of stable superprocesses and proofs of main results and can serve as an introductory text for a graduate course. - [Regularity and Approximability of Electronic Wave Functions](https://online.neatra.in/product/regularity-and-approximability-of-electronic-wave-functions/): The style is excellent and pedagogical The author is first class analyst Accessible to a mathematical audience at the beginning graduate level as well as to physicists and theoretical chemists with a comparable mathematical background The contents requires no deeper knowledge of the theory of partial differential equations, of functional analysis, or quantum theory - [Regular Variation and Differential Equations](https://online.neatra.in/product/regular-variation-and-differential-equations/): Includes supplementary material: sn.pub/extras - [Regular Boundary Value Problems Associated with Pairs of Ordinary Differential Expressions](https://online.neatra.in/product/regular-boundary-value-problems-associated-with-pairs-of-ordinary-differential-expressions/) - [Regression: Linear Models in Statistics](https://online.neatra.in/product/regression-linear-models-in-statistics/): A self-contained, mathematical introduction to the development and theory of linear models aimed primarily at undergraduate students of mathematics. The clear and concise exposition is supported by a wealth of worked examples and exercises - with full solutions - making it ideal for self-study. A number of special topics, such as non-parametric regression and mixed models, time series, spatial processes and design of experiments are introduced providing avenues for further exploration. Includes supplementary material: sn.pub/extras - [Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups](https://online.neatra.in/product/refinement-monoids-equidecomposability-types-and-boolean-inverse-semigroups/): Offers a new, universal algebraic and lattice-theoretical approach Provides tools for further work, for example on varieties of algebras, but also on operator theory Includes many examples and counterexamples Includes supplementary material: sn.pub/extras - [Reduced Basis Methods for Partial Differential Equations](https://online.neatra.in/product/reduced-basis-methods-for-partial-differential-equations/): This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization. - [Recursion Theory Week: Proceedings of a Conference held in Oberwolfach, West Germany, April 15-21, 1984](https://online.neatra.in/product/recursion-theory-week-proceedings-of-a-conference-held-in-oberwolfach-west-germany-april-15-21-1984/) - [Recursion Theory Week: Proceedings of a Conference held in Oberwolfach, FRG, March 19-25, 1989](https://online.neatra.in/product/recursion-theory-week-proceedings-of-a-conference-held-in-oberwolfach-frg-march-19-25-1989/): These proceedings contain research and survey papers from many subfields of recursion theory, with emphasis on degree theory, in particular the development of frameworks for current techniques in this field. Other topics covered include computational complexity theory, generalized recursion theory, proof theoretic questions in recursion theory, and recursive mathematics. - [Recursion on the Countable Functionals](https://online.neatra.in/product/recursion-on-the-countable-functionals/) - [Reconstruction of Small Inhomogeneities from Boundary Measurements](https://online.neatra.in/product/reconstruction-of-small-inhomogeneities-from-boundary-measurements/): Includes supplementary material: sn.pub/extras - [Recent Trends in Graph Theory: Proceedings of the First New York City Graph Theory Conference, Held on June 11 - 13, 1970](https://online.neatra.in/product/recent-trends-in-graph-theory-proceedings-of-the-first-new-york-city-graph-theory-conference-held-on-june-11-13-1970/) - [Recent Progress on the Donaldson–Thomas Theory: Wall-Crossing and Refined Invariants](https://online.neatra.in/product/recent-progress-on-the-donaldsona-thomas-theory-wall-crossing-and-refined-invariants/): Provides an introduction of DT theory for both mathematicians and physicists Emphasizes both the foundation and computations in the study of DT theory Contains a mathematical theory of Gopakumar–Vafa invariants, a new subject not available in other survey works - [Recent Mathematical Methods in Nonlinear Wave Propagation: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), held in Montecatini Terme, Italy, May 23-31, 1994](https://online.neatra.in/product/recent-mathematical-methods-in-nonlinear-wave-propagation-lectures-given-at-the-1st-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-montecatini-terme-italy-may-23-31-199/): These lecture notes of the courses presented at the first CIME session 1994 by leading scientists present the state of the art in recent mathematical methods in Nonlinear Wave Propagation. - [Recent Developments in the Algebraic, Analytical, and Topological Theory of Semigroups: Proceedings of a Conference held at Oberwolfach, Germany, May 24-30, 1981](https://online.neatra.in/product/recent-developments-in-the-algebraic-analytical-and-topological-theory-of-semigroups-proceedings-of-a-conference-held-at-oberwolfach-germany-may-24-30-1981/) - [Recent Developments in Commutative Algebra](https://online.neatra.in/product/recent-developments-in-commutative-algebra/): This book presents four lectures on Rees rings and blow-ups, Koszul modules with applications to syzygies, Gröbner bases and degenerations, and applications of Adams operations. - [Recent Advances in Topological Dynamics: Proceedings of the Conference on Topological Dynamics, Held at Yale University 1972, in Honor of Gustav Arnold Hedlund on the Occasion of his Retirement](https://online.neatra.in/product/recent-advances-in-topological-dynamics-proceedings-of-the-conference-on-topological-dynamics-held-at-yale-university-1972-in-honor-of-gustav-arnold-hedlund-on-the-occasion-of-his-retirement/) - [Reassessing Riemann's Paper](https://online.neatra.in/product/reassessing-riemanns-paper/): In this book, the author pays tribute to Bernhard Riemann (1826-1866), a mathematician with revolutionary ideas, whose work on the theory of integration, the Fourier transform, the hypergeometric differential equation, etc. contributed immensely to mathematical physics. The text concentrates in particular on RiemannÂ’s only work on prime numbers, including ideas – new at the time – such as analytical continuation into the complex plane and the product formula for entire functions. - [Rearrangements and Convexity of Level Sets in PDE](https://online.neatra.in/product/rearrangements-and-convexity-of-level-sets-in-pde/) - [Real-Variable Theory of Musielak-Orlicz Hardy Spaces](https://online.neatra.in/product/real-variable-theory-of-musielak-orlicz-hardy-spaces/): Detailed and complete real-variable theory of Musielak-Orlicz Hardy type function spaces Detailed and self-contained arguments for the main results Presents some applications to endpoint or sharp problems of analysis Detailed references and more known related results of each chapter Includes supplementary material: sn.pub/extras - [Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko](https://online.neatra.in/product/real-variable-theory-of-hardy-spaces-associated-with-generalized-herz-spaces-of-rafeiro-and-samko/): The real-variable theory of function spaces has always been at the core of harmonic analysis. In particular, the real-variable theory of the Hardy space is a fundamental tool of harmonic analysis, with applications and connections to complex analysis, partial differential equations, and functional analysis. - [Realizations of Polylogarithms](https://online.neatra.in/product/realizations-of-polylogarithms/): Classically, higher logarithms appear as multivalued functions on the projective line. Today they can be interpreted as entries of the period matrix of a certain variation of Hodge structure, itself called the "polylogarithm". - [Realization Spaces of Polytopes](https://online.neatra.in/product/realization-spaces-of-polytopes/): The book collects results about realization spaces of polytopes. It gives a presentation of the author's "Universality Theorem for 4-polytopes". - [Real Spinorial Groups: A Short Mathematical Introduction](https://online.neatra.in/product/real-spinorial-groups-a-short-mathematical-introduction/): This book explores the Lipschitz spinorial groups (versor, pinor, spinor and rotor groups) of a real non-degenerate orthogonal geometry (or orthogonal geometry, for short) and how they relate to the group of isometries of that geometry. After a concise mathematical introduction, it offers an axiomatic presentation of the geometric algebra of an orthogonal geometry. - [Real Methods in Complex and CR Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, June 30 - July 6, 2002](https://online.neatra.in/product/real-methods-in-complex-and-cr-geometry-lectures-given-at-the-c-i-m-e-summer-school-held-in-martina-franca-italy-june-30-july-6-2002/): Includes supplementary material: sn.pub/extras - [Real Homotopy of Configuration Spaces](https://online.neatra.in/product/real-homotopy-of-configuration-spaces/): This volume provides a unified and accessible account of recent developments regarding the real homotopy type of configuration spaces of manifolds. Configuration spaces consist of collections of pairwise distinct points in a given manifold, the study of which is a classical topic in algebraic topology. - [Real Functions - Current Topics](https://online.neatra.in/product/real-functions-current-topics/): Most books devoted to the theory of the integral have ignored the nonabsolute integrals, despite the fact that the journal literature relating to these has become richer and richer. The aim of this monograph is to fill this gap, to perform a study on the large number of classes of real functions which have been introduced in this context, and to illustrate them with many examples. - [Real Functions](https://online.neatra.in/product/real-functions/) - [Real Enriques Surfaces](https://online.neatra.in/product/real-enriques-surfaces/): This is the first attempt of a systematic study of real Enriques surfaces culminating in their classification up to deformation. Simple explicit topological invariants are elaborated for identifying the deformation classes of real Enriques surfaces. - [Real and Etale Cohomology](https://online.neatra.in/product/real-and-etale-cohomology/): This book makes a systematic study of the relations between the étale cohomology of a scheme and the orderings of its residue fields. A major result is that in high degrees, étale cohomology is cohomology of the real spectrum. - [Real Analytic and Algebraic Geometry: Proceedings of the Conference held in Trento, Italy, October 3-7, 1988](https://online.neatra.in/product/real-analytic-and-algebraic-geometry-proceedings-of-the-conference-held-in-trento-italy-october-3-7-1988/) - [Real Analysis: Foundations](https://online.neatra.in/product/real-analysis-foundations/): This textbook explores the foundations of real analysis using the framework of general ordered fields, demonstrating the multifaceted nature of the area. Focusing on the logical structure of real analysis, the definitions and interrelations between core concepts are illustrated with the use of numerous examples and counterexamples. - [Real Algebraic Surfaces](https://online.neatra.in/product/real-algebraic-surfaces/) - [Real Algebraic Geometry: Proceedings of the Conference held in Rennes, France, June 24-28, 1991](https://online.neatra.in/product/real-algebraic-geometry-proceedings-of-the-conference-held-in-rennes-france-june-24-28-1991/) - [Real Algebra](https://online.neatra.in/product/real-algebra/): This book provides an introduction to fundamental methods and techniques of algebra over ordered fields. It is a revised and updated translation of the classic textbook Einführung in die reelle Algebra. - [Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015](https://online.neatra.in/product/rationality-problems-in-algebraic-geometry-levico-terme-italy-2015/): A collaboration with CIRM, Trento Provides an up-to-date survey of results on rationality of algebraic varieties Gives a comprehensive introduction to the subject, accessible to non-specialists Each chapter includes a large bibliography - [Rational Representations of Algebraic Groups: Tensor Products and Filtrations](https://online.neatra.in/product/rational-representations-of-algebraic-groups-tensor-products-and-filtrations/) - [Rational Points and Arithmetic of Fundamental Groups: Evidence for the Section Conjecture](https://online.neatra.in/product/rational-points-and-arithmetic-of-fundamental-groups-evidence-for-the-section-conjecture/): The first exposition of foundational material on the arithmetic of fundamental groups with respect to the Section Conjecture of anabelian Geometry: from the history of the subject to the state of the art of the conjecture. Numerous approaches to the Section Conjecture are discussed with open questions to stimulate future research. Assuming the basics, the more advanced chapters are self contained and can be read independently Includes supplementary material: sn.pub/extras - [Rational Homotopy Type: A Constructive Study via the Theory of the I*-measure](https://online.neatra.in/product/rational-homotopy-type-a-constructive-study-via-the-theory-of-the-i-measure/): This comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view. It centers on the notion of calculability which is due to the author himself, as are the measure-theoretical and constructive points of view in rational homotopy. - [Rational Approximation and its Applications in Mathematics and Physics: Proceedings, Lancut 1985](https://online.neatra.in/product/rational-approximation-and-its-applications-in-mathematics-and-physics-proceedings-lancut-1985/) - [Rational Approximation and Interpolation: Proceedings of the United Kingdom - United States Conference, held at Tampa, Florida, December 12-16, 1983](https://online.neatra.in/product/rational-approximation-and-interpolation-proceedings-of-the-united-kingdom-united-states-conference-held-at-tampa-florida-december-12-16-1983/) - [Random Walks, Random Fields, and Disordered Systems](https://online.neatra.in/product/random-walks-random-fields-and-disordered-systems/): Focusing on the mathematics that lies at the intersection of probability theory, statistical physics, combinatorics and computer science, this volume collects together lecture notes on recent developments in the area. The common ground of these subjects is perhaps best described by the three terms in the title: Random Walks, Random Fields and Disordered Systems. - [Random Walks on Disordered Media and their Scaling Limits: École d'Été de Probabilités de Saint-Flour XL - 2010](https://online.neatra.in/product/random-walks-on-disordered-media-and-their-scaling-limits-ecole-dete-de-probabilites-de-saint-flour-xl-2010/): Starts from basics on discrete potential theory Contains many interesting examples of disordered media with anomalous heat conduction Anomalous behavior of random walk at criticality on random media Contains recent developments on random conductance models Includes supplementary material: sn.pub/extras - [Random Times and Enlargements of Filtrations in a Brownian Setting](https://online.neatra.in/product/random-times-and-enlargements-of-filtrations-in-a-brownian-setting/): Includes supplementary material: sn.pub/extras - [Random Processes](https://online.neatra.in/product/random-processes/): This text has as its object an introduction to elements of the theory of random processes. - [Random Polymers: École d’Été de Probabilités de Saint-Flour XXXVII – 2007](https://online.neatra.in/product/random-polymers-ecole-daete-de-probabilites-de-saint-flour-xxxvii-a-2007/): Includes supplementary material: sn.pub/extras - [Random Perturbation of PDEs and Fluid Dynamic Models: École d’Été de Probabilités de Saint-Flour XL – 2010](https://online.neatra.in/product/random-perturbation-of-pdes-and-fluid-dynamic-models-ecole-daete-de-probabilites-de-saint-flour-xl-a-2010/): Sometimes SPDEs perform better than PDEs: the book aims to understand when and why Non traditional research directions in SPDE theory are presented The interaction between noise and uniqueness or singularities is investigated Stochastic fluid dynamic models are treated by special techniques Includes supplementary material: sn.pub/extras - [Random Obstacle Problems: École d'Été de Probabilités de Saint-Flour XLV - 2015](https://online.neatra.in/product/random-obstacle-problems-ecole-dete-de-probabilites-de-saint-flour-xlv-2015/): Provides a self-contained presentation in a clear and pedagogical style Includes a special chapter on Bessel processes with detailed discussions of results scattered across the literature Offers an original point of view on a booming subject (SPDEs) - [Random Matrix Theory with an External Source](https://online.neatra.in/product/random-matrix-theory-with-an-external-source/): This is a first book to show that the theory of the Gaussian random matrix is essential to understand the universal correlations with random fluctuations and to demonstrate that it is useful to evaluate topological universal quantities. We consider Gaussian random matrix models in the presence of a deterministic matrix source. - [Séminaire Pierre Lelong (Analyse). Année 1970 - 1971: Institut Henri Poincaré, Paris/France](https://online.neatra.in/product/seminaire-pierre-lelong-analyse-annee-1970-1971-institut-henri-poincare-paris-france/) - [Séminaire Pierre Lelong (Analyse) Année 1973/74](https://online.neatra.in/product/seminaire-pierre-lelong-analyse-annee-1973-74/) - [Séminaire Pierre Lelong - Henri Skoda (Analyse): Années 1978-79](https://online.neatra.in/product/seminaire-pierre-lelong-henri-skoda-analyse-annees-1978-79/) - [Séminaire Pierre Lelong - Henri Skoda (Analyse) Années 1980/81.: et Colloque de Wimereux, Mai 1981, "Les fonctions Plurisousharmoniques en Dimension Finie ou Infinie", organisé en l'honneur de Pierre Lelong](https://online.neatra.in/product/seminaire-pierre-lelong-henri-skoda-analyse-annees-1980-81-et-colloque-de-wimereux-mai-1981-les-fonctions-plurisousharmoniques-en-dimension-finie-ou-infinie-organise-en-lhonneur-de-pierre/) - [Seminaire Heidelberg-Saarbrücken-Strasbourg sur la K-Theorie](https://online.neatra.in/product/seminaire-heidelberg-saarbrucken-strasbourg-sur-la-k-theorie/) - [Séminaire de Théorie du Potentiel, Paris, 1978-1979, No. 5](https://online.neatra.in/product/seminaire-de-theorie-du-potentiel-paris-1978-1979-no-5/) - [Séminaire de Théorie du Potentiel, Paris, 1976-1977, No. 3](https://online.neatra.in/product/seminaire-de-theorie-du-potentiel-paris-1976-1977-no-3/) - [Séminaire de Théorie du Potentiel Paris, No. 9](https://online.neatra.in/product/seminaire-de-theorie-du-potentiel-paris-no-9/) - [Séminaire de Probabilités XXXVIII](https://online.neatra.in/product/seminaire-de-probabilites-xxxviii/): Includes supplementary material: sn.pub/extras - [Séminaire de Probabilités XXXVII](https://online.neatra.in/product/seminaire-de-probabilites-xxxvii/): The 37th Séminaire de Probabilités contains A. Lejay's advanced course which is a pedagogical introduction to works by T. Lyons and others on stochastic integrals and SDEs driven by deterministic rough paths. - [Séminaire de Probabilités XXXVI](https://online.neatra.in/product/seminaire-de-probabilites-xxxvi/): Includes supplementary material: sn.pub/extras - [Seminaire de Probabilites XXXV](https://online.neatra.in/product/seminaire-de-probabilites-xxxv/): Includes supplementary material: sn.pub/extras - [Seminaire de Probabilites XXXIV](https://online.neatra.in/product/seminaire-de-probabilites-xxxiv/): Besides articles, this volume contains a 145-page graduate course on branching and interacting particle systems, with applications to non-linear filtering - [Seminaire de Probabilites XXXIII](https://online.neatra.in/product/seminaire-de-probabilites-xxxiii/): Includes supplementary material: sn.pub/extras - [Séminaire de Probabilités XXXII](https://online.neatra.in/product/seminaire-de-probabilites-xxxii/): All the papers in the volume are original research papers, discussing fundamental properties of stochastic processes. The topics under study (martingales, filtrations, path properties, etc.) represent an important part of the current research performed in 1996-97 by various groups of probabilists in France and abroad. - [Seminaire de Probabilites XXXI](https://online.neatra.in/product/seminaire-de-probabilites-xxxi/): The 31 papers collected here present original research results obtained in 1995-96, on Brownian motion and, more generally, diffusion processes, martingales, Wiener spaces, polymer measures. - [Seminaire de Probabilites XXX](https://online.neatra.in/product/seminaire-de-probabilites-xxx/): The volume consists entirely of research papers, principally in stochastic calculus, martingales, and Brownian motion, and gathers an important part of the works done in the main probability groups in France (Paris, Strasbourg, Toulouse, Besançon, Grenoble,...) together with closely related works done by some probabilists elsewhere (Switzerland, India, Austria,...). - [Seminaire de Probabilites XXVIII](https://online.neatra.in/product/seminaire-de-probabilites-xxviii/): In this volume of original research papers, the main topics discussed relate to the asymptotic windings of planar Brownian motion, structure equations, closure properties of stochastic integrals. The contents of the volume represent an important fraction of research undertaken by French probabilists and their collaborators from abroad during the academic year 1992-1993. - [Seminaire de Probabilites XXVII](https://online.neatra.in/product/seminaire-de-probabilites-xxvii/): This volume represents a part of the main result obtained by a group of French probabilists, together with the contributions of a number of colleagues, mainly from the USA and Japan. All the papers present new results obtained during the academic year 1991-1992. - [Seminaire de Probabilites XXVI](https://online.neatra.in/product/seminaire-de-probabilites-xxvi/) - [Seminaire de Probabilites XXV](https://online.neatra.in/product/seminaire-de-probabilites-xxv/) - [Seminaire de Probabilites XXIX](https://online.neatra.in/product/seminaire-de-probabilites-xxix/): All the papers included in this volume are original research papers. They represent an important part of the work of French probabilists and colleagues with whom they are in close contact throughout the world. - [Seminaire de Probabilites XXIV 1988/89](https://online.neatra.in/product/seminaire-de-probabilites-xxiv-1988-89/): The different papers contained in this volume are all research papers. The main directions of research which are being developed are: quantum probability, semimartingales and stochastic calculus. - [Seminaire de Probabilites XXIII](https://online.neatra.in/product/seminaire-de-probabilites-xxiii/): Besides a number of papers on classical areas of research in probability such as martingale theory, Malliavin calculus and 2-parameter processes, this new volume of the Séminaire de Probabilités develops the following themes: - chaos representation for some new kinds of martingales, - quantum probability, - branching aspects on Brownian excursions, - Brownian motion on a set of rays. - [Seminaire de Probabilites XXII](https://online.neatra.in/product/seminaire-de-probabilites-xxii/) - [Séminaire de Probabilités XX 1984/85: Proceedings](https://online.neatra.in/product/seminaire-de-probabilites-xx-1984-85-proceedings/) - [Séminaire de Probabilités XVIII 1982/83: Proceedings](https://online.neatra.in/product/seminaire-de-probabilites-xviii-1982-83-proceedings/) - [Séminaire de Probabilités XVII 1981/82: Proceedings](https://online.neatra.in/product/seminaire-de-probabilites-xvii-1981-82-proceedings/) - [Séminaire de Probabilités XV. 1979/80: Avec table generale des exposes de 1966/67 a 1978/79](https://online.neatra.in/product/seminaire-de-probabilites-xv-1979-80-avec-table-generale-des-exposes-de-1966-67-a-1978-79/) - [Séminaire de Probabilités XLVIII](https://online.neatra.in/product/seminaire-de-probabilites-xlviii/): Provides a broad insight into current, high level research in probability theory Continues the exploration of the subject of peacocks from previous volumes Includes new material on harmonic measures, random fields and loop soups - [Séminaire de Probabilités XLVI](https://online.neatra.in/product/seminaire-de-probabilites-xlvi/): This volume provides a broad insight on current, high level researches in probability theory - [Séminaire de Probabilités XLV](https://online.neatra.in/product/seminaire-de-probabilites-xlv/): This volume provides a broad insights on current, high level researches in probability theory Includes supplementary material: sn.pub/extras - [Séminaire de Probabilités XLIX](https://online.neatra.in/product/seminaire-de-probabilites-xlix/): This 49th volume offers a good sample of the main streams of current research on probability and stochastic processes, in particular those active in France. This includes articles on latest developments on diffusion processes, large deviations, martingale theory, quasi-stationary distribution, random matrices, and many more. - [Séminaire de Probabilités XLIV](https://online.neatra.in/product/seminaire-de-probabilites-xliv/): This volume provides a broad insights on current, high level researches in probability theory Includes supplementary material: sn.pub/extras - [Séminaire de Probabilités XLIII](https://online.neatra.in/product/seminaire-de-probabilites-xliii/): Original research articles Original survey/lecture on a new topic Wide range of topics Includes supplementary material: sn.pub/extras - [Séminaire de Probabilités XLII](https://online.neatra.in/product/seminaire-de-probabilites-xlii/): Includes supplementary material: sn.pub/extras - [Séminaire de Probabilités XLI](https://online.neatra.in/product/seminaire-de-probabilites-xli/): Stochastic processes are as usual the main subject of the Séminaire, with contributions on Brownian motion (fractional or other), Lévy processes, martingales and probabilistic finance. Other probabilistic themes are also present: large random matrices, statistical mechanics. - [Séminaire de Probabilités XL](https://online.neatra.in/product/seminaire-de-probabilites-xl/): Includes supplementary material: sn.pub/extras - [Seminaire de Probabilites XIX 1983/84: Proceedings](https://online.neatra.in/product/seminaire-de-probabilites-xix-1983-84-proceedings/) - [Seminaire de Probabilites XIV: 1978/79](https://online.neatra.in/product/seminaire-de-probabilites-xiv-1978-79/) - [Séminaire de Probabilités XIII: Université de Strasbourg 1977/78](https://online.neatra.in/product/seminaire-de-probabilites-xiii-universite-de-strasbourg-1977-78/) - [Séminaire de Probabilités XII: Université de Strasbourg 1976/77](https://online.neatra.in/product/seminaire-de-probabilites-xii-universite-de-strasbourg-1976-77/) - [Seminaire de Probabilites XI: Universite de Strasbourg](https://online.neatra.in/product/seminaire-de-probabilites-xi-universite-de-strasbourg/) - [Séminaire de Probabilités X: Université de Strasbourg](https://online.neatra.in/product/seminaire-de-probabilites-x-universite-de-strasbourg/) - [Séminaire de Probabilités VIII: Université de Strasbourg](https://online.neatra.in/product/seminaire-de-probabilites-viii-universite-de-strasbourg/) - [Séminaire de Probabilités LI](https://online.neatra.in/product/seminaire-de-probabilites-li/): State-of-the-art research in probability Contains some recent trends in the theory of probability Presents a good sample of the mainstream of current research on probability and stochastic processes - [Séminaire de Probabilités L](https://online.neatra.in/product/seminaire-de-probabilites-l/): Features contributions on state-of-the-art research in probability Covers mainstream domains Includes accessible presentations of classical results - [Séminaire de Probabilités IX: Université de Strasbourg](https://online.neatra.in/product/seminaire-de-probabilites-ix-universite-de-strasbourg/) - [Séminaire d'Analyse P. Lelong - P. Dolbeault - H. Skoda: Années 1983/1984](https://online.neatra.in/product/seminaire-danalyse-p-lelong-p-dolbeault-h-skoda-annees-1983-1984/) - [Séminaire d'Analyse P. Lelong - P. Dolbeault - H. Skoda: Années 1981/1983](https://online.neatra.in/product/seminaire-danalyse-p-lelong-p-dolbeault-h-skoda-annees-1981-1983/) - [Séminaire d'Algèbre Paul Dubreil: Proceedings. Paris 1977-78 (31ème Année)](https://online.neatra.in/product/seminaire-dalgebre-paul-dubreil-proceedings-paris-1977-78-31eme-annee/) - [Séminaire d'Algèbre Paul Dubreil: Proceedings. Paris 1976-1977 (30ème Année).](https://online.neatra.in/product/seminaire-dalgebre-paul-dubreil-proceedings-paris-1976-1977-30eme-annee/) - [Séminaire d'Algèbre Paul Dubreil: Paris 1975-1976 29ème Année](https://online.neatra.in/product/seminaire-dalgebre-paul-dubreil-paris-1975-1976-29eme-annee/) - [Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin: Proceedings. Paris 1981 (34éme Année)](https://online.neatra.in/product/seminaire-dalgebre-paul-dubreil-et-marie-paule-malliavin-proceedings-paris-1981-34eme-annee/) - [Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin: Proceedings. Paris 1980 (33ème Année)](https://online.neatra.in/product/seminaire-dalgebre-paul-dubreil-et-marie-paule-malliavin-proceedings-paris-1980-33eme-annee/) - [Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin: Proceedings Paris 1987-1988 (39ème Année)](https://online.neatra.in/product/seminaire-dalgebre-paul-dubreil-et-marie-paule-malliavin-proceedings-paris-1987-1988-39eme-annee/) - [Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin: Proceedings Paris 1983-1984 (36ème Année)](https://online.neatra.in/product/seminaire-dalgebre-paul-dubreil-et-marie-paule-malliavin-proceedings-paris-1983-1984-36eme-annee/) - [Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin: Proceedings Paris 1982 (35ème Année)](https://online.neatra.in/product/seminaire-dalgebre-paul-dubreil-et-marie-paule-malliavin-proceedings-paris-1982-35eme-annee/) - [Séminaire d'Algèbre Paul Dubreil et Marie-Paul Malliavin: Proceedings Paris 1985 (37ème Année)](https://online.neatra.in/product/seminaire-dalgebre-paul-dubreil-et-marie-paul-malliavin-proceedings-paris-1985-37eme-annee/) - [Séminaire Bourbaki: Vol. 1980/81. Exposés 561-578 Avec table par noms d'auteurs de 1967/68 a 1980/81](https://online.neatra.in/product/seminaire-bourbaki-vol-1980-81-exposes-561-578-avec-table-par-noms-dauteurs-de-1967-68-a-1980-81/) - [Séminaire Bourbaki: Vol. 1979/80. Exposés 543-560 Avec table par noms d'auteurs de 1967/68 a 1979/80](https://online.neatra.in/product/seminaire-bourbaki-vol-1979-80-exposes-543-560-avec-table-par-noms-dauteurs-de-1967-68-a-1979-80/) - [Séminaire Bourbaki: Vol. 1978/79. Exposés 525 - 542 Avec table par noms d'auteurs de 1967/68 a 1978/79](https://online.neatra.in/product/seminaire-bourbaki-vol-1978-79-exposes-525-542-avec-table-par-noms-dauteurs-de-1967-68-a-1978-79/) - [Séminaire Bourbaki: Vol. 1976/77. Exposés 489-506](https://online.neatra.in/product/seminaire-bourbaki-vol-1976-77-exposes-489-506/): on an extremely abstract and formal but self-contained basis Nicolas Bourbaki is a pseudonym under which a group of French 20th-century mathematicians wrote a series of books with the aim of reformulating mathematics - [Séminaire Bourbaki: Vol. 1975/76: Exposés 471-488](https://online.neatra.in/product/seminaire-bourbaki-vol-1975-76-exposes-471-488/) - [Séminaire Bourbaki: Vol. 1974/75: Exposés 453-470](https://online.neatra.in/product/seminaire-bourbaki-vol-1974-75-exposes-453-470/) - [Séminaire Bourbaki: Vol. 1972 /73: Exposés 418-435](https://online.neatra.in/product/seminaire-bourbaki-vol-1972-73-exposes-418-435/) - [Séminaire Bourbaki: Vol. 1971 /72. Exposés 400 - 417](https://online.neatra.in/product/seminaire-bourbaki-vol-1971-72-exposes-400-417/): Nicolas Bourbaki is a pseudonym under which a group of French 20th century mathematicians wrote a series of books with the aim of reformulating mathematics on an extremely abstract and formal but self-contained - [Séminaire Bourbaki: Vol. 1970/71: Exposés 382 - 399](https://online.neatra.in/product/seminaire-bourbaki-vol-1970-71-exposes-382-399/) - [Séminaire Bourbaki: Vol. 1969/70. Exposés 364 - 381](https://online.neatra.in/product/seminaire-bourbaki-vol-1969-70-exposes-364-381/) - [Semigroups: Proceedings of a Conference Held at Oberwolfach, Germany, December 16-21, 1978](https://online.neatra.in/product/semigroups-proceedings-of-a-conference-held-at-oberwolfach-germany-december-16-21-1978/) - [Semigroups. Theory and Applications: Proceedings of a Conference held in Oberwolfach, FRG, Feb. 23 - Mar. 1, 1986](https://online.neatra.in/product/semigroups-theory-and-applications-proceedings-of-a-conference-held-in-oberwolfach-frg-feb-23-mar-1-1986/) - [Semiclassical Analysis for Diffusions and Stochastic Processes](https://online.neatra.in/product/semiclassical-analysis-for-diffusions-and-stochastic-processes/): Includes supplementary material: sn.pub/extras - [Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings](https://online.neatra.in/product/semi-algebraic-function-rings-and-reflectors-of-partially-ordered-rings/): Includes supplementary material: sn.pub/extras - [Semantic Interaction for Visual Analytics: Inferring Analytical Reasoning for Model Steering](https://online.neatra.in/product/semantic-interaction-for-visual-analytics-inferring-analytical-reasoning-for-model-steering/): This book discusses semantic interaction, a user interaction methodology for visual analytic applications that more closely couples the visual reasoning processes of people with the computation. This methodology affords user interaction on visual data representations that are native to the domain of the data. - [Self-Adjoint Operators](https://online.neatra.in/product/self-adjoint-operators/) - [Selection Theorems and Their Applications](https://online.neatra.in/product/selection-theorems-and-their-applications/) - [Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces](https://online.neatra.in/product/selected-preserver-problems-on-algebraic-structures-of-linear-operators-and-on-function-spaces/): Over the past several decades, the territory of preserver problems has been continuously enlarging within the frame of linear analysis. The aim of this work is to present a sort of cross-section of the modern theory of preservers on infinite dimensional spaces (operator spaces and function spaces) through the author's corresponding results. - [Selected Payout Products of the Old-Age Pension Saving Scheme](https://online.neatra.in/product/selected-payout-products-of-the-old-age-pension-saving-scheme/): This book discusses the payout phase of the old-age pension saving scheme, the so-called effective premium, and offers detailed actuarial models and analyses of five old-age pension saving products used in practice. These include the basic permanent monthly annuity, without any benefits for survivors, as well as products which, in addition, also include benefits for survivors or authorized persons in the event of the pensionerÂ’s death. - [Selected Exercises in Algebra: Volume 1](https://online.neatra.in/product/selected-exercises-in-algebra-volume-1/): Collection of 250 exercises and preliminary exercises The notes on the relevant theory provide the reader with a readily available, comprehensive reference The proposed exercises and carefully drafted solutions are organized by topic - [Selected Exercises in Algebra](https://online.neatra.in/product/selected-exercises-in-algebra/): This book, the second of two volumes, contains approximately 350 exercises in Algebra which have featured exam questions for the Algebraic Structure and Algebra I courses taught by the authors at the University of Pisa. Each exercise is presented together with one or more solutions, carefully written with consistent language and notation. - [Selected Applications of Convex Optimization](https://online.neatra.in/product/selected-applications-of-convex-optimization/): This book focuses on the applications of convex optimization and highlights several topics, including support vector machines, parameter estimation, norm approximation and regularization, semi-definite programming problems, convex relaxation, and geometric problems. - [Selberg's Zeta-, L-, and Eisensteinseries](https://online.neatra.in/product/selbergs-zeta-l-and-eisensteinseries/) - [Selberg Zeta Functions and Transfer Operators: An Experimental Approach to Singular Perturbations](https://online.neatra.in/product/selberg-zeta-functions-and-transfer-operators-an-experimental-approach-to-singular-perturbations/): This book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters. - [Seifert Manifolds](https://online.neatra.in/product/seifert-manifolds/) - [Second Order PDE's in Finite and Infinite Dimension: A Probabilistic Approach](https://online.neatra.in/product/second-order-pdes-in-finite-and-infinite-dimension-a-probabilistic-approach/): Includes supplementary material: sn.pub/extras - [Schwartz Spaces, Nuclear Spaces and Tensor Products](https://online.neatra.in/product/schwartz-spaces-nuclear-spaces-and-tensor-products/) - [Schubert Varieties and Degeneracy Loci](https://online.neatra.in/product/schubert-varieties-and-degeneracy-loci/): Schubert varieties and degeneracy loci have a long history in mathematics, starting from questions about loci of matrices with given ranks. These notes, from a summer school in Thurnau, aim to give an introduction to these topics, and to describe recent progress on these problems. - [Schottky Groups and Mumford Curves](https://online.neatra.in/product/schottky-groups-and-mumford-curves/) - [Schauder Bases in Banach Spaces of Continuous Functions](https://online.neatra.in/product/schauder-bases-in-banach-spaces-of-continuous-functions/) - [Scattering Theory: Some Old and New Problems](https://online.neatra.in/product/scattering-theory-some-old-and-new-problems/): Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the (absolutely) continuous spectrum. It has its origin in mathematical problems of quantum mechanics and is intimately related to the theory of partial differential equations. - [Scattering Theory for the d'Alembert Equation in Exterior Domains](https://online.neatra.in/product/scattering-theory-for-the-dalembert-equation-in-exterior-domains/) - [Sample Path Analysis and Distributions of Boundary Crossing Times](https://online.neatra.in/product/sample-path-analysis-and-distributions-of-boundary-crossing-times/): This monograph is focused on the derivations of exact distributions of first boundary crossing times of Poisson processes, compound Poisson processes, and more general renewal processes. The content is limited to the distributions of first boundary crossing times and their applications to various stochastic models. - [Saddle-Point Problems and Their Iterative Solution](https://online.neatra.in/product/saddle-point-problems-and-their-iterative-solution/): This book provides essential lecture notes on solving large linear saddle-point systems, which arise in a wide range of applications and often pose computational challenges in science and engineering. The focus is on discussing the particular properties of such linear systems, and a large selection of algebraic methods for solving them, with an emphasis on iterative methods and preconditioning. - [Saddlepoint Approximation Methods in Financial Engineering](https://online.neatra.in/product/saddlepoint-approximation-methods-in-financial-engineering/): This book summarizes recent advances in applying saddlepoint approximation methods to financial engineering. It addresses pricing exotic financial derivatives and calculating risk contributions to Value-at-Risk and Expected Shortfall in credit portfolios under various default correlation models. - [Rotation Sets and Complex Dynamics](https://online.neatra.in/product/rotation-sets-and-complex-dynamics/): This monograph examines rotation sets under the multiplication by d (mod 1) map and their relation to degree d polynomial maps of the complex plane. These sets are higher-degree analogs of the corresponding sets under the angle-doubling map of the circle, which played a key role in Douady and Hubbard's work on the quadratic family and the Mandelbrot set. - [Rosenbrock—Wanner–Type Methods](https://online.neatra.in/product/rosenbrocka-wannera-type-methods/): This book discusses the development of the Rosenbrock—Wanner methods from the origins of the idea to current research with the stable and efficient numerical solution and differential-algebraic systems of equations, still in focus. The reader gets a comprehensive insight into the classical methods as well as into the development and properties of novel W-methods, two-step and exponential Rosenbrock methods. - [Romanian-Finnish Seminar on Complex Analysis: Proceedings, Bucharest, Romania, June 27 - July 2, 1976](https://online.neatra.in/product/romanian-finnish-seminar-on-complex-analysis-proceedings-bucharest-romania-june-27-july-2-1976/) - [Robust Statistical Methods](https://online.neatra.in/product/robust-statistical-methods/) - [Road Map for Sliding Mode Control Design](https://online.neatra.in/product/road-map-for-sliding-mode-control-design/): Offers a wide range of control problems successfully solved within the framework of the SMC theory Includes a selection of reduced-order differential equations with desired solutions Shows the potential and advantages of the developed control methods and outlines areas of efficient application - [Risk Theory and Reinsurance](https://online.neatra.in/product/risk-theory-and-reinsurance/): Reinsurance is an important production factor of non-life insurance. The efficiency and the capacity of the reinsurance market directly regulate those of insurance markets. - [Spectral Theory and Differential Equations: Proceedings of the Symposium held at Dundee, Scotland, July 1-19, 1974](https://online.neatra.in/product/spectral-theory-and-differential-equations-proceedings-of-the-symposium-held-at-dundee-scotland-july-1-19-1974/) - [Spectral Representations for Schrödinger Operators with Long-Range Potentials](https://online.neatra.in/product/spectral-representations-for-schrodinger-operators-with-long-range-potentials/) - [Spectral Properties of Noncommuting Operators](https://online.neatra.in/product/spectral-properties-of-noncommuting-operators/): Includes supplementary material: sn.pub/extras - [Spectral Properties of Hamiltonian Operators](https://online.neatra.in/product/spectral-properties-of-hamiltonian-operators/) - [Spectral Mapping Theorems: A Bluffer's Guide](https://online.neatra.in/product/spectral-mapping-theorems-a-bluffers-guide/): Written by an author who was at the forefront of developments in multivariable spectral theory during the seventies and the eighties, this book describes the spectral mapping theorem in various settings. In this second edition, the Bluffer's Guide has been revised and expanded, whilst preserving the engaging style of the first. - [Spectral Geometry: Direct and Inverse Problems](https://online.neatra.in/product/spectral-geometry-direct-and-inverse-problems/) - [Spectral Decompositions on Banach Spaces](https://online.neatra.in/product/spectral-decompositions-on-banach-spaces/) - [Spectral and Scattering Theory for Ordinary Differential Equations](https://online.neatra.in/product/spectral-and-scattering-theory-for-ordinary-differential-equations/): This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm–Liouville equations.Sturm–Liouville theory has applications in partial differential equations and mathematical physics. Examples include classical PDEs such as the heat and wave equations. - [Spectral Analysis on Graph-like Spaces](https://online.neatra.in/product/spectral-analysis-on-graph-like-spaces/): A thorough analysis of quantum graphs and their approximations (graph-like spaces) A self-contained explanation of the tools needed (convergence of operators in different spaces, boundary triples) The book is accessible for a graduate student with some knowledge in functional analysis and operators on Hilbert spaces - [Spectral Analysis of Nonlinear Operators](https://online.neatra.in/product/spectral-analysis-of-nonlinear-operators/) - [Spectral Analysis of Growing Graphs: A Quantum Probability Point of View](https://online.neatra.in/product/spectral-analysis-of-growing-graphs-a-quantum-probability-point-of-view/): Presents a concise introduction to quantum probability theory as a unique tool for analyzing graph spectra and their asymptotics Comprises a unique textbook showing the interplay of quantum probability and spectral graph theory Contains exercises with brief guides to solutions Includes supplementary material: sn.pub/extras - [Special Relativity](https://online.neatra.in/product/special-relativity/): Written by a well-respected lecturer, and based on a tried and tested course at Oxford The material here has been proven to work well Contains a wealth of exercises and examples to give the students the practice they need to understand this subject Includes supplementary material: sn.pub/extras - [Special Functions, Probability Semigroups, and Hamiltonian Flows](https://online.neatra.in/product/special-functions-probability-semigroups-and-hamiltonian-flows/) - [Special Functions and Generalized Sturm-Liouville Problems](https://online.neatra.in/product/special-functions-and-generalized-sturm-liouville-problems/): This book discusses theoretical and applied aspects of Sturm-Liouville theory and its generalization. It introduces and classifies generalized Sturm-Liouville problems in three different spaces: continuous, discrete, and q-discrete spaces, focusing on special functions that are solutions of a regular or singular Sturm-Liouville problem. - [Spear Operators Between Banach Spaces](https://online.neatra.in/product/spear-operators-between-banach-spaces/): This monograph is devoted to the study of spear operators, that is, bounded linear operators G between Banach spaces X and Y satisfying that for every other bounded linear operator T:X ? Y there exists a modulus-one scalar ? such that ? G+?T? = 1 + ?T?. - [SPDE in Hydrodynamics: Recent Progress and Prospects: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, August 29 - September 3, 2005](https://online.neatra.in/product/spde-in-hydrodynamics-recent-progress-and-prospects-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-august-29-september-3-2005/): Includes supplementary material: sn.pub/extras - [Spatial Fleming-Viot Models with Selection and Mutation](https://online.neatra.in/product/spatial-fleming-viot-models-with-selection-and-mutation/): Develops a class of spatial models of a population undergoing mutation, selection and migration Develops new duality methods for multitype population models Develops the McKean-Vlasov limit of exchangeable population models and their entrance laws Identifies mutation-selection equilibria Offers valuable insights into the role of migration in the emergence of rare mutants in spatial Fleming-Viot models Sheds new light on the role of migration in sustaining biodiversity in evolution Includes supplementary material: sn.pub/extras - [Sparse Matrix Techniques: Copenhagen 1976](https://online.neatra.in/product/sparse-matrix-techniques-copenhagen-1976/) - [Spaces of Vector-Valued Continuous Functions](https://online.neatra.in/product/spaces-of-vector-valued-continuous-functions/) - [Spaces of Orderings and Abstract Real Spectra](https://online.neatra.in/product/spaces-of-orderings-and-abstract-real-spectra/): This book is of interest to students as well as experts in the area of real algebraic geometry, quadratic forms, orderings, valuations, lattice ordered groups and rings, and in model theory. The original motivation comes from orderings on fields and commutative rings. - [Spaces of Homotopy Self-Equivalences - A Survey](https://online.neatra.in/product/spaces-of-homotopy-self-equivalences-a-survey/): This survey covers groups of homotopy self-equivalence classes of topological spaces, and the homotopy type of spaces of homotopy self-equivalences. For manifolds, the full group of equivalences and the mapping class group are compared, as are the corresponding spaces. - [Spaces of Approximating Functions with Haar-like Conditions](https://online.neatra.in/product/spaces-of-approximating-functions-with-haar-like-conditions/): Tchebycheff (or Haar) and weak Tchebycheff spaces play a central role when considering problems of best approximation from finite dimensional spaces. The aim of this book is to introduce Haar-like spaces, which are Haar and weak Tchebycheff spaces under special conditions. - [Spaces of Analytic Functions: Seminar held at Kristiansand, Norway, June 9-14, 1975](https://online.neatra.in/product/spaces-of-analytic-functions-seminar-held-at-kristiansand-norway-june-9-14-1975/) - [Space Curves: Proceedings of a Conference held in Rocca di Papa, Italy, June 3-8, 1985](https://online.neatra.in/product/space-curves-proceedings-of-a-conference-held-in-rocca-di-papa-italy-june-3-8-1985/): The main topics of the conference on "Curves in Projective Space" were good and bad families of projective curves, postulation of projective space curves and classical problems in enumerative geometry. - [Sound Synthesis, Propagation, and Rendering](https://online.neatra.in/product/sound-synthesis-propagation-and-rendering/): This book gives a broad overview of research on sound simulation driven by a variety of applications. Vibrating objects produce sound, which then propagates through a medium such as air or water before finally being heard by a listener. - [Some Mathematical Models from Population Genetics: École d'Été de Probabilités de Saint-Flour XXXIX-2009](https://online.neatra.in/product/some-mathematical-models-from-population-genetics-ecole-dete-de-probabilites-de-saint-flour-xxxix-2009/): First volume aimed at mathematicians to cover a wide range of models from population genetics Provides the biological motivation for models without using too much `jargon' Provides the mathematical and biological background needed by a mathematician to read research papers in theoretical population genetics Includes supplementary material: sn.pub/extras - [Solvable Algebras of Pseudodifferential Operators](https://online.neatra.in/product/solvable-algebras-of-pseudodifferential-operators/): This book presents original research results on pseudodifferential operators. C*-algebras generated by pseudodifferential operators with piecewise smooth symbols on a smooth manifold are considered. - [Sobolev Spaces on Riemannian Manifolds](https://online.neatra.in/product/sobolev-spaces-on-riemannian-manifolds/): Several books deal with Sobolev spaces on open subsets of R (n), but none yet with Sobolev spaces on Riemannian manifolds, despite the fact that the theory of Sobolev spaces on Riemannian manifolds already goes back about 20 years. The book of Emmanuel Hebey will fill this gap, and become a necessary reading for all using Sobolev spaces on Riemannian manifolds. - [Sobolev Gradients and Differential Equations](https://online.neatra.in/product/sobolev-gradients-and-differential-equations/): Includes supplementary material: sn.pub/extras - [Smoothing Techniques for Curve Estimation: Proceedings of a Workshop held in Heidelberg, April 2-4, 1979](https://online.neatra.in/product/smoothing-techniques-for-curve-estimation-proceedings-of-a-workshop-held-in-heidelberg-april-2-4-1979/) - [Smooth S1 Manifolds](https://online.neatra.in/product/smooth-s1-manifolds/) - [Smooth Ergodic Theory of Random Dynamical Systems](https://online.neatra.in/product/smooth-ergodic-theory-of-random-dynamical-systems/): This book studies ergodic-theoretic aspects of random dynam- ical systems, i.e. of deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems, and can be viewed as an update of Kifer's book. - [Smooth Ergodic Theory for Endomorphisms](https://online.neatra.in/product/smooth-ergodic-theory-for-endomorphisms/): Includes supplementary material: sn.pub/extras - [SL2(R)](https://online.neatra.in/product/sl2r/): SL2(R) gives the student an introduction to the infinite dimensional representation theory of semisimple Lie groups by concentrating on one example - SL2(R). - [Singularity Theory, Rod Theory, and Symmetry Breaking Loads](https://online.neatra.in/product/singularity-theory-rod-theory-and-symmetry-breaking-loads/) - [Singularity Theory and its Applications: Warwick 1989, Part II: Singularities, Bifurcations and Dynamics](https://online.neatra.in/product/singularity-theory-and-its-applications-warwick-1989-part-ii-singularities-bifurcations-and-dynamics/): A workshop on Singularities, Bifuraction and Dynamics was held at Warwick in July 1989, as part of a year-long symposium on Singularity Theory and its applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic geometry and volume II on connections with dynamical systems theory, bifurcation theory and applications in the sciences. - [Singularity Theory and its Applications: Warwick 1989, Part I: Geometric Aspects of Singularities](https://online.neatra.in/product/singularity-theory-and-its-applications-warwick-1989-part-i-geometric-aspects-of-singularities/): A workshop on Singularities, Bifuraction and Dynamics was held at Warwick in July 1989, as part of a year-long symposium on Singularity Theory and its applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic geometry and volume II on connections with dynamical systems theory, bifurcation theory and applications in the sciences. - [Singularity Theory and Equivariant Symplectic Maps](https://online.neatra.in/product/singularity-theory-and-equivariant-symplectic-maps/): The monograph is a study of the local bifurcations of multiparameter symplectic maps of arbitrary dimension in the neighborhood of a fixed point.The problem is reduced to a study of critical points of an equivariant gradient bifurcation problem, using the correspondence between orbits ofa symplectic map and critical points of an action functional. - [Singularities, Representation of Algebras, and Vector Bundles: Proceedings of a Symposium held in Lambrecht/Pfalz, Fed.Rep. of Germany, Dec. 13-17, 1985](https://online.neatra.in/product/singularities-representation-of-algebras-and-vector-bundles-proceedings-of-a-symposium-held-in-lambrecht-pfalz-fed-rep-of-germany-dec-13-17-1985/): It is well known that there are close relations between classes of singularities and representation theory via the McKay correspondence and between representation theory and vector bundles on projective spaces via the Bernstein-Gelfand-Gelfand construction. These relations however cannot be considered to be either completely understood or fully exploited. - [Singularities in Linear Wave Propagation](https://online.neatra.in/product/singularities-in-linear-wave-propagation/): These lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators. The greater part collects and organizes known material relating to these constructions. - [Singularities and Constructive Methods for Their Treatment: Proceedings of the Conference held in Oberwolfach, West Germany, November 20-26, 1983](https://online.neatra.in/product/singularities-and-constructive-methods-for-their-treatment-proceedings-of-the-conference-held-in-oberwolfach-west-germany-november-20-26-1983/) - [Singularites d'Applications Differentiables: Seminaire sur les Singularites d'Applications Differentiables Plans-Sur-Bex 1975](https://online.neatra.in/product/singularites-dapplications-differentiables-seminaire-sur-les-singularites-dapplications-differentiables-plans-sur-bex-1975/) - [Singular Stochastic Differential Equations](https://online.neatra.in/product/singular-stochastic-differential-equations/): Includes supplementary material: sn.pub/extras - [Singular Spectrum Analysis with R](https://online.neatra.in/product/singular-spectrum-analysis-with-r/): This comprehensive and richly illustrated volume provides up-to-date material on Singular Spectrum Analysis (SSA). SSA is a well-known methodology for the analysis and forecasting of time series. - [Singular Random Dynamics: Cetraro, Italy 2016](https://online.neatra.in/product/singular-random-dynamics-cetraro-italy-2016/): Presents advanced techniques for the KPZ equation and a wide bibliography on singular SPDEs IIncludes novel results for dispersive equations made possible by randomizing initial conditions Offers a unique exposition of the theory of fully nonlinear SPDEs - [Singular Perturbations: Introduction to System Order Reduction Methods with Applications](https://online.neatra.in/product/singular-perturbations-introduction-to-system-order-reduction-methods-with-applications/): Begins with the basics and moves in easy stages, up to dealing with research level problems Explains the theory as well as providing fresh examples and applications Emphasises slow integral manifolds and their use in analysing significant applied problems Contains an extensive bibliography and include references not widely known in the English speaking world - [Singular Perturbations and Boundary Layer Theory: Proceedings of the Conference Held at the Ecole Centrale de Lyon, December 8-10, 1976](https://online.neatra.in/product/singular-perturbations-and-boundary-layer-theory-proceedings-of-the-conference-held-at-the-ecole-centrale-de-lyon-december-8-10-1976/) - [Singular Perturbation Analysis of Discrete Control Systems](https://online.neatra.in/product/singular-perturbation-analysis-of-discrete-control-systems/) - [Singular Ordinary Differential Operators and Pseudodifferential Equations](https://online.neatra.in/product/singular-ordinary-differential-operators-and-pseudodifferential-equations/) - [Singular Modular Forms and Theta Relations](https://online.neatra.in/product/singular-modular-forms-and-theta-relations/): This research monograph reports on recent work on the theory of singular Siegel modular forms of arbitrary level. Singular modular forms are represented as linear combinations of theta series. - [Singular Integrals](https://online.neatra.in/product/singular-integrals/) - [Singular Homology Theory](https://online.neatra.in/product/singular-homology-theory/): This textbook on homology and cohomology theory is geared towards the beginning graduate student. Singular homology theory is developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. - [Singular Coverings of Toposes](https://online.neatra.in/product/singular-coverings-of-toposes/): Includes supplementary material: sn.pub/extras - [Simulation and Inference for Stochastic Processes with YUIMA: A Comprehensive R Framework for SDEs and Other Stochastic Processes](https://online.neatra.in/product/simulation-and-inference-for-stochastic-processes-with-yuima-a-comprehensive-r-framework-for-sdes-and-other-stochastic-processes/): The YUIMA package is the first comprehensive R framework based on S4 classes and methods which allows for the simulation of stochastic differential equations driven by Wiener process, Lévy processes or fractional Brownian motion, as well as CARMA, COGARCH, and Point processes. - [Simplicial Complexes of Graphs](https://online.neatra.in/product/simplicial-complexes-of-graphs/): Includes supplementary material: sn.pub/extras - [Simple Singularities and Simple Algebraic Groups](https://online.neatra.in/product/simple-singularities-and-simple-algebraic-groups/) - [Simple Morphisms in Algebraic Geometry](https://online.neatra.in/product/simple-morphisms-in-algebraic-geometry/) - [Simple Mathematical Models of Gene Regulatory Dynamics](https://online.neatra.in/product/simple-mathematical-models-of-gene-regulatory-dynamics/): This is a short and self-contained introduction to the field of mathematical modeling of gene-networks in bacteria. As an entry point to the field, we focus on the analysis of simple gene-network dynamics. - [Similarity Problems and Completely Bounded Maps](https://online.neatra.in/product/similarity-problems-and-completely-bounded-maps/): Two chapters have been added on the HALMOS and KADISON similarity problems Includes supplementary material: sn.pub/extras - [Siegel's Modular Forms and Dirichlet Series: Course Given at the University of Maryland, 1969 - 1970](https://online.neatra.in/product/siegels-modular-forms-and-dirichlet-series-course-given-at-the-university-of-maryland-1969-1970/) - [Siegel Modular Forms: A Classical and Representation-Theoretic Approach](https://online.neatra.in/product/siegel-modular-forms-a-classical-and-representation-theoretic-approach/): Explores the connections between the classical and representation theoretic approaches in the study of Siegel modular forms Illustrates how basic concepts can be applied to solve contemporary problems in the study of modular forms Based on lecture notes delivered during a workshop at the Indian Institutes of Science Education and Research, Pune, India from 2017 - [Shuffle Approach Towards Quantum Affine and Toroidal Algebras](https://online.neatra.in/product/shuffle-approach-towards-quantum-affine-and-toroidal-algebras/): This book is based on the author's mini course delivered at Tokyo University of Marine Science and Technology in March 2019. The shuffle approach to Drinfeld–Jimbo quantum groups of finite type (embedding their "positive" subalgebras into q-deformed shuffle algebras) was first developed independently in the 1990s by J. Green, M. Rosso, and P. Schauenburg. Motivated by similar ideas, B. Feigin and A. Odesskii proposed a shuffle approach to elliptic quantum groups around the same time. - [Short Wave Radiation Problems in Inhomogeneous Media: Asymptotic Solutions](https://online.neatra.in/product/short-wave-radiation-problems-in-inhomogeneous-media-asymptotic-solutions/) - [Sharp Real-Part Theorems: A Unified Approach](https://online.neatra.in/product/sharp-real-part-theorems-a-unified-approach/): Includes supplementary material: sn.pub/extras - [Sharkovsky Ordering](https://online.neatra.in/product/sharkovsky-ordering/): This book provides a comprehensive survey of the Sharkovsky ordering, its different aspects and its role in dynamical systems theory and applications. It addresses the coexistence of cycles for continuous interval maps and one-dimensional spaces, combinatorial dynamics on the interval and multidimensional dynamical systems. - [Shape Theory: An Introduction](https://online.neatra.in/product/shape-theory-an-introduction/) - [Shape Theory and Geometric Topology: Proceedings of a Conference Held at the Inter-University Centre of Postgraduate Studies, Dubrovnik, Yugoslavia, January 19-30, 1981](https://online.neatra.in/product/shape-theory-and-geometric-topology-proceedings-of-a-conference-held-at-the-inter-university-centre-of-postgraduate-studies-dubrovnik-yugoslavia-january-19-30-1981/) - [Shadowing in Dynamical Systems](https://online.neatra.in/product/shadowing-in-dynamical-systems/): Includes supplementary material: sn.pub/extras - [Shadowing and Hyperbolicity](https://online.neatra.in/product/shadowing-and-hyperbolicity/): Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical systems, this book surveys recent progress in establishing relations between shadowing and such basic notions from the classical theory of structural stability as hyperbolicity and transversality. - [Several Real Variables](https://online.neatra.in/product/several-real-variables/): A modern, self-contained exposition of the basic analysis of functions of several real variables An easy-to-read introduction to first-order logic and model theory Presents the essential aspects of model theory needed to understand model theoretic algebra Includes interesting and profound applications of model theory to algebra Includes supplementary material: sn.pub/extras - [Several Complex Variables. Maryland 1970. Proceedings of the International Mathematical Conference, Held at College Park, April 6-17, 1970: Part 2](https://online.neatra.in/product/several-complex-variables-maryland-1970-proceedings-of-the-international-mathematical-conference-held-at-college-park-april-6-17-1970-part-2/) - [Several Complex Variables. Maryland 1970. Proceedings of the International Mathematical Conference, Held at College Park, April 6-17, 1970: Part 1](https://online.neatra.in/product/several-complex-variables-maryland-1970-proceedings-of-the-international-mathematical-conference-held-at-college-park-april-6-17-1970-part-1/) - [Several Complex Variables](https://online.neatra.in/product/several-complex-variables/): The present book grew out of introductory lectures on the theory offunctions of several variables. - [Set-Valued Mappings, Selections and Topological Properties of 2x: Proceedings of the Conference Held at the State University of New York at Buffalo, May 8-10, 1969](https://online.neatra.in/product/set-valued-mappings-selections-and-topological-properties-of-2x-proceedings-of-the-conference-held-at-the-state-university-of-new-york-at-buffalo-may-8-10-1969/) - [Sets, Models and Proofs](https://online.neatra.in/product/sets-models-and-proofs/): Provides a concise introduction to mathematical logic for mathematics students Introduces models before formal proofs Includes a detailed presentation of naïve set theory as used in everyday mathematical reasoning Gives a detailed description of Gentzen-style proof trees and GödelÂ’s completeness theorem for first-order logic Contains over 100 exercises of varying difficulty - [Sets, Logic and Categories](https://online.neatra.in/product/sets-logic-and-categories/): Peter Cameron is a well-known mathematician with an excellent reputation, both as a teacher and as a researcher. The book proposal has had very good reviews and should sell well even though it is a high level text because of Cameron's reputation in the field. The book is a third level text, but this is a relatively popular option for many mathematics students, not least because of the connection between this subject and computational science. Includes supplementary material: sn.pub/extras - [Set Theory and Model Theory: Proceedings of an Informal Symposium Held at Bonn, June 1-3, 1979](https://online.neatra.in/product/set-theory-and-model-theory-proceedings-of-an-informal-symposium-held-at-bonn-june-1-3-1979/) - [Set Theory and its Applications: Proceedings of a Conference held at York University, Ontario, Canada, Aug. 10-21, 1987](https://online.neatra.in/product/set-theory-and-its-applications-proceedings-of-a-conference-held-at-york-university-ontario-canada-aug-10-21-1987/): The Set Theory and Applications meeting at York University, Ontario, featured both contributed talks and a series of invited lectures on topics central to set theory and to general topology. These proceedings contain a selection of the resulting papers, mostly announcing new unpublished results. - [Set Theory and Hierarchy Theory: A Memorial Tribute to Andrzej Mostowski. Bierutowice, Poland, 1975](https://online.neatra.in/product/set-theory-and-hierarchy-theory-a-memorial-tribute-to-andrzej-mostowski-bierutowice-poland-1975/) - [Set Theory and Hierarchy Theory V: Bierutowice, Poland 1976](https://online.neatra.in/product/set-theory-and-hierarchy-theory-v-bierutowice-poland-1976/) - [Set Operads in Combinatorics and Computer Science](https://online.neatra.in/product/set-operads-in-combinatorics-and-computer-science/): This monograph has two main objectives. The first one is to give a self-contained exposition of the relevant facts about set operads, in the context of combinatorial species and its operations. - [Serre's Conjecture](https://online.neatra.in/product/serres-conjecture/): From the Preface: "I felt it would be useful for graduate students to see a detailed account of the sequence of mathematical developments which was inspired by the Conjecture, and which ultimately led to its full solution.... I offered a course on Serre's Conjecture to a small group of graduate students in January, 1977 [at the University of California, Berkeley] one year after its solution by Quillen and Suslin. - [Series of Bessel and Kummer-Type Functions](https://online.neatra.in/product/series-of-bessel-and-kummer-type-functions/): This book is devoted to the study of certain integral representations for Neumann, Kapteyn, Schlömilch, Dini and Fourier series of Bessel and other special functions, such as Struve and von Lommel functions. The aim is also to find the coefficients of the Neumann and Kapteyn series, as well as closed-form expressions and summation formulas for the series of Bessel functions considered. - [Sequences, Discrepancies and Applications](https://online.neatra.in/product/sequences-discrepancies-and-applications/): The main purpose of this book is to give an overview of the developments during the last 20 years in the theory of uniformly distributed sequences. The authors focus on various aspects such as special sequences, metric theory, geometric concepts of discrepancy, irregularities of distribution, continuous uniform distribution and uniform distribution in discrete spaces. - [Sequences and Series in Banach Spaces](https://online.neatra.in/product/sequences-and-series-in-banach-spaces/): This volume presents answers to some natural questions of a general analytic character that arise in the theory of Banach spaces. I believe that altogether too many of the results presented herein are unknown to the active abstract analysts, and this is not as it should be. - [Separably Injective Banach Spaces](https://online.neatra.in/product/separably-injective-banach-spaces/): This monograph contains a detailed exposition of the up-to-date theory of separably injective spaces: new and old results are put into perspective with concrete examples (such as l?/c0 and C(K) spaces, where K is a finite height compact space or an F-space, ultrapowers of L? spaces and spaces of universal disposition). - [Separable Algebras over Commutative Rings](https://online.neatra.in/product/separable-algebras-over-commutative-rings/) - [Sensitivity of Functionals with Applications to Engineering Sciences: Proceedings of a Special Session of the American Mathematical Society Spring Meeting held in New York City, May 1983](https://online.neatra.in/product/sensitivity-of-functionals-with-applications-to-engineering-sciences-proceedings-of-a-special-session-of-the-american-mathematical-society-spring-meeting-held-in-new-york-city-may-1983/) - [Seminormal Operators](https://online.neatra.in/product/seminormal-operators/) - [Seminar on Triples and Categorical Homology Theory: ETH 1966/67](https://online.neatra.in/product/seminar-on-triples-and-categorical-homology-theory-eth-1966-67/) - [Seminar on Potential Theory II](https://online.neatra.in/product/seminar-on-potential-theory-ii/) - [Seminar on Periodic Maps](https://online.neatra.in/product/seminar-on-periodic-maps/) - [Seminar on Functional Operators and Equations: Forschungsinstitut für Mathematik, ETH, Zürich, October 1965 - July 1966](https://online.neatra.in/product/seminar-on-functional-operators-and-equations-forschungsinstitut-fur-mathematik-eth-zurich-october-1965-july-1966/) - [Seminar on Fiber Spaces: Lectures delivered in 1964 in Berkeley and 1965 in Zürich](https://online.neatra.in/product/seminar-on-fiber-spaces-lectures-delivered-in-1964-in-berkeley-and-1965-in-zurich/) - [Seminar on Differential Equations and Dynamical Systems: Part 2: Seminar Lectures at the University of Maryland 1969](https://online.neatra.in/product/seminar-on-differential-equations-and-dynamical-systems-part-2-seminar-lectures-at-the-university-of-maryland-1969/) - [Seminar on Differential Equations and Dynamical Systems: Part 1](https://online.neatra.in/product/seminar-on-differential-equations-and-dynamical-systems-part-1/) - [Seminar on Deformations: Proceedings, Lodz-Warsaw 1982/84](https://online.neatra.in/product/seminar-on-deformations-proceedings-lodz-warsaw-1982-84/) - [Seminar on Complex Multiplication: Seminar Held at the Institute for Advanced Study, Princeton, N.Y., 1957-58](https://online.neatra.in/product/seminar-on-complex-multiplication-seminar-held-at-the-institute-for-advanced-study-princeton-n-y-1957-58/) - [Seminar on Algebraic Groups and Related Finite Groups: Held at the Institute for Advanced Study, Princeton/NJ, 1968/69](https://online.neatra.in/product/seminar-on-algebraic-groups-and-related-finite-groups-held-at-the-institute-for-advanced-study-princeton-nj-1968-69/) - [Séminaire Pierre Lelong (Analyse): Année 1974-75](https://online.neatra.in/product/seminaire-pierre-lelong-analyse-annee-1974-75/) - [Summer School on Topological Vector Spaces](https://online.neatra.in/product/summer-school-on-topological-vector-spaces/) - [Substitutions in Dynamics, Arithmetics and Combinatorics](https://online.neatra.in/product/substitutions-in-dynamics-arithmetics-and-combinatorics/): Includes supplementary material: sn.pub/extras - [Substitution Dynamical Systems - Spectral Analysis](https://online.neatra.in/product/substitution-dynamical-systems-spectral-analysis/): Includes supplementary material: sn.pub/extras - [Substitution and Tiling Dynamics: Introduction to Self-inducing Structures](https://online.neatra.in/product/substitution-and-tiling-dynamics-introduction-to-self-inducing-structures/): This book presents a panorama of recent developments in the theory of tilings and related dynamical systems. It contains an expanded version of courses given in 2017 at the research school associated with the Jean-Morlet chair program. - [Sub-Riemannian Geometry and Optimal Transport](https://online.neatra.in/product/sub-riemannian-geometry-and-optimal-transport/): Crash course in both sub-Riemannian geometry and optimal transport Recent results and state-of-the-art on optimal transport in sub-Riemannian geometry Includes supplementary material: sn.pub/extras - [Sturm-Liouville Theory and its Applications](https://online.neatra.in/product/sturm-liouville-theory-and-its-applications/): Provides a rigorous introduction to the theory at a level suitable for undergraduates Includes plenty of clearly-worked examples and exercises with solutions thereby making the book well-suited for self-study Designed to accompany a one-semester course, the book will prepare readers for a course on PDEs Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material - [Study Guide for Statistics for Business and Financial Economics: A Supplement to the Textbook by Cheng-Few Lee, John C. Lee and Alice C. Lee](https://online.neatra.in/product/study-guide-for-statistics-for-business-and-financial-economics-a-supplement-to-the-textbook-by-cheng-few-lee-john-c-lee-and-alice-c-lee/): This Study Guide accompanies Statistics for Business and Financial Economics, 3rd Ed. (Springer, 2013), which is the most definitive Business Statistics book to use Finance, Economics, and Accounting data throughout the entire book. The Study Guide contains unique chapter reviews for each chapter in the textbook, formulas, examples and additional exercises to enhance topics and their application. - [Structured Population Models in Biology and Epidemiology](https://online.neatra.in/product/structured-population-models-in-biology-and-epidemiology/): Includes supplementary material: sn.pub/extras - [Structure of Arbitrary Purely Inseparable Extensions](https://online.neatra.in/product/structure-of-arbitrary-purely-inseparable-extensions/) - [Structure and Representations of Q-Groups](https://online.neatra.in/product/structure-and-representations-of-q-groups/) - [Structural Stability, the Theory of Catastrophes, and Applications in the Sciences: Proceedings of the Conference held at Battelle Seattle Research Center 1975](https://online.neatra.in/product/structural-stability-the-theory-of-catastrophes-and-applications-in-the-sciences-proceedings-of-the-conference-held-at-battelle-seattle-research-center-1975/) - [Strong Limit Theorems in Non-Commutative Probability](https://online.neatra.in/product/strong-limit-theorems-in-non-commutative-probability/) - [Strong Limit Theorems in Noncommutative L2-Spaces](https://online.neatra.in/product/strong-limit-theorems-in-noncommutative-l2-spaces/): The noncommutative versions of fundamental classical results on the almost sure convergence in L2-spaces are discussed: individual ergodic theorems, strong laws of large numbers, theorems on convergence of orthogonal series, of martingales of powers of contractions etc. The proofs introduce new techniques in von Neumann algebras. - [Strong Asymptotics for Extremal Polynomials Associated with Weights on R](https://online.neatra.in/product/strong-asymptotics-for-extremal-polynomials-associated-with-weights-on-r/): 0. The results are consequences of a strengthened form of the following assertion: Given 0 1. Auxiliary results include inequalities for weighted polynomials, and zeros of extremal polynomials. - [Strong and Weak Approximation of Semilinear Stochastic Evolution Equations](https://online.neatra.in/product/strong-and-weak-approximation-of-semilinear-stochastic-evolution-equations/): Employing Galerkin finite element methods closes the gap between theoretical convergence results and standard PDE solvers in widely used software packages Derives the optimal order of strong convergence through optimal regularity results Includes a self-contained introduction to Malliavin calculus Effectively approaches weak convergence for SPDEs with stochastic coefficients by avoiding KolmogorovÂ’s backward equation Includes supplementary material: sn.pub/extras - [Stresses in glaciers: Methods of Calculation](https://online.neatra.in/product/stresses-in-glaciers-methods-of-calculation/): In this book, for the first time, a hitherto unknown general solution of the reliably known stress conditions is presented. This general solution forms a reliable and new starting point to get further in stress calculations than before. - [Stratified Polyhedra](https://online.neatra.in/product/stratified-polyhedra/) - [Stratified Mappings - Structure and Triangulability](https://online.neatra.in/product/stratified-mappings-structure-and-triangulability/) - [Stochastic Spatial Processes: Mathematical Theories and Biological Applications](https://online.neatra.in/product/stochastic-spatial-processes-mathematical-theories-and-biological-applications/) - [Stochastic Processes and Their Applications: Proceedings of the International Conference held in Nagoya, July 2-6, 1985](https://online.neatra.in/product/stochastic-processes-and-their-applications-proceedings-of-the-international-conference-held-in-nagoya-july-2-6-1985/) - [Stochastic Processes and Financial Mathematics](https://online.neatra.in/product/stochastic-processes-and-financial-mathematics/): The book provides an introduction to advanced topics in stochastic processes and related stochastic analysis, and combines them with a sound presentation of the fundamentals of financial mathematics. It is wide-ranging in content, while at the same time placing much emphasis on good readability, motivation, and explanation of the issues covered. - [Stochastic Processes - Mathematics and Physics: Proceedings of the 1st BiBoS-Symposium held in Bielefeld, West Germany, September 10-15, 1984](https://online.neatra.in/product/stochastic-processes-mathematics-and-physics-proceedings-of-the-1st-bibos-symposium-held-in-bielefeld-west-germany-september-10-15-1984/) - [Stochastic Processes - Mathematics and Physics II: Proceedings of the 2nd BiBoS Symposium held in Bielefeld, West Germany, April 15-19, 1985](https://online.neatra.in/product/stochastic-processes-mathematics-and-physics-ii-proceedings-of-the-2nd-bibos-symposium-held-in-bielefeld-west-germany-april-15-19-1985/): This second BiBoS volume surveys recent developments in the theory of stochastic processes. Particular attention is given to the interaction between mathematics and physics. Main topics include: statistical mechanics, stochastic mechanics, differential geometry, stochastic proesses, quantummechanics, quantum field theory, probability measures, central limit theorems, stochastic differential equations, Dirichlet forms. - [Stochastic Porous Media Equations](https://online.neatra.in/product/stochastic-porous-media-equations/): This is the first book on stochastic porous media equations Concentrates on essential points, including existence, uniqueness, ergodicity and finite time extinction results Presents the state of the art of the subject in a concise, but reasonably self-contained way Includes both the slow and fast diffusion case, but also the critical case, modeling self-organized criticality - [Stochastic Population and Epidemic Models](https://online.neatra.in/product/stochastic-population-and-epidemic-models/): This monograph provides a summary of the basic theory of branching processes for single-type and multi-type processes. Classic examples of population and epidemic models illustrate the probability of population or epidemic extinction obtained from the theory of branching processes. - [Stochastic PDE's and Kolmogorov Equations in Infinite Dimensions: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)held in Cetraro, Italy, August 24 - September 1, 1998](https://online.neatra.in/product/stochastic-pdes-and-kolmogorov-equations-in-infinite-dimensions-lectures-given-at-the-2nd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-cetraro-italy-august-24-septemb/): Includes supplementary material: sn.pub/extras - [Stochastic Partial Differential Equations and Applications: Proceedings of a Conference held in Trento, Italy, September 30 - October 5, 1985](https://online.neatra.in/product/stochastic-partial-differential-equations-and-applications-proceedings-of-a-conference-held-in-trento-italy-september-30-october-5-1985/) - [Stochastic Partial Differential Equations and Applications II: Proceedings of a Conference held in Trento, Italy, February 1-6, 1988](https://online.neatra.in/product/stochastic-partial-differential-equations-and-applications-ii-proceedings-of-a-conference-held-in-trento-italy-february-1-6-1988/) - [Stochastic Partial Differential Equations](https://online.neatra.in/product/stochastic-partial-differential-equations/): Covers material for about 40 hours of lectures for everybody working in the area of stochastic analysis, from beginning graduate students to experts in the field Presents exercise material to fill potential exams and homework assignments, and gives hints that can lead to solutions. Provides all the necessary background from functional analysis and the theory of PDEs Gives all necessary tools to understand the proofs of existing theorems about SPDEs (from other sources) and even to formulate and prove a few new ones - [Stochastic Optimal Transportation](https://online.neatra.in/product/stochastic-optimal-transportation/): In this book, the optimal transportation problem (OT) is described as a variational problem for absolutely continuous stochastic processes with fixed initial and terminal distributions. Also described is SchrödingerÂ’s problem, which is originally a variational problem for one-step random walks with fixed initial and terminal distributions. - [Stochastic Neuron Models](https://online.neatra.in/product/stochastic-neuron-models/): This book describes a large number of open problems in the theory of stochastic neural systems, with the aim of enticing probabilists to work on them. This includes problems arising from stochastic models of individual neurons as well as those arising from stochastic models of the activities of small and large networks of interconnected neurons. - [Stochastic Models for Time Series](https://online.neatra.in/product/stochastic-models-for-time-series/): This book presents essential tools for modelling non-linear time series. The first part of the book describes the main standard tools of probability and statistics that directly apply to the time series context to obtain a wide range of modelling possibilities. - [Stochastic Models for Structured Populations: Scaling Limits and Long Time Behavior](https://online.neatra.in/product/stochastic-models-for-structured-populations-scaling-limits-and-long-time-behavior/): Illustrates the tools of modelling in ecology and evolution for students and researchers in the field Co-published jointly with mathematical biosciences institute Top international authors in area of stochastic processes in biology series of lectures suitable for graduate students and researchers in mathematical biology Based on works with biologists from ecology and evolution - [Stochastic Modeling](https://online.neatra.in/product/stochastic-modeling/): Three coherent parts form the material covered in this text, portions of which have not been widely covered in traditional textbooks. In this coverage the reader is quickly introduced to several different topics enriched with 175 exercises which focus on real-world problems. - [Stochastic Methods in Finance: Lectures given at the C.I.M.E.-E.M.S. Summer School held in Bressanone/Brixen, Italy, July 6-12, 2003](https://online.neatra.in/product/stochastic-methods-in-finance-lectures-given-at-the-c-i-m-e-e-m-s-summer-school-held-in-bressanone-brixen-italy-july-6-12-2003/): Includes supplementary material: sn.pub/extras - [Stochastic Mechanics and Stochastic Processes: Proceedings of a Conference held in Swansea, UK, August 4-8, 1986](https://online.neatra.in/product/stochastic-mechanics-and-stochastic-processes-proceedings-of-a-conference-held-in-swansea-uk-august-4-8-1986/): The main theme of the meeting was to illustrate the use of stochastic processes in the study of topological problems in quantum physics and statistical mechanics. Much discussion of current problems was generated and there was a considerable amount of interaction between mathematicians and physicists. - [Stochastic Linear-Quadratic Optimal Control Theory: Open-Loop and Closed-Loop Solutions](https://online.neatra.in/product/stochastic-linear-quadratic-optimal-control-theory-open-loop-and-closed-loop-solutions/): This book gathers the most essential results, including recent ones, on linear-quadratic optimal control problems, which represent an important aspect of stochastic control. - [Stochastic Linear-Quadratic Optimal Control Theory: Differential Games and Mean-Field Problems](https://online.neatra.in/product/stochastic-linear-quadratic-optimal-control-theory-differential-games-and-mean-field-problems/): This book gathers the most essential results, including recent ones, on linear-quadratic optimal control problems, which represent an important aspect of stochastic control. - [Stochastic Integration by Parts and Functional Itô Calculus](https://online.neatra.in/product/stochastic-integration-by-parts-and-functional-ito-calculus/): Includes a general method for proving existence of a density for stochastic processes, using interpolation Illustrates a pathwise derivation of the Ito formula and the Functional Ito calculus Provides solutions to problems in applied fields such as mathematical finance - [Stochastic Integrals: Proceedings of the LMS Durham Symposium, July 7-17, 1980](https://online.neatra.in/product/stochastic-integrals-proceedings-of-the-lms-durham-symposium-july-7-17-1980/) - [Stochastic Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 13-18, 2004](https://online.neatra.in/product/stochastic-geometry-lectures-given-at-the-c-i-m-e-summer-school-held-in-martina-franca-italy-september-13-18-2004/): Stochastic Geometry is the mathematical discipline which studies mathematical models for random geometric structures, as they appear frequently in almost all natural sciences or technical fields. Although its roots can be traced back to the 18th century (the Buffon needle problem), the modern theory of random sets was founded by D. Kendall and G. Matheron in the early 1970's. - [Stochastic Geometry, Spatial Statistics and Random Fields: Models and Algorithms](https://online.neatra.in/product/stochastic-geometry-spatial-statistics-and-random-fields-models-and-algorithms/): Frontier theoretical work on point processes, random fields and integral geometry Extensive applications in materials science, biology and genetics Extensive codes in Matlab and R that help the reader with applications Many examples help the reader to deepen their understanding - [Stochastic Geometry, Spatial Statistics and Random Fields: Asymptotic Methods](https://online.neatra.in/product/stochastic-geometry-spatial-statistics-and-random-fields-asymptotic-methods/): Comprises introductory material as well as advances topics with a significant number of proofs Numerous images ease the understanding of complex mathematical notions Includes a large number of excercises for active reading Provides vast research bibliography Includes supplementary material: sn.pub/extras - [Stochastic Geometry](https://online.neatra.in/product/stochastic-geometry/): This volume offers a unique and accessible overview of the most active fields in Stochastic Geometry, up to the frontiers of recent research. Since 2014, the yearly meeting of the French research structure GDR GeoSto has been preceded by two introductory courses. - [Stochastic Exponential Growth and Lattice Gases](https://online.neatra.in/product/stochastic-exponential-growth-and-lattice-gases/): The book discusses a class of discrete time stochastic growth processes for which the growth rate is proportional to the exponential of a Gaussian Markov process. These growth processes appear naturally in problems of mathematical finance as discrete time approximations of stochastic volatility models and stochastic interest rates models such as the Black-Derman-Toy and Black-Karasinski models. - [Stochastic Epidemic Models with Inference](https://online.neatra.in/product/stochastic-epidemic-models-with-inference/): Most detailed and broad treatment of stochastic epidemic models ever published in one volume Covers both classical and new results and methods, from mathematical models to statistical procedures Aimed at PhD students and Post Docs in mathematical sciences Includes numerous Examples and Exercises (some with solutions) - [Stochastic Dynamics in Computational Biology](https://online.neatra.in/product/stochastic-dynamics-in-computational-biology/): The aim of this book is to provide a well-structured and coherent overview of existing mathematical modeling approaches for biochemical reaction systems, investigating relations between both the conventional models and several types of deterministic-stochastic hybrid model recombinations. - [Stochastic Convergence of Weighted Sums of Random Elements in Linear Spaces](https://online.neatra.in/product/stochastic-convergence-of-weighted-sums-of-random-elements-in-linear-spaces/) - [Stochastic Chemical Reaction Systems in Biology](https://online.neatra.in/product/stochastic-chemical-reaction-systems-in-biology/): Provides a systematic mathematical treatment of biological population dynamics in terms of probability theory Introduces a new theoretical framework for nonequilibrium statistical physics with applications to biology Offers a coherent approach to biophysics and physical chemistry based on stochastic kinetic models - [Stochastic Calculus with Infinitesimals](https://online.neatra.in/product/stochastic-calculus-with-infinitesimals/): A demonstrably consistent use of infinitesimals permits a radically simplified approach to stochastic calculus Chapters on asset pricing, Lévy processes and the Feynman path integral introduce readers to applications Appendixes explore the relationship with Internal Set Theory and Robinsonian nonstandard analysis Includes supplementary material: sn.pub/extras - [Stochastic Calculus for Fractional Brownian Motion and Related Processes](https://online.neatra.in/product/stochastic-calculus-for-fractional-brownian-motion-and-related-processes/): Includes supplementary material: sn.pub/extras - [Stochastic Calculus](https://online.neatra.in/product/stochastic-calculus/): Provides a self-contained introduction to stochastic calculus Includes applications and numerical methods Features more than 200 exercises with detailed solutions - [Stochastic Biomathematical Models](https://online.neatra.in/product/stochastic-biomathematical-models/): Written by current leading experts in the field Focus on interdisciplinary (physiological and biological) applications of stochastic methods Representation of key theoretical ideas but also clear and motivated examples of application and implementation issues Includes supplementary material: sn.pub/extras - [Stochastic Aspects of Classical and Quantum Systems: Proceedings of the 2nd French-German Encounter in Mathematics and Physics, held in Marseille, France, March 28 - April 1, 1983](https://online.neatra.in/product/stochastic-aspects-of-classical-and-quantum-systems-proceedings-of-the-2nd-french-german-encounter-in-mathematics-and-physics-held-in-marseille-france-march-28-april-1-1983/) - [Stochastic Analysis: Proceedings of the Japanese-French Seminar held in Paris, France, June 16-19, 1987](https://online.neatra.in/product/stochastic-analysis-proceedings-of-the-japanese-french-seminar-held-in-paris-france-june-16-19-1987/) - [Stochastic Analysis of Biochemical Systems](https://online.neatra.in/product/stochastic-analysis-of-biochemical-systems/): Part of the Mathematical Biosciences Institute Graduate Lecture series Top international authors in area of stochastic processes in biology Used for students and researchers working at intersection of mathematics and biology Includes supplementary material: sn.pub/extras - [Stochastic Analysis in Discrete and Continuous Settings: With Normal Martingales](https://online.neatra.in/product/stochastic-analysis-in-discrete-and-continuous-settings-with-normal-martingales/): Includes supplementary material: sn.pub/extras - [Stochastic Analysis for Finance with Simulations](https://online.neatra.in/product/stochastic-analysis-for-finance-with-simulations/): This book is an introduction to stochastic analysis and quantitative finance| it includes both theoretical and computational methods. Topics covered are stochastic calculus, option pricing, optimal portfolio investment, and interest rate models. - [Stochastic Analysis and Related Topics: Proceedings of a Workshop held in Silivri, Turkey, July 7–9, 1986](https://online.neatra.in/product/stochastic-analysis-and-related-topics-proceedings-of-a-workshop-held-in-silivri-turkey-july-7a-9-1986/): The Silvri Workshop was divided into a short summer school and a working conference, producing lectures and research papers on recent developments in stochastic analysis on Wiener space. The topics treated in the lectures relate to the Malliavin calculus, the Skorohod integral and nonlinear functionals of white noise. - [Stochastic Analysis and Related Topics II: Proceedings of a Second Workshop held in Silivri, Turkey, July 18-30, 1988](https://online.neatra.in/product/stochastic-analysis-and-related-topics-ii-proceedings-of-a-second-workshop-held-in-silivri-turkey-july-18-30-1988/): The Second Silivri Workshop functioned as a short summer school and a working conference, producing lecture notes and research papers on recent developments of Stochastic Analysis on Wiener space. The topics of the lectures concern short time asymptotic problems and anticipative stochastic differential equations. - [Stochastic Analysis and Applications: Proceedings of the International Conference held in Swansea, April 11-15, 1983](https://online.neatra.in/product/stochastic-analysis-and-applications-proceedings-of-the-international-conference-held-in-swansea-april-11-15-1983/) - [Statistical Mechanics and Fractals](https://online.neatra.in/product/statistical-mechanics-and-fractals/): This book is composed of two texts, by R.L. Dobrushin and S. Kusuoka, each representing the content of a course of lectures given by the authors. They are pitched at graduate student level and are thus very accessible introductions to their respective subjects for students and non specialists. - [Statistical Learning Theory and Stochastic Optimization: Ecole d'Eté de Probabilités de Saint-Flour XXXI - 2001](https://online.neatra.in/product/statistical-learning-theory-and-stochastic-optimization-ecole-dete-de-probabilites-de-saint-flour-xxxi-2001/): Includes supplementary material: sn.pub/extras - [Statistical Data Analysis Using SAS: Intermediate Statistical Methods](https://online.neatra.in/product/statistical-data-analysis-using-sas-intermediate-statistical-methods/): The aim of this textbook (previously titled SAS for Data Analytics) is to teach the use of SAS for statistical analysis of data for advanced undergraduate and graduate students in statistics, data science, and disciplines involving analyzing data. - [Stationary Diffraction by Wedges: Method of Automorphic Functions on Complex Characteristics](https://online.neatra.in/product/stationary-diffraction-by-wedges-method-of-automorphic-functions-on-complex-characteristics/): Gives a brief, accessible, modern review of the history of the development of the mathematical theory of diffraction Covers techniques applicable to a wide range of problems Provides a detailed and well-illustrated explanation of an original method, missing in the present literature - [Star-Critical Ramsey Numbers for Graphs](https://online.neatra.in/product/star-critical-ramsey-numbers-for-graphs/): This text is a comprehensive survey of the literature surrounding star-critical Ramsey numbers. First defined by Jonelle Hook in her 2010 dissertation, these numbers aim to measure the sharpness of the corresponding Ramsey numbers by determining the minimum number of edges needed to be added to a critical graph for the Ramsey property to hold. - [Standard Integral Table Algebras Generated by a Non-real Element of Small Degree](https://online.neatra.in/product/standard-integral-table-algebras-generated-by-a-non-real-element-of-small-degree/): Includes supplementary material: sn.pub/extras - [Stable Non-Gaussian Self-Similar Processes with Stationary Increments](https://online.neatra.in/product/stable-non-gaussian-self-similar-processes-with-stationary-increments/): This book provides a self-contained presentation on the structure of a large class of stable processes, known as self-similar mixed moving averages. The authors present a way to describe and classify these processes by relating them to so-called deterministic flows. - [Stable Mappings and Their Singularities](https://online.neatra.in/product/stable-mappings-and-their-singularities/): This book aims to present to first and second year graduate students a beautiful and relatively accessible field of mathematics-the theory of singu­ larities of stable differentiable mappings. - [Stable Klingen Vectors and Paramodular Newforms](https://online.neatra.in/product/stable-klingen-vectors-and-paramodular-newforms/): Introduces an important new family of congruence subgroups of GSp(4) Reveals a new dichotomy for paramodular representations Connects Fourier coefficients and Hecke eigenvalues of paramodular newforms - [Stable Homotopy Theory](https://online.neatra.in/product/stable-homotopy-theory/) - [Stable Homotopy Groups of Spheres: A Computer-Assisted Approach](https://online.neatra.in/product/stable-homotopy-groups-of-spheres-a-computer-assisted-approach/): A central problem in algebraic topology is the calculation of the values of the stable homotopy groups of spheres +*S. In this book, a new method for this is developed based upon the analysis of the Atiyah-Hirzebruch spectral sequence. - [Stable Homotopy](https://online.neatra.in/product/stable-homotopy/) - [Stable Approximate Evaluation of Unbounded Operators](https://online.neatra.in/product/stable-approximate-evaluation-of-unbounded-operators/): Spectral theory of bounded linear operators teams up with von NeumannÂ’s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. - [Stabilization of Elastic Systems by Collocated Feedback](https://online.neatra.in/product/stabilization-of-elastic-systems-by-collocated-feedback/): By introducing a new stabilization methodology, this book characterizes the stability of a certain class of systems. The stability (exponential, polynomial, or weaker) for the closed loop problem is reduced to an observability estimate for the corresponding uncontrolled system combined with a boundedness property of the transfer function of the associated open loop system. - [Stabilization for Some Fractional-Evolution Systems](https://online.neatra.in/product/stabilization-for-some-fractional-evolution-systems/): This brief provides unified methods for the stabilization of some fractional evolution systems, nicely complementing existing literature on fractional calculus. The volume is divided into three chapters, the first of which considers the stabilization for some abstract evolution equations with a fractional damping, the second of which validates the abstract results of chapter 1 on concrete examples, and the third of which studies the stabilization of fractional evolution systems with memory. - [Stability Problems for Stochastic Models: Proceedings of the International Seminar held in Suzdal, Russia, Jan.27-Feb. 2,1991](https://online.neatra.in/product/stability-problems-for-stochastic-models-proceedings-of-the-international-seminar-held-in-suzdal-russia-jan-27-feb-21991/): The subject of this book is a new direction in the field of probability theory and mathematical statistics which can be called "stability theory": it deals with evaluating the effects of perturbing initial probabilistic models and embraces quite varied subtopics: limit theorems, queueing models, statistical inference, probability metrics, etc. The contributions are original research articles developing new ideas and methods of stability analysis. - [Stability Problems for Stochastic Models: Proceedings of the 9th International Seminar held in Varna, Bulgaria, May 13-19, 1985](https://online.neatra.in/product/stability-problems-for-stochastic-models-proceedings-of-the-9th-international-seminar-held-in-varna-bulgaria-may-13-19-1985/) - [Stability Problems for Stochastic Models: Proceedings of the 8th International Seminar held in Uzhgorod, USSR, Sept. 23-29, 1984](https://online.neatra.in/product/stability-problems-for-stochastic-models-proceedings-of-the-8th-international-seminar-held-in-uzhgorod-ussr-sept-23-29-1984/) - [Stability Problems for Stochastic Models: Proceedings of the 6th International Seminar Held in Moscow, USSR, April 1982](https://online.neatra.in/product/stability-problems-for-stochastic-models-proceedings-of-the-6th-international-seminar-held-in-moscow-ussr-april-1982/) - [Stability Problems for Stochastic Models: Proceedings of the 11th International Seminar held in Sukhumi (Abkhazian Autonomous Republic), USSR, Sept. 25 - Oct. 1, 1987](https://online.neatra.in/product/stability-problems-for-stochastic-models-proceedings-of-the-11th-international-seminar-held-in-sukhumi-abkhazian-autonomous-republic-ussr-sept-25-oct-1-1987/): Traditionally the Stability seminar, organized in Moscow but held in different locations, has dealt with a spectrum of topics centering around characterization problems and their stability, limit theorems, probabil- ity metrics and theoretical robustness. This volume likewise focusses on these main topics in a series of original and recent research articles. - [Stability of Unfoldings](https://online.neatra.in/product/stability-of-unfoldings/) - [Stability of Stochastic Dynamical Systems: Proceedings of the International Symposium Organized by 'The Control Theory Centre', University of Warwick, July 10-14, 1972](https://online.neatra.in/product/stability-of-stochastic-dynamical-systems-proceedings-of-the-international-symposium-organized-by-the-control-theory-centre-university-of-warwick-july-10-14-1972/) - [Stability of Queueing Networks: École d'Été de Probabilités de Saint-Flour XXXVI-2006](https://online.neatra.in/product/stability-of-queueing-networks-ecole-dete-de-probabilites-de-saint-flour-xxxvi-2006/): Includes supplementary material: sn.pub/extras - [Stability of Nonautonomous Differential Equations](https://online.neatra.in/product/stability-of-nonautonomous-differential-equations/): Includes supplementary material: sn.pub/extras - [Stability of Elastic Multi-Link Structures](https://online.neatra.in/product/stability-of-elastic-multi-link-structures/): Contains insight into the polynomial stability phenomenon Systematically presents recent results in the field Serves as a self-contained volume - [Stability Estimates for Hybrid Coupled Domain Decomposition Methods](https://online.neatra.in/product/stability-estimates-for-hybrid-coupled-domain-decomposition-methods/): Includes supplementary material: sn.pub/extras - [Stability and Bifurcation Theory for Non-Autonomous Differential Equations: Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera](https://online.neatra.in/product/stability-and-bifurcation-theory-for-non-autonomous-differential-equations-cetraro-italy-2011-editors-russell-johnson-maria-patrizia-pera/): Up-to-date study of ordinary and functional differential equations Use of topological and dynamical methods and comparison of such methods Speakers are all leading experts in the field - [Squigonometry: The Study of Imperfect Circles](https://online.neatra.in/product/squigonometry-the-study-of-imperfect-circles/): This textbook introduces generalized trigonometric functions through the exploration of imperfect circles: curves defined by |x|p + |y|p = 1 where p ? 1. Grounded in visualization and computations, this accessible, modern perspective encompasses new and old results, casting a fresh light on duality, special functions, geometric curves, and differential equations. - [Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III](https://online.neatra.in/product/splitting-deformations-of-degenerations-of-complex-curves-towards-the-classification-of-atoms-of-degenerations-iii/): Includes supplementary material: sn.pub/extras - [Splines and PDEs: From Approximation Theory to Numerical Linear Algebra](https://online.neatra.in/product/splines-and-pdes-from-approximation-theory-to-numerical-linear-algebra/): This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric methods. A wide variety of research topics are covered, ranging from approximation theory to structured numerical linear algebra. - [Spline Functions: Proceedings of an International Symposium held at Karlsruhe, Germany, May 20-23, 1975](https://online.neatra.in/product/spline-functions-proceedings-of-an-international-symposium-held-at-karlsruhe-germany-may-20-23-1975/) - [Spherical Tube Hypersurfaces](https://online.neatra.in/product/spherical-tube-hypersurfaces/): This is a research monograph which is quite unique in a number of ways However, it is hard to state the main features of the book briefly for non-experts As a result, I am afraid I cannot come up with simple selling points that would be understood by the general reader and even by mathematicians who are not experts in the area of several complex variables Includes supplementary material: sn.pub/extras - [Spherical Harmonics and Approximations on the Unit Sphere: An Introduction](https://online.neatra.in/product/spherical-harmonics-and-approximations-on-the-unit-sphere-an-introduction/): An easily accessible introduction to the theory of spherical harmonics in an arbitrary dimension A summarizing account of classical and recent results on some aspects of function approximations by spherical polynomials and numerical integration over the unit sphere Useful for graduate students and researchers interested in solving problems over the sphere Good for a graduate level topic course on spherical harmonics and approximations over the sphere Includes supplementary material: sn.pub/extras - [Spherical Harmonics](https://online.neatra.in/product/spherical-harmonics/) - [Spectral Theory of Random Schrödinger Operators: A Genetic Introduction](https://online.neatra.in/product/spectral-theory-of-random-schrodinger-operators-a-genetic-introduction/): The interplay between the spectral theory of Schr|dinger operators and probabilistic considerations forms the main theme of these notes, written for the non-specialist reader and intended to provide a brief and elementaryintroduction to this field. An attempt is made to show basic ideas in statu nascendi and to follow their evaluation from simple beginnings through to more advanced results. - [Spectral Theory of Ordinary Differential Operators](https://online.neatra.in/product/spectral-theory-of-ordinary-differential-operators/): These notes will be useful and of interest to mathematicians and physicists active in research as well as for students with some knowledge of the abstract theory of operators in Hilbert spaces. They give a complete spectral theory for ordinary differential expressions of arbitrary order n operating on -valued functions existence and construction of self-adjoint realizations via boundary conditions, determination and study of general properties of the resolvent, spectral representation and spectral resolution. - [Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction](https://online.neatra.in/product/spectral-theory-of-non-commutative-harmonic-oscillators-an-introduction/): One of the main features is the use of techniques that are very powerful and flexible. The approach could be used also for other problems. Another feature constists of an exposition of different results that are scattered throughout the literature. Includes supplementary material: sn.pub/extras - [Spectral Theory of Banach Space Operators: Ck-Classification, Abstract Volterra Operators, Similarity, Spectrality, Local Spectral Analysis](https://online.neatra.in/product/spectral-theory-of-banach-space-operators-ck-classification-abstract-volterra-operators-similarity-spectrality-local-spectral-analysis/) - [Spectral Theory and Quantum Mechanics: Mathematical Foundations of Quantum Theories, Symmetries and Introduction to the Algebraic Formulation](https://online.neatra.in/product/spectral-theory-and-quantum-mechanics-mathematical-foundations-of-quantum-theories-symmetries-and-introduction-to-the-algebraic-formulation/): Most chapters are accompanied by exercises, many of which are solved explicitly Presents several examples of the physical formalism Can be used as an advanced introductory text on spectral theory and operator algebras - [The Large Flux Problem to the Navier-Stokes Equations](https://online.neatra.in/product/the-large-flux-problem-to-the-navier-stokes-equations/): This monograph considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow, and proves the existence of global regular solutions without any restrictions on the magnitude of the initial velocity, the external force, or the flux. - [The Lace Expansion and its Applications: Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004](https://online.neatra.in/product/the-lace-expansion-and-its-applications-ecole-dete-de-probabilites-de-saint-flour-xxxiv-2004/): Includes supplementary material: sn.pub/extras - [The Kurzweil-Henstock Integral for Undergraduates](https://online.neatra.in/product/the-kurzweil-henstock-integral-for-undergraduates/): This beginners' course provides students with a general and sufficiently easy to grasp theory of the Kurzweil-Henstock integral. The integral is indeed more general than Lebesgue's in RN, but its construction is rather simple, since it makes use of Riemann sums which, being geometrically viewable, are more easy to be understood. - [The Krasnosel'skii-Mann Iterative Method: Recent Progress and Applications](https://online.neatra.in/product/the-krasnoselskii-mann-iterative-method-recent-progress-and-applications/): Offers a self-contained presentation of both classical and new results for interdisciplinary research Contains cutting-edge techniques and various applications Discusses recent applications of KM in large-scale optimization methods - [The Kazhdan-Lusztig Cells in Certain Affine Weyl Groups](https://online.neatra.in/product/the-kazhdan-lusztig-cells-in-certain-affine-weyl-groups/) - [The Jacobi-Perron Algorithm: Its Theory and Application](https://online.neatra.in/product/the-jacobi-perron-algorithm-its-theory-and-application/) - [The Isomonodromic Deformation Method in the Theory of Painleve Equations](https://online.neatra.in/product/the-isomonodromic-deformation-method-in-the-theory-of-painleve-equations/) - [The Impossibility of Squaring the Circle in the 17th Century](https://online.neatra.in/product/the-impossibility-of-squaring-the-circle-in-the-17th-century/): This book is about James GregoryÂ’s attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. - [The Implicit Function Theorem: History, Theory, and Applications](https://online.neatra.in/product/the-implicit-function-theorem-history-theory-and-applications/): Affordable reprint of a classic monograph Accessible and thorough treatment of the implicit and inverse function theorems and their applications Unifies disparate ideas that have played an important role in modern mathematics - [The Hyperbolic Cauchy Problem](https://online.neatra.in/product/the-hyperbolic-cauchy-problem/): The approach to the Cauchy problem taken here by the authors is based on theuse of Fourier integral operators with a complex-valued phase function, which is a time function chosen suitably according to the geometry of the multiple characteristics. The correctness of the Cauchy problem in the Gevrey classes for operators with hyperbolic principal part is shown in the first part. - [The Homology of Iterated Loop Spaces](https://online.neatra.in/product/the-homology-of-iterated-loop-spaces/) - [The Hasse - Noether Correspondence 1925 -1935](https://online.neatra.in/product/the-hasse-noether-correspondence-1925-1935/): Providing the first comprehensive account of the widely unknown cooperation and friendship between Emmy Noether and Helmut Hasse, this book contains English translations of all available letters which were exchanged between them in the years 1925-1935. - [The Hardy Space H1 with Non-doubling Measures and Their Applications](https://online.neatra.in/product/the-hardy-space-h1-with-non-doubling-measures-and-their-applications/): The arguments for the main results are detailed and self-contained At least one typical and easily explicable example is given for each important notion further clarifying the relationship between the known and the present notions Detailed references for the content of each chapter are given. Also, well-known related results and some unsolved problems, which will be of interest to the reader, are presented, which might be interesting to the reader Includes supplementary material: sn.pub/extras - [The Hamiltonian Hopf Bifurcation](https://online.neatra.in/product/the-hamiltonian-hopf-bifurcation/) - [The Gradient Discretisation Method](https://online.neatra.in/product/the-gradient-discretisation-method/): Includes a complete convergence analysis of schemes for linear and non-linear PDEs, covering all standard boundary conditions for elliptic and parabolic models Presents a unified analysis of many classical, and less classical, numerical methods, including an analysis of degenerate models Provides very generic compactness results for stationary and time-dependent problems - [The Global Theory of Minimal Surfaces in Flat Spaces: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Martina Franca, Italy, June 7-14, 1999](https://online.neatra.in/product/the-global-theory-of-minimal-surfaces-in-flat-spaces-lectures-given-at-the-2nd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-martina-franca-italy-june-7-14-1999/): Includes supplementary material: sn.pub/extras - [The Geometry of some special Arithmetic Quotients](https://online.neatra.in/product/the-geometry-of-some-special-arithmetic-quotients/): The book discusses a series of higher-dimensional moduli spaces, of abelian varieties, cubic and K3 surfaces, which have embeddings in projective spaces as very special algebraic varieties. Many of these were known classically, but in the last chapter a new such variety, a quintic fourfold, is introduced and studied. - [The Geometry of Ordinary Variational Equations](https://online.neatra.in/product/the-geometry-of-ordinary-variational-equations/): The book provides a comprehensive theory of ODE which come as Euler-Lagrange equations from generally higher-order Lagrangians. Emphasis is laid on applying methods from differential geometry (fibered manifolds and their jet-prolongations) and global analysis (distributions and exterior differential systems). - [The Geometry of Metric and Linear Spaces: Proceedings of a Conference held at Michigan State University, East Lansing, Michigan, USA, June 17-19, 1974](https://online.neatra.in/product/the-geometry-of-metric-and-linear-spaces-proceedings-of-a-conference-held-at-michigan-state-university-east-lansing-michigan-usa-june-17-19-1974/) - [The Geometry of Jordan and Lie Structures](https://online.neatra.in/product/the-geometry-of-jordan-and-lie-structures/): Includes supplementary material: sn.pub/extras - [The Geometry of Iterated Loop Spaces](https://online.neatra.in/product/the-geometry-of-iterated-loop-spaces/) - [The Genus Fields of Algebraic Number Fields](https://online.neatra.in/product/the-genus-fields-of-algebraic-number-fields/) - [The Fundamentals of Analysis for Talented Freshmen](https://online.neatra.in/product/the-fundamentals-of-analysis-for-talented-freshmen/): This book assumes the students know some of the basic facts about Calculus. We are very rigorous and expose them to the proofs and the ideas which produce them. - [The Fuglede-Putnam Theory](https://online.neatra.in/product/the-fuglede-putnam-theory/): This book is essentially a survey of results on the Fuglede-Putnam theorem and its generalizations in a wide variety of directions. Presenting a broad overview of the results obtained in the field since the early 1950s, this is the first monograph to be dedicated to this powerful tool and its variants. - [The Essence of Numbers](https://online.neatra.in/product/the-essence-of-numbers/): This is a unique book which systematically addresses the conceptual nature of numbers Combines mathematics, philosophy and history as tools to account for the existence and essence of numbers Draws on original analyses of key classical authors (Aristotle, Condillac, Frege, Husserl...) - [The Enumerative Theory of Conics after Halphen](https://online.neatra.in/product/the-enumerative-theory-of-conics-after-halphen/) - [The E. M. Stein Lectures on Hardy Spaces](https://online.neatra.in/product/the-e-m-stein-lectures-on-hardy-spaces/): The book The E. M. Stein Lectures on Hardy Spaces is based on a graduate course on real variable Hardy spaces which was given by E.M. Stein at Princeton University in the academic year 1973-1974. - [The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise](https://online.neatra.in/product/the-dynamics-of-nonlinear-reaction-diffusion-equations-with-small-levy-noise/): The comprehensive presentation serves as an excellent basis for a Master's course on stochastic partial differential equations(SPDEs) with Lévy noise The showcase character of this study provides particular insight into the methods developed and stimulates future research An additional chapter connects the mathematical results to its climatological motivation Includes supplementary material: sn.pub/extras - [The Dynamical System Generated by the 3n+1 Function](https://online.neatra.in/product/the-dynamical-system-generated-by-the-3n1-function/): The 3n+1 function T is defined by T(n)=n/2 for n even, and T(n)=(3n+1)/2 for n odd. The famous 3n+1 conjecture, which remains open, states that, for any starting number n>0, iterated application of T to n eventually produces 1. After a survey of theorems concerning the 3n+1 problem, the main focus of the book are 3n+1 predecessor sets. - [The Duality of Compact Semigroups and C*-Bigebras](https://online.neatra.in/product/the-duality-of-compact-semigroups-and-c-bigebras/) - [The Dual of L8(X,L,?), Finitely Additive Measures and Weak Convergence: A Primer](https://online.neatra.in/product/the-dual-of-l8xl-finitely-additive-measures-and-weak-convergence-a-primer/): In measure theory, a familiar representation theorem due to F. Riesz identifies the dual space Lp(X,L,?)* with Lq(X,L,?), where 1/p+1/q=1, as long as 1 ? p - [The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations](https://online.neatra.in/product/the-dirichlet-problem-with-l2-boundary-data-for-elliptic-linear-equations/): The Dirichlet problem has a very long history in mathematics and its importance in partial differential equations, harmonic analysis, potential theory and the applied sciences is well-known. In the last decade the Dirichlet problem with L2-boundary data has attracted the attention of several mathematicians. - [The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type](https://online.neatra.in/product/the-dirichlet-problem-for-elliptic-hyperbolic-equations-of-keldysh-type/): The first text devoted entirely to the analysis of elliptic-hyperbolic equations of Keldysh type Includes the most recent methods of analysis in this field Numerous applications are included Includes supplementary material: sn.pub/extras - [The Dirac Spectrum](https://online.neatra.in/product/the-dirac-spectrum/): Includes supplementary material: sn.pub/extras - [The Development of the Number Field Sieve](https://online.neatra.in/product/the-development-of-the-number-field-sieve/): The number field sieve is an algorithm for finding the prime factors of large integers. It depends on algebraic number theory. - [The Determination of Units in Real Cyclic Sextic Fields](https://online.neatra.in/product/the-determination-of-units-in-real-cyclic-sextic-fields/) - [The Deficiency Index Problem for Powers of Ordinary Differential Expressions](https://online.neatra.in/product/the-deficiency-index-problem-for-powers-of-ordinary-differential-expressions/) - [The Decomposition of Primes in Torsion Point Fields](https://online.neatra.in/product/the-decomposition-of-primes-in-torsion-point-fields/): Includes supplementary material: sn.pub/extras - [The Crystals Associated to Barsotti-Tate Groups: With Applications to Abelian Schemes](https://online.neatra.in/product/the-crystals-associated-to-barsotti-tate-groups-with-applications-to-abelian-schemes/) - [The Cos pi Lambda Theorem](https://online.neatra.in/product/the-cos-pi-lambda-theorem/) - [The Convergence Problem for Dissipative Autonomous Systems: Classical Methods and Recent Advances](https://online.neatra.in/product/the-convergence-problem-for-dissipative-autonomous-systems-classical-methods-and-recent-advances/): The book investigates classical and more recent methods of study for the asymptotic behavior of dissipative continuous dynamical systems with applications to ordinary and partial differential equations, the main question being convergence (or not) of the solutions to an equilibrium. - [The Concordance-Homotopy Groups of Geometric Automorphism Groups](https://online.neatra.in/product/the-concordance-homotopy-groups-of-geometric-automorphism-groups/) - [The Computational Complexity of Logical Theories](https://online.neatra.in/product/the-computational-complexity-of-logical-theories/) - [The Colorado Mathematical Olympiad: The Third Decade and Further Explorations: From the Mountains of Colorado to the Peaks of Mathematics](https://online.neatra.in/product/the-colorado-mathematical-olympiad-the-third-decade-and-further-explorations-from-the-mountains-of-colorado-to-the-peaks-of-mathematics/): Now in its third decade, the Colorado Mathematical Olympiad (CMO), founded by the author, has become an annual state-wide competition, hosting many hundreds of middle and high school contestants each year. This book presents a year-by-year history of the CMO from 2004–2013 with all the problems from the competitions and their solutions. - [The Cohomology of Commutative Semigroups](https://online.neatra.in/product/the-cohomology-of-commutative-semigroups/): This book provides an organized exposition of the current state of the theory of commutative semigroup cohomology, a theory which was originated by the author and has matured in the past few years. - [The Classification of Three-dimensional Homogeneous Complex Manifolds](https://online.neatra.in/product/the-classification-of-three-dimensional-homogeneous-complex-manifolds/): This book provides a classification of all three-dimensional complex manifolds for which there exists a transitive action (by biholomorphic transformations) of a real Lie group. This means two homogeneous complex manifolds are considered equivalent if they are isomorphic as complex manifolds. - [The Characterization of Finite Elasticities](https://online.neatra.in/product/the-characterization-of-finite-elasticities/): This book develops a new theory in convex geometry, generalizing positive bases and related to CarathéordoryÂ’s Theorem by combining convex geometry, the combinatorics of infinite subsets of lattice points, and the arithmetic of transfer Krull monoids (the latter broadly generalizing the ubiquitous class of Krull domains in commutative algebra)This new theory is developed in a self-contained way with the main motivation of its later applications regarding factorization. - [The Cauchy Problem for Higher Order Abstract Differential Equations](https://online.neatra.in/product/the-cauchy-problem-for-higher-order-abstract-differential-equations/): The main purpose of this book is to present the basic theory and some recent de­ velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + ~ AiU(i)(t) = 0, t ~ 0, { U(k)(O) = Uk, 0 ~ k ~ n-l. where AQ, Ab . . . , A - are linear operators in a topological vector space E. n 1 Many problems in nature can be modeled as (ACP ). - [The Carleson-Hunt Theorem on Fourier Series](https://online.neatra.in/product/the-carleson-hunt-theorem-on-fourier-series/) - [The Callias Index Formula Revisited](https://online.neatra.in/product/the-callias-index-formula-revisited/): These lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc.) and theoretical physics (e.g., nonrelativistic and relativistic quantum mechanics, condensed matter physics, and quantum field theory), there is much interest in computing Fredholm indices of certain linear partial differential operators. - [The Calabi–Yau Landscape: From Geometry, to Physics, to Machine Learning](https://online.neatra.in/product/the-calabia-yau-landscape-from-geometry-to-physics-to-machine-learning/): The first monograph applying machine learning to problems of geometry Provides a data-driven introduction to computational algebraic geometry Delivers a quick introduction to modern data science, with code in popular software (Python, SageMath and Mathematica) Includes background in geometry, algebra, and theoretical physics - [The Boundary-Domain Integral Method for Elliptic Systems: With Application to Shells](https://online.neatra.in/product/the-boundary-domain-integral-method-for-elliptic-systems-with-application-to-shells/): This monograph gives a description of all algorithmic steps and a mathematical foundation for a special numerical method, namely the boundary-domain integral method (BDIM). This method is a generalization of the well-known boundary element method, but it is also applicable to linear elliptic systems with variable coefficients, especially to shell equations. - [The Blocking Technique, Weighted Mean Operators and Hardy's Inequality](https://online.neatra.in/product/the-blocking-technique-weighted-mean-operators-and-hardys-inequality/): This book presents the first comprehensive treatment of the blocking technique which consists in transforming norms in section form into norms in block form, and vice versa. Such norms appear throughout analysis. - [The Basic Approach to Age-Structured Population Dynamics: Models, Methods and Numerics](https://online.neatra.in/product/the-basic-approach-to-age-structured-population-dynamics-models-methods-and-numerics/): Presents basic approaches to using age structure in mathematical biology models Extends the theory of age-structured modeling to the spread of diseases and epidemics Pays careful attention to mathematical rigor in demographical and epidemiological contexts - [The Axiom of Constructibility: A Guide for the Mathematician](https://online.neatra.in/product/the-axiom-of-constructibility-a-guide-for-the-mathematician/) - [The Atiyah-Singer Index Theorem: An Introduction](https://online.neatra.in/product/the-atiyah-singer-index-theorem-an-introduction/) - [The Art of Random Walks](https://online.neatra.in/product/the-art-of-random-walks/): Includes supplementary material: sn.pub/extras - [The Approximation of Continuous Functions by Positive Linear Operators](https://online.neatra.in/product/the-approximation-of-continuous-functions-by-positive-linear-operators/) - [The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type](https://online.neatra.in/product/the-analysis-of-fractional-differential-equations-an-application-oriented-exposition-using-differential-operators-of-caputo-type/): Provides a detailed mathematical description of the class fractional differential operators that is most important in applications in physics, engineering, etc. Bridges the gap between aspects from pure mathematics and application-oriented questions Contains a solid mathematical foundation on which researchers from outside of mathematics can build their models Is written in a style suitable for use as textbook Includes supplementary material: sn.pub/extras - [The Adjoint of a Semigroup of Linear Operators](https://online.neatra.in/product/the-adjoint-of-a-semigroup-of-linear-operators/): This monograph provides a systematic treatment of the abstract theory of adjoint semigroups. After presenting the basic elementary results, the following topics are treated in detail: The sigma (X, X )-topology, -reflexivity, the Favard class, Hille-Yosida operators, interpolation and extrapolation, weak -continuous semigroups, the codimension of X in X , adjoint semigroups and the Radon-Nikodym property, tensor products of semigroups and duality, positive semigroups and multiplication semigroups. - [Test Configurations, Stabilities and Canonical Kähler Metrics](https://online.neatra.in/product/test-configurations-stabilities-and-canonical-kahler-metrics/): The Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. However, this conjecture is still open for general polarizations or more generally in extremal Kähler cases. - [Term Logic with Choice Operator](https://online.neatra.in/product/term-logic-with-choice-operator/) - [Tensor Valuations and Their Applications in Stochastic Geometry and Imaging](https://online.neatra.in/product/tensor-valuations-and-their-applications-in-stochastic-geometry-and-imaging/): The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications. Starting with classical results concerning scalar-valued valuations on the families of convex bodies and convex polytopes, it proceeds to the modern theory of tensor valuations. - [Tensor Products of Principal Series Representations: Reduction of Tensor Products of Principal Series Representations of Complex Semisimple Lie Groups](https://online.neatra.in/product/tensor-products-of-principal-series-representations-reduction-of-tensor-products-of-principal-series-representations-of-complex-semisimple-lie-groups/) - [Techniques of Multivariate Calculation](https://online.neatra.in/product/techniques-of-multivariate-calculation/) - [Techniques of Admissible Recursion Theory](https://online.neatra.in/product/techniques-of-admissible-recursion-theory/) - [Tau-Rings and Wreath Product Representations](https://online.neatra.in/product/tau-rings-and-wreath-product-representations/) - [Tauberian Remainder Theorems](https://online.neatra.in/product/tauberian-remainder-theorems/) - [Tame Geometry with Application in Smooth Analysis](https://online.neatra.in/product/tame-geometry-with-application-in-smooth-analysis/): Includes supplementary material: sn.pub/extras - [Tame Algebras and Integral Quadratic Forms](https://online.neatra.in/product/tame-algebras-and-integral-quadratic-forms/) - [Tableau Systems for First Order Number Theory and Certain Higher Order Theories](https://online.neatra.in/product/tableau-systems-for-first-order-number-theory-and-certain-higher-order-theories/) - [Systems Biology](https://online.neatra.in/product/systems-biology/): This book discusses the mathematical simulation of biological systems, with a focus on the modeling of gene expression, gene regulatory networks and stem cell regeneration. The diffusion of morphogens is addressed by introducing various reaction-diffusion equations based on different hypotheses concerning the process of morphogen gradient formation. - [Symposium on the Theory of Numerical Analysis: Held in Dundee/Scotland, September 15-23, 1970](https://online.neatra.in/product/symposium-on-the-theory-of-numerical-analysis-held-in-dundee-scotland-september-15-23-1970/) - [Symposium on Several Complex Variables. Park City, Utah, 1970](https://online.neatra.in/product/symposium-on-several-complex-variables-park-city-utah-1970/) - [Symposium on Probability Methods in Analysis: Lectures Delivered at a Symposium at Loutraki, Greece, 22.5. - 4.6.66](https://online.neatra.in/product/symposium-on-probability-methods-in-analysis-lectures-delivered-at-a-symposium-at-loutraki-greece-22-5-4-6-66/) - [Symposium on Ordinary Differential Equations: Minneapolis, Minnesota, May 29 - 30, 1972](https://online.neatra.in/product/symposium-on-ordinary-differential-equations-minneapolis-minnesota-may-29-30-1972/) - [Symposium on Optimization: Held in Nice, June 29th-July 5th, 1969](https://online.neatra.in/product/symposium-on-optimization-held-in-nice-june-29th-july-5th-1969/) - [Symposium on Non-Well-Posed Problems and Logarithmic Convexity: Held in Heriot-Watt University, Edinburgh /Scotland, March 22 - 24, 1972](https://online.neatra.in/product/symposium-on-non-well-posed-problems-and-logarithmic-convexity-held-in-heriot-watt-university-edinburgh-scotland-march-22-24-1972/) - [Symposium on Automatic Demonstration: Held at Versailles/France, Decembre 1968](https://online.neatra.in/product/symposium-on-automatic-demonstration-held-at-versailles-france-decembre-1968/) - [Symposium on Algebraic Topology](https://online.neatra.in/product/symposium-on-algebraic-topology/) - [Symplectic Manifolds with no Kaehler structure](https://online.neatra.in/product/symplectic-manifolds-with-no-kaehler-structure/): This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory. In recent years, some new and stimulating conjectures and problems have been formulated due to an influx of homotopical ideas. - [Symplectic Integration of Stochastic Hamiltonian Systems](https://online.neatra.in/product/symplectic-integration-of-stochastic-hamiltonian-systems/): This book provides an accessible overview concerning the stochastic numerical methods inheriting long-time dynamical behaviours of finite and infinite-dimensional stochastic Hamiltonian systems. The long-time dynamical behaviours under study involve symplectic structure, invariants, ergodicity and invariant measure. - [Symplectic 4-Manifolds and Algebraic Surfaces: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 2-10, 2003](https://online.neatra.in/product/symplectic-4-manifolds-and-algebraic-surfaces-lectures-given-at-the-c-i-m-e-summer-school-held-in-cetraro-italy-september-2-10-2003/): Includes supplementary material: sn.pub/extras - [Symmetry Problems: The Navier–Stokes Problem](https://online.neatra.in/product/symmetry-problems-the-naviera-stokes-problem/): This book gives a necessary and sufficient condition in terms of the scattering amplitude for a scatterer to be spherically symmetric. By a scatterer we mean a potential or an obstacle. - [Symmetry Breaking for Representations of Rank One Orthogonal Groups II](https://online.neatra.in/product/symmetry-breaking-for-representations-of-rank-one-orthogonal-groups-ii/): This work provides the first classification theory of matrix-valued symmetry breaking operators from principal series representations of a reductive group to those of its subgroup. The study of symmetry breaking operators (intertwining operators for restriction) is an important and very active research area in modern representation theory, which also interacts with various fields in mathematics and theoretical physics ranging from number theory to differential geometry and quantum mechanics. - [Symmetries of Compact Riemann Surfaces](https://online.neatra.in/product/symmetries-of-compact-riemann-surfaces/): The monograph deals with topics of increasing research interest nowadays. Suitable for graduate level. Numerous results scattered across the literature are collected together. Includes supplementary material: sn.pub/extras - [Symmetries](https://online.neatra.in/product/symmetries/): Includes the derivation and classification of the 17 plane crystallographic groups (i. e. the 17 possible basic wallpaper patterns) Contains numerous exercises, most with solutions, and suggestions for background, alternative and further reading - [Symmetric Spaces and the Kashiwara-Vergne Method](https://online.neatra.in/product/symmetric-spaces-and-the-kashiwara-vergne-method/): The first introduction to the subject in a self-contained monograph Emphasizes motivations, and links with classical analysis on symmetric spaces Includes a list of open problems - [Symmetric Markov Processes](https://online.neatra.in/product/symmetric-markov-processes/) - [Symmetric Hilbert Spaces and Related Topics: Infinitely Divisible Positive Definite Functions. Continuous Products and Tensor Products. Gaussian and Poissonian Stochastic Processes](https://online.neatra.in/product/symmetric-hilbert-spaces-and-related-topics-infinitely-divisible-positive-definite-functions-continuous-products-and-tensor-products-gaussian-and-poissonian-stochastic-processes/) - [Symbolic Dynamics and Hyperbolic Groups](https://online.neatra.in/product/symbolic-dynamics-and-hyperbolic-groups/): Gromov's theory of hyperbolic groups have had a big impact in combinatorial group theory and has deep connections with many branches of mathematics suchdifferential geometry, representation theory, ergodic theory and dynamical systems. This book is an elaboration on some ideas of Gromov on hyperbolic spaces and hyperbolic groups in relation with symbolic dynamics. - [Surveys in Geometry I](https://online.neatra.in/product/surveys-in-geometry-i/): The volume consists of a set of surveys on geometry in the broad sense. The goal is to present a certain number of research topics in a non-technical and appealing manner. - [Surveys in Differential-Algebraic Equations IV](https://online.neatra.in/product/surveys-in-differential-algebraic-equations-iv/): The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs) which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. - [Surgery with Coefficients](https://online.neatra.in/product/surgery-with-coefficients/) - [Surfaces in Classical Geometries](https://online.neatra.in/product/surfaces-in-classical-geometries/): Designed for intermediate graduate studies, this text will broaden students' core knowledge of differential geometry providing foundational material to relevant topics in classical differential geometry. The method of moving frames, a natural means for discovering and proving important results, provides the basis of treatment for topics discussed. - [Surfaces and Planar Discontinuous Groups](https://online.neatra.in/product/surfaces-and-planar-discontinuous-groups/) - [Supersymmetry in Mathematics and Physics: UCLA Los Angeles, USA 2010](https://online.neatra.in/product/supersymmetry-in-mathematics-and-physics-ucla-los-angeles-usa-2010/): Supersymmetry was created by the physicists in the 1970's to give a unified treatment of fermions and bosons, the basic constituents of matter. Since then its mathematical structure has been recognized as that of a new development in geometry, and mathematicians have busied themselves with exploring this aspect. - [Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional](https://online.neatra.in/product/supergeometry-super-riemann-surfaces-and-the-superconformal-action-functional/): This book treats the two-dimensional non-linear supersymmetric sigma model or spinning string from the perspective of supergeometry. The objective is to understand its symmetries as geometric properties of super Riemann surfaces, which are particular complex super manifolds of dimension 1|1. - [Superconvergence in Galerkin Finite Element Methods](https://online.neatra.in/product/superconvergence-in-galerkin-finite-element-methods/): This book is essentially a set of lecture notes from a graduate seminar given at Cornell in Spring 1994. It treats basic mathematical theory for superconvergence in the context of second order elliptic problems. - [Sums and Gaussian Vectors](https://online.neatra.in/product/sums-and-gaussian-vectors/): Surveys the methods currently applied to study sums of infinite-dimensional independent random vectors in situations where their distributions resemble Gaussian laws. Covers probabilities of large deviations, Chebyshev-type inequalities for seminorms of sums, a method of constructing Edgeworth-type expansions, estimates of characteristic functions for random vectors obtained by smooth mappings of infinite-dimensional sums to Euclidean spaces. - [Topics in Group Theory](https://online.neatra.in/product/topics-in-group-theory/): Written by the author of introductory mathematics: Algebra and Analysis, one of SUMS' best-selling titles adopts an informal approach that has proved popular with students and lecturers alike supported by numerous fully-worked examples - [Topics in Gallai-Ramsey Theory](https://online.neatra.in/product/topics-in-gallai-ramsey-theory/): Explores Gallai-Ramsey Theory Contains strategies and technique to obtain fundamental results Features complete proofs, open problems, and detailed illustrations - [Topics in Functional Analysis](https://online.neatra.in/product/topics-in-functional-analysis/) - [Topics in Control Theory: A Seminar Given at the Forschungsinstitut für Mathematik, ETH in Zürich 1964](https://online.neatra.in/product/topics-in-control-theory-a-seminar-given-at-the-forschungsinstitut-fur-mathematik-eth-in-zurich-1964/) - [Topics in Cohomology of Groups](https://online.neatra.in/product/topics-in-cohomology-of-groups/): The book is a mostly translated reprint of a report on cohomology of groups from the 1950s and 1960s, originally written as background for the Artin-Tate notes on class field theory, following the cohomological approach. This report was first published (in French) by Benjamin. For this new English edition, the author added Tate's local duality, written up from letters which John Tate sent to Lang in 1958 - 1959. - [Topics in Calculus of Variations: Lectures given at the 2nd 1987 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, July 20-28, 1987](https://online.neatra.in/product/topics-in-calculus-of-variations-lectures-given-at-the-2nd-1987-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-at-montecatini-terme-italy-july-20-28-1987/) - [Topics in Approximation Theory](https://online.neatra.in/product/topics-in-approximation-theory/) - [Topics in Analysis: Colloquium on Mathematical Analysis, Jyväskylä 1970](https://online.neatra.in/product/topics-in-analysis-colloquium-on-mathematical-analysis-jyvaskyla-1970/) - [Topics in Algebraic and Topological K-Theory](https://online.neatra.in/product/topics-in-algebraic-and-topological-k-theory/): The approach is elementary and accessible to beginners in the subject. Helps get readers acquainted with the necessary material to begin working in major research problems of current interest. - [Topics in Algebra: Proceedings, 18th Summer Research Institute of the Australian Mathematical Society, Australian National University, Canberra, January 9 - February 17, 1978](https://online.neatra.in/product/topics-in-algebra-proceedings-18th-summer-research-institute-of-the-australian-mathematical-society-australian-national-university-canberra-january-9-february-17-1978/) - [Topics in Algebra and Analysis: Preparing for the Mathematical Olympiad](https://online.neatra.in/product/topics-in-algebra-and-analysis-preparing-for-the-mathematical-olympiad/): The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. - [Tools for Computational Finance](https://online.neatra.in/product/tools-for-computational-finance/): Computational and numerical methods are used in a number of ways across the field of finance. It is the aim of this book to explain how such methods work in financial engineering. - [Tools and Problems in Partial Differential Equations](https://online.neatra.in/product/tools-and-problems-in-partial-differential-equations/): This textbook offers a unique learning-by-doing introduction to the modern theory of partial differential equations.Through 65 fully solved problems, the book offers readers a fast but in-depth introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, and the key classical equations, such as the Laplace, Schrödinger or Navier-Stokes equations. - [Tomita-Takesaki Theory in Algebras of Unbounded Operators](https://online.neatra.in/product/tomita-takesaki-theory-in-algebras-of-unbounded-operators/): These notes are devoted to a systematic study of developing the Tomita-Takesaki theory for von Neumann algebras in unbounded operator algebras called O*-algebras and to its applications to quantum physics. The notions of standard generalized vectors and standard weights for an O*-algebra are introduced and they lead to a Tomita-Takesaki theory of modular automorphisms. - [Tomita's Theory of Modular Hilbert Algebras and its Applications](https://online.neatra.in/product/tomitas-theory-of-modular-hilbert-algebras-and-its-applications/) - [Tomita's Lectures on Observable Algebras in Hilbert Space](https://online.neatra.in/product/tomitas-lectures-on-observable-algebras-in-hilbert-space/): ?This book is devoted to the study of Tomita's observable algebras, their structure and applications. It begins by building the foundations of the theory of T*-algebras and CT*-algebras, presenting the major results and investigating the relationship between the operator and vector representations of a CT*-algebra. - [Time-Fractional Order Biological Systems with Uncertain Parameters](https://online.neatra.in/product/time-fractional-order-biological-systems-with-uncertain-parameters/): The subject of fractional calculus has gained considerable popularity and importance during the past three decades, mainly due to its validated applications in various fields of science and engineering. It is a generalization of ordinary differentiation and integration to arbitrary (non-integer) order. - [Time-Fractional Differential Equations](https://online.neatra.in/product/time-fractional-differential-equations/): This book aims to establish a foundation for fractional derivatives and fractional differential equations. The theory of fractional derivatives enables considering any positive order of differentiation. - [Time Series Models](https://online.neatra.in/product/time-series-models/): This textbook provides a self-contained presentation of the theory and models of time series analysis. Putting an emphasis on weakly stationary processes and linear dynamic models, it describes the basic concepts, ideas, methods and results in a mathematically well-founded form and includes numerous examples and exercises. - [Time in Physics](https://online.neatra.in/product/time-in-physics/): One of the most important questions concerning the foundations of physics, especially since the discovery of relativity and quantum theory, is the nature and role of time. In this book we bring together researchers from different areas of physics, mathematics, computer science and philosophy to discuss the role time plays in physics. - [Time Dependent Phase Space Filters: A Stable Absorbing Boundary Condition](https://online.neatra.in/product/time-dependent-phase-space-filters-a-stable-absorbing-boundary-condition/): This book introduces an interesting and alternative way to design absorbing boundary conditions (ABCs) for quantum wave equations, basically the nonlinear Schrödinger equation. The focus of this book is the application of the phase space filter approach to derive accurate radiation conditions for Schrödinger equations. - [Tilings of the Plane](https://online.neatra.in/product/tilings-of-the-plane/): The aim of the book is to study symmetries and tesselation, which have long interested artists and mathematicians. Famous examples are the works created by the Arabs in the Alhambra and the paintings of the Dutch painter Maurits Escher. - [Tight Polyhedral Submanifolds and Tight Triangulations](https://online.neatra.in/product/tight-polyhedral-submanifolds-and-tight-triangulations/): This volume is an introduction and a monograph about tight polyhedra. The treatment of the 2-dimensional case is self- contained and fairly elementary. - [Three-space Problems in Banach Space Theory](https://online.neatra.in/product/three-space-problems-in-banach-space-theory/): This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counter examples. - [Threatcasting](https://online.neatra.in/product/threatcasting/): Impending technological advances will widen an adversaryÂ’s attack plane over the next decade. Visualizing what the future will hold, and what new threat vectors could emerge, is a task that traditional planning mechanisms struggle to accomplish given the wide range of potential issues. - [Theta Functions on Riemann Surfaces](https://online.neatra.in/product/theta-functions-on-riemann-surfaces/) - [Thermodynamic Formalism: CIRM Jean-Morlet Chair, Fall 2019](https://online.neatra.in/product/thermodynamic-formalism-cirm-jean-morlet-chair-fall-2019/): The first book in the area of thermodynamic formalism, there are no obvious comparable books Provides insight into the current state of research Accessible to a broad range of lecturers - [Theory of Moduli: Lectures given at the 3rd 1985 Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Montecatini Terme, Italy, June 21-29, 1985](https://online.neatra.in/product/theory-of-moduli-lectures-given-at-the-3rd-1985-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-at-montecatini-terme-italy-june-21-29-1985/): The contributions making up this volume are expanded versions of the courses given at the C.I.M.E. Summer School on the Theory of Moduli. - [Theory of K-Loops](https://online.neatra.in/product/theory-of-k-loops/): Includes supplementary material: sn.pub/extras - [Theory of Infinite Sequences and Series](https://online.neatra.in/product/theory-of-infinite-sequences-and-series/): This textbook covers the majority of traditional topics of infinite sequences and series, starting from the very beginning – the definition and elementary properties of sequences of numbers, and ending with advanced results of uniform convergence and power series. - [Theory of Hopf Algebras Attached to Group Schemes](https://online.neatra.in/product/theory-of-hopf-algebras-attached-to-group-schemes/) - [Theory of Distributions](https://online.neatra.in/product/theory-of-distributions/): This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. - [Theory of Algebraic Surfaces](https://online.neatra.in/product/theory-of-algebraic-surfaces/): This is an English translation of the book in Japanese, published as the volume 20 in the series of Seminar Notes from The University of Tokyo that grew out of a course of lectures by Professor Kunihiko Kodaira in 1967. It serves as an almost self-contained introduction to the theory of complex algebraic surfaces, including concise proofs of Gorenstein's theorem for curves on a surface and Noether's formula for the arithmetic genus. - [Theory of a Higher-Order Sturm-Liouville Equation](https://online.neatra.in/product/theory-of-a-higher-order-sturm-liouville-equation/): This book develops a detailed theory of a generalized Sturm-Liouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity. Of independent interest, the higher-order Sturm-Liouville equation also proved to have important applications to differential equations with operator coefficients and elliptic boundary value problems for domains with non-smooth boundaries. - [Theory and Applications of Singular Perturbations: Proceedings of a Conference Held in Oberwolfach, August 16-22, 1981](https://online.neatra.in/product/theory-and-applications-of-singular-perturbations-proceedings-of-a-conference-held-in-oberwolfach-august-16-22-1981/) - [Theory and Applications of Graphs: Proceedings, Michigan, May 11 - 15, 1976](https://online.neatra.in/product/theory-and-applications-of-graphs-proceedings-michigan-may-11-15-1976/) - [Théories spectrales](https://online.neatra.in/product/theories-spectrales/): Les Éléments de mathématique de Nicolas BOURBAKI ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements.Le Livre de Théories spectrales est consacré à l'étude des algèbres normées et de leurs applications. - [Theories de l'information: Actes des Rencontres de Marseilles-Luminy, 5 au 7 Juin 1973](https://online.neatra.in/product/theories-de-linformation-actes-des-rencontres-de-marseilles-luminy-5-au-7-juin-1973/) - [Theorie Ergodique: Actes des Journees Ergodiques, Rennes 1973/1974](https://online.neatra.in/product/theorie-ergodique-actes-des-journees-ergodiques-rennes-1973-1974/) - [Theorie du Potentiel: Proceedings of the Colloque Jaques Deny held at Orsay, June 20-23, 1983](https://online.neatra.in/product/theorie-du-potentiel-proceedings-of-the-colloque-jaques-deny-held-at-orsay-june-20-23-1983/) - [Theorie du Potentiel et Analyse Harmonique](https://online.neatra.in/product/theorie-du-potentiel-et-analyse-harmonique/) - [The Zeroth Book of Graph Theory](https://online.neatra.in/product/the-zeroth-book-of-graph-theory/): Marking 94 years since its first appearance, this book provides an annotated translation of Sainte-Laguë's seminal monograph Les réseaux (ou graphes), drawing attention to its fundamental principles and ideas. Sainte-Laguë's 1926 monograph appeared only in French, but in the 1990s H. Gropp published a number of English papers describing several aspects of the book. - [The Wulff Crystal in Ising and Percolation Models: Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004](https://online.neatra.in/product/the-wulff-crystal-in-ising-and-percolation-models-ecole-dete-de-probabilites-de-saint-flour-xxxiv-2004/): Includes supplementary material: sn.pub/extras - [The Witt Group of Degree k Maps and Asymmetric Inner Product Spaces](https://online.neatra.in/product/the-witt-group-of-degree-k-maps-and-asymmetric-inner-product-spaces/) - [The Volume of Vector Fields on Riemannian Manifolds: Main Results and Open Problems](https://online.neatra.in/product/the-volume-of-vector-fields-on-riemannian-manifolds-main-results-and-open-problems/): This book focuses on the study of the volume of vector fields on Riemannian manifolds. Providing a thorough overview of research on vector fields defining minimal submanifolds, and on the existence and characterization of volume minimizers, it includes proofs of the most significant results obtained since the subjectÂ’s introduction in 1986. - [The Valuative Tree](https://online.neatra.in/product/the-valuative-tree/): Includes supplementary material: sn.pub/extras - [The Use of Ultraproducts in Commutative Algebra](https://online.neatra.in/product/the-use-of-ultraproducts-in-commutative-algebra/): Novel use of ultraproducts in algebra Provides a gentle introduction to tight closure in characteristic zero Contains a survey chapter on various flatness criteria Includes supplementary material: sn.pub/extras - [The Trace Formula and Base Change for GL (3)](https://online.neatra.in/product/the-trace-formula-and-base-change-for-gl-3/) - [The Topology of Uniform Convergence on Order-Bounded Sets](https://online.neatra.in/product/the-topology-of-uniform-convergence-on-order-bounded-sets/) - [The Topology of 4-Manifolds](https://online.neatra.in/product/the-topology-of-4-manifolds/): This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and spin bordism, the index theorem, Wall's diffeomorphisms and h-cobordism, and Rohlin's theorem. Most of the proofs are new or are returbishings of post proofs| all are geometric and make us of handlebody theory. - [The Theory of Near-Rings](https://online.neatra.in/product/the-theory-of-near-rings/): An introduction to near-rings with many new contributions Includes the first detailed English-language account of the theory of near-fields Presents new ideas and problems for further research - [The Theory of Lie Superalgebras: An Introduction](https://online.neatra.in/product/the-theory-of-lie-superalgebras-an-introduction/) - [The Theory of Arithmetic Functions: Proceedings of the Conference at Western Michigan University, April 29 - May 1, 1971](https://online.neatra.in/product/the-theory-of-arithmetic-functions-proceedings-of-the-conference-at-western-michigan-university-april-29-may-1-1971/) - [The Tame Fundamental Group of a Formal Neighbourhood of a Divisor with Normal Crossings on a Scheme](https://online.neatra.in/product/the-tame-fundamental-group-of-a-formal-neighbourhood-of-a-divisor-with-normal-crossings-on-a-scheme/) - [The Syntax and Semantics of Infinitary Languages](https://online.neatra.in/product/the-syntax-and-semantics-of-infinitary-languages/) - [The Structure of Nuclear Frechet Spaces](https://online.neatra.in/product/the-structure-of-nuclear-frechet-spaces/) - [The Structure of Fields](https://online.neatra.in/product/the-structure-of-fields/) - [The Structure of Attractors in Dynamical Systems: Proceedings, North Dakota State University, June 20-24, 1977](https://online.neatra.in/product/the-structure-of-attractors-in-dynamical-systems-proceedings-north-dakota-state-university-june-20-24-1977/) - [The Structure and Stability of Persistence Modules](https://online.neatra.in/product/the-structure-and-stability-of-persistence-modules/): Provides a comprehensive treatment of 1-parameter persistence modules Presents new tools for studying persistence modules in wide generality Introduces the measure-theory approach to persistence diagrams Offers a definitive treatment of the stability theorem - [The Steenrod Algebra and Its Applications: A Conference to Celebrate N. E. Steenrod's Sixtieth Birthday. Proceedings of the Conference held at the Battelle Memorial Institute, Columbus, Ohio, March 30th-April 4th, 1970](https://online.neatra.in/product/the-steenrod-algebra-and-its-applications-a-conference-to-celebrate-n-e-steenrods-sixtieth-birthday-proceedings-of-the-conference-held-at-the-battelle-memorial-institute-columbus-ohio-march-30/) - [The Spread of Almost Simple Classical Groups](https://online.neatra.in/product/the-spread-of-almost-simple-classical-groups/): This monograph studies generating sets of almost simple classical groups, by bounding the spread of these groups. Guralnick and Kantor resolved a 1962 question of Steinberg by proving that in a finite simple group, every nontrivial element belongs to a generating pair. - [The Spectrum of Hyperbolic Surfaces](https://online.neatra.in/product/the-spectrum-of-hyperbolic-surfaces/): Features profound and recent results of the spectral theory of automorphic surfaces Provides a self-contained proof of the so-called Jacquet-Langlands correspondence Includes an introduction to Lindenstrauss's ergodic theoretic proof of quantum unique ergodicity for compact arithmetic surfaces, for which he was awarded a Fields medal in 2010 Includes supplementary material: sn.pub/extras - [The Spectral Theorem](https://online.neatra.in/product/the-spectral-theorem/) - [The Space of Dynamical Systems with the C0-Topology](https://online.neatra.in/product/the-space-of-dynamical-systems-with-the-c0-topology/): This book is an introduction to main methods and principal results in the theory of Co(remark: o is upper index!!)-small perturbations of dynamical systems. It is the first comprehensive treatment of this topic. In particular, Co(upper index!)-generic properties of dynamical systems, topological stability, perturbations of attractors, limit sets of domains are discussed. - [The Souslin Problem](https://online.neatra.in/product/the-souslin-problem/) - [The semi-simple zeta function of quaternionic Shimura varieties](https://online.neatra.in/product/the-semi-simple-zeta-function-of-quaternionic-shimura-varieties/): This monograph is concerned with the Shimura variety attached to a quaternion algebra over a totally real number field. For any place of good (or moderately bad) reduction, the corresponding (semi-simple) local zeta function is expressed in terms of (semi-simple) local L-functions attached to automorphic representations. - [The Selberg-Arthur Trace Formula: Based on Lectures by James Arthur](https://online.neatra.in/product/the-selberg-arthur-trace-formula-based-on-lectures-by-james-arthur/): This book based on lectures given by James Arthur discusses the trace formula of Selberg and Arthur. The emphasis is laid on Arthur's trace formula for GL(r), with several examples in order to illustrate the basic concepts. - [The Selberg Trace Formula for PSL (2,R): Volume 2](https://online.neatra.in/product/the-selberg-trace-formula-for-psl-2r-volume-2/) - [The Selberg Trace Formula for PSL (2,R): Volume 1](https://online.neatra.in/product/the-selberg-trace-formula-for-psl-2r-volume-1/) - [The Schur Subgroup of the Brauer Group](https://online.neatra.in/product/the-schur-subgroup-of-the-brauer-group/) - [The Risk Management of Contingent Convertible (CoCo) Bonds](https://online.neatra.in/product/the-risk-management-of-contingent-convertible-coco-bonds/): Provides a primer on CoCo Bonds Gives an overview of pricing models for these hybrid instruments Describes how to risk-manage contingent convertibles using sophisticated cutting edge techniques - [The Rise and Fall of the German Combinatorial Analysis](https://online.neatra.in/product/the-rise-and-fall-of-the-german-combinatorial-analysis/): This text presents the ideas of a particular group of mathematicians of the late 18th century known as “the German combinatorial school” and its influence. The book tackles several questions concerning the emergence and historical development of the German combinatorial analysis, which was the unfinished scientific research project of that group of mathematicians. - [The Riemann Problem, Complete Integrability and Arithmetic Applications: Proceedings of a Seminar Held at the Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France and at Columbia University, NY, USA 1979-1980](https://online.neatra.in/product/the-riemann-problem-complete-integrability-and-arithmetic-applications-proceedings-of-a-seminar-held-at-the-institut-des-hautes-etudes-scientifiques-bures-sur-yvette-france-and-at-columbia-univers/) - [The Riemann Hypothesis in Characteristic p in Historical Perspective](https://online.neatra.in/product/the-riemann-hypothesis-in-characteristic-p-in-historical-perspective/): This book tells the story of the Riemann hypothesis for function fields (or curves) starting with Artin's 1921 thesis, covering Hasse's work in the 1930s on elliptic fields and more, and concluding with Weil's final proof in 1948. The main sources are letters which were exchanged among the protagonists during that time, found in various archives, mostly the University Library in Göttingen. - [The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem](https://online.neatra.in/product/the-ricci-flow-in-riemannian-geometry-a-complete-proof-of-the-differentiable-1-4-pinching-sphere-theorem/): A self contained presentation of the proof of the differentiable sphere theorem A presentation of the geometry of vector bundles in a form suitable for geometric PDE A discussion of the history of the sphere theorem and of future challenges Includes supplementary material: sn.pub/extras - [The Representation Theory of the Symmetric Groups](https://online.neatra.in/product/the-representation-theory-of-the-symmetric-groups/) - [The Relation of Cobordism to K-Theories](https://online.neatra.in/product/the-relation-of-cobordism-to-k-theories/) - [The Red Book of Varieties and Schemes: Includes the Michigan Lectures (1974) on Curves and their Jacobians](https://online.neatra.in/product/the-red-book-of-varieties-and-schemes-includes-the-michigan-lectures-1974-on-curves-and-their-jacobians/): David Mumford's first work in schemes was established in the literature as the Red Book long before it was formally published. It is still a standard, much-used reference on this subject. As a result it has been reprinted several times. This 2nd edition is augmented by another well-known, but now unavailable text of the author "Curves and their Jacobians" (62 pp) Includes supplementary material: sn.pub/extras - [The Real and the Complex: A History of Analysis in the 19th Century](https://online.neatra.in/product/the-real-and-the-complex-a-history-of-analysis-in-the-19th-century/): Introduces key ideas in real and complex analysis in the manner they were discovered Motivates and explains many related developments in neighbouring fields, including number theory, elliptic function theory, and potential theory Displays many examples illustrating the merits of rigorous analysis Includes supplementary material: sn.pub/extras - [The Principle of Least Action in Geometry and Dynamics](https://online.neatra.in/product/the-principle-of-least-action-in-geometry-and-dynamics/): Includes supplementary material: sn.pub/extras - [The Primitive Soluble Permutation Groups of Degree Less than 256](https://online.neatra.in/product/the-primitive-soluble-permutation-groups-of-degree-less-than-256/): This monograph addresses the problem of describing all primitive soluble permutation groups of a given degree, with particular reference to those degrees less than 256. The theory is presented in detail and in a new way using modern terminology. - [The Pontryagin Duality of Compact O-Dimensional Semilattices and Its Applications](https://online.neatra.in/product/the-pontryagin-duality-of-compact-o-dimensional-semilattices-and-its-applications/) - [The Partial Regularity Theory of Caffarelli, Kohn, and Nirenberg and its Sharpness](https://online.neatra.in/product/the-partial-regularity-theory-of-caffarelli-kohn-and-nirenberg-and-its-sharpness/): This monograph focuses on the partial regularity theorem, as developed by Caffarelli, Kohn, and Nirenberg (CKN), and offers a proof of the upper bound on the Hausdorff dimension of the singular set of weak solutions of the Navier-Stokes inequality, while also providing a clear and insightful presentation of SchefferÂ’s constructions showing their bound cannot be improved. - [The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods](https://online.neatra.in/product/the-numerical-solution-of-differential-algebraic-systems-by-runge-kutta-methods/): The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular implicit differential equations. Such problems arise in a variety of applications, e.g. constrained mechanical systems, fluid dynamics, chemical reaction kinetics, simulation of electrical networks, and control engineering. - [The Navier-Stokes Equations Theory and Numerical Methods: Proceedings of a Conference held at Oberwolfach, FRG, Sept. 18-24, 1988](https://online.neatra.in/product/the-navier-stokes-equations-theory-and-numerical-methods-proceedings-of-a-conference-held-at-oberwolfach-frg-sept-18-24-1988/): These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations. Additionally, 2 survey articles intended for a general readership are included: one surveys the present state of the subject via open problems, and the other deals with the interplay between theory and numerical analysis. - [The Multiplier Problem.](https://online.neatra.in/product/the-multiplier-problem/) - [The Monodromy Groups of Isolated Singularities of Complete Intersections](https://online.neatra.in/product/the-monodromy-groups-of-isolated-singularities-of-complete-intersections/) - [The Moment-Weight Inequality and the Hilbert–Mumford Criterion: GIT from the Differential Geometric Viewpoint](https://online.neatra.in/product/the-moment-weight-inequality-and-the-hilberta-mumford-criterion-git-from-the-differential-geometric-viewpoint/): Provides the first complete and thorough treatment of GIT from a differential geometric viewpoint Treats Hamiltonian group actions on general, not necessarily projective, compact Kähler manifolds Presents another route to many of the main results of Mumford's theory which will have long lasting significance - [The Minnesota Notes on Jordan Algebras and Their Applications](https://online.neatra.in/product/the-minnesota-notes-on-jordan-algebras-and-their-applications/): Includes supplementary material: sn.pub/extras - [The Metrical Theory of Jacobi-Perron Algorithm](https://online.neatra.in/product/the-metrical-theory-of-jacobi-perron-algorithm/) - [The Metric Theory of Banach Manifolds](https://online.neatra.in/product/the-metric-theory-of-banach-manifolds/) - [The Method of Intrinsic Scaling: A Systematic Approach to Regularity for Degenerate and Singular PDEs](https://online.neatra.in/product/the-method-of-intrinsic-scaling-a-systematic-approach-to-regularity-for-degenerate-and-singular-pdes/): When I started giving talks on regularity theory for degenerate and sin- lar parabolic equations, a ?xed-point in the conversation during the co?- break that usually followed the seminar was the apparent contrast between the beauty of the subject and its technical di?culty. I could not agree more on the beauty part but, most of the times, overwhelmingly failed to convince my audience that the technicalities were not all that hard to follow. - [The Method of Approximate Inverse: Theory and Applications](https://online.neatra.in/product/the-method-of-approximate-inverse-theory-and-applications/): Includes supplementary material: sn.pub/extras - [The Mathematics of Voting and Apportionment: An Introduction](https://online.neatra.in/product/the-mathematics-of-voting-and-apportionment-an-introduction/): Provides students with an accessible overview of the mathematical concepts central to voting systems Allows readers to engage with the material in a variety of ways, with chapters that can be approached in any order Includes a chapter on the mathematics of apportionment, a topic not always covered in adequate detail - [The Mathematics of Networks of Linear Systems](https://online.neatra.in/product/the-mathematics-of-networks-of-linear-systems/): Presents a systematic study that develops the functional model approach for multivariable linear systems. Provide a bridge between classical frequency response techniques and state space approaches, thereby providing a unified algebraic approach to systems with different kind of system representations. Contains many examples, exercises and notes and references that complement the main text. Book should thus be suitable for self-study, as well as courses and seminars. - [The Mathematics of Mechanobiology: Cetraro, Italy 2018](https://online.neatra.in/product/the-mathematics-of-mechanobiology-cetraro-italy-2018/): First ever book to contain modeling simulation and mathematical analysis in this field First comprehensive survey of recent seminal advances in this rapidly developing field Contains guided examples in an emerging research field Written by four leading international scientists - [The Many Facets of Graph Theory: Proceedings of the Conference held at Western Michigan University, Kalamazoo/MI., October 31 - November 2, 1968](https://online.neatra.in/product/the-many-facets-of-graph-theory-proceedings-of-the-conference-held-at-western-michigan-university-kalamazoo-mi-october-31-november-2-1968/) - [The Localization Problem in Index Theory of Elliptic Operators](https://online.neatra.in/product/the-localization-problem-in-index-theory-of-elliptic-operators/): The book is concisely and clearly written and contains numerous figures helping the reader to visualize the material The book uses simple language to explain the main ideas and avoids unnecessary technicalities without sacrificing mathematical rigor The applications described in the book include a carefully selected variety of results, old as well as new, each of which is described in a self-contained way and can be read independently Includes supplementary material: sn.pub/extras - [The Limit Shape Problem for Ensembles of Young Diagrams](https://online.neatra.in/product/the-limit-shape-problem-for-ensembles-of-young-diagrams/): This book treats ensembles of Young diagrams originating from group-theoretical contexts and investigates what statistical properties are observed there in a large-scale limit. The focus is mainly on analyzing the interesting phenomenon that specific curves appear in the appropriate scaling limit for the profiles of Young diagrams. - [The Lefschetz Properties](https://online.neatra.in/product/the-lefschetz-properties/): This is the first book on the theory of Lefschetz properties This is the first attempt to treat the theory of Lefschetz properties systematically This book shows a wide connection of the Lefschetz properties to other areas of mathematics So, Researchers from various area of mathematics should be interested in this book This book contains many open problems Some new results are contained (Some of them may appear as papers elsewhere. Some of them may not.) Includes supplementary material: sn.pub/extras - [Unstable Homotopy from the Stable Point of View](https://online.neatra.in/product/unstable-homotopy-from-the-stable-point-of-view/) - [Universal Extensions and One Dimensional Crystalline Cohomology](https://online.neatra.in/product/universal-extensions-and-one-dimensional-crystalline-cohomology/) - [Universal Algebra and Lattice Theory: Proceedings of the Fourth International Conference Held at Puebla, Mexico, 1982](https://online.neatra.in/product/universal-algebra-and-lattice-theory-proceedings-of-the-fourth-international-conference-held-at-puebla-mexico-1982/) - [Universal Algebra and Lattice Theory: Proceedings of a Conference held at Charleston, July 11-14, 1984](https://online.neatra.in/product/universal-algebra-and-lattice-theory-proceedings-of-a-conference-held-at-charleston-july-11-14-1984/) - [Univalent Functions and Teichmüller Spaces](https://online.neatra.in/product/univalent-functions-and-teichmuller-spaces/) - [Univalent Functions - Selected Topics](https://online.neatra.in/product/univalent-functions-selected-topics/) - [Uniqueness Theorems for Variational Problems by the Method of Transformation Groups](https://online.neatra.in/product/uniqueness-theorems-for-variational-problems-by-the-method-of-transformation-groups/): Includes supplementary material: sn.pub/extras - [Uniqueness of the Injective III1 Factor](https://online.neatra.in/product/uniqueness-of-the-injective-iii1-factor/): Based on lectures delivered to the Seminar on Operator Algebras at Oakland University during the Winter semesters of 1985 and 1986, these notes are a detailed exposition of recent work of A. Connes and U. Haagerup which together constitute a proof that all injective factors of type III1 which act on a separable Hilbert space are isomorphic. - [Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators](https://online.neatra.in/product/uniqueness-and-non-uniqueness-of-semigroups-generated-by-singular-diffusion-operators/): This book addresses both probabilists working on diffusion processes and analysts interested in linear parabolic partial differential equations with singular coefficients. The central question discussed is whether a given diffusion operator, i.e., a second order linear differential operator without zeroth order term, which is a priori defined on test functions over some (finite or infinite dimensional) state space only, uniquely determines a strongly continuous semigroup on a corresponding weighted Lp space. - [Unipotent Algebraic Groups](https://online.neatra.in/product/unipotent-algebraic-groups/) - [Uniform Distribution of Sequences of Integers in Residue Classes](https://online.neatra.in/product/uniform-distribution-of-sequences-of-integers-in-residue-classes/) - [Understanding Markov Chains: Examples and Applications](https://online.neatra.in/product/understanding-markov-chains-examples-and-applications/): Easily accessible to both mathematics and non-mathematics majors who are taking an introductory course on Stochastic Processes Filled with numerous exercises to test students' understanding of key concepts A gentle introduction to help students ease into later chapters, also suitable for self-study Accompanied with computer simulation codes in R and Python Request lecturer material: sn.pub/lecturer-material - [Undergraduate Algebra: A Unified Approach](https://online.neatra.in/product/undergraduate-algebra-a-unified-approach/): Provides a rigorous yet intuitive and accessible introduction to abstract algebra Treats conceptually similar themes from different areas of algebra in a unified manner Includes numerous examples and over 700 exercises - [Unbounded Weighted Composition Operators in L²-Spaces](https://online.neatra.in/product/unbounded-weighted-composition-operators-in-la%c2%b2-spaces/): This book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L²-spaces. It develops the theory in full generality, meaning that the corresponding composition operators are not assumed to be well defined. - [UlamÂ’s Conjecture on Invariance of Measure in the Hilbert Cube](https://online.neatra.in/product/ulamas-conjecture-on-invariance-of-measure-in-the-hilbert-cube/): This book discusses the process by which Ulam's conjecture is proved, aptly detailing how mathematical problems may be solved by systematically combining interdisciplinary theories. It presents the state-of-the-art of various research topics and methodologies in mathematics, and mathematical analysis by presenting the latest research in emerging research areas, providing motivation for further studies. - [Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations](https://online.neatra.in/product/two-scale-approach-to-oscillatory-singularly-perturbed-transport-equations/): This book presents the classical results of the two-scale convergence theory and explains – using several figures – why it works. It then shows how to use this theory to homogenize ordinary differential equations with oscillating coefficients as well as oscillatory singularly perturbed ordinary differential equations. - [Two-Parameter Martingales and Their Quadratic Variation](https://online.neatra.in/product/two-parameter-martingales-and-their-quadratic-variation/): This book has two-fold aims. In a first part it gives an introductory, thorough and essentially self-contained treatment of the general theory of two-parameter processes that has developed since around 1975. Apart from two survey papers by Merzbach and Meyer it is the first text of this kind. - [Twistor Theory for Riemannian Symmetric Spaces: With Applications to Harmonic Maps of Riemann Surfaces](https://online.neatra.in/product/twistor-theory-for-riemannian-symmetric-spaces-with-applications-to-harmonic-maps-of-riemann-surfaces/): In this monograph on twistor theory and its applications to harmonic map theory, a central theme is the interplay between the complex homogeneous geometry of flag manifolds and the real homogeneous geometry of symmetric spaces. In particular, flag manifolds are shown to arise as twistor spaces of Riemannian symmetric spaces. - [Twisted Teichmüller Curves](https://online.neatra.in/product/twisted-teichmuller-curves/): Contains a comprehensive introduction to the theory of Teichmüller curves Is kept as self-contained as possible Contains 15 figures and 2 tables - [Twin Buildings and Applications to S-Arithmetic Groups](https://online.neatra.in/product/twin-buildings-and-applications-to-s-arithmetic-groups/): This book is addressed to mathematicians and advanced students interested in buildings, groups and their interplay. Its first part introduces - presupposing good knowledge of ordinary buildings - the theory of twin buildings, discusses its group-theoretic background (twin BN-pairs), investigates geometric aspects of twin buildings and applies them to determine finiteness properties of certain S-arithmetic groups. - [Twenty-One Lectures on Complex Analysis: A First Course](https://online.neatra.in/product/twenty-one-lectures-on-complex-analysis-a-first-course/): Clear and rigorous exposition is supported by engaging examples and exercises Provides a means to learn complex analysis as well as subtle introduction to careful mathematical reasoning Topics purposefully apportioned into 21 lectures, providing a suitable format for either independent study or lecture-based teaching Includes supplementary material: sn.pub/extras - [Tutorials in Mathematical Biosciences IV: Evolution and Ecology](https://online.neatra.in/product/tutorials-in-mathematical-biosciences-iv-evolution-and-ecology/): This is the fourth volume in the series“Tutorials in Mathematical Biosciences. ” These lectures are based on material which was presented in tutorials or developed by visitors and postdoctoral fellows of the Mathematical B- sciences Institute (MBI), at The Ohio State University. - [Tutorials in Mathematical Biosciences III: Cell Cycle, Proliferation, and Cancer](https://online.neatra.in/product/tutorials-in-mathematical-biosciences-iii-cell-cycle-proliferation-and-cancer/): Includes supplementary material: sn.pub/extras - [Tutorials in Mathematical Biosciences II: Mathematical Modeling of Calcium Dynamics and Signal Transduction](https://online.neatra.in/product/tutorials-in-mathematical-biosciences-ii-mathematical-modeling-of-calcium-dynamics-and-signal-transduction/): This book presents a series of models in the general area of cell physiology and signal transduction, with particular attention being paid to intracellular calcium dynamics, and the role played by calcium in a variety of cell types. Calcium plays a crucial role in cell physiology, and the study of its dynamics lends insight into many different cellular processes. - [Tutorials in Mathematical Biosciences I: Mathematical Neuroscience](https://online.neatra.in/product/tutorials-in-mathematical-biosciences-i-mathematical-neuroscience/): This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. - [Turning Points in the History of Mathematics](https://online.neatra.in/product/turning-points-in-the-history-of-mathematics/): This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation. - [Turbulence Seminar: Berkeley 1976 / 77](https://online.neatra.in/product/turbulence-seminar-berkeley-1976-77/) - [Turbulence and Navier Stokes Equations: Proceedings of the Conference Held at the University of Paris-Sud, Orsay, June 12 - 13, 1975](https://online.neatra.in/product/turbulence-and-navier-stokes-equations-proceedings-of-the-conference-held-at-the-university-of-paris-sud-orsay-june-12-13-1975/) - [Tulane University Ring and Operator Theory Year, 1970-1971: Vol. 3: Lectures on the Applications of Sheaves to Ring Theory](https://online.neatra.in/product/tulane-university-ring-and-operator-theory-year-1970-1971-vol-3-lectures-on-the-applications-of-sheaves-to-ring-theory/) - [Tulane University Ring and Operator Theory Year, 1970-1971: Vol. 2: Lectures on Operator Algebras](https://online.neatra.in/product/tulane-university-ring-and-operator-theory-year-1970-1971-vol-2-lectures-on-operator-algebras/) - [Tulane University Ring and Operator Theory Year, 1970-1971: Vol. 1: Lectures on Rings and Modules](https://online.neatra.in/product/tulane-university-ring-and-operator-theory-year-1970-1971-vol-1-lectures-on-rings-and-modules/) - [Tsirelson's Space](https://online.neatra.in/product/tsirelsons-space/): This monograph provides a structure theory for the increasingly important Banach space discovered by B.S. Tsirelson. The basic construction should be accessible to graduate students of functional analysis with a knowledge of the theory of Schauder bases, while topics of a more advanced nature are presented for the specialist. - [Tropical Intraseasonal Variability and the Stochastic Skeleton Method](https://online.neatra.in/product/tropical-intraseasonal-variability-and-the-stochastic-skeleton-method/): In this text, modern applied mathematics and physical insight are used to construct the simplest and first nonlinear dynamical model for the Madden-Julian oscillation (MJO), i.e. the stochastic skeleton model. This model captures the fundamental features of the MJO and offers a theoretical prediction of its structure, leading to new detailed methods to identify it in observational data. - [Tropical Circuit Complexity: Limits of Pure Dynamic Programming](https://online.neatra.in/product/tropical-circuit-complexity-limits-of-pure-dynamic-programming/): This book presents an enticing introduction to tropical circuits and their use as a rigorous mathematical model for dynamic programming (DP), which is one of the most fundamental algorithmic paradigms for solving combinatorial, discrete optimization problems. - [Trivial Extensions of Abelian Categories: Homological Algebra of Trivial Extensions of Abelian Catergories with Applications to Ring Theory](https://online.neatra.in/product/trivial-extensions-of-abelian-categories-homological-algebra-of-trivial-extensions-of-abelian-catergories-with-applications-to-ring-theory/) - [Trivalent Discrete Surfaces and Carbon Structures](https://online.neatra.in/product/trivalent-discrete-surfaces-and-carbon-structures/): This book discusses discrete geometric analysis, especially topological crystallography and discrete surface theory for trivalent discrete surfaces. Topological crystallography, based on graph theory, provides the most symmetric structure among given combinatorial structures by using the variational principle, and it can reproduce crystal structures existing in nature. - [Transseries and Real Differential Algebra](https://online.neatra.in/product/transseries-and-real-differential-algebra/): Includes supplementary material: sn.pub/extras - [Transmission Dynamics of Tick-Borne Diseases with Co-Feeding, Developmental and Behavioural Diapause](https://online.neatra.in/product/transmission-dynamics-of-tick-borne-diseases-with-co-feeding-developmental-and-behavioural-diapause/): This monograph introduces some current developments in the modelling of the spread of tick-borne diseases. Effective modelling requires the integration of multiple frameworks. - [Translation Planes: Foundations and Construction Principles](https://online.neatra.in/product/translation-planes-foundations-and-construction-principles/): The book discusses various construction principles for translation planes and spreads from a general and unifying point of view and relates them to the theory of kinematic spaces. The book is intended for people working in the field of incidence geometry and can be read by everyone who knows the basic facts about projective and affine planes. - [Transition to Chaos in Classical and Quantum Mechanics: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, July 6 - 13, 1991](https://online.neatra.in/product/transition-to-chaos-in-classical-and-quantum-mechanics-lectures-given-at-the-3rd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-montecatini-terme-italy-july-6-13-1991/): The Session was intended to give a broad survey of the mathematical problems arising in the chaotic transition of deterministic dynamical systems, both in classical and quantum mechanics. The lectures of Mather and Forni thoroughly cover the area- preserving twist maps, and include an up-to-date version of the Aubry-Mather theory. - [Transformation Groups: Proceedings of a Conference, held in Osaka, Japan, Dec. 16-21, 1987](https://online.neatra.in/product/transformation-groups-proceedings-of-a-conference-held-in-osaka-japan-dec-16-21-1987/) - [Transformation Groups Poznan 1985: Proceedings of a Symposium held at Poznan, July 5-9, 1985](https://online.neatra.in/product/transformation-groups-poznan-1985-proceedings-of-a-symposium-held-at-poznan-july-5-9-1985/) - [Transformation Groups and Representation Theory](https://online.neatra.in/product/transformation-groups-and-representation-theory/) - [Transformation Groups and Algebraic K-Theory](https://online.neatra.in/product/transformation-groups-and-algebraic-k-theory/): The book focuses on the relation between transformation groups and algebraic K-theory. The general pattern is to assign to a geometric problem an invariant in an algebraic K-group which determines the problem. - [Transfer Operators, Endomorphisms, and Measurable Partitions](https://online.neatra.in/product/transfer-operators-endomorphisms-and-measurable-partitions/): The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the “easier” and well-documented case of automorphisms. - [Transcendental Methods in Algebraic Geometry: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), held in Cetraro, Italy, July 4-12, 1994](https://online.neatra.in/product/transcendental-methods-in-algebraic-geometry-lectures-given-at-the-3rd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-cetraro-italy-july-4-12-1994/) - [Trajectory Spaces, Generalized Functions and Unbounded Operators](https://online.neatra.in/product/trajectory-spaces-generalized-functions-and-unbounded-operators/) - [Traces of Differential Forms and Hochschild Homology](https://online.neatra.in/product/traces-of-differential-forms-and-hochschild-homology/): This monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and their relations to duality theory for projective morphisms. The approach uses Hochschild-homology, the definition of which is extended to the category of topological algebras. - [Towards an Arithmetical Logic: The Arithmetical Foundations of Logic](https://online.neatra.in/product/towards-an-arithmetical-logic-the-arithmetical-foundations-of-logic/): This book offers an original contribution to the foundations of logic and mathematics and focuses on the internal logic of mathematical theories, from arithmetic or number theory to algebraic geometry. - [Total Colourings of Graphs](https://online.neatra.in/product/total-colourings-of-graphs/): This book provides an up-to-date and rapid introduction to an important and currently active topic in graph theory. The author leads the reader to the forefront of research in this area. - [Torsion Theories, Additive Semantics, and Rings of Quotients](https://online.neatra.in/product/torsion-theories-additive-semantics-and-rings-of-quotients/) - [Toroidal Groups: Line Bundles, Cohomology and Quasi-Abelian Varieties](https://online.neatra.in/product/toroidal-groups-line-bundles-cohomology-and-quasi-abelian-varieties/): Includes supplementary material: sn.pub/extras - [Toroidal Embeddings 1](https://online.neatra.in/product/toroidal-embeddings-1/) - [Toroidal Compactification of Siegel Spaces](https://online.neatra.in/product/toroidal-compactification-of-siegel-spaces/) - [Toposes, Algebraic Geometry and Logic: Dalhousie University, Halifax, January 16-19, 1971](https://online.neatra.in/product/toposes-algebraic-geometry-and-logic-dalhousie-university-halifax-january-16-19-1971/) - [Topology: General and Algebraic Topology and Applications. Proceedings of the International Topological Conference held in Leningrad, August 23-27, 1983](https://online.neatra.in/product/topology-general-and-algebraic-topology-and-applications-proceedings-of-the-international-topological-conference-held-in-leningrad-august-23-27-1983/) - [Topology, Calculus and Approximation](https://online.neatra.in/product/topology-calculus-and-approximation/): Includes the theory of nets to study arbitrary topological spaces Illustrates the insufficiency of sequences with simple but rarely presented examples Elaborates on the historical background of most notions and results treated in this volume Includes supplementary material: sn.pub/extras - [Topology Symposium Siegen 1979: Proceedings of a Symposium Held at the University of Siegen, June 14-19, 1979](https://online.neatra.in/product/topology-symposium-siegen-1979-proceedings-of-a-symposium-held-at-the-university-of-siegen-june-14-19-1979/) - [Topology of Singular Fibers of Differentiable Maps](https://online.neatra.in/product/topology-of-singular-fibers-of-differentiable-maps/): Includes supplementary material: sn.pub/extras - [Topology of Polymers](https://online.neatra.in/product/topology-of-polymers/): Provides interactive insights from topological geometry and polymer (materials) science and technology Reveals heretofore unknown polymer properties and functions through the application of topology Presents new concepts and principles for polymer materials designs - [Topology of Low-Dimensional Manifolds: Proceedings of the Second Sussex Conference, 1977](https://online.neatra.in/product/topology-of-low-dimensional-manifolds-proceedings-of-the-second-sussex-conference-1977/) - [Topology Conference: Virginia Polytechnic Institute and State University, March 22 - 24, 1973](https://online.neatra.in/product/topology-conference-virginia-polytechnic-institute-and-state-university-march-22-24-1973/) - [Topology and Measure](https://online.neatra.in/product/topology-and-measure/) - [Topology and K-Theory: Lectures by Daniel Quillen](https://online.neatra.in/product/topology-and-k-theory-lectures-by-daniel-quillen/): Useful text for second-semester graduate student learning Algebraic Topology Useful for students or researchers at any level as a preface to Quillen's three landmark papers As a historical or sociological point, these informal notes provide a glimpse of Quillen's magnificent mind - [Topology and Geometry - Rohlin Seminar](https://online.neatra.in/product/topology-and-geometry-rohlin-seminar/): This volume is a collection of papers dedicated to the memory of V. A. Rohlin (1919-1984) - an outstanding mathematician and the founder of the Leningrad topological school. It includes survey and research papers on topology of manifolds, topological aspects of the theory of complex and real algebraic varieties, topology of projective configuration spaces and spaces of convex polytopes. - [Topology and Combinatorics of 3-Manifolds](https://online.neatra.in/product/topology-and-combinatorics-of-3-manifolds/): This book is a study of combinatorial structures of 3-mani- folds, especially Haken 3-manifolds. Specifically, it is concerned with Heegard graphs in Haken 3-manifolds, i.e., with graphs whose complements have a free fundamental group. - [Topology and Combinatorial Group Theory: Proceedings of the Fall Foliage Topology Seminars held in New Hampshire 1985-1988](https://online.neatra.in/product/topology-and-combinatorial-group-theory-proceedings-of-the-fall-foliage-topology-seminars-held-in-new-hampshire-1985-1988/): This book demonstrates the lively interaction between algebraic topology, very low dimensional topology and combinatorial group theory. Many of the ideas presented are still in their infancy, and it is hoped that the work here will spur others to new and exciting developments. - [Topologies and Uniformities](https://online.neatra.in/product/topologies-and-uniformities/): Revised edition of an already excellent text Accessible to undergraduates with detailed explanations and exercises Contains a new chapter on historical aspects - [Topologie algébrique](https://online.neatra.in/product/topologie-algebrique/): Ce livre des Éléments de mathématique est consacré à la Topologie algébrique. Les quatre premiers chapitres présentent la théorie des revêtements d'un espace topologique et du groupe de Poincaré. - [Topological, Differential and Conformal Geometry of Surfaces](https://online.neatra.in/product/topological-differential-and-conformal-geometry-of-surfaces/): Provides an introduction to the classical theory of Riemannian surfaces Includes an elementary proof of the Uniformization Theorem for compact surfaces Features numerous interesting topological, analytical and algebraic detours - [Topological Vector Spaces: The Theory Without Convexity Conditions](https://online.neatra.in/product/topological-vector-spaces-the-theory-without-convexity-conditions/) - [Topological Vector Spaces and Algebras](https://online.neatra.in/product/topological-vector-spaces-and-algebras/) - [Topological Stability of Smooth Mappings](https://online.neatra.in/product/topological-stability-of-smooth-mappings/) - [Topological Properties of Spaces of Continuous Functions](https://online.neatra.in/product/topological-properties-of-spaces-of-continuous-functions/): This book brings together into a general setting various techniques in the study of the topological properties of spaces of continuous functions. The two major classes of function space topologies studied are the set-open topologies and the uniform topologies. - [Topological Model Theory](https://online.neatra.in/product/topological-model-theory/) - [Topological Methods for Variational Problems with Symmetries](https://online.neatra.in/product/topological-methods-for-variational-problems-with-symmetries/): Symmetry has a strong impact on the number and shape of solutions to variational problems. This has been observed, for instance, in the search for periodic solutions of Hamiltonian systems or of the nonlinear wave equation| when one is interested in elliptic equations on symmetric domains or in the corresponding semiflows| and when one is looking for "special" solutions of these problems. - [Topological Methods for Ordinary Differential Equations: Lectures given at the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June 24-July 2, 1991](https://online.neatra.in/product/topological-methods-for-ordinary-differential-equations-lectures-given-at-the-1st-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-montecatini-terme-italy-june-24-july-2-1/): The volume contains the texts of four courses, given by the authors at a summer school that sought to present the state of the art in the growing field of topological methods in the theory of o.d.e. (in finite and infinitedimension), and to provide a forum for discussion of the wide variety of mathematical tools which are involved. The topics covered range from the extensions of the Lefschetz fixed point and the fixed point index on ANR's, to the theory of parity of one-parameter families of Fredholm operators, and from the theory of coincidence degree for mappings on Banach spaces to homotopy methods for continuation principles. - [Topological Fixed Point Theory and Applications: Proceedings of a Conference held at the Nankai Institute of Mathematics, Tianjin, PR China, April 5-8, 1988](https://online.neatra.in/product/topological-fixed-point-theory-and-applications-proceedings-of-a-conference-held-at-the-nankai-institute-of-mathematics-tianjin-pr-china-april-5-8-1988/): This selection of papers from the Beijing conference gives a cross-section of the current trends in the field of fixed point theory as seen by topologists and analysts. Apart from one survey article, they are all original research articles, on topics including equivariant theory, extensions of Nielsen theory, periodic orbits of discrete and continuous dynamical systems, and new invariants and techniques in topological approaches to analytic problems. - [Topological Dynamics of Enveloping Semigroups](https://online.neatra.in/product/topological-dynamics-of-enveloping-semigroups/): This book introduces the theory of enveloping semigroups—an important tool in the field of topological dynamics—introduced by Robert Ellis. The book deals with the basic theory of topological dynamics and touches on the advanced concepts of the dynamics of induced systems and their enveloping semigroups. - [Topological Dimension and Dynamical Systems](https://online.neatra.in/product/topological-dimension-and-dynamical-systems/): Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov. - [Topological Complexity of Smooth Random Functions: École d'Été de Probabilités de Saint-Flour XXXIX-2009](https://online.neatra.in/product/topological-complexity-of-smooth-random-functions-ecole-dete-de-probabilites-de-saint-flour-xxxix-2009/): The 2007 monograph has been very well received, but does not make for easy reading. The current notes, while not as exhaustive, are much more readable. As such, they provide a comparatively easy entry into a difficult, but important, area of research This is the main contribution of these notes... There are no real competitors to these notes, beyond our 2007 book. Recent reprintings of Adler's `Geometry of Random Fields' (1980) by SIAM and Vanmarke's `Random Fields: Analysis and Synthesis" (1983) are not competitors. Both are terribly out of date. Includes supplementary material: sn.pub/extras - [TOPO 72 - General Topology and its Applications: Second Pittsburgh International Conference, December 18-22, 1972](https://online.neatra.in/product/topo-72-general-topology-and-its-applications-second-pittsburgh-international-conference-december-18-22-1972/) - [Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves II](https://online.neatra.in/product/topics-surrounding-the-combinatorial-anabelian-geometry-of-hyperbolic-curves-ii/): The present monograph further develops the study, via the techniques of combinatorial anabelian geometry, of the profinite fundamental groups of configuration spaces associated to hyperbolic curves over algebraically closed fields of characteristic zero. - [Topics in Universal Algebra](https://online.neatra.in/product/topics-in-universal-algebra/) - [Topics in Topology](https://online.neatra.in/product/topics-in-topology/): The book describes some interactions of topology with other areas of mathematics and it requires only basic background. The first chapter deals with the topology of pointwise convergence and proves results of Bourgain, Fremlin, Talagrand and Rosenthal on compact sets of Baire class-1 functions. - [Topics in the Theory of Riemann Surfaces](https://online.neatra.in/product/topics-in-the-theory-of-riemann-surfaces/): The book's main concern is automorphisms of Riemann surfaces, giving a foundational treatment from the point of view of Galois coverings, and treating the problem of the largest automorphism group for a Riemann surface of a given genus. In addition, the extent to which fixed points of automorphisms are generalized Weierstrass points is considered. - [Topics in the Homology Theory of Fibre Bundles: Lectures Given at the University of Chicago, 1954](https://online.neatra.in/product/topics-in-the-homology-theory-of-fibre-bundles-lectures-given-at-the-university-of-chicago-1954/) - [Topics in Stability and Bifurcation Theory](https://online.neatra.in/product/topics-in-stability-and-bifurcation-theory/) - [Topics in Spatial Stochastic Processes: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, July 1-8, 2001](https://online.neatra.in/product/topics-in-spatial-stochastic-processes-lectures-given-at-the-c-i-m-e-summer-school-held-in-martina-franca-italy-july-1-8-2001/): Includes supplementary material: sn.pub/extras - [Topics in Set Theory: Lebesgue Measurability, Large Cardinals, Forcing Axioms, Rho-functions](https://online.neatra.in/product/topics-in-set-theory-lebesgue-measurability-large-cardinals-forcing-axioms-rho-functions/): During the Fall Semester of 1987, Stevo Todorcevic gave a series of lectures at the University of Colorado. These notes of the course, taken by the author, give a novel and fast exposition of four chapters of Set Theory. - [Topics in Orbit Equivalence](https://online.neatra.in/product/topics-in-orbit-equivalence/): Includes supplementary material: sn.pub/extras - [Topics in Numerical Analysis: Proceedings of the S.E.R.C. Summer School, Lancaster, July 19 - August 21, 1981](https://online.neatra.in/product/topics-in-numerical-analysis-proceedings-of-the-s-e-r-c-summer-school-lancaster-july-19-august-21-1981/) - [Topics in Noncommutative Algebra: The Theorem of Campbell, Baker, Hausdorff and Dynkin](https://online.neatra.in/product/topics-in-noncommutative-algebra-the-theorem-of-campbell-baker-hausdorff-and-dynkin/): A full historical treatise on the early proofs of the Theorem of Campbell, Baker, Hausdorff and Dynkin is presented here for the first time The book is completely self-contained and accessible to all audiences The book contains the proofs of all the algebraic prerequisites and can also provide a textbook for topics in non-commutative algebra Includes supplementary material: sn.pub/extras - [Topics in Nevanlinna Theory](https://online.neatra.in/product/topics-in-nevanlinna-theory/): These are notes of lectures on Nevanlinna theory, in the classical case of meromorphic functions, and the generalization by Carlson-Griffith to equidimensional holomorphic maps using as domain space finite coverings of C resp. Cn. Conjecturally best possible error terms are obtained following a method of Ahlfors and Wong. - [Topics in Multiplicative Number Theory](https://online.neatra.in/product/topics-in-multiplicative-number-theory/) - [Topics in Mathematical Fluid Mechanics: Cetraro, Italy 2010, Editors: Hugo Beirão da Veiga, Franco Flandoli](https://online.neatra.in/product/topics-in-mathematical-fluid-mechanics-cetraro-italy-2010-editors-hugo-beirao-da-veiga-franco-flandoli/): The range of theoretical fluid-mechanics problems treated here is unique in its kind The lectures are updated versions of contemporary knowledge in the field It is an outstanding introduction to research on fluids for young scientists - [Topics in Mathematical Biology](https://online.neatra.in/product/topics-in-mathematical-biology/): Written by a pioneer and expert in Mathematical Biology Analyzes the impact of quiescent phases in biology with mathematical models Presents classical mathematical biology models in detail with a focus on quiescence Casts new light on excitability of steady states, epidemic outbreaks, survival of the fittest and many more topics Holds in store many gems for the readers - [Topics in K-Theory: The Equivariant Künneth Theorem in K-Theory. Dyer-Lashof operations in K-Theory](https://online.neatra.in/product/topics-in-k-theory-the-equivariant-kunneth-theorem-in-k-theory-dyer-lashof-operations-in-k-theory/) - [Topics in Invariant Theory: Séminaire d'Algèbre Paul Dubreil et M.-P. Malliavin 1989-1990 (40éme Année)](https://online.neatra.in/product/topics-in-invariant-theory-seminaire-dalgebre-paul-dubreil-et-m-p-malliavin-1989-1990-40eme-annee/): These proceedings reflect the main activities of the Paris Séminaire d'Algèbre 1989-1990, with a series of papers in Invariant Theory, Representation Theory and Combinatorics. - [Topics in Infinitely Divisible Distributions and Lévy Processes, Revised Edition](https://online.neatra.in/product/topics-in-infinitely-divisible-distributions-and-levy-processes-revised-edition/): Includes useful notes at the end of each chapter as historical reviews and detailed information on the used sources Offers an interesting and enjoyable insight into the topics covered Presents framework of the selected topics in new approach Self-contained study on the relation of self-decomposable distributions with each of the selected topic - [Crowd Dynamics, Volume 1: Theory, Models, and Safety Problems](https://online.neatra.in/product/crowd-dynamics-volume-1-theory-models-and-safety-problems/): This volume explores the complex problems that arise in the modeling and simulation of crowd dynamics in order to present the state-of-the-art of this emerging field and contribute to future research activities. Experts in various areas apply their unique perspectives to specific aspects of crowd dynamics, covering the topic from multiple angles. These include a demonstration of how virtual reality may solve dilemmas in collecting empirical data| a detailed study on pedestrian movement in smoke-filled environments| a presentation of one-dimensional conservation laws with point constraints on the flux| a collection of new ideas on the modeling of crowd dynamics at the microscopic scale| and others. Applied mathematicians interested in crowd dynamics, pedestrian movement, traffic flow modeling, urban planning, and other topics will find this volume a valuable resource. Additionally, researchers in social psychology, architecture, and engineering may find this information relevant to their work. - [Counting Surfaces](https://online.neatra.in/product/counting-surfaces/): The problem of enumerating maps (a map is a set of polygonal 'countries' on a world of a certain topology, not necessarily the plane or the sphere) is an important problem in mathematics and physics, and it has many applications ranging from statistical physics, geometry, particle physics, telecommunications, biology, ... etc. This problem has been studied by many communities of researchers, mostly combinatorists, probabilists, and physicists. Since 1978, physicists have invented a method called 'matrix models' to address that problem, and many results have been obtained. Besides, another important problem in mathematics and physics (in particular string theory), is to count Riemann surfaces. Riemann surfaces of a given topology are parametrized by a finite number of real parameters (called moduli), and the moduli space is a finite dimensional compact manifold or orbifold of complicated topology. The number of Riemann surfaces is the volume of that moduli space. More generally, an important problem in algebraic geometry is to characterize the moduli spaces, by computing not only their volumes, but also other characteristic numbers called intersection numbers. Witten's conjecture (which was first proved by Kontsevich), was the assertion that Riemann surfaces can be obtained as limits of polygonal surfaces (maps), made of a very large number of very small polygons. In other words, the number of maps in a certain limit, should give the intersection numbers of moduli spaces. In this book, we show how that limit takes place. The goal of this book is to explain the 'matrix model' method, to show the main results obtained with it, and to compare it with methods used in combinatorics (bijective proofs, Tutte's equations), or algebraic geometry (Mirzakhani's recursions). The book intends to be self-contained and accessible to graduate students, and provides comprehensive proofs, several examples, and gives the general formula for the enumeration of maps on surfaces of any topology. In the end, the link with more general topics such as algebraic geometry, string theory, is discussed, and in particular a proof of the Witten-Kontsevich conjecture is provided. - [Continuum Thermodynamics](https://online.neatra.in/product/continuum-thermodynamics/): This book deals with an important topic in rational continuum physics, thermodynamics.Although slim, it is fairly well self-contained| some basic notions in continuum mechanics, which a well-intentioned reader should but may not be familiar with, are collected in a final appendix. Modern continuum thermodynamics is a field theory devised to handle a large class of processes that typically are neither spatially homogeneous nor sequences of equilibrium states. The most basic chapter addresses the continuum theory of heat conduction, in which the constitutive laws furnish a mathematical characterization of the macroscopic manifestations of those fluctuations in position and velocity of the microscopic matter constituents that statistical thermodynamics considers collectively. In addition to a nonstandard exposition of the conceptual steps leading to the classical heat equation, the crucial assumption that energy and entropy inflows should be proportional is discussed and a hyperbolic version of that prototypical parabolic PDE is presented. Thermomechanics comes next, a slightly more complex paradigmatic example of a field theory where microscopic and macroscopic manifestations of motion become intertwined. Finally, a virtual power format for thermomechanics is proposed, whose formulation requires that temperature is regarded formally as the time derivative of thermal displacement. It is shown that this format permits an alternative formulation of the theory of heat conduction, and a physical interpretation of the notion of thermal displacement is given.It is addressed to mathematical modelers – or mathematical modelers to be – of continuous material bodies, be they mathematicians, physicists, or mathematically versed engineers. - [Continuous Parameter Markov Processes and Stochastic Differential Equations](https://online.neatra.in/product/continuous-parameter-markov-processes-and-stochastic-differential-equations/): This graduate text presents the elegant and profound theory of continuous parameter Markov processes and many of its applications. The authors focus on developing context and intuition before formalizing the theory of each topic, illustrated with examples. After a review of some background material, the reader is introduced to semigroup theory, including the Hille–Yosida Theorem, used to construct continuous parameter Markov processes. Illustrated with examples, it is a cornerstone of Feller’s seminal theory of the most general one-dimensional diffusions studied in a later chapter. This is followed by two chapters with probabilistic constructions of jump Markov processes, and processes with independent increments, or Lévy processes. The greater part of the book is devoted to Itô’s fascinating theory of stochastic differential equations, and to the study of asymptotic properties of diffusions in all dimensions, such as explosion, transience, recurrence, existence of steady states, and the speed of convergence to equilibrium. A broadly applicable functional central limit theorem for ergodic Markov processes is presented with important examples. Intimate connections between diffusions and linear second order elliptic and parabolic partial differential equations are laid out in two chapters, and are used for computational purposes. Among Special Topics chapters, two study anomalous diffusions: one on skew Brownian motion, and the other on an intriguing multi-phase homogenization of solute transport in porous media. - [Complex Analytic Desingularization](https://online.neatra.in/product/complex-analytic-desingularization/): [From the foreword by B. Teissier] The main ideas of the proof of resolution of singularities of complex-analytic spaces presented here were developed by Heisuke Hironaka in the late 1960s and early 1970s. Since then, a number of proofs, all inspired by Hironaka's general approach, have appeared, the validity of some of them extending beyond the complex analytic case. The proof has now been so streamlined that, although it was seen 50 years ago as one of the most difficult proofs produced by mathematics, it can now be the subject of an advanced university course. Yet, far from being of historical interest only, this long-awaited book will be very rewarding for any mathematician interested in singularity theory. Rather than a proof of a canonical or algorithmic resolution of singularities, what is presented is in fact a masterly study of the infinitely near “worst” singular points of a complex analytic space obtained by successive “permissible” blowing ups and of the way to tame them using certain subspaces of the ambient space. This taming proves by an induction on the dimension that there exist finite sequences of permissible blowing ups at the end of which the worst infinitely near points have disappeared, and this is essentially enough to obtain resolution of singularities. Hironaka’s ideas for resolution of singularities appear here in a purified and geometric form, in part because of the need to overcome the globalization problems appearing in complex analytic geometry. In addition, the book contains an elegant presentation of all the prerequisites of complex analytic geometry, including basic definitions and theorems needed to follow the development of ideas and proofs. Its epilogue presents the use of similar ideas in the resolution of singularities of complex analytic foliations. This text will be particularly useful and interesting for readers of the younger generation who wish to understand one of the most fundamental results in algebraic and analytic geometry and invent possible extensions and applications of the methods created to prove it. - [Complex Analysis and Applications](https://online.neatra.in/product/complex-analysis-and-applications/): This book offers an essential textbook on complex analysis. After introducing the theory of complex analysis, it places special emphasis on the importance of Poincare theorem and Hartog’s theorem in the function theory of several complex variables. Further, it lays the groundwork for future study in analysis, linear algebra, numerical analysis, geometry, number theory, physics (including hydrodynamics and thermodynamics), and electrical engineering. To benefit most from the book, students should have some prior knowledge of complex numbers. However, the essential prerequisites are quite minimal, and include basic calculus with some knowledge of partial derivatives, definite integrals, and topics in advanced calculus such as Leibniz’s rule for differentiating under the integral sign and to some extent analysis of infinite series. The book offers a valuable asset for undergraduate and graduate students of mathematics and engineering, as well as students with no background in topological properties. - [Commutative Algebra II](https://online.neatra.in/product/commutative-algebra-ii/): Description is not available! - [Commutative Algebra I](https://online.neatra.in/product/commutative-algebra-i/): From the Preface: "We have preferred to write a self-contained book which could be used in a basic graduate course of modern algebra. It is also with an eye to the student that we have tried to give full and detailed explanations in the proofs... We have also tried, this time with an eye to both the student and the mature mathematician, to give a many-sided treatment of our topics, not hesitating to offer several proofs of one and the same result when we thought that something might be learned, as to methods, from each of the proofs." - [Combinatorics: A Problem-Based Approach](https://online.neatra.in/product/combinatorics-a-problem-based-approach/): This text provides a theoretical background for several topics in combinatorial mathematics, such as enumerative combinatorics (including partitions and Burnside's lemma), magic and Latin squares, graph theory, extremal combinatorics, mathematical games and elementary probability. A number of examples are given with explanations while the book also provides more than 300 exercises of different levels of difficulty that are arranged at the end of each chapter, and more than 130 additional challenging problems, including problems from mathematical olympiads. Solutions or hints to all exercises and problems are included. The book can be used by secondary school students preparing for mathematical competitions, by their instructors, and by undergraduate students. The book may also be useful for graduate students and for researchers that apply combinatorial methods in different areas. - [Combinatorial Set Theory of C*-algebras](https://online.neatra.in/product/combinatorial-set-theory-of-c-algebras/): This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. The interplay between logic and operator algebras (C*-algebras, in particular) is relatively young and the author is at the forefront of this interaction. The deep level of scholarship contained in these pages is evident and opens doors to operator algebraists interested in learning about the set-theoretic methods relevant to their field, as well as to set-theorists interested in expanding their view to the non-commutative realm of operator algebras. Enough background is included from both subjects to make the book a convenient, self-contained source for students. A fair number of the exercises form an integral part of the text. They are chosen to widen and deepen the material from the corresponding chapters. Some other exercises serve as a warmup for the latter chapters. - [Cohomology of Groups](https://online.neatra.in/product/cohomology-of-groups/): As a second year graduate textbook, Cohomology of Groups introduces students to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of prerequisites. No homological algebra is assumed beyond what is normally learned in a first course in algebraic topology. The basics of the subject are given (along with exercises) before the author discusses more specialized topics. - [Coding and Information Theory](https://online.neatra.in/product/coding-and-information-theory/): This book is an introduction to information and coding theory at the graduate or advanced undergraduate level. It assumes a basic knowledge of probability and modern algebra, but is otherwise self- contained. The intent is to describe as clearly as possible the fundamental issues involved in these subjects, rather than covering all aspects in an encyclopedic fashion. The first quarter of the book is devoted to information theory, including a proof of Shannon's famous Noisy Coding Theorem. The remainder of the book is devoted to coding theory and is independent of the information theory portion of the book. After a brief discussion of general families of codes, the author discusses linear codes (including the Hamming, Golary, the Reed-Muller codes), finite fields, and cyclic codes (including the BCH, Reed-Solomon, Justesen, Goppa, and Quadratic Residue codes). An appendix reviews relevant topics from modern algebra. - [Classical Analysis in the Complex Plane](https://online.neatra.in/product/classical-analysis-in-the-complex-plane/): This authoritative text presents the classical theory of functions of a single complex variable in complete mathematical and historical detail. Requiring only minimal, undergraduate-level prerequisites, it covers the fundamental areas of the subject with depth, precision, and rigor. Standard and novel proofs are explored in unusual detail, and exercises – many with helpful hints – provide ample opportunities for practice and a deeper understanding of the material. In addition to the mathematical theory, the author also explores how key ideas in complex analysis have evolved over many centuries, allowing readers to acquire an extensive view of the subject’s development. Historical notes are incorporated throughout, and a bibliography containing more than 2,000 entries provides an exhaustive list of both important and overlooked works. Classical Analysis in the Complex Plane will be a definitive reference for both graduate students and experienced mathematicians alike, as well as an exemplary resource for anyone doing scholarly work in complex analysis. The author’s expansive knowledge of and passion for the material is evident on every page, as is his desire to impart a lasting appreciation for the subject. “I can honestly say that Robert Burckel’s book has profoundly influenced my view of the subject of complex analysis. It has given me a sense of the historical flow of ideas, and has acquainted me with byways and ancillary results that I never would have encountered in the ordinary course of my work. The care exercised in each of his proofs is a model of clarity in mathematical writing…Anyone in the field should have this book on [their bookshelves] as a resource and an inspiration.”- From the Foreword by Steven G. Krantz - [Cellular Automaton Modeling of Biological Pattern Formation: Characterization, Examples, and Analysis](https://online.neatra.in/product/cellular-automaton-modeling-of-biological-pattern-formation-characterization-examples-and-analysis/): This text explores the use of cellular automata in modeling pattern formation in biological systems. It describes several mathematical modeling approaches utilizing cellular automata that can be used to study the dynamics of interacting cell systems both in simulation and in practice. New in this edition are chapters covering cell migration, tissue development, and cancer dynamics, as well as updated references and new research topic suggestions that reflect the rapid development of the field. The book begins with an introduction to pattern-forming principles in biology and the various mathematical modeling techniques that can be used to analyze them. Cellular automaton models are then discussed in detail for different types of cellular processes and interactions, including random movement, cell migration, adhesive cell interaction, alignment and cellular swarming, growth processes, pigment cell pattern formation, tissue development, tumor growth and invasion, and Turing-type patterns and excitable media. In the final chapter, the authors critically discuss possibilities and limitations of the cellular automaton approach in modeling various biological applications, along with future research directions. Suggestions for research projects are provided throughout the book to encourage additional engagement with the material, and an accompanying simulator is available for readers to perform their own simulations on several of the models covered in the text. QR codes are included within the text for easy access to the simulator. With its accessible presentation and interdisciplinary approach, Cellular Automaton Modeling of Biological Pattern Formation is suitable for graduate and advanced undergraduate students in mathematical biology, biological modeling, and biological computing. It will also be a valuable resource for researchers and practitioners in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science. PRAISE FOR THE FIRST EDITION “An ideal guide for someone with a mathematical or physical background to start exploring biological modelling. Importantly, it will also serve as an excellent guide for experienced modellers to innovate and improve their methodologies for analysing simulation results.” —Mathematical Reviews - [Cauchy's Calcul Infinitésimal: An Annotated English Translation](https://online.neatra.in/product/cauchys-calcul-infinitesimal-an-annotated-english-translation/): This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus), Résumé des leçons sur le calcul infinitésimal, "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his École Polytechnique students in Paris. Within this single text, Cauchy succinctly lays out and rigorously develops all of the topics one encounters in an introductory study of the calculus, from his classic definition of the limit to his detailed analysis of the convergence properties of infinite series. In between, the reader will find a full treatment of differential and integral calculus, including the main theorems of calculus and detailed methods of differentiating and integrating a wide variety of functions. Real, single variable calculus is the main focus of the text, but Cauchy spends ample time exploring the extension of his rigorous development to include functions of multiple variables as well as complex functions. This translation maintains the same notation and terminology of Cauchy's original work in the hope of delivering as honest and true a Cauchy experience as possible so that the modern reader can experience his work as it may have been like 200 years ago. This book can be used with advantage today by anyone interested in the history of the calculus and analysis. In addition, it will serve as a particularly valuable supplement to a traditional calculus text for those readers who desire a way to create more texture in a conventional calculus class through the introduction of original historical sources. - [Carleman Inequalities: An Introduction and More](https://online.neatra.in/product/carleman-inequalities-an-introduction-and-more/): Over the past 25 years, Carleman estimates have become an essential tool in several areas related to partial differential equations such as control theory, inverse problems, or fluid mechanics. This book provides a detailed exposition of the basic techniques of Carleman Inequalities, driven by applications to various questions of unique continuation. Beginning with an elementary introduction to the topic, including examples accessible to readers without prior knowledge of advanced mathematics, the book's first five chapters contain a thorough exposition of the most classical results, such as Calderón's and Hörmander's theorems. Later chapters explore a selection of results of the last four decades around the themes of continuation for elliptic equations, with the Jerison-Kenig estimates for strong unique continuation, counterexamples to Cauchy uniqueness of Cohen and Alinhac & Baouendi, operators with partially analytic coefficients with intermediate results between Holmgren's and Hörmander's uniqueness theorems, Wolff's modification of Carleman's method, conditional pseudo-convexity, and more. With examples and special cases motivating the general theory, as well as appendices on mathematical background, this monograph provides an accessible, self-contained basic reference on the subject, including a selection of the developments of the past thirty years in unique continuation. - [Bodies of Constant Width: An Introduction to Convex Geometry with Applications](https://online.neatra.in/product/bodies-of-constant-width-an-introduction-to-convex-geometry-with-applications/): This is the first comprehensive monograph to thoroughly investigate constant width bodies, which is a classic area of interest within convex geometry. It examines bodies of constant width from several points of view, and, in doing so, shows surprising connections between various areas of mathematics. Concise explanations and detailed proofs demonstrate the many interesting properties and applications of these bodies. Numerous instructive diagrams are provided throughout to illustrate these concepts. An introduction to convexity theory is first provided, and the basic properties of constant width bodies are then presented. Bodies of Constant Width: An Introduction to Convex Geometry with Applications will be a valuable resource for graduate and advanced undergraduate students studying convex geometry and related fields. Additionally, it will appeal to any mathematicians with a general interest in geometry. - [Automorphisms of Finite Groups](https://online.neatra.in/product/automorphisms-of-finite-groups/): The book describes developments on some well-known problems regarding the relationship between orders of finite groups and that of their automorphism groups. It is broadly divided into three parts: the first part offers an exposition of the fundamental exact sequence of Wells that relates automorphisms, derivations and cohomology of groups, along with some interesting applications of the sequence. The second part offers an account of important developments on a conjecture that a finite group has at least a prescribed number of automorphisms if the order of the group is sufficiently large. A non-abelian group of prime-power order is said to have divisibility property if its order divides that of its automorphism group. The final part of the book discusses the literature on divisibility property of groups culminating in the existence of groups without this property. Unifying various ideas developed over the years, this largely self-contained book includes results that are either proved or with complete references provided. It is aimed at researchers working in group theory, in particular, graduate students in algebra. - [Automorphic Forms and Even Unimodular Lattices](https://online.neatra.in/product/automorphic-forms-and-even-unimodular-lattices/): This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and Langlands' conjectures, ranging from the first definitions to the recent and deep classification results due to James Arthur.Its connecting thread is a question about lattices of rank 24: the problem of p-neighborhoods between Niemeier lattices. This question, whose expression is quite elementary, is in fact very natural from the automorphic point of view, and turns out to be surprisingly intriguing. We explain how the new advances in the Langlands program mentioned above pave the way for a solution. This study proves to be very rich, leading us to classical themes such as theta series, Siegel modular forms, the triality principle, L-functions and congruences between Galois representations.This monograph is intended for any mathematician with an interest in Euclidean lattices, automorphic forms or number theory. A large part of it is meant to be accessible to non-specialists. - [Arithmetic and Geometry Around Hypergeometric Functions: Lecture Notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005](https://online.neatra.in/product/arithmetic-and-geometry-around-hypergeometric-functions-lecture-notes-of-a-cimpa-summer-school-held-at-galatasaray-university-istanbul-2005/): This volume comprises the Lecture Notes of the CIMPA Summer School "Arithmetic and Geometry around Hypergeometric Functions" held at Galatasaray University, Istanbul in 2005. It contains lecture notes, a survey article, research articles, and the results of a problem session. Key topics are moduli spaces of points on P1 and Picard-Terada-Deligne-Mostow theory, moduli spaces of K3 surfaces, complex hyperbolic geometry, ball quotients, GKZ hypergeometric structures, Hilbert and Picard modular surfaces, uniformizations of complex orbifolds, algebraicity of values of Schwartz triangle functions, and Thakur's hypergeometric function. The book provides a background, gives detailed expositions and indicates new research directions. It is directed to postgraduate students and researchers. - [Analytic Partial Differential Equations](https://online.neatra.in/product/analytic-partial-differential-equations/): This book provides a coherent, self-contained introduction to central topics of Analytic Partial Differential Equations in the natural geometric setting. The main themes are the analysis in phase-space of analytic PDEs and the Fourier–Bros–Iagolnitzer (FBI) transform of distributions and hyperfunctions, with application to existence and regularity questions. The book begins by establishing the fundamental properties of analytic partial differential equations, starting with the Cauchy–Kovalevskaya theorem, before presenting an integrated overview of the approach to hyperfunctions via analytic functionals, first in Euclidean space and, once the geometric background has been laid out, on analytic manifolds. Further topics include the proof of the Lojaciewicz inequality and the division of distributions by analytic functions, a detailed description of the Frobenius and Nagano foliations, and the Hamilton–Jacobi solutions of involutive systems of eikonal equations. The reader then enters the realm of microlocal analysis, through pseudodifferential calculus, introduced at a basic level, followed by Fourier integral operators, including those with complex phase-functions (à la Sjöstrand). This culminates in an in-depth discussion of the existence and regularity of (distribution or hyperfunction) solutions of analytic differential (and later, pseudodifferential) equations of principal type, exemplifying the usefulness of all the concepts and tools previously introduced. The final three chapters touch on the possible extension of the results to systems of over- (or under-) determined systems of these equations—a cornucopia of open problems.This book provides a unified presentation of a wealth of material that was previously restricted to research articles. In contrast to existing monographs, the approach of the book is analytic rather than algebraic, and tools such as sheaf cohomology, stratification theory of analytic varieties and symplectic geometry are used sparingly and introduced as required. The first half of the book is mainly pedagogical in intent, accessible to advanced graduate students and postdocs, while the second, more specialized part is intended as a reference for researchers. - [Analysis of Pseudo-Differential Operators](https://online.neatra.in/product/analysis-of-pseudo-differential-operators/): This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus University in Sweden on August 14-18, 2017. It includes research papers presented at the session and invited papers by experts in fields that involve pseudo-differential operators.The first four chapters focus on the functional analysis of pseudo-differential operators on a spectrum of settings from Z to Rn to compact groups. Chapters 5 and 6 discuss operators on Lie groups and manifolds with edge, while the following two chapters cover topics related to probabilities. The final chapters then address topics in differential equations. - [An Introduction to Quantum and Vassiliev Knot Invariants](https://online.neatra.in/product/an-introduction-to-quantum-and-vassiliev-knot-invariants/): This book provides an accessible introduction to knot theory, focussing on Vassiliev invariants, quantum knot invariants constructed via representations of quantum groups, and how these two apparently distinct theories come together through the Kontsevich invariant. Consisting of four parts, the book opens with an introduction to the fundamentals of knot theory, and to knot invariants such as the Jones polynomial. The second part introduces quantum invariants of knots, working constructively from first principles towards the construction of Reshetikhin-Turaev invariants and a description of how these arise through Drinfeld and Jimbo's quantum groups. Its third part offers an introduction to Vassiliev invariants, providing a careful account of how chord diagrams and Jacobi diagrams arise in the theory, and the role that Lie algebras play. The final part of the book introduces the Konstevich invariant. This is a universal quantum invariant and a universal Vassiliev invariant, and brings together these two seemingly different families of knot invariants. The book provides a detailed account of the construction of the Jones polynomial via the quantum groups attached to sl(2), the Vassiliev weight system arising from sl(2), and how these invariants come together through the Kontsevich invariant. - [An Introduction to Automorphic Representations: With a view toward trace formulae](https://online.neatra.in/product/an-introduction-to-automorphic-representations-with-a-view-toward-trace-formulae/): The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program. It is designed for use as a primary text for either a semester or a year-long course, for the independent study of advanced topics, or as a reference for researchers. The reader is taken from the beginnings of the subject to the forefront of contemporary research. The journey provides an accessible gateway to one of the most fundamental areas of modern mathematics, with deep connections to arithmetic geometry, representation theory, harmonic analysis, and mathematical physics. The first part of the text is dedicated to developing the notion of automorphic representations. Next, it states a rough version of the Langlands functoriality conjecture, motivated by the description of unramified admissible representations of reductive groups over nonarchimedean local fields. The next chapters develop the theory necessary to make the Langlands functoriality conjecture precise. Thus supercuspidal representations are defined locally, cuspidal representations and Eisenstein series are defined globally, and Rankin-Selberg L-functions are defined to give a link between the global and local settings. This preparation complete, the global Langlands functoriality conjectures are stated and known cases are discussed. This is followed by a treatment of distinguished representations in global and local settings. The link between distinguished representations and geometry is explained in a chapter on the cohomology of locally symmetric spaces (in particular, Shimura varieties). The trace formula, an immensely powerful tool in the Langlands Program, is discussed in the final chapters of the book. Simple versions of the general relative trace formulae are treated for the first time in a textbook, and a wealth of related material on algebraic group actions is included. Outlines for several possible courses are provided in the Preface. - [An Excursion through Elementary Mathematics, Volume III: Discrete Mathematics and Polynomial Algebra](https://online.neatra.in/product/an-excursion-through-elementary-mathematics-volume-iii-discrete-mathematics-and-polynomial-algebra-2/): This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world. It expands on topics usually encountered in high school and could even be used as preparation for a first-semester undergraduate course. This third and last volume covers Counting, Generating Functions, Graph Theory, Number Theory, Complex Numbers, Polynomials, and much more. As part of a collection, the book differs from other publications in this field by not being a mere selection of questions or a set of tips and tricks that applies to specific problems. It starts from the most basic theoretical principles, without being either too general or too axiomatic. Examples and problems are discussed only if they are helpful as applications of the theory. Propositions are proved in detail and subsequently applied to Olympic problems or to other problems at the Olympic level. The book also explores some of the hardest problems presented at National and International Mathematics Olympiads, as well as many essential theorems related to the content. An extensive Appendix offering hints on or full solutions for all difficult problems rounds out the book. - [Amenable Banach Algebras](https://online.neatra.in/product/amenable-banach-algebras/): This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups. By encompassing important foundational material, contemporary research, and recent advancements, this monograph offers a state-of-the-art reference. It will appeal to anyone interested in questions of amenability, including those familiar with the author’s previous volume Lectures on Amenability. Cornerstone topics are covered first: namely, the theory of amenability, its historical context, and key properties of amenable groups. This introduction leads to the amenability of Banach algebras, which is the main focus of the book. Dual Banach algebras are given an in-depth exploration, as are Banach spaces, Banach homological algebra, and more. By covering amenability’s many applications, the author offers a simultaneously expansive and detailed treatment. Additionally, there are numerous exercises and notes at the end of every chapter that further elaborate on the chapter’s contents. Because it covers both the basics and cutting edge research, Amenable Banach Algebras will be indispensable to both graduate students and researchers working in functional analysis, harmonic analysis, topological groups, and Banach algebras. Instructors seeking to design an advanced course around this subject will appreciate the student-friendly elements| a prerequisite of functional analysis, abstract harmonic analysis, and Banach algebra theory is assumed. - [Algebraic Topology: An Introduction](https://online.neatra.in/product/algebraic-topology-an-introduction/): William S. Massey Professor Massey, born in Illinois in 1920, received his bachelor's degree from the University of Chicago and then served for four years in the U.S. Navy during World War II. After the War he received his Ph.D. from Princeton University and spent two additional years there as a post-doctoral research assistant. He then taught for ten years on the faculty of Brown University, and moved to his present position at Yale in 1960. He is the author of numerous research articles on algebraic topology and related topics. This book developed from lecture notes of courses taught to Yale undergraduate and graduate students over a period of several years. - [Algebraic Methods in General Rough Sets](https://online.neatra.in/product/algebraic-methods-in-general-rough-sets/): This unique collection of research papers offers a comprehensive and up-to-date guide to algebraic approaches to rough sets and reasoning with vagueness. It bridges important gaps, outlines intriguing future research directions, and connects algebraic approaches to rough sets with those for other forms of approximate reasoning. In addition, the book reworks algebraic approaches to axiomatic granularity. Given its scope, the book offers a valuable resource for researchers and teachers in the areas of rough sets and algebras of rough sets, algebraic logic, non classical logic, fuzzy sets, possibility theory, formal concept analysis, computational learning theory, category theory, and other formal approaches to vagueness and approximate reasoning. Consultants in AI and allied fields will also find the book to be of great practical value. - [Algebraic Functions and Projective Curves](https://online.neatra.in/product/algebraic-functions-and-projective-curves/): This book grew out of a set of notes for a series of lectures I orginally gave at the Center for Communications Research and then at Princeton University. The motivation was to try to understand the basic facts about algebraic curves without the modern prerequisite machinery of algebraic geometry. Of course, one might well ask if this is a good thing to do. There is no clear answer to this question. In short, we are trading off easier access to the facts against a loss of generality and an impaired understanding of some fundamental ideas. Whether or not this is a useful tradeoff is something you will have to decide for yourself. One of my objectives was to make the exposition as self-contained as possible. Given the choice between a reference and a proof, I usually chose the latter. - though I worked out many of these arguments myself, I think I can con?dently predict that few, if any, of them are novel. I also made an effort to cover some topics that seem to have been somewhat neglected in the expository literature. - [Algebraic Cycles, Sheaves, Shtukas, and Moduli: Impanga Lecture Notes](https://online.neatra.in/product/algebraic-cycles-sheaves-shtukas-and-moduli-impanga-lecture-notes/): The articles in this volume are devoted to: - moduli of coherent sheaves| - principal bundles and sheaves and their moduli| - new insights into Geometric Invariant Theory| - stacks of shtukas and their compactifications| - algebraic cycles vs. commutative algebra| - Thom polynomials of singularities| - zero schemes of sections of vector bundles. The main purpose is to give "friendly" introductions to the above topics through a series of comprehensive texts starting from a very elementary level and ending with a discussion of current research. In these texts, the reader will find classical results and methods as well as new ones. The book is addressed to researchers and graduate students in algebraic geometry, algebraic topology and singularity theory. Most of the material presented in the volume has not appeared in books before. Contributors: Jean-Marc Drézet, Tomás L. Gómez, Adrian Langer, Piotr Pragacz, Alexander H. W. Schmitt, Vasudevan Srinivas, Ngo Dac Tuan, Andrzej Weber - [Algebraic Curves](https://online.neatra.in/product/algebraic-curves/): This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algebraic curves. Over the last few decades, this notion has become central not only in algebraic geometry, but in mathematical physics, including string theory, as well.The book begins by studying individual smooth algebraic curves, including the most beautiful ones, before addressing families of curves. Studying families of algebraic curves often proves to be more efficient than studying individual curves: these families and their total spaces can still be smooth, even if there are singular curves among their members. A major discovery of the 20th century, attributed to P. Deligne and D. Mumford, was that curves with only mild singularities form smooth compact moduli spaces. An unexpected byproduct of this discovery was the realization that the analysis of more complex curve singularities is not a necessary step in understanding the geometry of the moduli spaces.The book does not use the sophisticated machinery of modern algebraic geometry, and most classical objects related to curves – such as Jacobian, space of holomorphic differentials, the Riemann-Roch theorem, and Weierstrass points – are treated at a basic level that does not require a profound command of algebraic geometry, but which is sufficient for extending them to vector bundles and other geometric objects associated to moduli spaces. Nevertheless, it offers clear information on the construction of the moduli spaces, and provides readers with tools for practical operations with this notion. Based on several lecture courses given by the authors at the Independent University of Moscow and Higher School of Economics, the book also includes a wealth of problems, making it suitable not only for individual research, but also as a textbook for undergraduate and graduate coursework - [Alfonso's Rectifying the Curved](https://online.neatra.in/product/alfonsos-rectifying-the-curved/): This volume offers a new English translation, introduction, and detailed commentary on Sefer Meyasher 'Aqov, (The Rectifying of the Curved), a 14th-century Hebrew treatise on the foundation of geometry. The book is a mixture of two genres: philosophical discussion and formal, Euclidean-type geometrical writing. A central issue is the use of motion and superposition in geometry, which is analyzed in depth through dialog with earlier Arab mathematicians. The author, Alfonso, was identified by Gita Gluskina (the editor of the 1983 Russian edition) as Alfonso of Valladolid, the converted Jew Abner of Burgos. Alfonso lived in Castile, rather far from the leading cultural centers of his time, but nonetheless at the crossroad of three cultures. He was raised in the Jewish tradition and like many Sephardic Jewish intellectuals was versed in Greek-Arabic philosophy and science. He also had connections with some Christian nobles and towards the end of his life converted to Christianity. Driven by his ambition to solve the problem of the quadrature of the circle, as well as other open geometrical problems, Alfonso acquired surprisingly wide knowledge and became familiar with several episodes in Greek and Arabic geometry that historians usually consider not to have been known in the West in the fourteenth century. Sefer Meyasher 'Aqov reflects his wide and deep erudition in mathematics and philosophy, and provides new evidence on cultural transmission around the Mediterranean. - [Africa and Mathematics: From Colonial Findings Back to the Ishango Rods](https://online.neatra.in/product/africa-and-mathematics-from-colonial-findings-back-to-the-ishango-rods/): This volume on ethnomathematics in Central Africa fills a gap in the current literature, focusing on a region rarely explored by other publications. It highlights the discovery of the Ishango rod, which was found to be the oldest mathematical tool in humanity's history, thereby shifting the origin of mathematics to the heart of Africa, and explores the different scientific hypotheses that emerged as a result. While it contains some high-level mathematics, the non-mathematical reader can easily skip these portions and enjoy the book’s survey of African history, culture, and art. - [Advances in Non-Archimedean Analysis and Applications: The p-adic Methodology in STEAM-H](https://online.neatra.in/product/advances-in-non-archimedean-analysis-and-applications-the-p-adic-methodology-in-steam-h/): This book provides a broad, interdisciplinary overview of non-Archimedean analysis and its applications. Featuring new techniques developed by leading experts in the field, it highlights the relevance and depth of this important area of mathematics, in particular its expanding reach into the physical, biological, social, and computational sciences as well as engineering and technology. In the last forty years the connections between non-Archimedean mathematics and disciplines such as physics, biology, economics and engineering, have received considerable attention. Ultrametric spaces appear naturally in models where hierarchy plays a central role – a phenomenon known as ultrametricity. In the 80s, the idea of using ultrametric spaces to describe the states of complex systems, with a natural hierarchical structure, emerged in the works of Fraunfelder, Parisi, Stein and others. A central paradigm in the physics of certain complex systems – for instance, proteins – asserts that the dynamics of such a system can be modeled as a random walk on the energy landscape of the system. To construct mathematical models, the energy landscape is approximated by an ultrametric space (a finite rooted tree), and then the dynamics of the system is modeled as a random walk on the leaves of a finite tree. In the same decade, Volovich proposed using ultrametric spaces in physical models dealing with very short distances. This conjecture has led to a large body of research in quantum field theory and string theory. In economics, the non-Archimedean utility theory uses probability measures with values in ordered non-Archimedean fields. Ultrametric spaces are also vital in classification and clustering techniques. Currently, researchers are actively investigating the following areas: p-adic dynamical systems, p-adic techniques in cryptography, p-adic reaction-diffusion equations and biological models, p-adic models in geophysics, stochastic processes in ultrametric spaces, applications of ultrametric spaces in data processing, and more. This contributed volume gathers the latest theoretical developments as well as state-of-the art applications of non-Archimedean analysis. It covers non-Archimedean and non-commutative geometry, renormalization, p-adic quantum field theory and p-adic quantum mechanics, as well as p-adic string theory and p-adic dynamics. Further topics include ultrametric bioinformation, cryptography and bioinformatics in p-adic settings, non-Archimedean spacetime, gravity and cosmology, p-adic methods in spin glasses, and non-Archimedean analysis of mental spaces. By doing so, it highlights new avenues of research in the mathematical sciences, biosciences and computational sciences. - [Advances in Mathematical Methods and High Performance Computing](https://online.neatra.in/product/advances-in-mathematical-methods-and-high-performance-computing/): This special volume of the conference will be of immense use to the researchers and academicians. In this conference, academicians, technocrats and researchers will get an opportunity to interact with eminent persons in the field of Applied Mathematics and Scientific Computing. The topics to be covered in this International Conference are comprehensive and will be adequate for developing and understanding about new developments and emerging trends in this area. High-Performance Computing (HPC) systems have gone through many changes during the past two decades in their architectural design to satisfy the increasingly large-scale scientific computing demand. Accurate, fast, and scalable performance models and simulation tools are essential for evaluating alternative architecture design decisions for the massive-scale computing systems. This conference recounts some of the influential work in modeling and simulation for HPC systems and applications, identifies some of the major challenges, and outlines future research directions which we believe are critical to the HPC modeling and simulation community. - [Additive Number Theory: Inverse Problems and the Geometry of Sumsets](https://online.neatra.in/product/additive-number-theory-inverse-problems-and-the-geometry-of-sumsets/): Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contrast, in an inverse problem, one starts with a sumset hA, and attempts to describe the structure of the underlying set A. In recent years there has been ramrkable progress in the study of inverse problems for finite sets of integers. In particular, there are important and beautiful inverse theorems due to Freiman, Kneser, Plünnecke, Vosper, and others. This volume includes their results, and culminates with an elegant proof by Ruzsa of the deep theorem of Freiman that a finite set of integers with a small sumset must be a large subset of an n-dimensional arithmetic progression. - [Actuarial Aspects of Long Term Care](https://online.neatra.in/product/actuarial-aspects-of-long-term-care/): This book proposes a review of Long-Term Care insurance| this issue is addressed both from a global point of view (through a presentation of the risk of dependence associated with the aging of the population) and an actuarial point of view (with the presentation of existing insurance products and actuarial techniques for pricing and reserving). It proposes a cross-view of American and European experiences for this risk. This book is the first dedicated entirely to long-term care insurance and aims to provide a useful reference for all actuaries facing this issue. It is intended for both professionals and academics. - [A Short Course on Spectral Theory](https://online.neatra.in/product/a-short-course-on-spectral-theory/): This book presents the basic tools of modern analysis within the context of what might be called the fundamental problem of operator theory: to calculate spectra of specific operators on infinite-dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra| the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C-algebras being three areas of current research activity that require mastery of the material presented here. The notion of spectrum of an operator is based on the more abstract notion of the spectrum of an element of a complex Banach algebra. After working out these fundamentals we turn to more concrete problems of computing spectra of operators of various types. For normal operators, this amounts to a treatment of the spectral theorem. Integral operators require 2 the development of the Riesz theory of compact operators and the ideal L of Hilbert–Schmidt operators. Toeplitz operators require several important tools| in order to calculate the spectra of Toeplitz operators with continuous symbol one needs to know the theory of Fredholm operators and index, the ? structure of the Toeplitz C-algebra and its connection with the topology of curves, and the index theorem for continuous symbols. - [A Hilbert Space Problem Book](https://online.neatra.in/product/a-hilbert-space-problem-book/): From the Preface: "This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and sometimes followed by corollaries and historical remarks... The second part, a very short one, consists of hints... The third part, the longest, consists of solutions: proofs, answers, or contructions, depending on the nature of the problem.... This is not an introduction to Hilbert space theory. Some knowledge of that subject is a prerequisite: at the very least, a study of the elements of Hilbert space theory should proceed concurrently with the reading of this book." - [A Course on Borel Sets](https://online.neatra.in/product/a-course-on-borel-sets/): A Course on Borel sets provides a thorough introduction to Borel sets and measurable selections and acts as a stepping stone to descriptive set theory by presenting important techniques such as universal sets, prewellordering, scales, etc. It is well suited for graduate students exploring areas of mathematics for their research and for mathematicians requiring Borel sets and measurable selections in their work. It contains significant applications to other branches of mathematics and can serve as a self- contained reference accessible by mathematicians in many different disciplines. It is written in an easily understandable style and employs only naive set theory, general topology, analysis, and algebra. A large number of interesting exercises are given throughout the text. - [A Course in Arithmetic](https://online.neatra.in/product/a-course-in-arithmetic/): This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses "analytic" methods (holomor­ phic functions). Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet| this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me| I extend here my gratitude to their authors. - [A Basic Course in Algebraic Topology](https://online.neatra.in/product/a-basic-course-in-algebraic-topology/): This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. The text consists of material from the first five chapters of the author's earlier book, Algebraic Topology| an Introduction (GTM 56) together with almost all of his book, Singular Homology Theory (GTM 70). The material from the two earlier books has been substantially revised, corrected, and brought up to date. - [5000 Years of Geometry: Mathematics in History and Culture](https://online.neatra.in/product/5000-years-of-geometry-mathematics-in-history-and-culture/): The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and theancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. - [3000 Years of Analysis: Mathematics in History and Culture](https://online.neatra.in/product/3000-years-of-analysis-mathematics-in-history-and-culture/): It explains in detail the origins and evolution of this important branch of mathematics, which Euler dubbed the “analysis of the infinite.” A wealth of diagrams, tables, color images and figures serve to illustrate the fascinating history of analysis from Antiquity to the present. - [(Almost) Impossible Integrals, Sums, and Series](https://online.neatra.in/product/almost-impossible-integrals-sums-and-series/): Presents new and ingenious derivations for classical and original problems Contains over 500 worked problems Includes ‘Hints’ sections to guide the reader toward obtaining a solution or to more information about a problem. - [Zeta Integrals, Schwartz Spaces and Local Functional Equations](https://online.neatra.in/product/zeta-integrals-schwartz-spaces-and-local-functional-equations/): Offers a clearly written, timely addition to the literature Provides concrete results complementing the more philosophical ideas of Sakellaridis Reviews many recent results and reformulates them in a more natural form - [Zeta Functions of Simple Algebras](https://online.neatra.in/product/zeta-functions-of-simple-algebras/) - [Zeta Functions of Groups and Rings](https://online.neatra.in/product/zeta-functions-of-groups-and-rings/): Includes supplementary material: sn.pub/extras - [Zero-Sum Discrete-Time Markov Games with Unknown Disturbance Distribution: Discounted and Average Criteria](https://online.neatra.in/product/zero-sum-discrete-time-markov-games-with-unknown-disturbance-distribution-discounted-and-average-criteria/): This SpringerBrief deals with a class of discrete-time zero-sum Markov games with Borel state and action spaces, and possibly unbounded payoffs, under discounted and average criteria, whose state process evolves according to a stochastic difference equation. - [Zeros of Sections of Power Series](https://online.neatra.in/product/zeros-of-sections-of-power-series/) - [Zero Product Determined Algebras](https://online.neatra.in/product/zero-product-determined-algebras/): Provides the first systematic account of the theory of zero product determined algebras Presents applications to various problems in algebra and functional analysis Discusses a wide variety of mathematical topics in an accessible manner - [Yetter-Drinfel'd Hopf Algebras over Groups of Prime Order](https://online.neatra.in/product/yetter-drinfeld-hopf-algebras-over-groups-of-prime-order/): Includes supplementary material: sn.pub/extras - [Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century](https://online.neatra.in/product/worlds-out-of-nothing-a-course-in-the-history-of-geometry-in-the-19th-century/): The first book to provide a course on the history of geometry in the 19th century A comprehensive resource with full background material and selections and translations from original sources Provides both an overview of the growth of a major part of mathematics and practical guidance on the teaching of the history of mathematics Won Choice Outstanding book of the year (2007) award Includes supplementary material: sn.pub/extras - [White Noise on Bialgebras](https://online.neatra.in/product/white-noise-on-bialgebras/): Stochastic processes with independent increments on a group are generalized to the concept of "white noise" on a Hopf algebra or bialgebra. The main purpose of the book is the characterization of these processes as solutions of quantum stochastic differential equations in the sense of R.L. Hudsonand K.R. Parthasarathy. - [White Noise Calculus and Fock Space](https://online.neatra.in/product/white-noise-calculus-and-fock-space/): White Noise Calculus is a distribution theory on Gaussian space, proposed by T. Hida in 1975. This approach enables us to use pointwise defined creation and annihilation operators as well as the well-established theory of nuclear space. - [What is the Genus?](https://online.neatra.in/product/what-is-the-genus/): Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. - [Well-Posed Optimization Problems](https://online.neatra.in/product/well-posed-optimization-problems/): This book presents in a unified way the mathematical theory of well-posedness in optimization. The basic concepts of well-posedness and the links among them are studied, in particular Hadamard and Tykhonov well-posedness. - [Weil's Representation and the Spectrum of the Metaplectic Group](https://online.neatra.in/product/weils-representation-and-the-spectrum-of-the-metaplectic-group/) - [Weighted Littlewood-Paley Theory and Exponential-Square Integrability](https://online.neatra.in/product/weighted-littlewood-paley-theory-and-exponential-square-integrability/): Includes supplementary material: sn.pub/extras - [Weighted Inequalities and Degenerate Elliptic Partial Differential Equations](https://online.neatra.in/product/weighted-inequalities-and-degenerate-elliptic-partial-differential-equations/) - [Weighted Hardy Spaces](https://online.neatra.in/product/weighted-hardy-spaces/): These notes give the basic ingredients of the theory of weighted Hardy spaces of tempered distribution on Rn and illustrate the techniques used. The authors consider properties of weights in a general setting| they derive mean value inequalities for wavelet transforms and introduce halfspace techniques with, for example, nontangential maximal functions and g-functions. - [Weighted Expansions for Canonical Desingularization](https://online.neatra.in/product/weighted-expansions-for-canonical-desingularization/) - [Weighted Approximation with Varying Weight](https://online.neatra.in/product/weighted-approximation-with-varying-weight/): A new construction is given for approximating a logarithmic potential by a discrete one. This yields a new approach to approximation with weighted polynomials of the form w"n"(" "= uppercase)P"n"(" "= uppercase). - [Weight Filtrations on Log Crystalline Cohomologies of Families of Open Smooth Varieties](https://online.neatra.in/product/weight-filtrations-on-log-crystalline-cohomologies-of-families-of-open-smooth-varieties/): Includes supplementary material: sn.pub/extras - [Weakly Semialgebraic Spaces](https://online.neatra.in/product/weakly-semialgebraic-spaces/): The book is the second part of an intended three-volume treatise on semialgebraic topology over an arbitrary real closed field R. In the first volume (LNM 1173) the category LSA(R) or regular paracompact locally semialgebraic spaces over R was studied. - [Weakly Compact Sets: Lectures Held at S.U.N.Y., Buffalo, in Spring 1978](https://online.neatra.in/product/weakly-compact-sets-lectures-held-at-s-u-n-y-buffalo-in-spring-1978/) - [Weak Continuity and Weak Lower Semicontinuity of Non-Linear Functionals](https://online.neatra.in/product/weak-continuity-and-weak-lower-semicontinuity-of-non-linear-functionals/) - [Waves in Continuous Media](https://online.neatra.in/product/waves-in-continuous-media/): Starting with the basic notions and facts of the mathematical theory of waves illustrated by numerous examples, exercises, and methods of solving typical problems Chapters 1 & 2 show e.g. how to recognize the hyperbolicity property, find characteristics, Riemann invariants and conservation laws for quasilinear systems of equations, construct and analyze solutions with weak or strong discontinuities, and how to investigate equations with dispersion and to construct travelling wave solutions for models reducible to nonlinear evolution equations. - [Wavelets in Functional Data Analysis](https://online.neatra.in/product/wavelets-in-functional-data-analysis/): Brings together results in wavelet functional data analysis that to date were only available in papers The only book to present functional data analysis from a wavelet point of view in a general framework Offers numerous sample coded applications for use with MATLAB Includes chapters in state-of-the-art topics like visualization of functional analysis via wavelets, optimal estimation and testing methods - [Wavelets and Singular Integrals on Curves and Surfaces](https://online.neatra.in/product/wavelets-and-singular-integrals-on-curves-and-surfaces/): Wavelets are a recently developed tool for the analysis and synthesis of functions| their simplicity, versatility and precision makes them valuable in many branches of applied mathematics. The book begins with an introduction to the theory of wavelets and limits itself to the detailed construction of various orthonormal bases of wavelets. - [Wave Phenomena: Mathematical Analysis and Numerical Approximation](https://online.neatra.in/product/wave-phenomena-mathematical-analysis-and-numerical-approximation/): This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach. The research on wave-type problems is a fascinating and emerging field in mathematical research with many challenging applications in sciences and engineering. - [Wave Packet Analysis of Feynman Path Integrals](https://online.neatra.in/product/wave-packet-analysis-of-feynman-path-integrals/): The purpose of this monograph is to offer an accessible and essentially self-contained presentation of some mathematical aspects of the Feynman path integral in non-relativistic quantum mechanics. In spite of the primary role in the advancement of modern theoretical physics and the wide range of applications, path integrals are still a source of challenging problem for mathematicians. - [Vortex Methods: Proceedings of the U.C.L.A. Workshop, held in Los Angeles, May 20-22, 1987](https://online.neatra.in/product/vortex-methods-proceedings-of-the-u-c-l-a-workshop-held-in-los-angeles-may-20-22-1987/) - [Volumes, Limits and Extensions of Analytic Varieties](https://online.neatra.in/product/volumes-limits-and-extensions-of-analytic-varieties/) - [Volume Conjecture for Knots](https://online.neatra.in/product/volume-conjecture-for-knots/): Provides a short but effective introduction to quantum invariants of knots and links Provides a short but effective introduction to the geometry of a knot complement Gives the current status of the volume conjecture - [Volterra-Stieltjes Integral Equations and Generalized Ordinary Differential Expressions](https://online.neatra.in/product/volterra-stieltjes-integral-equations-and-generalized-ordinary-differential-expressions/) - [Volterra Equations: Proceedings of the Helsinki Symposium on Integral Equations, Otaniemi, Finland, August 11-14, 1978](https://online.neatra.in/product/volterra-equations-proceedings-of-the-helsinki-symposium-on-integral-equations-otaniemi-finland-august-11-14-1978/) - [Visualizing Linear Models](https://online.neatra.in/product/visualizing-linear-models/): This book provides a visual and intuitive coverage of the core theory of linear models. Designed to develop fluency with the underlying mathematics and to build a deep understanding of the principles, it's an excellent basis for a one-semester course on statistical theory and linear modeling for intermediate undergraduates or graduate students. - [Viscosity Solutions and Applications: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Montecatini Terme, Italy, June, 12 - 20, 1995](https://online.neatra.in/product/viscosity-solutions-and-applications-lectures-given-at-the-2nd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-montecatini-terme-italy-june-12-20-1995/): The volume comprises five extended surveys on the recent theory of viscosity solutions of fully nonlinear partial differential equations, and some of its most relevant applications to optimal control theory for deterministic and stochastic systems, front propagation, geometric motions and mathematical finance. The volume forms a state-of-the-art reference on the subject of viscosity solutions, and the authors are among the most prominent specialists. - [Virtual Turning Points](https://online.neatra.in/product/virtual-turning-points/): The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations. This monograph expounds the core part of its theory together with its application to the analysis of higher order Painlevé equations of the Noumi–Yamada type and to the analysis of non-adiabatic transition probability problems in three levels. - [Victoria Symposium on Nonstandard Analysis: University of Victoria 1972](https://online.neatra.in/product/victoria-symposium-on-nonstandard-analysis-university-of-victoria-1972/) - [Vector-Valued Partial Differential Equations and Applications: Cetraro, Italy 2013](https://online.neatra.in/product/vector-valued-partial-differential-equations-and-applications-cetraro-italy-2013/): Collating different aspects of Vector-valued Partial Differential Equations and Applications, this volume is based on the 2013 CIME Course with the same name which took place at Cetraro, Italy, under the scientific direction of John Ball and Paolo Marcellini. - [Vector Space Measures and Applications II: Proceedings, Dublin 1977](https://online.neatra.in/product/vector-space-measures-and-applications-ii-proceedings-dublin-1977/) - [Vector Space Measures and Applications I: Proceedings, Dublin, 1977](https://online.neatra.in/product/vector-space-measures-and-applications-i-proceedings-dublin-1977/) - [Vector fields on Singular Varieties](https://online.neatra.in/product/vector-fields-on-singular-varieties/): Includes supplementary material: sn.pub/extras - [Vector Fields and Other Vector Bundle Morphisms - A Singularity Approach](https://online.neatra.in/product/vector-fields-and-other-vector-bundle-morphisms-a-singularity-approach/) - [Vector Calculus](https://online.neatra.in/product/vector-calculus/): Paul Matthews is a young writer with an excellent research record and teaching experience at both MIT and Nottingham - Up to date and of relevance to today's students - Full use is made of the elegant and concise suffix notation Includes supplementary material: sn.pub/extras - [Vector Bundles on Curves - New Directions: Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.), held in Cetraro (Cosenza), Italy, June 19-27, 1995](https://online.neatra.in/product/vector-bundles-on-curves-new-directions-lectures-given-at-the-3rd-session-of-the-centro-internazionale-matematico-estivo-c-i-m-e-held-in-cetraro-cosenza-italy-june-19-27-1995/): The book gives a survey of some recent developments in the theory of bundles on curves arising out of the work of Drinfeld and from insights coming from Theoretical Physics. - [Varieties of Lattices](https://online.neatra.in/product/varieties-of-lattices/): The study of lattice varieties is a field that has experienced rapid growth in the last 30 years, but many of the interesting and deep results discovered in that period have so far only appeared in research papers. The aim of this monograph is to present the main results about modular and nonmodular varieties, equational bases and the amalgamation property in a uniform way. - [Varietes Analytiques Compactes: Colloque, Nice 19.- 23. Septembre 1977](https://online.neatra.in/product/varietes-analytiques-compactes-colloque-nice-19-23-septembre-1977/) - [Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids](https://online.neatra.in/product/variational-methods-for-problems-from-plasticity-theory-and-for-generalized-newtonian-fluids/): Includes supplementary material: sn.pub/extras - [Variational Methods for Crystalline Microstructure - Analysis and Computation](https://online.neatra.in/product/variational-methods-for-crystalline-microstructure-analysis-and-computation/): Includes supplementary material: sn.pub/extras - [Variational Approach to Hyperbolic Free Boundary Problems](https://online.neatra.in/product/variational-approach-to-hyperbolic-free-boundary-problems/): This volume is devoted to the study of hyperbolic free boundary problems possessing variational structure. Such problems can be used to model, among others, oscillatory motion of a droplet on a surface or bouncing of an elastic body against a rigid obstacle. - [Variational and Monotonicity Methods in Nonsmooth Analysis](https://online.neatra.in/product/variational-and-monotonicity-methods-in-nonsmooth-analysis/): Covers the latest achievements in nonsmooth analysis, with applications in mechanics, engineering and game theory Presents a set of arguments for investigating (smooth or nonsmooth) elliptic PDEs Provides a detailed background in the appendices, making the book self-contained - [Value-Distribution of L-Functions](https://online.neatra.in/product/value-distribution-of-l-functions/): Includes supplementary material: sn.pub/extras - [Value Distribution Theory: Proceedings of the Nordic Summer School in Mathematics Held at Joensuu, Finland, June 1-12, 1981](https://online.neatra.in/product/value-distribution-theory-proceedings-of-the-nordic-summer-school-in-mathematics-held-at-joensuu-finland-june-1-12-1981/) - [Value Distribution on Parabolic Spaces](https://online.neatra.in/product/value-distribution-on-parabolic-spaces/) - [Value Distribution of Holomorphic Maps into Compact Complex Manifolds](https://online.neatra.in/product/value-distribution-of-holomorphic-maps-into-compact-complex-manifolds/) - [Valuations of Skew Fields and Projective Hjelmslev Spaces](https://online.neatra.in/product/valuations-of-skew-fields-and-projective-hjelmslev-spaces/) - [Validating RDF Data](https://online.neatra.in/product/validating-rdf-data/): RDF and Linked Data have broad applicability across many fields, from aircraft manufacturing to zoology. Requirements for detecting bad data differ across communities, fields, and tasks, but nearly all involve some form of data validation. - [Solving Problems in Mathematical Analysis, Part III: Curves and Surfaces, Conditional Extremes, Curvilinear Integrals, Complex Functions, Singularities and Fourier Series](https://online.neatra.in/product/solving-problems-in-mathematical-analysis-part-iii-curves-and-surfaces-conditional-extremes-curvilinear-integrals-complex-functions-singularities-and-fourier-series/): This textbook offers an extensive list of completely solved problems in mathematical analysis. This third of three volumes covers curves and surfaces, conditional extremes, curvilinear integrals, complex functions, singularities and Fourier series. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis. Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work. Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study. - [Solving Problems in Mathematical Analysis, Part II: Definite, Improper and Multidimensional Integrals, Functions of Several Variables and Differential Equations](https://online.neatra.in/product/solving-problems-in-mathematical-analysis-part-ii-definite-improper-and-multidimensional-integrals-functions-of-several-variables-and-differential-equations/): This textbook offers an extensive list of completely solved problems in mathematical analysis. This second of three volumes covers definite, improper and multidimensional integrals, functions of several variables, differential equations, and more. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis. Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work. Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study. - [Solving Problems in Mathematical Analysis, Part I: Sets, Functions, Limits, Derivatives, Integrals, Sequences and Series](https://online.neatra.in/product/solving-problems-in-mathematical-analysis-part-i-sets-functions-limits-derivatives-integrals-sequences-and-series/): This textbook offers an extensive list of completely solved problems in mathematical analysis. This first of three volumes covers sets, functions, limits, derivatives, integrals, sequences and series, to name a few. The series contains the material corresponding to the first three or four semesters of a course in Mathematical Analysis.Based on the author’s years of teaching experience, this work stands out by providing detailed solutions (often several pages long) to the problems. The basic premise of the book is that no topic should be left unexplained, and no question that could realistically arise while studying the solutions should remain unanswered. The style and format are straightforward and accessible. In addition, each chapter includes exercises for students to work on independently. Answers are provided to all problems, allowing students to check their work.Though chiefly intended for early undergraduate students of Mathematics, Physics and Engineering, the book will also appeal to students from other areas with an interest in Mathematical Analysis, either as supplementary reading or for independent study. - [Sobolev Maps to the Circle: From the Perspective of Analysis, Geometry, and Topology](https://online.neatra.in/product/sobolev-maps-to-the-circle-from-the-perspective-of-analysis-geometry-and-topology/): The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics. By contrast, the study of manifold-valued Sobolev maps is relatively new. The incentive to explore these spaces arose in the last forty years from geometry and physics. This monograph is the first to provide a unified, comprehensive treatment of Sobolev maps to the circle, presenting numerous results obtained by the authors and others. Many surprising connections to other areas of mathematics are explored, including the Monge-Kantorovich theory in optimal transport, items in geometric measure theory, Fourier series, and non-local functionals occurring, for example, as denoising filters in image processing. Numerous digressions provide a glimpse of the theory of sphere-valued Sobolev maps. Each chapter focuses on a single topic and starts with a detailed overview, followed by the most significant results, and rather complete proofs. The “Complements and Open Problems” sections provide short introductions to various subsequent developments or related topics, and suggest newdirections of research. Historical perspectives and a comprehensive list of references close out each chapter. Topics covered include lifting, point and line singularities, minimal connections and minimal surfaces, uniqueness spaces, factorization, density, Dirichlet problems, trace theory, and gap phenomena. Sobolev Maps to the Circle will appeal to mathematicians working in various areas, such as nonlinear analysis, PDEs, geometric analysis, minimal surfaces, optimal transport, and topology. It will also be of interest to physicists working on liquid crystals and the Ginzburg-Landau theory of superconductors. - [Singular Perturbations and Boundary Layers](https://online.neatra.in/product/singular-perturbations-and-boundary-layers/): Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations. From the physical point of view singular perturbations generate in the system under consideration thin layers located often but not always at the boundary of the domains that are called boundary layers or internal layers if the layer is located inside the domain. Important physical phenomena occur in boundary layers. The most common boundary layers appear in fluid mechanics, e.g., the flow of air around an airfoil or a whole airplane, or the flow of air around a car. Also in many instances in geophysical fluid mechanics, like the interface of air and earth, or air and ocean. This self-contained monograph is devoted to the study of certain classes of singular perturbation problems mostly related to thermic, fluid mechanics and optics and where mostly elliptic or parabolic equations in a bounded domain are considered. This bookis a fairly unique resource regarding the rigorous mathematical treatment of boundary layer problems. The explicit methodology developed in this book extends in many different directions the concept of correctors initially introduced by J. L. Lions, and in particular the lower- and higher-order error estimates of asymptotic expansions are obtained in the setting of functional analysis. The review of differential geometry and treatment of boundary layers in a curved domain is an additional strength of this book. In the context of fluid mechanics, the outstanding open problem of the vanishing viscosity limit of the Navier-Stokes equations is investigated in this book and solved for a number of particular, but physically relevant cases. This book will serve as a unique resource for those studying singular perturbations and boundary layer problems at the advanced graduate level in mathematics or applied mathematics and may be useful for practitioners in other related fields in science and engineering such as aerodynamics, fluid mechanics, geophysical fluid mechanics, acoustics and optics. - [Singular Algebraic Curves](https://online.neatra.in/product/singular-algebraic-curves/): Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry. The monograph suggests a unified approach to the geometry of singular algebraic curves on algebraic surfaces and their families, which applies to arbitrary singularities, allows one to treat all main questions concerning the geometry of equisingular families of curves, and, finally, leads to results which can be viewed as the best possible in a reasonable sense. Various methods of the cohomology vanishing theory as well as the patchworking construction with its modifications will be of a special interest for experts in algebraic geometry and singularity theory. The introductory chapters on zero-dimensional schemes and global deformation theory can well serve as a material for special courses and seminars for graduate and post-graduate students.Geometry in general plays a leading role in modern mathematics, and algebraic geometry is the most advanced area of research in geometry. In turn, algebraic curves for more than one century have been the central subject of algebraic geometry both in fundamental theoretic questions and in applications to other fields of mathematics and mathematical physics. Particularly, the local and global study of singular algebraic curves involves a variety of methods and deep ideas from geometry, analysis, algebra, combinatorics and suggests a number of hard classical and newly appeared problems which inspire further development in this research area. - [Single-Valued Neutrosophic Graphs](https://online.neatra.in/product/single-valued-neutrosophic-graphs/): This book addresses single-valued neutrosophic graphs and their applications. In addition, it introduces readers to a number of central concepts, including certain types of single-valued neutrosophic graphs, energy of single-valued neutrosophic graphs, bipolar single-valued neutrosophic planar graphs, isomorphism of intuitionistic single-valued neutrosophic soft graphs, and single-valued neutrosophic soft rough graphs. Divided into eight chapters, the book seeks to remedy the lack of a mathematical approach to indeterminate and inconsistent information. Chap. 1 presents a concise review of single-valued neutrosophic sets, while Chap. 2 explains the notion of neutrosophic graph structures and explores selected properties of neutrosophic graph structures. Chap. 3 discusses specific bipolar neutrosophic graphs. Chap. 4 highlights the concept of interval-valued neutrosophic graphs, while Chap. 5 presents certain notions concerning interval-valued neutrosophic graph structures. Chap. 6 addresses the concepts of rough neutrosophic digraphs and neutrosophic rough digraphs. Chap. 7 focuses on the concepts of neutrosophic soft graphs and intuitionistic neutrosophic soft graphs, before Chap. 8 rounds out the book by considering neutrosophic soft rough graphs. - [Simplicial Methods for Higher Categories](https://online.neatra.in/product/simplicial-methods-for-higher-categories/): This monograph presents a new model of mathematical structures called weak n-categories. These structures find their motivation in a wide range of fields, from algebraic topology to mathematical physics, algebraic geometry and mathematical logic. While strict n-categories are easily defined in terms associative and unital composition operations they are of limited use in applications, which often call for weakened variants of these laws. The author proposes a new approach to this weakening, whose generality arises not from a weakening of such laws but from the very geometric structure of its cells| a geometry dubbed weak globularity. The new model, called weakly globular n-fold categories, is one of the simplest known algebraic structures yielding a model of weak n-categories. The central result is the equivalence of this model to one of the existing models, due to Tamsamani and further studied by Simpson. This theory has intended applications to homotopy theory, mathematical physics and to long-standing open questions in category theory. As the theory is described in elementary terms and the book is largely self-contained, it is accessible to beginning graduate students and to mathematicians from a wide range of disciplines well beyond higher category theory. The new model makes a transparent connection between higher category theory and homotopy theory, rendering it particularly suitable for category theorists and algebraic topologists. Although the results are complex, readers are guided with an intuitive explanation before each concept is introduced, and with diagrams showing the interconnections between the main ideas and results. - [Simplicial and Dendroidal Homotopy Theory](https://online.neatra.in/product/simplicial-and-dendroidal-homotopy-theory/): This open access book offers a self-contained introduction to the homotopy theory of simplicial and dendroidal sets and spaces. These are essential for the study of categories, operads, and algebraic structure up to coherent homotopy. The dendroidal theory combines the combinatorics of trees with the theory of Quillen model categories. Dendroidal sets are a natural generalization of simplicial sets from the point of view of operads. In this book, the simplicial approach to higher category theory is generalized to a dendroidal approach to higher operad theory. This dendroidal theory of higher operads is carefully developed in this book. The book also provides an original account of the more established simplicial approach to infinity-categories, which is developed in parallel to the dendroidal theory to emphasize the similarities and differences. Simplicial and Dendroidal Homotopy Theory is a complete introduction, carefully written with the beginning researcher in mind and ideally suited for seminars and courses. It can also be used as a standalone introduction to simplicial homotopy theory and to the theory of infinity-categories, or a standalone introduction to the theory of Quillen model categories and Bousfield localization. - [Shapes and Diffeomorphisms](https://online.neatra.in/product/shapes-and-diffeomorphisms/): This book covers mathematical foundations and methods for the computerized analysis of shapes, providing the requisite background in geometry and functional analysis and introducing various algorithms and approaches to shape modeling, with a special focus on the interesting connections between shapes and their transformations by diffeomorphisms. A direct application is to computational anatomy, for which techniques such as large‒deformation diffeomorphic metric mapping and metamorphosis, among others, are presented. The appendices detail a series of classical topics (Hilbert spaces, differential equations, Riemannian manifolds, optimal control).The intended audience is applied mathematicians and mathematically inclined engineers interested in the topic of shape analysis and its possible applications in computer vision or medical imaging. The first part can be used for an advanced undergraduate course on differential geometry with a focus on applications while the later chapters are suitable for a graduate course on shape analysis through the action of diffeomorphisms. Several significant additions appear in the 2nd edition, most notably a new chapter on shape datasets, and a discussion of optimal control theory in an infinite-dimensional framework, which is then used to enrich the presentation of diffeomorphic matching. - [Riemannian Manifolds: An Introduction to Curvature](https://online.neatra.in/product/riemannian-manifolds-an-introduction-to-curvature/): This book is designed as a textbook for a one-quarter or one-semester graduate course on Riemannian geometry, for students who are familiar with topological and differentiable manifolds. It focuses on developing an intimate acquaintance with the geometric meaning of curvature. In so doing, it introduces and demonstrates the uses of all the main technical tools needed for a careful study of Riemannian manifolds. The author has selected a set of topics that can reasonably be covered in ten to fifteen weeks, instead of making any attempt to provide an encyclopedic treatment of the subject. The book begins with a careful treatment of the machinery of metrics, connections, and geodesics,without which one cannot claim to be doing Riemannian geometry. It then introduces the Riemann curvature tensor, and quickly moves on to submanifold theory in order to give the curvature tensor a concrete quantitative interpretation. From then on, all efforts are bent toward proving the four most fundamental theorems relating curvature and topology: the Gauss–Bonnet theorem (expressing the total curvature of a surface in term so fits topological type), the Cartan–Hadamard theorem (restricting the topology of manifolds of nonpositive curvature), Bonnet’s theorem (giving analogous restrictions on manifolds of strictly positive curvature), and a special case of the Cartan–Ambrose–Hicks theorem (characterizing manifolds of constant curvature). Many other results and techniques might reasonably claim a place in an introductory Riemannian geometry course, but could not be included due to time constraints. - [Research in Data Science](https://online.neatra.in/product/research-in-data-science/): This edited volume on data science features a variety of research ranging from theoretical to applied and computational topics. Aiming to establish the important connection between mathematics and data science, this book addresses cutting edge problems in predictive modeling, multi-scale representation and feature selection, statistical and topological learning, and related areas. Contributions study topics such as the hubness phenomenon in high-dimensional spaces, the use of a heuristic framework for testing the multi-manifold hypothesis for high-dimensional data, the investigation of interdisciplinary approaches to multi-dimensional obstructive sleep apnea patient data, and the inference of a dyadic measure and its simplicial geometry from binary feature data. Based on the first Women in Data Science and Mathematics (WiSDM) Research Collaboration Workshop that took place in 2017 at the Institute for Compuational and Experimental Research in Mathematics (ICERM) in Providence, Rhode Island, this volume features submissions from several of the working groups as well as contributions from the wider community. The volume is suitable for researchers in data science in industry and academia. - [Representations of Reductive p-adic Groups](https://online.neatra.in/product/representations-of-reductive-p-adic-groups/): This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her collaborators, and their current status. It also features an extensive account by Colin Bushnell of his work with Henniart on the fine structure of the local Langlands correspondence for general linear groups, beginning with a clear overview of Bushnell–Kutzko’s construction of cuspidal types for such groups. The remaining papers touch on a range of topics in this active area of modern mathematics: group actions on root data, explicit character formulas, classification of discrete series representations, unicity of types, local converse theorems, completions of Hecke algebras, p-adic symmetric spaces. All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike. - [Recent Trends in Algebraic Combinatorics](https://online.neatra.in/product/recent-trends-in-algebraic-combinatorics/): This edited volume features a curated selection of research in algebraic combinatorics that explores the boundaries of current knowledge in the field. Focusing on topics experiencing broad interest and rapid growth, invited contributors offer survey articles on representation theory, symmetric functions, invariant theory, and the combinatorics of Young tableaux. The volume also addresses subjects at the intersection of algebra, combinatorics, and geometry, including the study of polytopes, lattice points, hyperplane arrangements, crystal graphs, and Grassmannians. All surveys are written at an introductory level that emphasizes recent developments and open problems. An interactive tutorial on Schubert Calculus emphasizes the geometric and topological aspects of the topic and is suitable for combinatorialists as well as geometrically minded researchers seeking to gain familiarity with relevant combinatorial tools.Featured authors include prominent women in the field known for their exceptional writing of deep mathematics in an accessible manner. Each article in this volume was reviewed independently by two referees. The volume is suitable for graduate students and researchers interested in algebraic combinatorics. - [Recent Advances in Differential Equations and Applications](https://online.neatra.in/product/recent-advances-in-differential-equations-and-applications/): This work gathers a selection of outstanding papers presented at the 25th Conference on Differential Equations and Applications / 15th Conference on Applied Mathematics, held in Cartagena, Spain, in June 2017. It supports further research into both ordinary and partial differential equations, numerical analysis, dynamical systems, control and optimization, trending topics in numerical linear algebra, and the applications of mathematics to industry. The book includes 14 peer-reviewed contributions and mainly addresses researchers interested in the applications of mathematics, especially in science and engineering. It will also greatly benefit PhD students in applied mathematics, engineering and physics. - [Real and Complex Analysis: Volume 2](https://online.neatra.in/product/real-and-complex-analysis-volume-2/): This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into three chapters, it discusses exponential and measurable functions, Riesz representation theorem, Borel and Lebesgue measure, -spaces, Riesz–Fischer theorem, Vitali–Caratheodory theorem, the Fubini theorem, and Fourier transforms. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which arethe work of great mathematicians of the 19th and 20th centuries. - [Real and Complex Analysis: Volume 1](https://online.neatra.in/product/real-and-complex-analysis-volume-1/): This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into three chapters, it discusses exponential and measurable functions, Riesz representation theorem, Borel and Lebesgue measure, -spaces, Riesz–Fischer theorem, Vitali–Caratheodory theorem, the Fubini theorem, and Fourier transforms. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which arethe work of great mathematicians of the 19th and 20th centuries. - [Random Walks on Infinite Groups](https://online.neatra.in/product/random-walks-on-infinite-groups/): This text presents the basic theory of random walks on infinite, finitely generated groups, along with certain background material in measure-theoretic probability. The main objective is to show how structural features of a group, such as amenability/nonamenability, affect qualitative aspects of symmetric random walks on the group, such as transience/recurrence, speed, entropy, and existence or nonexistence of nonconstant, bounded harmonic functions. The book will be suitable as a textbook for beginning graduate-level courses or independent study by graduate students and advanced undergraduate students in mathematics with a solid grounding in measure theory and a basic familiarity with the elements of group theory. The first seven chapters could also be used as the basis for a short course covering the main results regarding transience/recurrence, decay of return probabilities, and speed. The book has been organized and written so as to be accessible not only to students in probability theory, but also to students whose primary interests are in geometry, ergodic theory, or geometric group theory. - [Random Walk, Brownian Motion, and Martingales](https://online.neatra.in/product/random-walk-brownian-motion-and-martingales/): This textbook offers an approachable introduction to stochastic processes that explores the four pillars of random walk, branching processes, Brownian motion, and martingales. Building from simple examples, the authors focus on developing context and intuition before formalizing the theory of each topic. This inviting approach illuminates the key ideas and computations in the proofs, forming an ideal basis for further study. Consisting of many short chapters, the book begins with a comprehensive account of the simple random walk in one dimension. From here, different paths may be chosen according to interest. Themes span Poisson processes, branching processes, the Kolmogorov–Chentsov theorem, martingales, renewal theory, and Brownian motion. Special topics follow, showcasing a selection of important contemporary applications, including mathematical finance, optimal stopping, ruin theory, branching random walk, and equations of fluids. Engaging exercises accompany the theory throughout. Random Walk, Brownian Motion, and Martingales is an ideal introduction to the rigorous study of stochastic processes. Students and instructors alike will appreciate the accessible, example-driven approach. A single, graduate-level course in probability is assumed. - [Quantum Computation and Logic: How Quantum Computers Have Inspired Logical Investigations](https://online.neatra.in/product/quantum-computation-and-logic-how-quantum-computers-have-inspired-logical-investigations/): This book provides a general survey of the main concepts, questions and results that have been developed in the recent interactions between quantum information, quantum computation and logic. Divided into 10 chapters, the books starts with an introduction of the main concepts of the quantum-theoretic formalism used in quantum information. It then gives a synthetic presentation of the main “mathematical characters” of the quantum computational game: qubits, quregisters, mixtures of quregisters, quantum logical gates. Next, the book investigates the puzzling entanglement-phenomena and logically analyses the Einstein–Podolsky–Rosen paradox and introduces the reader to quantum computational logics, and new forms of quantum logic. The middle chapters investigate the possibility of a quantum computational semantics for a language that can express sentences like “Alice knows that everybody knows that she is pretty”, explore the mathematical concept of quantum Turing machine, and illustrate some characteristic examples that arise in the framework of musical languages. The book concludes with an analysis of recent discussions, and contains a Mathematical Appendix which is a survey of the definitions of all main mathematical concepts used in the book. - [Quantitative Stochastic Homogenization and Large-Scale Regularity](https://online.neatra.in/product/quantitative-stochastic-homogenization-and-large-scale-regularity/): The focus of this book is the large-scale statistical behavior of solutions of divergence-form elliptic equations with random coefficients, which is closely related to the long-time asymptotics of reversible diffusions in random media and other basic models of statistical physics. Of particular interest is the quantification of the rate at which solutions converge to those of the limiting, homogenized equation in the regime of large scale separation, and the description of their fluctuations around this limit. This self-contained presentation gives a complete account of the essential ideas and fundamental results of this new theory of quantitative stochastic homogenization, including the latest research on the topic, and is supplemented with many new results. The book serves as an introduction to the subject for advanced graduate students and researchers working in partial differential equations, statistical physics, probability and related fields, as well as a comprehensive reference for experts in homogenization. Being the first text concerned primarily with stochastic (as opposed to periodic) homogenization and which focuses on quantitative results, its perspective and approach are entirely different from other books in the literature. - [Quadratic Forms](https://online.neatra.in/product/quadratic-forms/): This monograph presents combinatorial and numerical issues on integral quadratic forms as originally obtained in the context of representation theory of algebras and derived categories. Some of these beautiful results remain practically unknown to students and scholars, and are scattered in papers written between 1970 and the present day. Besides the many classical results, the book also encompasses a few new results and generalizations. The material presented will appeal to a wide group of researchers (in representation theory of algebras, Lie theory, number theory and graph theory) and, due to its accessible nature and the many exercises provided, also to undergraduate and graduate students with a solid foundation in linear algebra and some familiarity on graph theory. - [Programming for Computations - Python: A Gentle Introduction to Numerical Simulations with Python 3.6](https://online.neatra.in/product/programming-for-computations-python-a-gentle-introduction-to-numerical-simulations-with-python-3-6/): This book is published open access under a CC BY 4.0 license. This book presents computer programming as a key method for solving mathematical problems. This second edition of the well-received book has been extensively revised: All code is now written in Python version 3.6 (no longer version 2.7). In addition, the two first chapters of the previous edition have been extended and split up into five new chapters, thus expanding the introduction to programming from 50 to 150 pages. Throughout the book, the explanations provided are now more detailed, previous examples have been modified, and new sections, examples and exercises have been added. Also, a number of small errors have been corrected. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style employed is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows students to write simple programs for solving common mathematical problems with numerical methods in the context of engineering and science courses. The emphasis is on generic algorithms, clean program design, the use of functions, and automatic tests for verification. - [Problems on Partial Differential Equations](https://online.neatra.in/product/problems-on-partial-differential-equations/): This book covers a diverse range of topics in Mathematical Physics, linear and nonlinear PDEs. Though the text reflects the classical theory, the main emphasis is on introducing readers to the latest developments based on the notions of weak solutions and Sobolev spaces. In numerous problems, the student is asked to prove a given statement, e.g. to show the existence of a solution to a certain PDE. Usually there is no closed-formula answer available, which is why there is no answer section, although helpful hints are often provided. This textbook offers a valuable asset for students and educators alike. As it adopts a perspective on PDEs that is neither too theoretical nor too practical, it represents the perfect companion to a broad spectrum of courses. - [Positivity and Noncommutative Analysis](https://online.neatra.in/product/positivity-and-noncommutative-analysis/): Capturing the state of the art of the interplay between positivity, noncommutative analysis, and related areas including partial differential equations, harmonic analysis, and operator theory, this volume was initiated on the occasion of the Delft conference in honour of Ben de Pagter's 65th birthday. It will be of interest to researchers in positivity, noncommutative analysis, and related fields. Contributions by Shavkat Ayupov, Amine Ben Amor, Karim Boulabiar, Qingying Bu, Gerard Buskes, Martijn Caspers, Jurie Conradie, Garth Dales, Marcel de Jeu, Peter Dodds, Theresa Dodds, Julio Flores, Jochen Glück, Jacobus Grobler, Wolter Groenevelt, Markus Haase, Klaas Pieter Hart, Francisco Hernández, Jamel Jaber, Rien Kaashoek, Turabay Kalandarov, Anke Kalauch, Arkady Kitover, Erik Koelink, Karimbergen Kudaybergenov, Louis Labuschagne, Yongjin Li, Nick Lindemulder, Emiel Lorist, Qi Lü, Miek Messerschmidt, Susumu Okada, Mehmet Orhon, Denis Potapov, Werner Ricker, Stephan Roberts, Pablo Román, Anton Schep, Claud Steyn, Fedor Sukochev, James Sweeney, Guido Sweers, Pedro Tradacete, Jan Harm van der Walt, Onno van Gaans, Jan van Neerven, Arnoud van Rooij, Freek van Schagen, Dominic Vella, Mark Veraar, Anthony Wickstead, Marten Wortel, Ivan Yaroslavtsev, and Dmitriy Zanin. - [Polyfold and Fredholm Theory](https://online.neatra.in/product/polyfold-and-fredholm-theory/): This book pioneers a nonlinear Fredholm theory in a general class of spaces called polyfolds. The theory generalizes certain aspects of nonlinear analysis and differential geometry, and combines them with a pinch of category theory to incorporate local symmetries. On the differential geometrical side, the book introduces a large class of `smooth’ spaces and bundles which can have locally varying dimensions (finite or infinite-dimensional). These bundles come with an important class of sections, which display properties reminiscent of classical nonlinear Fredholm theory and allow for implicit function theorems. Within this nonlinear analysis framework, a versatile transversality and perturbation theory is developed to also cover equivariant settings. The theory presented in this book was initiated by the authors between 2007-2010, motivated by nonlinear moduli problems in symplectic geometry. Such problems are usually described locally as nonlinear elliptic systems, and they have to be studied up to a notion of isomorphism. This introduces symmetries, since such a system can be isomorphic to itself in different ways. Bubbling-off phenomena are common and have to be completely understood to produce algebraic invariants. This requires a transversality theory for bubbling-off phenomena in the presence of symmetries. Very often, even in concrete applications, geometric perturbations are not general enough to achieve transversality, and abstract perturbations have to be considered. The theory is already being successfully applied to its intended applications in symplectic geometry, and should find applications to many other areas where partial differential equations, geometry and functional analysis meet. Written by its originators, Polyfold and Fredholm Theory is an authoritative and comprehensive treatise of polyfold theory. It will prove invaluable for researchers studying nonlinear elliptic problems arising in geometric contexts. - [Operator Theory, Analysis and the State Space Approach: In Honor of Rien Kaashoek](https://online.neatra.in/product/operator-theory-analysis-and-the-state-space-approach-in-honor-of-rien-kaashoek/): This volume is dedicated to Rien Kaashoek on the occasion of his 80th birthday and celebrates his many contributions to the field of operator theory during more than fifty years. In the first part of the volume, biographical information and personal accounts on the life of Rien Kaashoek are presented. Eighteen research papers by friends and colleagues of Rien Kaashoek are included in the second part. Contributions by J. Agler, Z.A. Lykova, N.J. Young, J.A. Ball, G.J. Groenewald, S. ter Horst, H. Bart, T. Ehrhardt, B. Silbermann, J.M. Bogoya, S.M. Grudsky, I.S. Malysheva, A. Böttcher, E. Wegert, Z. Zhou, Y. Eidelman, I. Haimovici, A.E. Frazho, A.C.M. Ran, B. Fritzsche, B. Kirstein, C.Madler, J. J. Jaftha, D.B. Janse van Rensburg, P. Junghanns, R. Kaiser, J. Nemcova, M. Petreczky, J.H. van Schuppen, L. Plevnik, P. Semrl, A. Sakhnovich, F.-O. Speck, S. Sremac, H.J. Woerdeman, H. Wolkowicz and N. Vasilevski. - [Numerical Mathematics and Advanced Applications ENUMATH 2017](https://online.neatra.in/product/numerical-mathematics-and-advanced-applications-enumath-2017/): This book collects many of the presented papers, as plenary presentations, mini-symposia invited presentations, or contributed talks, from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2017. The conference was organized by the University of Bergen, Norway from September 25 to 29, 2017. Leading experts in the field presented the latest results and ideas in the designing, implementation, and analysis of numerical algorithms as well as their applications to relevant, societal problems. ENUMATH is a series of conferences held every two years to provide a forum for discussing basic aspects and new trends in numerical mathematics and scientific and industrial applications. These discussions are upheld at the highest level of international expertise. The first ENUMATH conference was held in Paris in 1995 with successive conferences being held at various locations across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), and Ankara (2015). - [Numerical Approximation of Hyperbolic Systems of Conservation Laws](https://online.neatra.in/product/numerical-approximation-of-hyperbolic-systems-of-conservation-laws/): This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation. - [Normal Surface Singularities](https://online.neatra.in/product/normal-surface-singularities/): This monograph provides a comprehensive introduction to the theory of complex normal surface singularities, with a special emphasis on connections to low-dimensional topology. In this way, it unites the analytic approach with the more recent topological one, combining their tools and methods. In the first chapters, the book sets out the foundations of the theory of normal surface singularities. This includes a comprehensive presentation of the properties of the link (as an oriented 3-manifold) and of the invariants associated with a resolution, combined with the structure and special properties of the line bundles defined on a resolution. A recurring theme is the comparison of analytic and topological invariants. For example, the Poincaré series of the divisorial filtration is compared to a topological zeta function associated with the resolution graph, and the sheaf cohomologies of the line bundles are compared to the Seiberg–Witten invariants of the link. Equivariant Ehrhart theory is introduced to establish surgery-additivity formulae of these invariants, as well as for the regularization procedures of multivariable series. In addition to recent research, the book also provides expositions of more classical subjects such as the classification of plane and cuspidal curves, Milnor fibrations and smoothing invariants, the local divisor class group, and the Hilbert–Samuel function. It contains a large number of examples of key families of germs: rational, elliptic, weighted homogeneous, superisolated and splice-quotient. It provides concrete computations of the topological invariants of their links (Casson(–Walker) and Seiberg–Witten invariants, Turaev torsion) and of the analytic invariants (geometric genus, Hilbert function of the divisorial filtration, and the analytic semigroup associated with the resolution). The book culminates in a discussion of the topological and analytic lattice cohomologies (as categorifications of the Seiberg–Witten invariant and of the geometric genus respectively) and of the graded roots. Several open problems and conjectures are also formulated. Normal Surface Singularities provides researchers in algebraic and differential geometry, singularity theory, complex analysis, and low-dimensional topology with an invaluable reference on this rich topic, offering a unified presentation of the major results and approaches. - [Nonlinear Analysis - Theory and Methods](https://online.neatra.in/product/nonlinear-analysis-theory-and-methods/): This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis. - [New Tools for Nonlinear PDEs and Application](https://online.neatra.in/product/new-tools-for-nonlinear-pdes-and-application/): This book features a collection of papers devoted to recent results in nonlinear partial differential equations and applications. It presents an excellent source of information on the state-of-the-art, new methods, and trends in this topic and related areas. Most of the contributors presented their work during the sessions 'Recent progress in evolution equations' and 'Nonlinear PDEs' at the 12th ISAAC congress held in 2017 in Växjö, Sweden. Even if inspired by this event, this book is not merely a collection of proceedings, but a stand-alone project gathering original contributions from active researchers on the latest trends in nonlinear evolution PDEs. - [Multivariate Extreme Value Theory and D-Norms](https://online.neatra.in/product/multivariate-extreme-value-theory-and-d-norms/): This monograph compiles the contemporary knowledge about D-norms and provides an introductory tour through the essentials of multivariate extreme value theory. Following a clear introduction of D-norms, this book introduces links with the theory through multivariate generalized Pareto distributions and max stable distributions. Further views on D-norms from a functional analysis perspective and from stochastic geometry underline the aim of this book to reveal mathematical structures. This book is intended for mathematicians with a basic knowledge of analysis and probability theory, including Fubini's theorem. - [Multiplicative Number Theory](https://online.neatra.in/product/multiplicative-number-theory/): This book thoroughly examines the distribution of prime numbers in arithmetic progressions. It covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetical progressions, the theorem of Siegel, and functional equations of the L-functions and their consequences for the distribution of prime numbers. In addition, a simplified, improved version of the large sieve method is presented. The 3rd edition includes a large number of revisions and corrections as well as a new section with references to more recent work in the field. - [More Explorations in Complex Functions](https://online.neatra.in/product/more-explorations-in-complex-functions/): More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. Both texts introduce a variety of topics, from core material in the mainstream of complex analysis to tools that are widely used in other areas of mathematics and applications, but there is minimal overlap between the two books. The intended readership is the same, namely graduate students and researchers in complex analysis, independent readers, seminar attendees, or instructors for a second course in complex analysis. Instructors will appreciate the many options for constructing a second course that builds on a standard first course in complex analysis. Exercises complement the results throughout. There is more material in this present text than one could expect to cover in a year’s course in complex analysis. A mapping of dependence relations among chapters enables instructors and independent readers a choice of pathway to reading the text. Chapters 2, 4, 5, 7, and 8 contain the function theory background for some stochastic equations of current interest, such as SLE. The text begins with two introductory chapters to be used as a resource. Chapters 3 and 4 are stand-alone introductions to complex dynamics and to univalent function theory, including deBrange’s theorem, respectively. Chapters 5—7 may be treated as a unit that leads from harmonic functions to covering surfaces to the uniformization theorem and Fuchsian groups. Chapter 8 is a stand-alone treatment of quasiconformal mapping that paves the way for Chapter 9, an introduction to Teichmüller theory. The final chapters, 10–14, are largely stand-alone introductions to topics of both theoretical and applied interest: the Bergman kernel, theta functions and Jacobi inversion, Padé approximants and continued fractions, the Riemann—Hilbert problem and integral equations, and Darboux’s method for computing asymptotics. - [Modern Statistical Methods for Spatial and Multivariate Data](https://online.neatra.in/product/modern-statistical-methods-for-spatial-and-multivariate-data/): This contributed volume features invited papers on current models and statistical methods for spatial and multivariate data. With a focus on recent advances in statistics, topics include spatio-temporal aspects, classification techniques, the multivariate outcomes with zero and doubly-inflated data, discrete choice modelling, copula distributions, and feasible algorithmic solutions. Special emphasis is placed on applications such as the use of spatial and spatio-temporal models for rainfall in South Carolina and the multivariate sparse areal mixed model for the Census dataset for the state of Iowa. Articles use simulated and aggregated data examples to show the flexibility and wide applications of proposed techniques. Carefully peer-reviewed and pedagogically presented for a broad readership, this volume is suitable for graduate and postdoctoral students interested in interdisciplinary research. Researchers in applied statistics and sciences will find thisbook an important resource on the latest developments in the field. In keeping with the STEAM-H series, the editors hope to inspire interdisciplinary understanding and collaboration. - [Modeling and Optimization in Space Engineering: State of the Art and New Challenges](https://online.neatra.in/product/modeling-and-optimization-in-space-engineering-state-of-the-art-and-new-challenges/): This book presents advanced case studies that address a range of important issues arising in space engineering. An overview of challenging operational scenarios is presented, with an in-depth exposition of related mathematical modeling, algorithmic and numerical solution aspects. The model development and optimization approaches discussed in the book can be extended also towards other application areas. Researchers working on space engineering applications will find this work a valuable, practical source of information. Academics, graduate and post-graduate students working in aerospace, engineering, applied mathematics, operations research, and optimal control will find useful information regarding model development and solution techniques, in conjunction with real-world applications. - [Measure, Integration & Real Analysis](https://online.neatra.in/product/measure-integration-real-analysis/): This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course, or two-semester sequence of courses, creating a versatile entry point for graduate studies in all areas of pure and applied mathematics. Motivated by a brief review of Riemann integration and its deficiencies, the text begins by immersing students in the concepts of measure and integration. Lebesgue measure and abstract measures are developed together, with each providing key insight into the main ideas of the other approach. Lebesgue integration links into results such as the Lebesgue Differentiation Theorem. The development of products of abstract measures leads to Lebesgue measure on Rn. Chapters on Banach spaces, Lp spaces, and Hilbert spaces showcase major results such as the Hahn–Banach Theorem, Hölder’s Inequality, and the Riesz Representation Theorem. An in-depth study of linear maps on Hilbert spaces culminates in the Spectral Theorem and Singular Value Decomposition for compact operators, with an optional interlude in real and complex measures. Building on the Hilbert space material, a chapter on Fourier analysis provides an invaluable introduction to Fourier series and the Fourier transform. The final chapter offers a taste of probability. Extensively class tested at multiple universities and written by an award-winning mathematical expositor, Measure, Integration & Real Analysis is an ideal resource for students at the start of their journey into graduate mathematics. A prerequisite of elementary undergraduate real analysis is assumed| students and instructors looking to reinforce these ideas will appreciate the electronic Supplement for Measure, Integration & Real Analysis that is freely available online. For errata and updates, visit https://measure.axler.net/ - [Mathematics of Aperiodic Order](https://online.neatra.in/product/mathematics-of-aperiodic-order/): What is order that is not based on simple repetition, that is, periodicity? How must atoms be arranged in a material so that it diffracts like a quasicrystal? How can we describe aperiodically ordered systems mathematically? Originally triggered by the – later Nobel prize-winning – discovery of quasicrystals, the investigation of aperiodic order has since become a well-established and rapidly evolving field of mathematical research with close ties to a surprising variety of branches of mathematics and physics. This book offers an overview of the state of the art in the field of aperiodic order, presented in carefully selected authoritative surveys. It is intended for non-experts with a general background in mathematics, theoretical physics or computer science, and offers a highly accessible source of first-hand information for all those interested in this rich and exciting field. Topics covered include the mathematical theory of diffraction, the dynamical systems of tilings or Delone sets, their cohomology and non-commutative geometry, the Pisot substitution conjecture, aperiodic Schrödinger operators, and connections to arithmetic number theory. - [Mathematics and Its History](https://online.neatra.in/product/mathematics-and-its-history/): This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation| however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel…. The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition 'The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community.' European Mathematical Society, on the Second Edition - [Mathematical Programming and Game Theory](https://online.neatra.in/product/mathematical-programming-and-game-theory/): This book discusses recent developments in mathematical programming and game theory, and the application of several mathematical models to problems in finance, games, economics and graph theory. All contributing authors are eminent researchers in their respective fields, from across the world. This book contains a collection of selected papers presented at the 2017 Symposium on Mathematical Programming and Game Theory at New Delhi during 9–11 January 2017. Researchers, professionals and graduate students will find the book an essential resource for current work in mathematical programming, game theory and their applications in finance, economics and graph theory. The symposium provides a forum for new developments and applications of mathematical programming and game theory as well as an excellent opportunity to disseminate the latest major achievements and to explore new directions and perspectives. - [Mathematical Models in Epidemiology](https://online.neatra.in/product/mathematical-models-in-epidemiology/): The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future.There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals. - [Mathematical Image Processing](https://online.neatra.in/product/mathematical-image-processing/): This book addresses the mathematical aspects of modern image processing methods, with a special emphasis on the underlying ideas and concepts. It discusses a range of modern mathematical methods used to accomplish basic imaging tasks such as denoising, deblurring, enhancing, edge detection and inpainting. In addition to elementary methods like point operations, linear and morphological methods, and methods based on multiscale representations, the book also covers more recent methods based on partial differential equations and variational methods. Review of the German Edition: The overwhelming impression of the book is that of a very professional presentation of an appropriately developed and motivated textbook for a course like an introduction to fundamentals and modern theory of mathematical image processing. Additionally, it belongs to the bookcase of any office where someone is doing research/application in image processing. It has the virtues of a good and handy reference manual. (zbMATH, reviewer: Carl H. Rohwer, Stellenbosch) - [Mathematical Control Theory: An Introduction](https://online.neatra.in/product/mathematical-control-theory-an-introduction/): This textbook presents, in a mathematically precise manner, a unified introduction to deterministic control theory. With the exception of a few more advanced concepts required for the final part of the book, the presentation requires only a knowledge of basic facts from linear algebra, differential equations, and calculus.In addition to classical concepts and ideas, the author covers the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems, and the solution of minimum energy problems.This second edition includes new chapters that introduce a variety of topics, such as controllability with vanishing energy, boundary control systems, and delayed systems. With additional proofs, theorems, results, and a substantially larger index, this new edition will be an invaluable resource for students and researchers of control theory.Mathematical Control Theory: An Introduction will be ideal for a beginning graduate course in mathematical control theory, or for self-study by professionals needing a complete picture of the mathematical theory that underlies the applications of control theory.From reviews of the first edition:At last! We did need an introductory textbook on control which can be read, understood, and enjoyed by anyone. Gian-Carlo Rota, The Bulletin of Mathematics BooksIt covers a remarkable number of topics...The exposition is excellent, and the book is a joy to read. A novel one-semester course covering both linear and nonlinear systems could be given...The book is an excellent one for introducing a mathematician to control theory. Bulletin of the AMSIndeed, for mathematicians who look for the basic ideas or a general picture about the main branches of control theory, I believe this book can provide an excellent bridge to this area. IEEE Control Systems Magazine - [Martin Kneser Collected Works](https://online.neatra.in/product/martin-kneser-collected-works/): This volume presents the collection of mathematical articles by Martin Kneser, reprinted in the original language – mostly German –, including one yet unpublished. Moreover, also included is an article by Raman Parimala, discussing Kneser’s work concerning algebraic groups and the Hasse principle, which has been written especially for this volume, as well as an article by Rudolf Scharlau about Kneser’s work on quadratic forms, published elsewhere before. Another commentary article, written by Günter M. Ziegler especially for this volume, describes the astounding influence on the field of combinatorics of what was published as “Aufgabe 360” and its subsequent solution in 1955 resp. 1957 in the “Jahresbericht der Deutschen Mathematiker-Vereinigung”. However, as the titles of the articles show, Kneser’s mathematical interests were much broader, which is beautifully discussed in an obituary by Ulrich Stuhler, included as well in this volume. - [Lyapunov Inequalities and Applications](https://online.neatra.in/product/lyapunov-inequalities-and-applications/): This book provides an extensive survey on Lyapunov-type inequalities. It summarizes and puts order into a vast literature available on the subject, and sketches recent developments in this topic. In an elegant and didactic way, this work presents the concepts underlying Lyapunov-type inequalities, covering how they developed and what kind of problems they address. This survey starts by introducing basic applications of Lyapunov’s inequalities. It then advances towards even-order, odd-order, and higher-order boundary value problems; Lyapunov and Hartman-type inequalities; systems of linear, nonlinear, and quasi-linear differential equations; recent developments in Lyapunov-type inequalities; partial differential equations; linear difference equations; and Lyapunov-type inequalities for linear, half-linear, and nonlinear dynamic equations on time scales, as well as linear Hamiltonian dynamic systems. Senior undergraduate students and graduate students of mathematics, engineering, and science will benefit most from this book, as well as researchers in the areas of ordinary differential equations, partial differential equations, difference equations, and dynamic equations. Some background in calculus, ordinary and partial differential equations, and difference equations is recommended for full enjoyment of the content. - [Louis Couturat: The History of Modern Symbolic Logic and Other French Manuscripts](https://online.neatra.in/product/louis-couturat-the-history-of-modern-symbolic-logic-and-other-french-manuscripts/): This volume features a critical edition of the recently rediscovered manuscripts written by the French philosopher Louis Couturat (1868-1914). It includes the transcriptions of three of his believed to be lost manuscripts: first the “Cours de Caen: 1898-99” on various systems of symbolic logic, second his lecture at the Collège de France “Histoire de la logique formelle moderne', and third his textbook on mathematical logic. The manuscripts document the early reception of mathematical logic in France and provide insights into the first introduction of the French reader to the work of Gottlob Frege and Bertrand Russell. It is the aim of the editors of this volume to contribute to the history of symbolic logic, particularly the history of its dissemination and its teaching in France. At the same time, the volume contributes to an alternative history and conception of philosophy in which semiotics and concrete mathematical practice stand in focus. The book is interesting for students and researchers in the history of philosophy, mathematics, and logic. - [Linked Data Visualization: Techniques, Tools, and Big Data](https://online.neatra.in/product/linked-data-visualization-techniques-tools-and-big-data/): Linked Data (LD) is a well-established standard for publishing and managing structured information on the Web, gathering and bridging together knowledge from different scientific and commercial domains. The development of Linked Data Visualization techniques and tools has been followed as the primary means for the analysis of this vast amount of information by data scientists, domain experts, business users, and citizens. This book covers a wide spectrum of visualization issues, providing an overview of the recent advances in this area, focusing on techniques, tools, and use cases of visualization and visual analysis of LD. It presents the basic concepts related to data visualization and the LD technologies, the techniques employed for data visualization based on the characteristics of data techniques for Big Data visualization, use tools and use cases in the LD context, and finally a thorough assessment of the usability of these tools under different scenarios. The purpose of this book is to offer a complete guide to the evolution of LD visualization for interested readers from any background and to empower them to get started with the visual analysis of such data. This book can serve as a course textbook or a primer for all those interested in LD and data visualization. - [Linear and Quasilinear Parabolic Problems](https://online.neatra.in/product/linear-and-quasilinear-parabolic-problems/): This volume discusses an in-depth theory of function spaces in an Euclidean setting, including several new features, not previously covered in the literature. In particular, it develops a unified theory of anisotropic Besov and Bessel potential spaces on Euclidean corners, with infinite-dimensional Banach spaces as targets.It especially highlights the most important subclasses of Besov spaces, namely Slobodeckii and Hölder spaces. In this case, no restrictions are imposed on the target spaces, except for reflexivity assumptions in duality results. In this general setting, the author proves sharp embedding, interpolation, and trace theorems, point-wise multiplier results, as well as Gagliardo-Nirenberg estimates and generalizations of Aubin-Lions compactness theorems.The results presented pave the way for new applications in situations where infinite-dimensional target spaces are relevant – in the realm of stochastic differential equations, for example. - [Linear Algebra, Signal Processing, and Wavelets - A Unified Approach: Python Version](https://online.neatra.in/product/linear-algebra-signal-processing-and-wavelets-a-unified-approach-python-version/): This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets| and to their interplay and applications. The approach is novel, and the book can be used in undergraduate courses, for example, following a first course in linear algebra, but is also suitable for use in graduate level courses. The book will benefit anyone with a basic background in linear algebra. It defines fundamental concepts in signal processing and wavelet theory, assuming only a familiarity with elementary linear algebra. No background in signal processing is needed. Additionally, the book demonstrates in detail why linear algebra is often the best way to go. Those with only a signal processing background are also introduced to the world of linear algebra, although a full course is recommended.The book comes in two versions: one based on MATLAB, and one on Python, demonstrating the feasibility and applications of both approaches. Most of the code is available interactively. The applications mainly involve sound and images. The book also includes a rich set of exercises, many of which are of a computational nature. - [Linear Algebra, Signal Processing, and Wavelets - A Unified Approach: MATLAB Version](https://online.neatra.in/product/linear-algebra-signal-processing-and-wavelets-a-unified-approach-matlab-version/): This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets| and to their interplay and applications. The approach is novel, and the book can be used in undergraduate courses, for example, following a first course in linear algebra, but is also suitable for use in graduate level courses. The book will benefit anyone with a basic background in linear algebra. It defines fundamental concepts in signal processing and wavelet theory, assuming only a familiarity with elementary linear algebra. No background in signal processing is needed. Additionally, the book demonstrates in detail why linear algebra is often the best way to go. Those with only a signal processing background are also introduced to the world of linear algebra, although a full course is recommended. The book comes in two versions: one based on MATLAB, and one on Python, demonstrating the feasibility and applications of both approaches. Most of the MATLAB code is available interactively. The applications mainly involve sound and images. The book also includes a rich set of exercises, many of which are of a computational nature. - [Line Graphs and Line Digraphs](https://online.neatra.in/product/line-graphs-and-line-digraphs/): In the present era dominated by computers, graph theory has come into its own as an area of mathematics, prominent for both its theory and its applications. One of the richest and most studied types of graph structures is that of the line graph, where the focus is more on the edges of a graph than on the vertices. A subject worthy of exploration in itself, line graphs are closely connected to other areas of mathematics and computer science. This book is unique in its extensive coverage of many areas of graph theory applicable to line graphs. The book has three parts. Part I covers line graphs and their properties, while Part II looks at features that apply specifically to directed graphs, and Part III presents generalizations and variations of both line graphs and line digraphs.Line Graphs and Line Digraphs is the first comprehensive monograph on the topic. With minimal prerequisites, the book is accessible to most mathematicians and computer scientists who have had an introduction graph theory, and will be a valuable reference for researchers working in graph theory and related fields. - [Lie Groups, Geometry, and Representation Theory: A Tribute to the Life and Work of Bertram Kostant](https://online.neatra.in/product/lie-groups-geometry-and-representation-theory-a-tribute-to-the-life-and-work-of-bertram-kostant/): This volume, dedicated to the memory of the great American mathematician Bertram Kostant (May 24, 1928 – February 2, 2017), is a collection of 19 invited papers by leading mathematicians working in Lie theory, representation theory, algebra, geometry, and mathematical physics. Kostant’s fundamental work in all of these areas has provided deep new insights and connections, and has created new fields of research. - [Lectures on Convex Optimization](https://online.neatra.in/product/lectures-on-convex-optimization/): This book provides a comprehensive, modern introduction to convex optimization, a field that is becoming increasingly important in applied mathematics, economics and finance, engineering, and computer science, notably in data science and machine learning. Written by a leading expert in the field, this book includes recent advances in the algorithmic theory of convex optimization, naturally complementing the existing literature. It contains a unified and rigorous presentation of the acceleration techniques for minimization schemes of first- and second-order. It provides readers with a full treatment of the smoothing technique, which has tremendously extended the abilities of gradient-type methods. Several powerful approaches in structural optimization, including optimization in relative scale and polynomial-time interior-point methods, are also discussed in detail. Researchers in theoretical optimization as well as professionals working on optimization problems will find this book very useful. It presents many successful examples of how to develop very fast specialized minimization algorithms. Based on the author’s lectures, it can naturally serve as the basis for introductory and advanced courses in convex optimization for students in engineering, economics, computer science and mathematics. - [Lattice Path Combinatorics and Applications](https://online.neatra.in/product/lattice-path-combinatorics-and-applications/): The most recent methods in various branches of lattice path and enumerative combinatorics along with relevant applications are nicely grouped together and represented in this research contributed volume. Contributions to this edited volume will be mainly research articles however it will also include several captivating, expository articles (along with pictures) on the life and mathematical work of leading researchers in lattice path combinatorics and beyond. There will be four or five expository articles in memory of Shreeram Shankar Abhyankar and Philippe Flajolet and honoring George Andrews and Lajos Takács. There may be another brief article in memory of Professors Jagdish Narayan Srivastava and Joti Lal Jain.New research results include the kernel method developed by Flajolet and others for counting different classes of lattice paths continues to produce new results in counting lattice paths. The recent investigation of Fishburn numbers has led to interesting counting interpretations and a family of fascinating congruences. Formulas for new methods to obtain the number of Fq-rational points of Schubert varieties in Grassmannians continues to have research interest and will be presented here. Topics to be included are far reaching and will include lattice path enumeration, tilings, bijections between paths and other combinatoric structures, non-intersecting lattice paths, varieties, Young tableaux, partitions, enumerative combinatorics, discrete distributions, applications to queueing theory and other continuous time models, graph theory and applications. Many leading mathematicians who spoke at the conference from which this volume derives, are expected to send contributions including. This volume also presents the stimulating ideas of some exciting newcomers to the Lattice Path Combinatorics Conference series| “The 8th Conference on Lattice Path Combinatorics and Applications” provided opportunities for new collaborations| some of the products of these collaborations will also appear in this book.This book will have interest for researchers in lattice path combinatorics and enumerative combinatorics. This will include subsets of researchers in mathematics, statistics, operations research and computer science. The applications of the material covered in this edited volume extends beyond the primary audience to scholars interested queuing theory, graph theory, tiling, partitions, distributions, etc. An attractive bonus within our book is the collection of special articles describing the top recent researchers in this area of study and documenting the interesting history of who, when and how these beautiful combinatorial results were originally discovered. - [Language, Logic, and Mathematics in Schopenhauer](https://online.neatra.in/product/language-logic-and-mathematics-in-schopenhauer/): The chapters in this timely volume aim to answer the growing interest in Arthur Schopenhauer’s logic, mathematics, and philosophy of language by comprehensively exploring his work on mathematical evidence, logic diagrams, and problems of semantics. Thus, this work addresses the lack of research on these subjects in the context of Schopenhauer’s oeuvre by exposing their links to modern research areas, such as the “proof without words” movement, analytic philosophy and diagrammatic reasoning, demonstrating its continued relevance to current discourse on logic. Beginning with Schopenhauer’s philosophy of language, the chapters examine the individual aspects of his semantics, semiotics, translation theory, language criticism, and communication theory. Additionally, Schopenhauer’s anticipation of modern contextualism is analyzed. The second section then addresses his logic, examining proof theory, metalogic, system of natural deduction, conversion theory, logical geometry, and the history of logic. Special focus is given to the role of the Euler diagrams used frequently in his lectures and their significance to broader context of his logic. In the final section, chapters discuss Schopenhauer’s philosophy of mathematics while synthesizing all topics from the previous sections, emphasizing the relationship between intuition and concept. Aimed at a variety of academics, including researchers of Schopenhauer, philosophers, historians, logicians, mathematicians, and linguists, this title serves as a unique and vital resource for those interested in expanding their knowledge of Schopenhauer’s work as it relates to modern mathematical and logical study. - [Introduction to Symplectic Geometry](https://online.neatra.in/product/introduction-to-symplectic-geometry/): This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds. It consists of six chapters: Some Algebra Basics, Symplectic Manifolds, Cotangent Bundles, Symplectic G-spaces, Poisson Manifolds, and A Graded Case, concluding with a discussion of the differential properties of graded symplectic manifolds of dimensions (0,n). It is a useful reference resource for students and researchers interested in geometry, group theory, analysis and differential equations.This book is also inspiring in the emerging field of Geometric Science of Information, in particular the chapter on Symplectic G-spaces, where Jean-Louis Koszul develops Jean-Marie Souriau's tools related to the non-equivariant case of co-adjoint action on Souriau’s moment map through Souriau’s Cocycle, opening the door to Lie Group Machine Learning with Souriau-Fisher metric. - [Introduction to Real Analysis](https://online.neatra.in/product/introduction-to-real-analysis/): Developed over years of classroom use, this textbook provides a clear and accessible approach to real analysis. This modern interpretation is based on the author’s lecture notes and has been meticulously tailored to motivate students and inspire readers to explore the material, and to continue exploring even after they have finished the book. The definitions, theorems, and proofs contained within are presented with mathematical rigor, but conveyed in an accessible manner and with language and motivation meant for students who have not taken a previous course on this subject.The text covers all of the topics essential for an introductory course, including Lebesgue measure, measurable functions, Lebesgue integrals, differentiation, absolute continuity, Banach and Hilbert spaces, and more. Throughout each chapter, challenging exercises are presented, and the end of each section includes additional problems. Such an inclusive approach creates an abundance of opportunities for readers to develop their understanding, and aids instructors as they plan their coursework. Additional resources are available online, including expanded chapters, enrichment exercises, a detailed course outline, and much more.Introduction to Real Analysis is intended for first-year graduate students taking a first course in real analysis, as well as for instructors seeking detailed lecture material with structure and accessibility in mind. Additionally, its content is appropriate for Ph.D. students in any scientific or engineering discipline who have taken a standard upper-level undergraduate real analysis course. - [Introduction to Infinite-Dimensional Systems Theory: A State-Space Approach](https://online.neatra.in/product/introduction-to-infinite-dimensional-systems-theory-a-state-space-approach/): Infinite-dimensional systems is a well established area of research with an ever increasing number of applications. Given this trend, there is a need for an introductory text treating system and control theory for this class of systems in detail. This textbook is suitable for courses focusing on the various aspects of infinite-dimensional state space theory. This book is made accessible for mathematicians and post-graduate engineers with a minimal background in infinite-dimensional system theory. To this end, all the system theoretic concepts introduced throughout the text are illustrated by the same types of examples, namely, diffusion equations, wave and beam equations, delay equations and the new class of platoon-type systems. Other commonly met distributed and delay systems can be found in the exercise sections. Every chapter ends with such a section, containing about 30 exercises testing the theoretical concepts as well. An extensive account of the mathematical background assumed is contained in the appendix. - [Introduction to Continuous Optimization](https://online.neatra.in/product/introduction-to-continuous-optimization/): This self-contained monograph presents the reader with an authoritative view of Continuous Optimization, an area of mathematical optimization that has experienced major developments during the past 40 years. The book contains results which have not yet been covered in a systematic way as well as a summary of results on NR theory and methods developed over the last several decades. The readership is aimed to graduate students in applied mathematics, computer science, economics, as well as researchers working in optimization and those applying optimization methods for solving real life problems. Sufficient exercises throughout provide graduate students and instructors with practical utility in a two-semester course in Continuous Optimization.The topical coverage includes interior point methods, self-concordance theory and related complexity issues, first and second order methods with accelerated convergence, nonlinear rescaling (NR) theory and exterior point methods, just to mention a few. The book contains a unified approach to both interior and exterior point methods with emphasis of the crucial duality role. One of the main achievements of the book shows what makes the exterior point methods numerically attractive and why. The book is composed in five parts. The first part contains the basics of calculus, convex analysis, elements of unconstrained optimization, as well as classical results of linear and convex optimization. The second part contains the basics of self-concordance theory and interior point methods, including complexity results for LP, QP, and QP with quadratic constraint, semidefinite and conic programming. In the third part, the NR and Lagrangian transformation theories are considered and exterior point methods are described. Three important problems in finding equilibrium are considered in the fourth part. In the fifth and final part of the book, several important applications arising in economics, structural optimization, medicine, statistical learning theory, and more, are detailed. Numerical results, obtained by solving a number of real life and test problems, are also provided. - [Interpolation and Realization Theory with Applications to Control Theory](https://online.neatra.in/product/interpolation-and-realization-theory-with-applications-to-control-theory/): This volume is devoted to Joseph A. (Joe) Ball’s contributions to operator theory and its applications and in celebration of his seventieth birthday.Joe Ball’s career spans over four and a half decades, starting with his work on model theory and related topics for non-contractions and operators on multiply connected domains. Later on, more applied operator theory themes appeared in his work, involving factorization and interpolation for operator-valued functions, with extensive applications in system and control theory. He has worked on nonlinear control, time-varying systems and, more recently, on multidimensional systems and noncommutative H∞-theory on the unit ball and polydisk, and more general domains, and these are only the main themes in his vast oeuvre.Fourteen research papers constitute the core of this volume, written by mathematicians who have collaborated with Joe or have been influenced by his vast mathematical work. A curriculum vitae, a publications list and a list of Joe Ball’s PhD students are included in this volume, as well as personal reminiscences by colleagues and friends. Contributions by Yu. M. Arlinskii, S. Hassi, M. Augat, J. W. Helton, I. Klep, S. McCullough, S. Balasubramanian, U. Wijesooriya, N. Cohen, Q. Fang, S. Gorai, J. Sarkar, G. J. Groenewald, S. ter Horst, J. Jaftha, A. C. M. Ran, M.A. Kaashoek, F. van Schagen, A. Kheifets, Z. A. Lykova, N. J. Young, A. E. Ajibo, R. T. W. Martin, A. Ramanantoanina, M.-J. Y. Ou, H. J. Woerdeman, A. van der Schaft, A. Tannenbaum, T. T. Georgiou, J. O. Deasy and L. Norton. - [Identification and Other Probabilistic Models](https://online.neatra.in/product/identification-and-other-probabilistic-models/): The sixth volume of Rudolf Ahlswede's lectures on Information Theory is focused on Identification Theory. In contrast to Shannon's classical coding scheme for the transmission of a message over a noisy channel, in the theory of identification the decoder is not really interested in what the received message is, but only in deciding whether a message, which is of special interest to him, has been sent or not. There are also algorithmic problems where it is not necessary to calculate the solution, but only to check whether a certain given answer is correct. Depending on the problem, this answer might be much easier to give than finding the solution. ``Easier'' in this context means using fewer resources like channel usage, computing time or storage space. Ahlswede and Dueck's main result was that, in contrast to transmission problems, where the possible code sizes grow exponentially fast with block length, the size of identification codes will grow doubly exponentially fast. The theory of identification has now developed into a sophisticated mathematical discipline with many branches and facets, forming part of the Post Shannon theory in which Ahlswede was one of the leading experts. New discoveries in this theory are motivated both by concrete engineering problems and by explorations of the inherent properties of the mathematical structures. Rudolf Ahlswede wrote: It seems that the whole body of present day Information Theory will undergo serious revisions and some dramatic expansions. In this book we will open several directions of future research and start the mathematical description of communication models in great generality. For some specific problems we provide solutions or ideas for their solutions. The lectures presented in this work, which consists of 10 volumes, are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used as the basis for courses or to supplement courses in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs. The book also contains an afterword by Gunter Dueck. - [Holomorphic Curves and Global Questions in Contact Geometry](https://online.neatra.in/product/holomorphic-curves-and-global-questions-in-contact-geometry/): This book explains the foundations of holomorphic curve theory in contact geometry. By using a particular geometric problem as a starting point the authors guide the reader into the subject. As such it ideally serves as preparation and as entry point for a deeper study of the analysis underlying symplectic field theory.An introductory chapter sets the stage explaining some of the basic notions of contact geometry and the role of holomorphic curves in the field. The authors proceed to the heart of the material providing a detailed exposition about finite energy planes and periodic orbits (chapter 4) to disk filling methods and applications (chapter 9).The material is self-contained. It includes a number of technical appendices giving the geometric analysis foundations for the main results, so that one may easily follow the discussion. Graduate students as well as researchers who want to learn the basics of this fast developing theory will highly appreciate this accessible approach taken by the authors. - [Hilary Putnam on Logic and Mathematics](https://online.neatra.in/product/hilary-putnam-on-logic-and-mathematics/): This book explores the research of Professor Hilary Putnam, a Harvard professor as well as a leading philosopher, mathematician and computer scientist. It features the work of distinguished scholars in the field as well as a selection of young academics who have studied topics closely connected to Putnam’s work. It includes 12 papers that analyze, develop, and constructively criticize this notable professor's research in mathematical logic, the philosophy of logic and the philosophy of mathematics. In addition, it features a short essay presenting reminiscences and anecdotes about Putnam from his friends and colleagues, and also includes an extensive bibliography of his work in mathematics and logic. The book offers readers a comprehensive review of outstanding contributions in logic and mathematics as well as an engaging dialogue between prominent scholars and researchers. It provides those interested in mathematical logic, the philosophy of logic, and the philosophy of mathematics unique insights into the work of Hilary Putnam. - [Hidden Dynamics: The Mathematics of Switches, Decisions and Other Discontinuous Behaviour](https://online.neatra.in/product/hidden-dynamics-the-mathematics-of-switches-decisions-and-other-discontinuous-behaviour/): The dream of mathematical modeling is of systems evolving in a continuous, deterministic, predictable way. Unfortunately continuity is lost whenever the `rules of the game' change, whether a change of behavioural regime, or a change of physical properties. From biological mitosis to seizures. From rattling machine parts to earthquakes. From individual decisions to economic crashes. Where discontinuities occur, determinacy is inevitably lost. Typically the physical laws of such change are poorly understood, and too ill-defined for standard mathematics. Discontinuities offer a way to make the bounds of scientific knowledge a part of the model, to analyse a system with detail and rigour, yet still leave room for uncertainty. This is done without recourse to stochastic modeling, instead retaining determinacy as far as possible, and focussing on the geometry of the many outcomes that become possible when it breaks down. In this book the foundations of `piecewise-smooth dynamics' theory are rejuvenated, given new life through the lens of modern nonlinear dynamics and asymptotics. Numerous examples and exercises lead the reader through from basic to advanced analytical methods, particularly new tools for studying stability and bifurcations. The book is aimed at scientists and engineers from any background with a basic grounding in calculus and linear algebra. It seeks to provide an invaluable resource for modeling discontinuous systems, but also to empower the reader to develop their own novel models and discover as yet unknown phenomena. - [Henri Poincaré, 1912–2012: Poincaré Seminar 2012](https://online.neatra.in/product/henri-poincare-1912-2012-poincare-seminar-2012/): This thirteenth volume of the Poincaré Seminar Series, Henri Poincaré, 1912-2012, is published on the occasion of the centennial of the death of Henri Poincaré in 1912. It presents a scholarly approach to Poincaré’s genius and creativity in mathematical physics and mathematics. Its five articles are also highly pedagogical, as befits their origin in lectures to a broad scientific audience. Highlights include “Poincaré’s Light” by Olivier Darrigol, a leading historian of science, who uses light as a guiding thread through much of Poincaré ’s physics and philosophy, from the application of his superior mathematical skills and the theory of diffraction to his subsequent reflections on the foundations of electromagnetism and the electrodynamics of moving bodies| the authoritative “Poincaré and the Three-Body Problem” by Alain Chenciner, who offers an exquisitely detailed, hundred-page perspective, peppered with vivid excerpts from citations, on the monumental work of Poincaré on this subject, from the famous (King Oscar’s) 1889 memoir to the foundations of the modern theory of chaos in “Les méthodes nouvelles de la mécanique céleste.” A profoundly original and scholarly presentation of the work by Poincaré on probability theory is given by Laurent Mazliak in “Poincaré’s Odds,” from the incidental first appearance of the word “probability” in Poincaré’s famous 1890 theorem of recurrence for dynamical systems, to his later acceptance of the unavoidability of probability calculus in Science, as developed to a great extent by Emile Borel, Poincaré’s main direct disciple| the article by Francois Béguin, “Henri Poincaré and the Uniformization of Riemann Surfaces,” takes us on a fascinating journey through the six successive versions in twenty-six years of the celebrated uniformization theorem, which exemplifies the Master’s distinctive signature in the foundational fusion of mathematics and physics, on which conformal field theory, string theory and quantum gravity so much depend nowadays| the final chapter, “Harmony and Chaos, On the Figure of Henri Poincaré” by the filmmaker Philippe Worms, describes the homonymous poetical film in which eminent scientists, through mathematical scenes and physical experiments, display their emotional relationship to the often elusive scientific truth and universal “harmony and chaos” in Poincaré’s legacy.This book will be of broad general interest to physicists, mathematicians, philosophers of science and historians. - [Heavy-Tailed Time Series](https://online.neatra.in/product/heavy-tailed-time-series/): This book aims to present a comprehensive, self-contained, and concise overview of extreme value theory for time series, incorporating the latest research trends alongside classical methodology. Appropriate for graduate coursework or professional reference, the book requires a background in extreme value theory for i.i.d. data and basics of time series. Following a brief review of foundational concepts, it progresses linearly through topics in limit theorems and time series models while including historical insights at each chapter’s conclusion. Additionally, the book incorporates complete proofs and exercises with solutions as well as substantive reference lists and appendices, featuring a novel commentary on the theory of vague convergence. - [Harmonic Function Theory](https://online.neatra.in/product/harmonic-function-theory/): This is a book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the material presented here. The authors have taken unusual care to motivate concepts and simplify proofs. Topics include: basic properties of harmonic functions, Poisson integrals, the Kelvin transform, spherical harmonics, harmonic Hardy spaces, harmonic Bergman spaces, the decomposition theorem, Laurent expansions, isolated singularities, and the Dirichlet problem. The new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bocher's Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package-designed by the authors and available by e-mail - supplements the text for readers who wish to explore harmonic function theory on a computer. - [Hardy Inequalities on Homogeneous Groups: 100 Years of Hardy Inequalities](https://online.neatra.in/product/hardy-inequalities-on-homogeneous-groups-100-years-of-hardy-inequalities/): This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hörmander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding. - [Great Circles](https://online.neatra.in/product/great-circles/): This volume explores the interaction of poetry and mathematics by looking at analogies that link them. The form that distinguishes poetry from prose has mathematical structure (lifting language above the flow of time), as do the thoughtful ways in which poets bring the infinite into relation with the finite. The history of mathematics exhibits a dramatic narrative inspired by a kind of troping, as metaphor opens, metonymy and synecdoche elaborate, and irony closes off or shifts the growth of mathematical knowledge. The first part of the book is autobiographical, following the author through her discovery of these analogies, revealed by music, architecture, science fiction, philosophy, and the study of mathematics and poetry. The second part focuses on geometry, the circle and square, launching us from Shakespeare to Housman, from Euclid to Leibniz. The third part explores the study of dynamics, inertial motion and transcendental functions, from Descartes to Newton, and in 20th c. poetry. The final part contemplates infinity, as it emerges in modern set theory and topology, and in contemporary poems, including narrative poems about modern cosmology. - [Graphs and Discrete Dirichlet Spaces](https://online.neatra.in/product/graphs-and-discrete-dirichlet-spaces/): The spectral geometry of infinite graphs deals with three major themes and their interplay: the spectral theory of the Laplacian, the geometry of the underlying graph, and the heat flow with its probabilistic aspects. In this book, all three themes are brought together coherently under the perspective of Dirichlet forms, providing a powerful and unified approach. The book gives a complete account of key topics of infinite graphs, such as essential self-adjointness, Markov uniqueness, spectral estimates, recurrence, and stochastic completeness. A major feature of the book is the use of intrinsic metrics to capture the geometry of graphs. As for manifolds, Dirichlet forms in the graph setting offer a structural understanding of the interaction between spectral theory, geometry and probability. For graphs, however, the presentation is much more accessible and inviting thanks to the discreteness of the underlying space, laying bare the main concepts while preserving the deep insights of the manifold case. Graphs and Discrete Dirichlet Spaces offers a comprehensive treatment of the spectral geometry of graphs, from the very basics to deep and thorough explorations of advanced topics. With modest prerequisites, the book can serve as a basis for a number of topics courses, starting at the undergraduate level. - [Geometric Algebra Applications Vol. II: Robot Modelling and Control](https://online.neatra.in/product/geometric-algebra-applications-vol-ii-robot-modelling-and-control/): This book presents a unified mathematical treatment of diverse problems in the general domain of robotics and associated fields using Clifford or geometric alge- bra. By addressing a wide spectrum of problems in a common language, it offers both fresh insights and new solutions that are useful to scientists and engineers working in areas related with robotics. - [General Topology](https://online.neatra.in/product/general-topology/): This classic book is a systematic exposition of general topology. It is especially intended as background for modern analysis. Based on lectures given at the University of Chicago, the University of California and Tulane University, this book is intended to be a reference and a text. As a reference work, it offers a reasonably complete coverage of the area, and this has resulted in a more extended treatment than would normally be given in a course. As a text, however, the exposition in the eariler chapters proceeds at a more pedestrian pace. A preliminary chapter covers those topics requisite to the main body of work. - [General Systems Theory: Foundation, Intuition and Applications in Business Decision Making](https://online.neatra.in/product/general-systems-theory-foundation-intuition-and-applications-in-business-decision-making/): This book demonstrates the theoretical value and practical significance of systems science and its logic of thinking by presenting a rigorously developed foundation—a tool for intuitive reasoning, which is supported by both theory and empirical evidence, as well as practical applications in business decision making. Following a foundation of general systems theory, the book presents an applied method to intuitively learn system-sciences fundamentals. The third and final part examines applications of the yoyo model and the theoretical results developed earlier within the context of problems facing business decision makers by organically combining methods of traditional science, the first dimension of science, with those of systems science, the second dimension, as argued by George Klir in the 1990s. This text would benefit graduate students, researchers, or practitioners in the areas of mathematics, systems science or engineering, economics, and business decision science. - [Gaussian Harmonic Analysis](https://online.neatra.in/product/gaussian-harmonic-analysis/): Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: harmonic analysis and probability. The book is intended for a very diverse audience, from graduate students all the way to researchers working in a broad spectrum of areas in analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of real analysis as well as with classical harmonic analysis, including Calderón-Zygmund theory| also some knowledge of basic orthogonal polynomials theory would be convenient. The monograph develops the main topics of classical harmonic analysis (semigroups, covering lemmas, maximal functions, Littlewood-Paley functions, spectral multipliers, fractional integrals and fractional derivatives, singular integrals) with respect to the Gaussian measure. The text provide an updated exposition, as self-contained as possible, of all the topics in Gaussian harmonic analysis that up to now are mostly scattered in research papers and sections of books| also an exhaustive bibliography for further reading. Each chapter ends with a section of notes and further results where connections between Gaussian harmonic analysis and other connected fields, points of view and alternative techniques are given. Mathematicians and researchers in several areas will find the breadth and depth of the treatment of the subject highly useful. - [Game Theory and Networks: New Perspectives and Directions](https://online.neatra.in/product/game-theory-and-networks-new-perspectives-and-directions/): This book is a collection of selected papers presented at the consecutively held international conferences on “Game Theory and Networks”, organized by the Department of Mathematics, Dibrugarh University, India, in collaboration with the Economics Department of Queen’s University, Belfast, UK, during September 6–9, 2019 and September, 13–15 2018. The book includes chapters on network measures and network formation, application of network theory to contagion, biological data and finance and macroeconomics as expository articles. The book also contains chapters on fair allocation in the context of queuing, rationing and cooperative games with transferable utilities for engaged researchers. A few survey chapters on non-cooperative game theory, evolutionary game theory, mechanism design and social choice theory are also incorporated to cater to the needs of the beginners in the field. This book discusses the use of game theoretic tools and network models across disciplines: mathematics, statistics, economics, computer science, political science, sociology and psychology. It aims at providing a suitable learning experience to beginners on the basics of cooperative games, networks and mechanism design, as well as recent developments to research scholars having the basic knowledge of these topics. - [Galois Theory](https://online.neatra.in/product/galois-theory/): This book is an introduction to Galois theory along the lines of Galois' "Memoir on the Conditions for Solvability of Equations by Radicals". Some antecedents of Galois theory in the works of Gauss, Lagrange, Vandemonde, Newton, and even the ancient Babylonians, are explained in order to put Galois' main ideas in their historical setting. The modern formulation of the theory is also explained. The book contains many exercises - with answers - and an English translation of Galois' memoir. - [Fuzzy Lie Algebras](https://online.neatra.in/product/fuzzy-lie-algebras/): This book explores certain structures of fuzzy Lie algebras, fuzzy Lie superalgebras and fuzzy n-Lie algebras. In addition, it applies various concepts to Lie algebras and Lie superalgebras, including type-1 fuzzy sets, interval-valued fuzzy sets, intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy sets, vague sets and bipolar fuzzy sets. The book offers a valuable resource for students and researchers in mathematics, especially those interested in fuzzy Lie algebraic structures, as well as for other scientists. Divided into 10 chapters, the book begins with a concise review of fuzzy set theory, Lie algebras and Lie superalgebras. In turn, Chap. 2 discusses several properties of concepts like interval-valued fuzzy Lie ideals, characterizations of Noetherian Lie algebras, quotient Lie algebras via interval-valued fuzzy Lie ideals, and interval-valued fuzzy Lie superalgebras. Chaps. 3 and 4 focus on various concepts of fuzzy Lie algebras, while Chap. 5 presents the concept of fuzzy Lie ideals of a Lie algebra over a fuzzy field. Chapter 6 is devoted to the properties of bipolar fuzzy Lie ideals, bipolar fuzzy Lie subsuperalgebras, bipolar fuzzy bracket product, solvable bipolar fuzzy Lie ideals and nilpotent bipolar fuzzy Lie ideals. Chap. 7 deals with the properties of m-polar fuzzy Lie subalgebras and m-polar fuzzy Lie ideals, while Chap. 8 addresses concepts like soft intersection Lie algebras and fuzzy soft Lie algebras. Chap. 9 deals with rough fuzzy Lie subalgebras and rough fuzzy Lie ideals, and lastly, Chap. 10 investigates certain properties of fuzzy subalgebras and ideals of n-ary Lie algebras. - [Fuzzy Geometric Programming Techniques and Applications](https://online.neatra.in/product/fuzzy-geometric-programming-techniques-and-applications/): This book develops the concepts of various unique optimization techniques in the crisp and fuzzy environment. It provides an extensive overview of geometric programming methods within a unifying framework, and presents an in-depth discussion of the modified geometric programming problem, fuzzy geometric programming, as well as new insights into goal geometric programming. With numerous examples and exercises together with detailed solutions for several problems, the book also addresses fuzzy multi-objective geometric programming techniques. Geometric programming, which falls into the general class of signomial problems, has applications across disciplines, from engineering to economics, and is extremely useful in applications of a variety of optimization problems. Organized into thirteen chapters, this book is a valuable resource for graduate and advanced undergraduate students and researchers in applied mathematics and engineering. - [Functions of Bounded Variation and Their Fourier Transforms](https://online.neatra.in/product/functions-of-bounded-variation-and-their-fourier-transforms/): Functions of bounded variation represent an important class of functions. Studying their Fourier transforms is a valuable means of revealing their analytic properties. Moreover, it brings to light new interrelations between these functions and the real Hardy space and, correspondingly, between the Fourier transform and the Hilbert transform. This book is divided into two major parts, the first of which addresses several aspects of the behavior of the Fourier transform of a function of bounded variation in dimension one. In turn, the second part examines the Fourier transforms of multivariate functions with bounded Hardy variation. The results obtained are subsequently applicable to problems in approximation theory, summability of the Fourier series and integrability of trigonometric series. - [Functional Dynamic Equations on Time Scales](https://online.neatra.in/product/functional-dynamic-equations-on-time-scales/): This book is devoted to the qualitative theory of functional dynamic equations on time scales, providing an overview of recent developments in the field as well as a foundation to time scales, dynamic systems, and functional dynamic equations. It discusses functional dynamic equations in relation to mathematical physics applications and problems, providing useful tools for investigation for oscillations and nonoscillations of the solutions of functional dynamic equations on time scales. Practice problems are presented throughout the book for use as a graduate-level textbook and as a reference book for specialists of several disciplines, such as mathematics, physics, engineering, and biology. - [From Holomorphic Functions to Complex Manifolds](https://online.neatra.in/product/from-holomorphic-functions-to-complex-manifolds/): The aim of this book is to give an understandable introduction to the the­ ory of complex manifolds. With very few exceptions we give complete proofs. Many examples and figures along with quite a few exercises are included. Our intent is to familiarize the reader with the most important branches and methods in complex analysis of several variables and to do this as simply as possible. Therefore, the abstract concepts involved with sheaves, coherence, and higher-dimensional cohomology are avoided. Only elementary methods such as power series, holomorphic vector bundles, and one-dimensional co­ cycles are used. Nevertheless, deep results can be proved, for example the Remmert-Stein theorem for analytic sets, finiteness theorems for spaces of cross sections in holomorphic vector bundles, and the solution of the Levi problem. The first chapter deals with holomorphic functions defined in open sub­ sets of the space en. Many of the well-known properties of holomorphic functions of one variable, such as the Cauchy integral formula or the maxi­ mum principle, can be applied directly to obtain corresponding properties of holomorphic functions of several variables. Furthermore, certain properties of differentiable functions of several variables, such as the implicit and inverse function theorems, extend easily to holomorphic functions. - [Fractal Dimension for Fractal Structures: With Applications to Finance](https://online.neatra.in/product/fractal-dimension-for-fractal-structures-with-applications-to-finance/): This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure. The fractal dimension is the main invariant of a fractal set, and provides useful information regarding the irregularities it presents when examined at a suitable level of detail. New theoretical models for calculating the fractal dimension of any subset with respect to a fractal structure are posed to generalise both the Hausdorff and box-counting dimensions. Some specific results for self-similar sets are also proved. Unlike classical fractal dimensions, these new models can be used with empirical applications of fractal dimension including non-Euclidean contexts. In addition, the book applies these fractal dimensions to explore long-memory in financial markets. In particular, novel results linking both fractal dimension and the Hurst exponent are provided. As such, the book provides a number of algorithmsfor properly calculating the self-similarity exponent of a wide range of processes, including (fractional) Brownian motion and Lévy stable processes. The algorithms also make it possible to analyse long-memory in real stocks and international indexes. This book is addressed to those researchers interested in fractal geometry, self-similarity patterns, and computational applications involving fractal dimension and Hurst exponent. - [Foundations of Chemical Reaction Network Theory](https://online.neatra.in/product/foundations-of-chemical-reaction-network-theory/): This book provides an authoritative introduction to the rapidly growing field of chemical reaction network theory. In particular, the book presents deep and surprising theorems that relate the graphical and algebraic structure of a reaction network to qualitative properties of the intricate system of nonlinear differential equations that the network induces. Over the course of three main parts, Feinberg provides a gradual transition from a tutorial on the basics of reaction network theory, to a survey of some of its principal theorems, and, finally, to a discussion of the theory’s more technical aspects. Written with great clarity, this book will be of value to mathematicians and to mathematically-inclined biologists, chemists, physicists, and engineers who want to contribute to chemical reaction network theory or make use of its powerful results. - [Fifty Years of Women in Mathematics](https://online.neatra.in/product/fifty-years-of-women-in-mathematics/): The Association for Women in Mathematics (AWM), the oldest organization in the world for women in mathematics, had its fiftieth anniversary in 2021. This collection of refereed articles, illustrated by color photographs, reflects on women in mathematics and the organization as a whole. Some articles focus on the situation for women in mathematics at various times and places, including other countries. Others describe how individuals have shaped AWM, and, in turn, how the organization has impacted individuals as well as the broader mathematical community. Some are personal stories about careers in mathematics. Fifty Years of Women in Mathematics: Reminiscences, History, and Visions for the Future of AWM covers a span from AWM’s beginnings through the following fifty years. The volume celebrates AWM and its successes but does not shy away from its challenges. The book is designed for a general audience. It provides interesting and informative reading for people interested in mathematics, gender equity, or organizational structures| teachers of mathematics| students at the high school, college, and graduate levels| and members of more recently established organizations for women in mathematics and related fields or prospective founders of such organizations. - [Exploring University Mathematics with Python](https://online.neatra.in/product/exploring-university-mathematics-with-python/): This book provides a unique tour of university mathematics with the help of Python. Written in the spirit of mathematical exploration and investigation, the book enables students to utilise Python to enrich their understanding of mathematics through: Calculation: performing complex calculations and numerical simulations instantly Visualisation: demonstrating key theorems with graphs, interactive plots and animations Extension: using numerical findings as inspiration for making deeper, more general conjectures. This book is for all learners of mathematics, with the primary audience being mathematics undergraduates who are curious to see how Python can enhance their understanding of core university material. The topics chosen represent a mathematical overview of what students typically study in the first and second years at university, namely analysis, calculus, vector calculus and geometry, differential equationsand dynamical systems, linear algebra, abstract algebra and number theory, probability and statistics. As such, it can also serve as a preview of university mathematics for high-school students. The prerequisites for reading the book are a familiarity with standard A-Level mathematics (or equivalent senior high-school curricula) and a willingness to learn programming. For mathematics lecturers and teachers, this book is a useful resource on how Python can be seamlessly incorporated into the mathematics syllabus, assuming only basic knowledge of programming. - [Energy Transfers in Atmosphere and Ocean](https://online.neatra.in/product/energy-transfers-in-atmosphere-and-ocean/): This book describes a recent effort combining interdisciplinary expertise within the Collaborative Research Centre “Energy transfers in atmosphere and ocean” (TRR-181), which was funded by the German Research Foundation (DFG). Energy transfers between the three dynamical regimes – small-scale turbulence, internal gravity waves and geostrophically balanced motion – are fundamental to the energy cycle of both the atmosphere and the ocean. Nonetheless, they remain poorly understood and quantified, and have yet to be adequately represented in today’s climate models. Since interactions between the dynamical regimes ultimately link the smallest scales to the largest ones through a range of complex processes, understanding these interactions is essential to constructing atmosphere and ocean models and to predicting the future climate. To this end, TRR 181 combines expertise in applied mathematics, meteorology, and physical oceanography. This book provides an overview of representative specific topics addressed by TRR 181, ranging from - a review of a coherent hierarchy of models using consistent scaling and approximations, and revealing the underlying Hamiltonian structure - a systematic derivation and implementation of stochastic and backscatter parameterisations - an exploration of the dissipation of large-scale mean or eddying balanced flow and ocean eddy parameterisations| and - a study on gravity wave breaking and mixing, the interaction of waves with the mean flow and stratification, wave-wave interactions and gravity wave parameterisations to topics of a more numerical nature such as the spurious mixing and dissipation of advection schemes, and direct numerical simulations of surface waves at the air-sea interface. In TRR 181, the process-oriented topics presented here are complemented by an operationally oriented synthesis focusing on two climate models currently being developed in Germany. In this way, the goal of TRR 181 is to help reduce the biases in and increase the accuracy of atmosphere and ocean models, and ultimately to improve climate models and climate predictions. - [Elliptic Differential Operators and Spectral Analysis](https://online.neatra.in/product/elliptic-differential-operators-and-spectral-analysis/): This book deals with elliptic differential equations, providing the analytic background necessary for the treatment of associated spectral questions, and covering important topics previously scattered throughout the literature.Starting with the basics of elliptic operators and their naturally associated function spaces, the authors then proceed to cover various related topics of current and continuing importance. Particular attention is given to the characterisation of self-adjoint extensions of symmetric operators acting in a Hilbert space and, for elliptic operators, the realisation of such extensions in terms of boundary conditions. A good deal of material not previously available in book form, such as the treatment of the Schauder estimates, is included. Requiring only basic knowledge of measure theory and functional analysis, the book is accessible to graduate students and will be of interest to all researchers in partial differential equations. The reader will value its self-contained, thorough and unified presentation of the modern theory of elliptic operators. - [Elements of the General Theory of Optimal Algorithms](https://online.neatra.in/product/elements-of-the-general-theory-of-optimal-algorithms/): In this monograph, the authors develop a methodology that allows one to construct and substantiate optimal and suboptimal algorithms to solve problems in computational and applied mathematics. Throughout the book, the authors explore well-known and proposed algorithms with a view toward analyzing their quality and the range of their efficiency. The concept of the approach taken is based on several theories (of computations, of optimal algorithms, of interpolation, interlination, and interflatation of functions, to name several). Theoretical principles and practical aspects of testing the quality of algorithms and applied software, are a major component of the exposition. The computer technology in construction of T-efficient algorithms for computing ε-solutions to problems of computational and applied mathematics, is also explored. The readership for this monograph is aimed at scientists, postgraduate students, advanced students, and specialists dealing with issues of developing algorithmic and software support for the solution of problems of computational and applied mathematics. - [Elementary Fixed Point Theorems](https://online.neatra.in/product/elementary-fixed-point-theorems/): This book provides a primary resource in basic fixed-point theorems due to Banach, Brouwer, Schauder and Tarski and their applications. Key topics covered include Sharkovsky’s theorem on periodic points, Thron’s results on the convergence of certain real iterates, Shield’s common fixed theorem for a commuting family of analytic functions and Bergweiler’s existence theorem on fixed points of the composition of certain meromorphic functions with transcendental entire functions. Generalizations of Tarski’s theorem by Merrifield and Stein and Abian’s proof of the equivalence of Bourbaki–Zermelo fixed-point theorem and the Axiom of Choice are described in the setting of posets. A detailed treatment of Ward’s theory of partially ordered topological spaces culminates in Sherrer fixed-point theorem. It elaborates Manka’s proof of the fixed-point property of arcwise connected hereditarily unicoherent continua, based on the connection he observed between set theory and fixed-point theory via a certain partial order. Contraction principle is provided with two proofs: one due to Palais and the other due to Barranga. Applications of the contraction principle include the proofs of algebraic Weierstrass preparation theorem, a Cauchy–Kowalevsky theorem for partial differential equations and the central limit theorem. It also provides a proof of the converse of the contraction principle due to Jachymski, a proof of fixed point theorem for continuous generalized contractions, a proof of Browder–Gohde–Kirk fixed point theorem, a proof of Stalling's generalization of Brouwer's theorem, examine Caristi's fixed point theorem, and highlights Kakutani's theorems on common fixed points and their applications. - [Dynamical Systems by Example](https://online.neatra.in/product/dynamical-systems-by-example/): This book comprises an impressive collection of problems that cover a variety of carefully selected topics on the core of the theory of dynamical systems. Aimed at the graduate/upper undergraduate level, the emphasis is on dynamical systems with discrete time. In addition to the basic theory, the topics include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as basic ergodic theory. As in other areas of mathematics, one can gain the first working knowledge of a topic by solving selected problems. It is rare to find large collections of problems in an advanced field of study much less to discover accompanying detailed solutions. This text fills a gap and can be used as a strong companion to an analogous dynamical systems textbook such as the authors’ own Dynamical Systems (Universitext, Springer) or another text designed for a one- or two-semester advanced undergraduate/graduate course. The book is also intended for independent study. Problems often begin with specific cases and then move on to general results, following a natural path of learning. They are also well-graded in terms of increasing the challenge to the reader. Anyone who works through the theory and problems in Part I will have acquired the background and techniques needed to do advanced studies in this area. Part II includes complete solutions to every problem given in Part I with each conveniently restated. Beyond basic prerequisites from linear algebra, differential and integral calculus, and complex analysis and topology, in each chapter the authors recall the notions and results (without proofs) that are necessary to treat the challenges set for that chapter, thus making the text self-contained. - [Drinfeld Modules](https://online.neatra.in/product/drinfeld-modules/): This textbook offers an introduction to the theory of Drinfeld modules, mathematical objects that are fundamental to modern number theory. After the first two chapters conveniently recalling prerequisites from abstract algebra and non-Archimedean analysis, Chapter 3 introduces Drinfeld modules and the key notions of isogenies and torsion points. Over the next four chapters, Drinfeld modules are studied in settings of various fields of arithmetic importance, culminating in the case of global fields. Throughout, numerous number-theoretic applications are discussed, and the analogies between classical and function field arithmetic are emphasized. Drinfeld Modules guides readers from the basics to research topics in function field arithmetic, assuming only familiarity with graduate-level abstract algebra as prerequisite. With exercises of varying difficulty included in each section, the book is designed to be used as the primary textbook for a graduate course on the topic, and may also provide a supplementary reference for courses in algebraic number theory, elliptic curves, and related fields. Furthermore, researchers in algebra and number theory will appreciate it as a self-contained reference on the topic. - [Disjunctive Programming](https://online.neatra.in/product/disjunctive-programming/): Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business. - [Discrete Energy on Rectifiable Sets](https://online.neatra.in/product/discrete-energy-on-rectifiable-sets/): This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations. Written by leading authorities on the topic, this treatise is designed with the graduate student and further explorers in mind. The presentation includes a chapter of preliminaries and an extensive Appendix that augments a course in Real Analysis and makes the text self-contained. Along with numerous attractive full-color images, the exposition conveys the beauty of the subject and its connection to several branches of mathematics, computational methods, and physical/biological applications. This work is destined to be a valuable research resource for such topics as packing and covering problems, generalizations of the famous Thomson Problem, and classical potential theory in Rd. It features three chapters dealing with point distributions on the sphere, including an extensive treatment of Delsarte–Yudin–Levenshtein linear programming methods for lower bounding energy, a thorough treatment of Cohn–Kumar universality, and a comparison of 'popular methods' for uniformly distributing points on the two-dimensional sphere. Some unique features of the work are its treatment of Gauss-type kernels for periodic energy problems, its asymptotic analysis of minimizing point configurations for non-integrable Riesz potentials (the so-called Poppy-seed bagel theorems), its applications to the generation of non-structured grids of prescribed densities, and its closing chapter on optimal discrete measures for Chebyshev (polarization) problems. - [Dirichlet: A Mathematical Biography](https://online.neatra.in/product/dirichlet-a-mathematical-biography/): This is the first extensive biography of the influential German mathematician, Peter Gustav Lejeune Dirichlet (1805 – 1859). Dirichlet made major contributions to number theory in addition to clarifying concepts such as the representation of functions as series, the theory of convergence, and potential theory. His mathematical methodology was explicitly based on a thorough knowledge of the work of his predecessors and his belief in the underlying unity of the branches of mathematics. This unified approach is exemplified in a paper that effectively launched the field of analytic number theory. The same orientation pervaded his teaching, which had a profound influence on the work of many mathematicians of subsequent generations. Chapters dealing with his mathematical work alternate with biographical chapters that place Dirichlet’s life and those of some of his notable associates in the context of the political, social, and artistic culture of the period. This book will appeal notonly to mathematicians but also to historians of mathematics and sciences, and readers interested in the cultural and intellectual history of the nineteenth century. - [Direct Methods in Control Problems](https://online.neatra.in/product/direct-methods-in-control-problems/): The primary focus of this book is on explicating the direct method approach. Historically, direct methods have not been fully exploited in control problems. The key is constructing convergent minimizing families. Integration methods (for example the gradient method) and representation methods (such as the Ritz-Galerkin and Finite Element methods) are examined in this text in an abstract (with concrete examples) functional analytic way. The aim is to consider direct methods from a unified general point of view and to provide a stimulus for future research. Explicitly, implicitly and by example, potential areas of research interest are indicated. The book is a suitable reference for graduate students, researchers, applied mathematicians, and control engineers. Some of the material is of independent mathematical interest. The work may be used as a text for a graduate course or seminar on direct methods in control. A degree of mathematical sophistication and some knowledge of control theory is required. - [Diophantine Geometry: An Introduction](https://online.neatra.in/product/diophantine-geometry-an-introduction/): This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises. - [Differential Geometry: Cartan's Generalization of Klein's Erlangen Program](https://online.neatra.in/product/differential-geometry-cartans-generalization-of-kleins-erlangen-program/): Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the great beauty and conceptual power they confer on geometry. The aim of the present book is to fill the gap in the literature on differential geometry by the missing notion of Cartan connections. Although the author had in mind a book accessible to graduate students, potential readers would also include working differential geometers who would like to know more about what Cartan did, which was to give a notion of "espaces généralisés" (= Cartan geometries) generalizing homogeneous spaces (= Klein geometries) in the same way that Riemannian geometry generalizes Euclidean geometry. In addition, physicists will be interested to see the fully satisfying way in which their gauge theory can be truly regarded as geometry. - [Differential Equations on Measures and Functional Spaces](https://online.neatra.in/product/differential-equations-on-measures-and-functional-spaces/): This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. It briefly discusses the fundamentals before moving on to the cutting edge research in linear and nonlinear partial and pseudo-differential equations, general kinetic equations and fractional evolutions. The level of generality chosen is suitable for the study of the most important nonlinear equations of mathematical physics, such as Boltzmann, Smoluchovskii, Vlasov, Landau-Fokker-Planck, Cahn-Hilliard, Hamilton-Jacobi-Bellman, nonlinear Schroedinger, McKean-Vlasov diffusions and their nonlocal extensions, mass-action-law kinetics from chemistry. It also covers nonlinear evolutions arising in evolutionary biology and mean-field games, optimization theory, epidemics and system biology, in general models of interacting particles or agents describing splitting and merging, collisions and breakage, mutations and the preferential-attachment growth on networks. The book is intended mainly for upper undergraduate and graduate students, but is also of use to researchers in differential equations and their applications. It particularly highlights the interconnections between various topics revealing where and how a particular result is used in other chapters or may be used in other contexts, and also clarifies the links between the languages of pseudo-differential operators, generalized functions, operator theory, abstract linear spaces, fractional calculus and path integrals. - [Cryptology and Error Correction: An Algebraic Introduction and Real-World Applications](https://online.neatra.in/product/cryptology-and-error-correction-an-algebraic-introduction-and-real-world-applications/): This text presents a careful introduction to methods of cryptology and error correction in wide use throughout the world and the concepts of abstract algebra and number theory that are essential for understanding these methods. The objective is to provide a thorough understanding of RSA, Diffie–Hellman, and Blum–Goldwasser cryptosystems and Hamming and Reed–Solomon error correction: how they are constructed, how they are made to work efficiently, and also how they can be attacked. To reach that level of understanding requires and motivates many ideas found in a first course in abstract algebra—rings, fields, finite abelian groups, basic theory of numbers, computational number theory, homomorphisms, ideals, and cosets. Those who complete this book will have gained a solid mathematical foundation for more specialized applied courses on cryptology or error correction, and should also be well prepared, both in concepts and in motivation, to pursue more advanced study in algebra and number theory. This text is suitable for classroom or online use or for independent study. Aimed at students in mathematics, computer science, and engineering, the prerequisite includes one or two years of a standard calculus sequence. Ideally the reader will also take a concurrent course in linear algebra or elementary matrix theory. A solutions manual for the 400 exercises in the book is available to instructors who adopt the text for their course. - [Aeroservoelasticity: Modeling and Control](https://online.neatra.in/product/aeroservoelasticity-modeling-and-control/): First book on aeroservoelastic modeling and analysis Presents aeroservoelasticity in the modern controls context by multivariable, state-space methods including robust, nonlinear, and adaptive control techniques Comprehensive and unique treatment of diverse unsteady aerodynamics and structural dynamics concepts, from first principles to numerical modeling Includes practical and realistic aeroservoelastic application examples derived from actual experiments Includes supplementary material: sn.pub/extras - [Adventures in Graph Theory](https://online.neatra.in/product/adventures-in-graph-theory/): Interdisciplinary textbook that does not assume a strong math background Presents recent results in mathematics relevant to graph theory Includes Sage code to explicitly illustrate computations Includes supplementary material: sn.pub/extras - [Advances in Trefftz Methods and Their Applications](https://online.neatra.in/product/advances-in-trefftz-methods-and-their-applications/): Presents a general mathematical background for Trefftz methods Show the performance of the methods in several engineering applications, and a wide range of problems and techniques A large number of figures illustrate the performance of the method and relevant engineering applications - [Advances in Stochastic and Deterministic Global Optimization](https://online.neatra.in/product/advances-in-stochastic-and-deterministic-global-optimization/): Current research results in stochastic and deterministic global optimization including single and multiple objectives are explored and presented in this book by leading specialists from various fields. - [Advances in Real and Complex Analysis with Applications](https://online.neatra.in/product/advances-in-real-and-complex-analysis-with-applications/): This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples. - [Advances in Proof Theory](https://online.neatra.in/product/advances-in-proof-theory/): The aim of this volume is to collect original contributions by the best specialists from the area of proof theory, constructivity, and computation and discuss recent trends and results in these areas. Some emphasis will be put on ordinal analysis, reductive proof theory, explicit mathematics and type-theoretic formalisms, and abstract computations. - [Advances in Optimization and Decision Science for Society, Services and Enterprises](https://online.neatra.in/product/advances-in-optimization-and-decision-science-for-society-services-and-enterprises/): The contributions included in the volume are drawn from presentations at ODS2019 – International Conference on Optimization and Decision Science, which was the 49th annual meeting of the Italian Operations Research Society (AIRO) held at Genoa, Italy, on 4-7 September 2019. This book presents very recent results in the field of Optimization and Decision Science. - [Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness](https://online.neatra.in/product/advances-in-nonlinear-analysis-via-the-concept-of-measure-of-noncompactness/): This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. - [Advances in Noncommutative Geometry: On the Occasion of Alain Connes' 70th Birthday](https://online.neatra.in/product/advances-in-noncommutative-geometry-on-the-occasion-of-alain-connes-70th-birthday/): This authoritative volume in honor of Alain Connes, the foremost architect of Noncommutative Geometry, presents the state-of-the art in the subject. The book features an amalgam of invited survey and research papers that will no doubt be accessed, read, and referred to, for several decades to come. - [Advances in Modeling and Simulation: Festschrift for Pierre L'Ecuyer](https://online.neatra.in/product/advances-in-modeling-and-simulation-festschrift-for-pierre-lecuyer/): This book celebrates the career of Pierre L’Ecuyer on the occasion of his 70th birthday. Pierre has made significant contributions to the fields of simulation, modeling, and operations research over the last 40 years. - [Advances in Matrix Inequalities](https://online.neatra.in/product/advances-in-matrix-inequalities/): Detailed proofs for all the main theorems and relevant technical lemmas are presented Accessible to researchers, graduate students, engineers, physicists, economists Unifies theorems and applications - [Advances in Mathematical Sciences: AWM Research Symposium, Houston, TX, April 2019](https://online.neatra.in/product/advances-in-mathematical-sciences-awm-research-symposium-houston-tx-april-2019/): This volume highlights the mathematical research presented at the 2019 Association for Women in Mathematics (AWM) Research Symposium held at Rice University, April 6-7, 2019. - [Advances in Mathematical Economics: Volume 22](https://online.neatra.in/product/advances-in-mathematical-economics-volume-22/): The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. - [Advances in Mathematical Economics Volume 20](https://online.neatra.in/product/advances-in-mathematical-economics-volume-20/): The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research. - [Advances in Iterative Methods for Nonlinear Equations](https://online.neatra.in/product/advances-in-iterative-methods-for-nonlinear-equations/): This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. - [Advances in Dynamic and Evolutionary Games: Theory, Applications, and Numerical Methods](https://online.neatra.in/product/advances-in-dynamic-and-evolutionary-games-theory-applications-and-numerical-methods/): This contributed volume considers recent advances in dynamic games and their applications, based on presentations given at the 16th Symposium of the International Society of Dynamic Games, held July 9-12, 2014, in Amsterdam. Written by experts in their respective disciplines, these papers cover various aspects of dynamic game theory including differential games, evolutionary games, and stochastic games. - [Advances in Data Science](https://online.neatra.in/product/advances-in-data-science/): Reports cutting-edge methodologies in data science Involves various types of data, offering strong potential for idea exchange and new applications Features highly interdisciplinary research problems, promoting cross-field collaboration - [Advances in Computational Methods and Technologies in Aeronautics and Industry](https://online.neatra.in/product/advances-in-computational-methods-and-technologies-in-aeronautics-and-industry/): This book provides research results using computational methods for fluid dynamics and engineering problems in aeronautics and other scientific and industrial applications. It gives an overview on the state of the art and the technology trends requiring advanced computational methods towards digitization in industrial and scientific processes. - [Advanced Topics in the Arithmetic of Elliptic Curves](https://online.neatra.in/product/advanced-topics-in-the-arithmetic-of-elliptic-curves/): In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. - [Advanced Topics in Relation Algebras: Relation Algebras, Volume 2](https://online.neatra.in/product/advanced-topics-in-relation-algebras-relation-algebras-volume-2/): The second volume of a pair that charts relation algebras from novice to expert level, this text brings the well-grounded reader to the frontiers of research. Building on the foundations established in the preceding Introduction to Relation Algebras, this volume advances the reader into the deeper mathematical results of the past few decades. - [Advanced Topics in Computational Number Theory](https://online.neatra.in/product/advanced-topics-in-computational-number-theory/): The computation of invariants of algebraic number fields such as integral bases, discriminants, prime decompositions, ideal class groups, and unit groups is important both for its own sake and for its numerous applications, for example, to the solution of Diophantine equations. The practical com­ pletion of this task (sometimes known as the Dedekind program) has been one of the major achievements of computational number theory in the past ten years, thanks to the efforts of many people. - [Advanced Statistics for Testing Assumed Causal Relationships: Multiple Regression Analysis Path Analysis Logistic Regression Analysis](https://online.neatra.in/product/advanced-statistics-for-testing-assumed-causal-relationships-multiple-regression-analysis-path-analysis-logistic-regression-analysis/): This book concentrates on linear regression, path analysis and logistic regressions, the most used statistical techniques for the test of causal relationships. Its emphasis is on the conceptions and applications of the techniques by using simple examples without requesting any mathematical knowledge. - [Advanced Optimization and Operations Research](https://online.neatra.in/product/advanced-optimization-and-operations-research/): Serves as a textbook for optimization and operations research Discusses topics like dynamic and fuzzy inventory models, infinite game, flow network and optimization of queuing problems Includes a number of solved problems and detailed examples in all chapters Is suitable for coursework and independent study Is fashioned for easy comprehension of the subject matter - [Advanced Methods for Geometric Modeling and Numerical Simulation](https://online.neatra.in/product/advanced-methods-for-geometric-modeling-and-numerical-simulation/): This book gathers selected contributions presented at the INdAM Workshop “DREAMS”, held in Rome, Italy on January 22?26, 2018. - [Advanced Mathematical Analysis: Periodic Functions and Distributions, Complex Analysis, Laplace Transform and Applications](https://online.neatra.in/product/advanced-mathematical-analysis-periodic-functions-and-distributions-complex-analysis-laplace-transform-and-applications/): Once upon a time students of mathematics and students of science or engineering took the same courses in mathematical analysis beyond calculus. Now it is common to separate" advanced mathematics for science and engi­ neering" from what might be called "advanced mathematical analysis for mathematicians." - [Advanced Linear Modeling: Statistical Learning and Dependent Data](https://online.neatra.in/product/advanced-linear-modeling-statistical-learning-and-dependent-data/): Presents a collection of methodologies formulated and developed in the framework of linear models Offers accompanying R code online for the included analyses Features several new chapters, as well as new and expanded coverage in this 3rd edition Designed to be used independently or in conjunction with the theoretical Plane Answers to Complex Questions - [Advanced Linear Algebra](https://online.neatra.in/product/advanced-linear-algebra/): Contains topics that are not generally found in linear algebra books Coverage is especially broad An extensive bibliography has been added Encyclopedic treatment of linear algebra theory, both classical and modern - [Additive Number Theory The Classical Bases](https://online.neatra.in/product/additive-number-theory-the-classical-bases/): [Hilbert's] style has not the terseness of many of our modem authors in mathematics, which is based on the assumption that printer's labor and paper are costly but the reader's effort and time are not. H. Weyl [143] The purpose of this book is to describe the classical problems in additive number theory and to introduce the circle method and the sieve method, which are the basic analytical and combinatorial tools used to attack these problems. - [Active Particles, Volume 3: Advances in Theory, Models, and Applications](https://online.neatra.in/product/active-particles-volume-3-advances-in-theory-models-and-applications/): This edited volume collects six surveys that present state-of-the-art results on modeling, qualitative analysis, and simulation of active matter, focusing on specific applications in the natural sciences. Following the previously published Active Particles volumes, these chapters are written by leading experts in the field and reflect the diversity of subject matter in theory and applications within an interdisciplinary framework. - [Active Particles, Volume 1: Advances in Theory, Models, and Applications](https://online.neatra.in/product/active-particles-volume-1-advances-in-theory-models-and-applications/): This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics. The contributing authors are leading experts working in this challenging field, and each of their chapters provides a review of the most recent results in their areas and looks ahead to future research directions. - [Abstract Algebra](https://online.neatra.in/product/abstract-algebra/): Unique collection of nonstandard topics Clearly written, succinctly presented Contains numerous interrelations between the various topics discussed Accessible discussion of the basic material, combined with a thorough treatment of many advanced topics - [Abelian Groups](https://online.neatra.in/product/abelian-groups/): Highlights the importance of homological algebra and set theory in the modern theory of abelian groups Exposes the reader to the key ideas and modern methods of the subject Provides a convenient reference for results scattered throughout the literature - [A Topology of Mind: Spiral Thought Patterns, the Hyperlinking of Text, Ideas and More](https://online.neatra.in/product/a-topology-of-mind-spiral-thought-patterns-the-hyperlinking-of-text-ideas-and-more/): This volume covers many diverse topics related in varying degrees to mathematics in mind including the mathematical and topological structures of thought and communication. - [A Readable Introduction to Real Mathematics](https://online.neatra.in/product/a-readable-introduction-to-real-mathematics/): Designed for an undergraduate course or for independent study, this text presents sophisticated mathematical ideas in an elementary and friendly fashion. The fundamental purpose of this book is to teach mathematical thinking while conveying the beauty and elegance of mathematics. - [A Qualitative Approach to Inverse Scattering Theory](https://online.neatra.in/product/a-qualitative-approach-to-inverse-scattering-theory/): Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging , nondestructive testing and geophysical exploration. Until recently all existing algorithms for solving inverse scattering problems were based on using either a weak scattering assumption or on the use of nonlinear optimization techniques. - [A Pythagorean Introduction to Number Theory](https://online.neatra.in/product/a-pythagorean-introduction-to-number-theory/): Right triangles are at the heart of this textbook’s vibrant new approach to elementary number theory. Inspired by the familiar Pythagorean theorem, the author invites the reader to ask natural arithmetic questions about right triangles, then proceeds to develop the theory needed to respond. - [A Project-Based Guide to Undergraduate Research in Mathematics](https://online.neatra.in/product/a-project-based-guide-to-undergraduate-research-in-mathematics/): This volume provides accessible and self-contained research problems designed for undergraduate student projects, and simultaneously promotes the development of sustainable undergraduate research programs. The chapters in this work span a variety of topical areas of pure and applied mathematics and mathematics education. - [A Primer of Permutation Statistical Methods](https://online.neatra.in/product/a-primer-of-permutation-statistical-methods/): The primary purpose of this textbook is to introduce the reader to a wide variety of elementary permutation statistical methods. Permutation methods are optimal for small data sets and non-random samples, and are free of distributional assumptions. - [A Primer for Undergraduate Research](https://online.neatra.in/product/a-primer-for-undergraduate-research/): This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader to tackle them with ample background material and references. - [A Parametric Approach to Nonparametric Statistics](https://online.neatra.in/product/a-parametric-approach-to-nonparametric-statistics/): This book demonstrates that nonparametric statistics can be taught from a parametric point of view. As a result, one can exploit various parametric tools such as the use of the likelihood function, penalized likelihood and score functions to not only derive well-known tests but to also go beyond and make use of Bayesian methods to analyze ranking data. - [A Multivariate Claim Count Model for Applications in Insurance](https://online.neatra.in/product/a-multivariate-claim-count-model-for-applications-in-insurance/): This monograph presents a time-dynamic model for multivariate claim counts in actuarial applications. Inspired by real-world claim arrivals, the model balances interesting stylized facts (such as dependence across the components, over-dispersion and the clustering of claims) with a high level of mathematical tractability (including estimation, sampling and convergence results for large portfolios) and can thus be applied in various contexts (such as risk management and pricing of (re-)insurance contracts). - [A Model–Theoretic Approach to Proof Theory](https://online.neatra.in/product/a-model-theoretic-approach-to-proof-theory/): This book presents a detailed treatment of ordinal combinatorics of large sets tailored for independence results. It uses model theoretic and combinatorial methods to obtain results in proof theory, such as incompleteness theorems or a description of the provably total functions of a theory. - [A Mathematical Introduction to Compressive Sensing](https://online.neatra.in/product/a-mathematical-introduction-to-compressive-sensing/): The first textbook completely devoted to the topic of compressive sensing Comprehensive treatment of the subject, including background material from probability theory, detailed proofs of the main theorems, and an outline of possible applications Numerous exercises designed to help students understand the material An extensive bibliography with over 500 references that guide researchers through the literature Includes supplementary material: sn.pub/extras - [A Mathematical Approach to Protein Biophysics](https://online.neatra.in/product/a-mathematical-approach-to-protein-biophysics/): Exercises included at the end of every chapter Mixes protein biology, mathematics, and computing, supporting a multidisciplinary class Includes detailed notes section and glossary Explains many protein features from a more in-depth perspective Includes supplementary material: sn.pub/extras - [A Ludic Journey into Geometric Topology](https://online.neatra.in/product/a-ludic-journey-into-geometric-topology/): This book draws on elements from everyday life, architecture, and the arts to provide the reader with elementary notions of geometric topology. - [A Lifetime of Excursions Through Random Walks and Lévy Processes](https://online.neatra.in/product/a-lifetime-of-excursions-through-random-walks-and-levy-processes/): This collection honours Ron Doney’s work and includes invited articles by his collaborators and friends. After an introduction reviewing Ron Doney’s mathematical achievements and how they have influenced the field, the contributed papers cover both discrete-time processes, including random walks and variants thereof, and continuous-time processes, including Le?vy processes and diffusions. - [A History of Folding in Mathematics: Mathematizing the Margins](https://online.neatra.in/product/a-history-of-folding-in-mathematics-mathematizing-the-margins/): Provides a lucid exposition on the history of the mathematical concept of folding starting from the 16th century Researches the various ways in which mathematical knowledge was and is marginalized Surveys clearly the ways in which mathematical research and mathematical inference procedures were changing during the centuries - [A Guide to Spectral Theory: Applications and Exercises](https://online.neatra.in/product/a-guide-to-spectral-theory-applications-and-exercises/): Illustrates a variety of applications of spectral theory with a focus on quantum physics Provides potential research directions for students and numerous references to more advanced treatments of many topics Guides readers through topics using a progressive, concise approach Allows instructors to easily adapt more advanced concepts to different graduate level courses - [A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions](https://online.neatra.in/product/a-generalization-of-bohr-mollerups-theorem-for-higher-order-convex-functions/): In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function. - [A Fixed-Point Farrago](https://online.neatra.in/product/a-fixed-point-farrago/): This text provides an introduction to some of the best-known fixed-point theorems, with an emphasis on their interactions with topics in analysis. The level of exposition increases gradually throughout the book, building from a basic requirement of undergraduate proficiency to graduate-level sophistication. - [A First Course in Statistics for Signal Analysis](https://online.neatra.in/product/a-first-course-in-statistics-for-signal-analysis/): This essentially self-contained, deliberately compact, and user-friendly textbook is designed for a first, one-semester course in statistical signal analysis for a broad audience of students in engineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationary random signals, explained in a concise, yet fairly rigorous presentation. - [A First Course in Noncommutative Rings](https://online.neatra.in/product/a-first-course-in-noncommutative-rings/): A First Course in Noncommutative Rings, an outgrowth of the author's lectures at the University of California at Berkeley, is intended as a textbook for a one-semester course in basic ring theory. The material covered includes the Wedderburn-Artin theory of semisimple rings, Jacobson's theory of the radical, representation theory of groups and algebras, prime and semiprime rings, local and semilocal rings, perfect and semiperfect rings, etc. - [A First Course in Modular Forms](https://online.neatra.in/product/a-first-course-in-modular-forms/): Covers many topics not covered in other texts on elliptic curves Includes supplementary material: sn.pub/extras - [A First Course in Differential Equations](https://online.neatra.in/product/a-first-course-in-differential-equations/): Presents a thorough treatment of the standard topics in an accessible, easy-to-read, format Illuminates mathematical theory with a wide variety of applications, appealing to students in physics, engineering, the biosciences, economics and mathematics Provides many more exercises and worked examples in third edition Review with practice problems and Matlab(R) supplement included as Appendices Solutions to even-numbered exercises available on springer.com Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material - [A Critical Edition of Ibn al-Haytham’s On the Shape of the Eclipse: The First Experimental Study of the Camera Obscura](https://online.neatra.in/product/a-critical-edition-of-ibn-al-haythams-on-the-shape-of-the-eclipse-the-first-experimental-study-of-the-camera-obscura/): This book provides the first critical edition of Ibn al-Haytham’s On the Shape of the Eclipse with English translation and commentary, which records the first scientific analysis of the camera obscura. On the Shape of the Eclipse includes pioneering research on the conditions of formation of the image, in a time deemed to be committed to aniconism. - [A Cp-Theory Problem Book](https://online.neatra.in/product/a-cp-theory-problem-book/): This fourth volume in Vladimir Tkachuk's series on Cp-theory gives reasonably complete coverage of the theory of functional equivalencies through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory, the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research. - [A Course on Basic Model Theory](https://online.neatra.in/product/a-course-on-basic-model-theory/): This self-contained book is an exposition of the fundamental ideas of model theory. It presents the necessary background from logic, set theory and other topics of mathematics. Only some degree of mathematical maturity and willingness to assimilate ideas from diverse areas are required. - [A Course in the Theory of Groups](https://online.neatra.in/product/a-course-in-the-theory-of-groups/): A Course in the Theory of Groups is a comprehensive introduction to the theory of groups - finite and infinite, commutative and non-commutative. Presupposing only a basic knowledge of modern algebra, it introduces the reader to the different branches of group theory and to its principal accomplishments. - [A Course in p-adic Analysis](https://online.neatra.in/product/a-course-in-p-adic-analysis/): Kurt Hensel (1861-1941) discovered the p-adic numbers around the turn of the century. These exotic numbers (or so they appeared at first) are now well-established in the mathematical world and used more and more by physicists as well. This book offers a self-contained presentation of basic p-adic analysis. - [A Course in Number Theory and Cryptography](https://online.neatra.in/product/a-course-in-number-theory-and-cryptography/) - [A Course in Mathematical Logic for Mathematicians](https://online.neatra.in/product/a-course-in-mathematical-logic-for-mathematicians/): Contains a new chapter on categorical approach to theory of computations, quantum computations, and P/NP problem New chapter containing basic results of Model Theory and its applications to mainstream mathematics Presents several highlights of mathematical logic of the 20th century including Gödel's and Tarski's Theorems, Cohen's Theorem on the independence of Continuum Hypothesis Complete proof of Davis-Putnam-Robinson-Matiyasevich theorem Discusses Kolmogorov complexity Includes supplementary material: sn.pub/extras - [A Course in Homological Algebra](https://online.neatra.in/product/a-course-in-homological-algebra/): The first section of this chapter describes how homological algebra arose by abstraction from algebraic topology and how it has contributed to the knowledge of topology. The other four sections describe applications of the methods and results of homological algebra to other parts of algebra. - [A Course in Functional Analysis](https://online.neatra.in/product/a-course-in-functional-analysis/): Functional analysis has become a sufficiently large area of mathematics that it is possible to find two research mathematicians, both of whom call themselves functional analysts, who have great difficulty understanding the work of the other. The common thread is the existence of a linear space with a topology or two (or more). - [A Course in Enumeration](https://online.neatra.in/product/a-course-in-enumeration/): Includes supplementary material: sn.pub/extras - [A Course in Computational Algebraic Number Theory](https://online.neatra.in/product/a-course-in-computational-algebraic-number-theory/): Immediate bestselling graduate textbook - [A Course in Commutative Banach Algebras](https://online.neatra.in/product/a-course-in-commutative-banach-algebras/): Author has carefully chosen the most important topics within Banach algebra theory Incorporates recent advances concerning so-called spectral extension properties and the unique uniform norm property Investigates projective tensor products under all aspects of the book Exercises are plentiful throughout the text Class-tested at the University of Heidelberg, Technical University of Munich, and University of Paderborn Includes supplementary material: sn.pub/extras - [A Course in Commutative Algebra](https://online.neatra.in/product/a-course-in-commutative-algebra/): Excellently written textbook in commutative algebra Book makes getting into the subject easier for students than with existing works Many illustrative examples and exercises Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material - [A Course in Calculus and Real Analysis](https://online.neatra.in/product/a-course-in-calculus-and-real-analysis/): Offers a unified exposition of single-variable calculus and classical real analysis Contains a chapter on sequences and series of real-valued functions of a real variable Features two new appendices that offer a construction of real numbers Includes supplementary material: sn.pub/extras - [A Classical Introduction to Modern Number Theory](https://online.neatra.in/product/a-classical-introduction-to-modern-number-theory/): Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. - [A Brief Journey in Discrete Mathematics](https://online.neatra.in/product/a-brief-journey-in-discrete-mathematics/): The goal of this book is to showcase the beauty of mathematics as revealed in nine topics of discrete mathematics. In each chapter, properties are explored through a series of straightforward questions that terminate with results that lie at the doorstep of a field of study. - [A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds](https://online.neatra.in/product/a-brief-introduction-to-berezin-toeplitz-operators-on-compact-kahler-manifolds/): Presents the first introduction to the subject for non-specialists Requires only a basic knowledge of differential geometry and analysis First chapters review the necessary geometric notions to study the field Includes several exercises and examples serving as tutorials or exam problems - [A Brief History of Analysis: With Emphasis on Philosophy, Concepts, and Numbers, Including Weierstraß' Real Numbers](https://online.neatra.in/product/a-brief-history-of-analysis-with-emphasis-on-philosophy-concepts-and-numbers-including-weierstras-real-numbers/): This book explores the origins of mathematical analysis in an accessible, clear, and precise manner. Concepts such as function, continuity, and convergence are presented with a unique historical point of view. In part, this is accomplished by investigating the impact of and connections between famous figures, like Newton, Leibniz, Johann Bernoulli, Euler, and more. - [A Birman-Schwinger Principle in Galactic Dynamics](https://online.neatra.in/product/a-birman-schwinger-principle-in-galactic-dynamics/): Connects a mathematical principle used in quantum mechanics to the study of steady state solutions in galactic dynamics Presents a novel result in great detail Includes appendices that cover necessary background material - [500 Examples and Problems of Applied Differential Equations](https://online.neatra.in/product/500-examples-and-problems-of-applied-differential-equations/): Highlights an unprecedented number of real-life applications of differential equations and systems Includes problems in biomathematics, finance, engineering, physics, and even societal ones like rumors and love Includes selected challenges to motivate further research in this field - [2019-20 MATRIX Annals](https://online.neatra.in/product/2019-20-matrix-annals/): MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. - [2016 MATRIX Annals](https://online.neatra.in/product/2016-matrix-annals/): MATRIX is Australia’s international, residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each lasting 1-4 weeks. - [100+1 Problems in Advanced Calculus](https://online.neatra.in/product/1001-problems-in-advanced-calculus/): This book convenes a collection of carefully selected problems in mathematical analysis, crafted to achieve maximum synergy between analytic geometry and algebra and favoring mathematical creativity in contrast to mere repetitive techniques. With eight chapters, this work guides the student through the basic principles of the subject, with a level of complexity that requires good use of imagination. - [Introduction to Complex Analysis](https://online.neatra.in/product/introduction-to-complex-analysis/): In this text, the reader will learn that all the basic functions that arise in calculus—such as powers and fractional powers, exponentials and logs, trigonometric functions and their inverses, as well as many new functions that the reader will meet—are naturally defined for complex arguments. - [When Form Becomes Substance: Power of Gestures, Diagrammatical Intuition and Phenomenology of Space](https://online.neatra.in/product/when-form-becomes-substance-power-of-gestures-diagrammatical-intuition-and-phenomenology-of-space/): This interdisciplinary volume collects contributions from experts in their respective fields with as common theme diagrams. Diagrams play a fundamental role in the mathematical visualization and philosophical analysis of forms in space. Some of the most interesting and profound recent developments in contemporary sciences, whether in topology, geometry, dynamic systems theory, quantum field theory or string theory, have been made possible by the introduction of new types of diagrams, which, in addition to their essential role in the discovery of new classes of spaces and phenomena, have contributed to enriching and clarifying the meaning of the operations, structures and properties that are at the heart of these spaces and phenomena. The volume gives a closer look at the scope and the nature of diagrams as constituents of mathematical and physical thought, their function in contemporary artistic work, and appraise, in particular, the actual importance of the diagrams of knots, of braids, of fields, of interaction, of strings in topology and geometry, in quantum physics and in cosmology, but also in theory of perception, in plastic arts and in philosophy. The editors carefully curated this volume to be an inspiration to students and researchers in philosophy, phenomenology, mathematics and the sciences, as well as artists, musicians and the general interested audience. - [Wavelets Theory and Its Applications](https://online.neatra.in/product/wavelets-theory-and-its-applications/): This book provides comprehensive information on the conceptual basis of wavelet theory and it applications. Maintaining an essential balance between mathematical rigour and the practical applications of wavelet theory, the book is closely linked to the wavelet MATLAB toolbox, which is accompanied, wherever applicable, by relevant MATLAB codes. The book is divided into four parts, the first of which is devoted to the mathematical foundations. The second part offers a basic introduction to wavelets. The third part discusses wavelet-based numerical methods for differential equations, while the last part highlights applications of wavelets in other fields. The book is ideally suited as a text for undergraduate and graduate students of mathematics and engineering. - [Upper and Lower Bounds for Stochastic Processes: Decomposition Theorems](https://online.neatra.in/product/upper-and-lower-bounds-for-stochastic-processes-decomposition-theorems/): This book provides an in-depth account of modern methods used to bound the supremum of stochastic processes. Starting from first principles, it takes the reader to the frontier of current research. This second edition has been completely rewritten, offering substantial improvements to the exposition and simplified proofs, as well as new results. The book starts with a thorough account of the generic chaining, a remarkably simple and powerful method to bound a stochastic process that should belong to every probabilist’s toolkit. The effectiveness of the scheme is demonstrated by the characterization of sample boundedness of Gaussian processes. Much of the book is devoted to exploring the wealth of ideas and results generated by thirty years of efforts to extend this result to more general classes of processes, culminating in the recent solution of several key conjectures. A large part of this unique book is devoted to the author’s influential work. While many of the results presented are rather advanced, others bear on the very foundations of probability theory. In addition to providing an invaluable reference for researchers, the book should therefore also be of interest to a wide range of readers. - [Topics in Galois Fields](https://online.neatra.in/product/topics-in-galois-fields/): This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for factoring polynomials over finite fields.We give streamlined and/or clearer proofs for many fundamental results and treat some classical material in an innovative manner. In particular, we emphasize the interplay between arithmetical and structural results, and we introduce Berlekamp algebras in a novel way which provides a deeper understanding of Berlekamp's celebrated factorization algorithm. The book provides a thorough grounding in finite field theory for graduate students and researchers in mathematics. In view of its emphasis on applicable and computational aspects, it is also useful for readers working in information and communication engineering, for instance, in signal processing, coding theory, cryptography or computer science. - [Topics in Cohomological Studies of Algebraic Varieties: Impanga Lecture Notes](https://online.neatra.in/product/topics-in-cohomological-studies-of-algebraic-varieties-impanga-lecture-notes/): The articles in this volume study various cohomological aspects of algebraic varieties: - characteristic classes of singular varieties| - geometry of flag varieties| - cohomological computations for homogeneous spaces| - K-theory of algebraic varieties| - quantum cohomology and Gromov-Witten theory. The main purpose is to give comprehensive introductions to the above topics through a series of "friendly" texts starting from a very elementary level and ending with the discussion of current research. In the articles, the reader will find classical results and methods as well as new ones. Numerous examples will help to understand the mysteries of the cohomological theories presented. The book will be a useful guide to research in the above-mentioned areas. It is adressed to researchers and graduate students in algebraic geometry, algebraic topology, and singularity theory, as well as to mathematicians interested in homogeneous varieties and symmetric functions. Most of the material exposed in the volume has not appeared in books before. Contributors: Paolo Aluffi Michel Brion Anders Skovsted Buch Haibao Duan Ali Ulas Ozgur Kisisel Piotr Pragacz Jörg Schürmann Marek Szyjewski Harry Tamvakis - [Theory of Besov Spaces](https://online.neatra.in/product/theory-of-besov-spaces/): This is a self-contained textbook of the theory of Besov spaces and Triebel–Lizorkin spaces oriented toward applications to partial differential equations and problems of harmonic analysis. These include a priori estimates of elliptic differential equations, the T1 theorem, pseudo-differential operators, the generator of semi-group and spaces on domains, and the Kato problem. Various function spaces are introduced to overcome the shortcomings of Besov spaces and Triebel–Lizorkin spaces as well. The only prior knowledge required of readers is familiarity with integration theory and some elementary functional analysis.Illustrations are included to show the complicated way in which spaces are defined. Owing to that complexity, many definitions are required. The necessary terminology is provided at the outset, and the theory of distributions, L^p spaces, the Hardy–Littlewood maximal operator, and the singular integral operators are called upon. One of the highlights is that the proof of the Sobolev embedding theorem is extremely simple. There are two types for each function space: a homogeneous one and an inhomogeneous one. The theory of function spaces, which readers usually learn in a standard course, can be readily applied to the inhomogeneous one. However, that theory is not sufficient for a homogeneous space| it needs to be reinforced with some knowledge of the theory of distributions. This topic, however subtle, is also covered within this volume. Additionally, related function spaces—Hardy spaces, bounded mean oscillation spaces, and Hölder continuous spaces—are defined and discussed, and it is shown that they are special cases of Besov spaces and Triebel–Lizorkin spaces. - [Theory and Applications of Abstract Semilinear Cauchy Problems](https://online.neatra.in/product/theory-and-applications-of-abstract-semilinear-cauchy-problems/): Several types of differential equations, such as functional differential equation, age-structured models, transport equations, reaction-diffusion equations, and partial differential equations with delay, can be formulated as abstract Cauchy problems with non-dense domain. This monograph provides a self-contained and comprehensive presentation of the fundamental theory of non-densely defined semilinear Cauchy problems and their applications. Starting from the classical Hille-Yosida theorem, semigroup method, and spectral theory, this monograph introduces the abstract Cauchy problems with non-dense domain, integrated semigroups, the existence of integrated solutions, positivity of solutions, Lipschitz perturbation, differentiability of solutions with respect to the state variable, and time differentiability of solutions. Combining the functional analysis method and bifurcation approach in dynamical systems, then the nonlinear dynamics such as the stability of equilibria, center manifoldtheory, Hopf bifurcation, and normal form theory are established for abstract Cauchy problems with non-dense domain. Finally applications to functional differential equations, age-structured models, and parabolic equations are presented. This monograph will be very valuable for graduate students and researchers in the fields of abstract Cauchy problems, infinite dimensional dynamical systems, and their applications in biological, chemical, medical, and physical problems. - [The Story of Algebraic Numbers in the First Half of the 20th Century](https://online.neatra.in/product/the-story-of-algebraic-numbers-in-the-first-half-of-the-20th-century/): The book is aimed at people working in number theory or at least interested in this part of mathematics. It presents the development of the theory of algebraic numbers up to the year 1950 and contains a rather complete bibliography of that period. The reader will get information about results obtained before 1950. It is hoped that this may be helpful in preventing rediscoveries of old results, and might also inspire the reader to look at the work done earlier, which may hide some ideas which could be applied in contemporary research. - [The Logical Syntax of Greek Mathematics](https://online.neatra.in/product/the-logical-syntax-of-greek-mathematics/): The aim of this monograph is to describe Greek mathematics as a literary product, studying its style from a logico-syntactic point of view and setting parallels with logical and grammatical doctrines developed in antiquity. In this way, major philosophical themes such as the expression of mathematical generality and the selection of criteria of validity for arguments can be treated without anachronism. Thus, the book is of interest for both historians of ancient philosophy and specialists in Ancient Greek, in addition to historians of mathematics. This volume is divided into five parts, ordered in decreasing size of the linguistic units involved. The first part describes the three stylistic codes of Greek mathematics| the second expounds in detail the mechanism of 'validation'| the third deals with the status of mathematical objects and the problem of mathematical generality| the fourth analyzes the main features of the 'deductive machine,' i.e. the suprasentential logical system dictated by the traditional division of a mathematical proposition into enunciation, setting-out, construction, and proof| and the fifth deals with the sentential logical system of a mathematical proposition, with special emphasis on quantification, modalities, and connectors. A number of complementary appendices are included as well. - [The Gröbner Cover](https://online.neatra.in/product/the-grobner-cover/): This book is divided into two parts, one theoretical and one focusing on applications, and offers a complete description of the Canonical Gröbner Cover, the most accurate algebraic method for discussing parametric polynomial systems. It also includes applications to the Automatic Deduction of Geometric Theorems, Loci Computation and Envelopes. The theoretical part is a self-contained exposition on the theory of Parametric Gröbner Systems and Bases. It begins with Weispfenning’s introduction of Comprehensive Gröbner Systems (CGS) in 1992, and provides a complete description of the Gröbner Cover (GC), which includes a canonical discussion of a set of parametric polynomial equations developed by Michael Wibmer and the author. In turn, the application part selects three problems for which the Gröbner Cover offers valuable new perspectives. The automatic deduction of geometric theorems (ADGT) becomes fully automatic and straightforward using GC, representing a major improvement on all previous methods. In terms of loci and envelope computation, GC makes it possible to introduce a taxonomy of the components and automatically compute it. The book also generalizes the definition of the envelope of a family of hypersurfaces, and provides algorithms for its computation, as well as for discussing how to determine the real envelope. All the algorithms described here have also been included in the software library “grobcov.lib” implemented in Singular by the author, and serve as a User Manual for it. - [The Brauer–Grothendieck Group](https://online.neatra.in/product/the-brauer-grothendieck-group/): This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to Diophantine equations and algebraic geometry was discovered soon after this group was introduced by Grothendieck. The Brauer–Manin obstruction plays a crucial role in the study of rational points on varieties over global fields. The birational invariance of the Brauer group was recently used in a novel way to establish the irrationality of many new classes of algebraic varieties. The book covers the vast theory underpinning these and other applications. Intended as an introduction to cohomological methods in algebraic geometry, most of the book is accessible to readers with a knowledge of algebra, algebraic geometry and algebraic number theory at graduate level. Much of the more advanced material is not readily available in book form elsewhere| notably, de Jong’s proof of Gabber’s theorem, the specialisation method and applications of the Brauer group to rationality questions, an in-depth study of the Brauer–Manin obstruction, and proof of the finiteness theorem for the Brauer group of abelian varieties and K3 surfaces over finitely generated fields. The book surveys recent work but also gives detailed proofs of basic theorems, maintaining a balance between general theory and concrete examples. Over half a century after Grothendieck's foundational seminars on the topic, The Brauer–Grothendieck Group is a treatise that fills a longstanding gap in the literature, providing researchers, including research students, with a valuable reference on a central object of algebraic and arithmetic geometry. - [The Abel Prize 2013-2017](https://online.neatra.in/product/the-abel-prize-2013-2017/): The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013)| Yakov G. Sinai (2014)| John Nash Jr. and Louis Nirenberg (2015)| Sir Andrew Wiles (2016)| and Yves Meyer (2017). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos for the period 2003–2017 showing many of the additional activities connected with the Abel Prize. As an added feature, video interviews with the Laureates as well as videos from the prize ceremony are provided at an accompanying website (http://extras.springer.com/). This book follows on The Abel Prize: 2003-2007. The First Five Years (Springer, 2010) and The Abel Prize 2008-2012 (Springer 2014), which profile the work of the previous Abel Prize winners. - [Temporal Type Theory](https://online.neatra.in/product/temporal-type-theory/): This innovative monograph explores a new mathematical formalism in higher-order temporal logic for proving properties about the behavior of systems. Developed by the authors, the goal of this novel approach is to explain what occurs when multiple, distinct system components interact by using a category-theoretic description of behavior types based on sheaves. The authors demonstrate how to analyze the behaviors of elements in continuous and discrete dynamical systems so that each can be translated and compared to one another. Their temporal logic is also flexible enough that it can serve as a framework for other logics that work with similar models. The book begins with a discussion of behavior types, interval domains, and translation invariance, which serves as the groundwork for temporal type theory. From there, the authors lay out the logical preliminaries they need for their temporal modalities and explain the soundness of those logical semantics. These results are then applied to hybrid dynamical systems, differential equations, and labeled transition systems. A case study involving aircraft separation within the National Airspace System is provided to illustrate temporal type theory in action. Researchers in computer science, logic, and mathematics interested in topos-theoretic and category-theory-friendly approaches to system behavior will find this monograph to be an important resource. It can also serve as a supplemental text for a specialized graduate topics course. - [Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States](https://online.neatra.in/product/superlinear-parabolic-problems-blow-up-global-existence-and-steady-states/): This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. This class of problems contains, in particular, a number of reaction-diffusion systems which arise in various mathematical models, especially in chemistry, physics and biology. The first two chapters introduce to the field and enable the reader to get acquainted with the main ideas by studying simple model problems, respectively of elliptic and parabolic type. The subsequent three chapters are devoted to problems with more complex structure| namely, elliptic and parabolic systems, equations with gradient depending nonlinearities, and nonlocal equations. They include many developments which reflect several aspects of current research. Although the techniques introduced in the first two chapters provide efficient tools to attack some aspects of these problems, they often display new phenomena and specifically different behaviors, whose study requires new ideas. Many open problems are mentioned and commented.The book is self-contained and up-to-date, it has a high didactic quality. It is devoted to problems that are intensively studied but have not been treated so far in depth in the book literature. The intended audience includes graduate and postgraduate students and researchers working in the field of partial differential equations and applied mathematics.The first edition of this book has become one of the standard references in the field. This second edition provides a revised text and contains a number of updates reflecting significant recent advances that have appeared in this growing field since the first edition. - [Submanifold Theory: Beyond an Introduction](https://online.neatra.in/product/submanifold-theory-beyond-an-introduction/): This book provides a comprehensive introduction to Submanifold theory, focusing on general properties of isometric and conformal immersions of Riemannian manifolds into space forms. One main theme is the isometric and conformal deformation problem for submanifolds of arbitrary dimension and codimension. Several relevant classes of submanifolds are also discussed, including constant curvature submanifolds, submanifolds of nonpositive extrinsic curvature, conformally flat submanifolds and real Kaehler submanifolds. This is the first textbook to treat a substantial proportion of the material presented here. The first chapters are suitable for an introductory course on Submanifold theory for students with a basic background on Riemannian geometry. The remaining chapters could be used in a more advanced course by students aiming at initiating research on the subject, and are also intended to serve as a reference for specialists in the field. - [Structured Matrices in Numerical Linear Algebra](https://online.neatra.in/product/structured-matrices-in-numerical-linear-algebra/): This book gathers selected contributions presented at the INdAM Meeting Structured Matrices in Numerical Linear Algebra: Analysis, Algorithms and Applications, held in Cortona, Italy on September 4-8, 2017. Highlights cutting-edge research on Structured Matrix Analysis, it covers theoretical issues, computational aspects, and applications alike. The contributions, written by authors from the foremost international groups in the community, trace the main research lines and treat the main problems of current interest in this field. The book offers a valuable resource for all scholars who are interested in this topic, including researchers, PhD students and post-docs. - [Stochastic Flows and Jump-Diffusions](https://online.neatra.in/product/stochastic-flows-and-jump-diffusions/): This monograph presents a modern treatment of (1) stochastic differential equations and (2) diffusion and jump-diffusion processes. The simultaneous treatment of diffusion processes and jump processes in this book is unique: Each chapter starts from continuous processes and then proceeds to processes with jumps.In the first part of the book, it is shown that solutions of stochastic differential equations define stochastic flows of diffeomorphisms. Then, the relation between stochastic flows and heat equations is discussed. The latter part investigates fundamental solutions of these heat equations (heat kernels) through the study of the Malliavin calculus. The author obtains smooth densities for transition functions of various types of diffusions and jump-diffusions and shows that these density functions are fundamental solutions for various types of heat equations and backward heat equations. Thus, in this book fundamental solutions for heat equations and backward heat equations are constructed independently of the theory of partial differential equations.Researchers and graduate student in probability theory will find this book very useful. - [Stochastic Disorder Problems](https://online.neatra.in/product/stochastic-disorder-problems/): This monograph focuses on those stochastic quickest detection tasks in disorder problems that arise in the dynamical analysis of statistical data. These include quickest detection of randomly appearing targets, of spontaneously arising effects, and of arbitrage (in financial mathematics). There is also currently great interest in quickest detection methods for randomly occurring intrusions in information systems and in the design of defense methods against cyber-attacks. The author shows that the majority of quickest detection problems can be reformulated as optimal stopping problems where the stopping time is the moment the occurrence of disorder is signaled. Thus, considerable attention is devoted to the general theory of optimal stopping rules, and to its concrete problem-solving methods.The exposition covers both the discrete time case, which is in principle relatively simple and allows step-by-step considerations, and the continuous-time case, which often requires more technical machinery such as martingales, supermartingales, and stochastic integrals. There is a focus on the well-developed apparatus of Brownian motion, which enables the exact solution of many problems. The last chapter presents applications to financial markets.Researchers and graduate students interested in probability, decision theory and statistical sequential analysis will find this book useful. - [Steinberg Groups for Jordan Pairs](https://online.neatra.in/product/steinberg-groups-for-jordan-pairs/): The present monograph develops a unified theory of Steinberg groups, independent of matrix representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite root systems. The development of this approach occurs over six chapters, progressing from groups with commutator relations and their Steinberg groups, then on to Jordan pairs, 3-graded locally finite root systems, and groups associated with Jordan pairs graded by root systems, before exploring the volume's main focus: the definition of the Steinberg group of a root graded Jordan pair by a small set of relations, and its central closedness. Several original concepts, such as the notions of Jordan graphs and Weyl elements, provide readers with the necessary tools from combinatorics and group theory. Steinberg Groups for Jordan Pairs is ideal for PhD students and researchers in the fields of elementary groups, Steinberg groups, Jordan algebras, and Jordan pairs. By adopting a unified approach, anybody interested in this area who seeks an alternative to case-by-case arguments and explicit matrix calculations will find this book essential. - [Stationary Processes and Discrete Parameter Markov Processes](https://online.neatra.in/product/stationary-processes-and-discrete-parameter-markov-processes/): This textbook explores two distinct stochastic processes that evolve at random: weakly stationary processes and discrete parameter Markov processes. Building from simple examples, the authors focus on developing context and intuition before formalizing the theory of each topic. This inviting approach illuminates the key ideas and computations in the proofs, forming an ideal basis for further study. After recapping the essentials from Fourier analysis, the book begins with an introduction to the spectral representation of a stationary process. Topics in ergodic theory follow, including Birkhoff’s Ergodic Theorem and an introduction to dynamical systems. From here, the Markov property is assumed and the theory of discrete parameter Markov processes is explored on a general state space. Chapters cover a variety of topics, including birth–death chains, hitting probabilities and absorption, the representation of Markov processes as iterates of random maps, and large deviation theory for Markov processes. A chapter on geometric rates of convergence to equilibrium includes a splitting condition that captures the recurrence structure of certain iterated maps in a novel way. A selection of special topics concludes the book, including applications of large deviation theory, the FKG inequalities, coupling methods, and the Kalman filter. Featuring many short chapters and a modular design, this textbook offers an in-depth study of stationary and discrete-time Markov processes. Students and instructors alike will appreciate the accessible, example-driven approach and engaging exercises throughout. A single, graduate-level course in probability is assumed. - [Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales](https://online.neatra.in/product/stability-periodicity-and-boundedness-in-functional-dynamical-systems-on-time-scales/): Motivated by recent increased activity of research on time scales, the book provides a systematic approach to the study of the qualitative theory of boundedness, periodicity and stability of Volterra integro-dynamic equations on time scales. Researchers and graduate students who are interested in the method of Lyapunov functions/functionals, in the study of boundedness of solutions, in the stability of the zero solution, or in the existence of periodic solutions should be able to use this book as a primary reference and as a resource of latest findings. This book contains many open problems and should be of great benefit to those who are pursuing research in dynamical systems or in Volterra integro-dynamic equations on time scales with or without delays. Great efforts were made to present rigorous and detailed proofs of theorems. The book should serve as an encyclopedia on the construction of Lyapunov functionals in analyzing solutions of dynamical systems on timescales. The book is suitable for a graduate course in the format of graduate seminars or as special topics course on dynamical systems. The book should be of interest to investigators in biology, chemistry, economics, engineering, mathematics and physics. Similar content being viewed by others - [Spectral Theory on the S-Spectrum for Quaternionic Operators](https://online.neatra.in/product/spectral-theory-on-the-s-spectrum-for-quaternionic-operators/): The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph. - [Architectural and Urban Subsymmetries](https://online.neatra.in/product/architectural-and-urban-subsymmetries/): This book focuses on symmetries in the analysis and synthesis of architectural designs. Crucial in the history of architecture, principles of symmetry provided the means to achieve balance and harmony of spatial composition in architecture. - [Approximation Theory, Sequence Spaces and Applications](https://online.neatra.in/product/approximation-theory-sequence-spaces-and-applications/): This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications. Chapters are original and contributed by active researchers in the field of approximation theory and sequence spaces. - [Approximation Theory and Harmonic Analysis on Spheres and Balls](https://online.neatra.in/product/approximation-theory-and-harmonic-analysis-on-spheres-and-balls/): Written by experts in the field Contains up-to-date research in approximation theory and harmonic analysis on balls and spheres Provides useful research material for both experts and advanced graduate students Includes supplementary material: sn.pub/extras - [Approximation by Max-Product Type Operators](https://online.neatra.in/product/approximation-by-max-product-type-operators/): This monograph presents a broad treatment of developments in an area of constructive approximation involving the so-called "max-product" type operators. The exposition highlights the max-product operators as those which allow one to obtain, in many cases, more valuable estimates than those obtained by classical approaches. - [Approximation and Optimization: Algorithms, Complexity and Applications](https://online.neatra.in/product/approximation-and-optimization-algorithms-complexity-and-applications/): Presents approximation-related algorithms and their relevant applications Contains new approaches and techniques to data-dependent approximation Highlights new research results - [Approximation and Computation in Science and Engineering](https://online.neatra.in/product/approximation-and-computation-in-science-and-engineering/): In recent years, extensive research has been conducted by eminent mathematicians and engineers whose results and proposed problems are presented in this new volume. It is addressed to graduate students, research mathematicians, physicists, and engineers. - [Approximate Solutions of Common Fixed-Point Problems](https://online.neatra.in/product/approximate-solutions-of-common-fixed-point-problems/): This book presents results on the convergence behavior of algorithms which are known as vital tools for solving convex feasibility problems and common fixed point problems. The main goal for us in dealing with a known computational error is to find what approximate solution can be obtained and how many iterates one needs to find it. - [Applied Wave Mathematics II: Selected Topics in Solids, Fluids, and Mathematical Methods and Complexity](https://online.neatra.in/product/applied-wave-mathematics-ii-selected-topics-in-solids-fluids-and-mathematical-methods-and-complexity/): High-quality research in applied mathematics coming from two renowned research institutes The papers are written in a tutorial style, intended for non-specialist researchers and students. The contributions describe the approaches in an understandable way and can be used for educational purposes - [Applied Quantitative Finance](https://online.neatra.in/product/applied-quantitative-finance/): This volume provides practical solutions and introduces recent theoretical developments in risk management, pricing of credit derivatives, quantification of volatility and copula modeling. This third edition is devoted to modern risk analysis based on quantitative methods and textual analytics to meet the current challenges in banking and finance. - [Applied Probability: From Random Sequences to Stochastic Processes](https://online.neatra.in/product/applied-probability-from-random-sequences-to-stochastic-processes/): This textbook addresses postgraduate students in applied mathematics, probability, and statistics, as well as computer scientists, biologists, physicists and economists, who are seeking a rigorous introduction to applied stochastic processes. - [Applied Probability: From Random Experiments to Random Sequences and Statistics](https://online.neatra.in/product/applied-probability-from-random-experiments-to-random-sequences-and-statistics/): This textbook presents the basics of probability and statistical estimation, with a view to applications. The didactic presentation follows a path of increasing complexity with a constant concern for pedagogy, from the most classical formulas of probability theory to the asymptotics of independent random sequences and an introduction to inferential statistics. - [Applied Probability and Stochastic Processes](https://online.neatra.in/product/applied-probability-and-stochastic-processes/): This book gathers selected papers presented at the International Conference on Advances in Applied Probability and Stochastic Processes, held at CMS College, Kerala, India, on 7–10 January 2019. It showcases high-quality research conducted in the field of applied probability and stochastic processes by focusing on techniques for the modelling and analysis of systems evolving with time. - [Applied Number Theory](https://online.neatra.in/product/applied-number-theory/): This textbook effectively builds a bridge from basic number theory to recent advances in applied number theory. It presents the first unified account of the four major areas of application where number theory plays a fundamental role, namely cryptography, coding theory, quasi-Monte Carlo methods, and pseudorandom number generation, allowing the authors to delineate the manifold links and interrelations between these areas. - [Applied Linear Algebra and Matrix Analysis](https://online.neatra.in/product/applied-linear-algebra-and-matrix-analysis/): Emphasizes linear algebra as an experimental science with a variety of modern applications Develops students’ analytical writing with report projects that require descriptive precision Explores applications of linear algebra to contemporary topics in technology, like Google PageRank Includes supplementary material: sn.pub/extras - [Applied Linear Algebra](https://online.neatra.in/product/applied-linear-algebra/): Develops a strong conceptual grounding for applying linear algebra in numerous modern applications Weaves the theory of linear algebra with applications across engineering, science, computing, data analysis, and beyond Provides an ideal preparation for future study in applied differential equations Presents material in engaging and informative full color Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material - [Applied Impulsive Mathematical Models](https://online.neatra.in/product/applied-impulsive-mathematical-models/): Using the theory of impulsive differential equations, this book focuses on mathematical models which reflect current research in biology, population dynamics, neural networks and economics. The authors provide the basic background from the fundamental theory and give a systematic exposition of recent results related to the qualitative analysis of impulsive mathematical models. - [Applied Fractional Calculus in Identification and Control](https://online.neatra.in/product/applied-fractional-calculus-in-identification-and-control/): The book investigates the fractional calculus-based approaches and their benefits to adopting in complex real-time areas. Another objective is to provide initial solutions for new areas where fractional theory has yet to verify the expertise. - [Applied and Computational Optimal Control: A Control Parametrization Approach](https://online.neatra.in/product/applied-and-computational-optimal-control-a-control-parametrization-approach/): Real world practical problems are introduced as illustrative examples Provides state-of-the-art fundamental results on a unified family of computational methods Methods may be implemented easily using the MISER software New theory and computational methods may be derived from knowledge gained in this book - [Applications of Nonlinear Analysis](https://online.neatra.in/product/applications-of-nonlinear-analysis/): New applications, research, and fundamental theories in nonlinear analysis are presented in this book. - [Application of Mathematics and Optimization in Construction Project Management](https://online.neatra.in/product/application-of-mathematics-and-optimization-in-construction-project-management/): This book provides a broad overview of project and project management principles, processes, and success/failure factors. It also provides a state of the art of applications of the project management concepts, especially in the field of construction projects, based on the Project Management Body of Knowledge (PMBOK). - [Analyzing Narratives in Social Networks: Taking Turing to the Arts](https://online.neatra.in/product/analyzing-narratives-in-social-networks-taking-turing-to-the-arts/): This book uses literature as a wrench to pry open social networks and to ask different questions than have been asked about social networks previously. The book emphasizes the story-telling aspect of social networks, as well as the connection between narrative and social networks by incorporating narrative, dynamic networks, and time. - [Analytic Number Theory](https://online.neatra.in/product/analytic-number-theory/): Number Theory is a vast and fascinating field of mathematics consisting of, among other things, the study of the properties of numbers (including Primes) Attractively written volume which contains clever examples and interesting problems in each chapter Covers an amazing amount of material with a leisurely pace which emphasizes readability De-mystifying approach offers solutions that are both understandable and elegant Newman's heartfelt enthusiasm enables readers to see what is magical about the subject| his genuine appreciation for the beauty of analytic number theory is clearly reflected in the mathematics which are presented - [Analytic Inequalities and Their Applications in PDEs](https://online.neatra.in/product/analytic-inequalities-and-their-applications-in-pdes/): Presents useful basic analytic inequalities Shows results and techniques in differential equations Describes analytic inequalities categorized with different aims Emphasizes applications in partial differential equations ? - [Analytic Capacity, the Cauchy Transform, and Non-homogeneous Calderón–Zygmund Theory](https://online.neatra.in/product/analytic-capacity-the-cauchy-transform-and-non-homogeneous-calderon-zygmund-theory/): A large part of the material, such as the proof of the semiadditivity of analytic capacity, is accessible in book form for the first time The book provides a unified approach to the material and simplified proofs Many results have important applications to several areas in analysis The book is largely self contained and accessible to graduate students The author is a well known leading expert in the area Includes supplementary material: sn.pub/extras - [Analysis on Fock Spaces](https://online.neatra.in/product/analysis-on-fock-spaces/): Fills the gap in existing literature concerning the natural Lp spaces of analytic functions First book on the market concerning Fock spaces, summarizing the most important results and techniques in one place, so that new comers, especially graduate students, have a convenient reference to the subject Features new and simpler proofs than the existing ones in the literature Includes exercises of various levels at the end of every chapter Contains an extensive bibliography - [Analysis of Operators on Function Spaces: The Serguei Shimorin Memorial Volume](https://online.neatra.in/product/analysis-of-operators-on-function-spaces-the-serguei-shimorin-memorial-volume/): Includes photographs by Serguei Shimorin Provides a vivid account of Serguei Shimorin's scientific life and legacy Features personal recollections - [Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact](https://online.neatra.in/product/analysis-of-infectious-disease-problems-covid-19-and-their-global-impact/): This edited volume is a collection of selected research articles discussing the analysis of infectious diseases by using mathematical modelling in recent times. Divided into two parts, the book gives a general and country-wise analysis of Covid-19. - [Analysis Now](https://online.neatra.in/product/analysis-now/): Graduate students in mathematics, who want to travel light, will find this book invaluable| impatient young researchers in other fields will enjoy it as an instant reference to the highlights of modern analysis. Starting with general topology, it moves on to normed and seminormed linear spaces. - [Analysis in Banach Spaces: Volume II: Probabilistic Methods and Operator Theory](https://online.neatra.in/product/analysis-in-banach-spaces-volume-ii-probabilistic-methods-and-operator-theory/): Offers the first comprehensive treatment of R-boundedness, Banach space-valued square functions and ?-radonifying operators Develops their deep connections with the holomorphic functional calculus of sectorial and bi-sectorial operators Offers a self-contained presentation and complete, detailed proofs of results in both the core and the background material - [Analysis in Banach Spaces](https://online.neatra.in/product/analysis-in-banach-spaces/): The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem. - [Analysis for Applied Mathematics](https://online.neatra.in/product/analysis-for-applied-mathematics/): Provides analytical tools and concepts needed for solving problems in modern applied mathematics = core maths for applications Prepares readers for work in the modern theory of PDE's through coverage of the subjects of distributions Exercises in each chapter - [Analysis at Large: Dedicated to the Life and Work of Jean Bourgain](https://online.neatra.in/product/analysis-at-large-dedicated-to-the-life-and-work-of-jean-bourgain/): Analysis at Large is dedicated to Jean Bourgain whose research has deeply influenced the mathematics discipline, particularly in analysis and its interconnections with other fields. - [Analysis as a Tool in Mathematical Physics: In Memory of Boris Pavlov](https://online.neatra.in/product/analysis-as-a-tool-in-mathematical-physics-in-memory-of-boris-pavlov/): Collects research papers originating from two conferences that were organized in memory of Boris Pavlov Includes water-color paintings by Boris Pavlov and some personal photographs Contains research papers from specialists in their fields - [Analysis and Probability: Wavelets, Signals, Fractals](https://online.neatra.in/product/analysis-and-probability-wavelets-signals-fractals/): Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing) Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques Numerous exercises reinforce fundamental concepts and hone computational skills Separate sections explain engineering terms to mathematicians and operator theory to engineers Examines modern trends Fills a gap in the literature - [Analysis and Geometry of Markov Diffusion Operators](https://online.neatra.in/product/analysis-and-geometry-of-markov-diffusion-operators/): The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in order to study convergence to equilibrium, spectral bounds, functional inequalities such as Poincaré, Sobolev or logarithmic Sobolev inequalities, and various bounds on solutions of evolution equations. - [Analysis and Approximation of Rare Events](https://online.neatra.in/product/analysis-and-approximation-of-rare-events/): This book presents broadly applicable methods for the large deviation and moderate deviation analysis of discrete and continuous time stochastic systems. - [An Optimization Primer](https://online.neatra.in/product/an-optimization-primer/): This richly illustrated book introduces the subject of optimization to a broad audience with a balanced treatment of theory, models and algorithms. - [An Invitation to Unbounded Representations of *-Algebras on Hilbert Space](https://online.neatra.in/product/an-invitation-to-unbounded-representations-of-algebras-on-hilbert-space/): Provides an accessible introduction to basic results and notions of unbounded representation theory Contains an extensive study of representations of the Weyl algebra and the commutation relation of quantum mechanics Treats many topics in unbounded representation theory in book form for the first time - [An Invitation to Modern Enumerative Geometry](https://online.neatra.in/product/an-invitation-to-modern-enumerative-geometry/): This book is based on a series of lectures given by the author at SISSA, Trieste, within the PhD courses Techniques in enumerative geometry (2019) and Localisation in enumerative geometry (2021). The goal of this book is to provide a gentle introduction, aimed mainly at graduate students, to the fast-growing subject of enumerative geometry and, more specifically, counting invariants in algebraic geometry. - [An Invitation to Mathematical Physics and Its History](https://online.neatra.in/product/an-invitation-to-mathematical-physics-and-its-history/): This state of the art book takes an applications based approach to teaching mathematics to engineering and applied sciences students. The book lays emphasis on associating mathematical concepts with their physical counterparts, training students of engineering in mathematics to help them learn how things work. - [An Invitation to C*-Algebras](https://online.neatra.in/product/an-invitation-to-c-algebras/): This book gives an introduction to C*-algebras and their representations on Hilbert spaces. - [An Invitation to Abstract Mathematics](https://online.neatra.in/product/an-invitation-to-abstract-mathematics/): This undergraduate textbook promotes an active transition to higher mathematics. Problem solving is the heart and soul of this book: each problem is carefully chosen to demonstrate, elucidate, or extend a concept. - [An Introductory Course in Lebesgue Spaces](https://online.neatra.in/product/an-introductory-course-in-lebesgue-spaces/): This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. - [An Introduction to Undergraduate Research in Computational and Mathematical Biology](https://online.neatra.in/product/an-introduction-to-undergraduate-research-in-computational-and-mathematical-biology/): Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. - [An Introduction to the Theory of Groups](https://online.neatra.in/product/an-introduction-to-the-theory-of-groups/) - [An Introduction to the Mathematical Theory of Inverse Problems](https://online.neatra.in/product/an-introduction-to-the-mathematical-theory-of-inverse-problems/): Provides a balance of general results and particular cases First monograph on inverse problems which contains electrical impedance tomography and the Factorization Method Presents new and expanded sections on nonlinear theory and nonlinear inverse problems Includes updated examples - [An Introduction to Single-User Information Theory](https://online.neatra.in/product/an-introduction-to-single-user-information-theory/): Fosters an in-depth understanding of the concepts covered Offers a concise discussion of the main pillars of Shannon’s information theory Is ideal for a one-semester foundational course on information theory - [An Introduction to Riemann-Finsler Geometry](https://online.neatra.in/product/an-introduction-to-riemann-finsler-geometry/): In Riemannian geometry, measurements are made with both yardsticks and protractors. These tools are represented by a family of inner-products. - [An Introduction to Optimal Satellite Range Scheduling](https://online.neatra.in/product/an-introduction-to-optimal-satellite-range-scheduling/): The satellite range scheduling (SRS) problem, an important operations research problem in the aerospace industry consisting of allocating tasks among satellites and Earth-bound objects, is examined in this book. - [An Introduction to Operators on the Hardy-Hilbert Space](https://online.neatra.in/product/an-introduction-to-operators-on-the-hardy-hilbert-space/): More elementary than the competition Contains clear and beautiful proofs Has been class-tested a number of times Includes supplementary material: sn.pub/extras - [An Introduction to Number Theory](https://online.neatra.in/product/an-introduction-to-number-theory/): Includes up-to-date material on recent developments and topics of significant interest, such as the new primality test Selects material from both the algebraic and analytic disciplines, presenting several different proofs of a single result to illustrate the differing viewpoints and give good insight - [An Introduction to Nonlinear Analysis and Fixed Point Theory](https://online.neatra.in/product/an-introduction-to-nonlinear-analysis-and-fixed-point-theory/): This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential calculus in Banach spaces, monotone operators, and fixed point theorems. It also discusses degree theory, nonlinear matrix equations, control theory, differential and integral equations, and inclusions. - [An Introduction to Modeling Neuronal Dynamics](https://online.neatra.in/product/an-introduction-to-modeling-neuronal-dynamics/): Includes access to Matlab codes generating the figures Exercises at widely varying levels are included at the end of every chapter Detailed writing allows for self-study opportunities Includes supplementary material: sn.pub/extras - [An Introduction to Mathematical Relativity](https://online.neatra.in/product/an-introduction-to-mathematical-relativity/): Offers a view on the advanced mathematical aspects of general relativity Aimed to graduate students in Mathematics and Physics with special interest on the field Concentrates on the simplest versions of the results, avoiding unnecessary complexity - [An Introduction to Mathematical Modeling of Infectious Diseases](https://online.neatra.in/product/an-introduction-to-mathematical-modeling-of-infectious-diseases/): Uses five classic epidemic models to introduce different mathematical methods in model analysis Provides a chapter on general theory of stability analysis for differential equations Includes Matlab codes for numerical implementation Accessible to non-mathematicians - [An Introduction to Mathematical Finance with Applications](https://online.neatra.in/product/an-introduction-to-mathematical-finance-with-applications/): This textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without appropriately deriving them. The balance achieved will give readers a fundamental understanding of key financial ideas and tools that form the basis for building realistic models, including those that may become proprietary. - [An Introduction to Mathematical Epidemiology](https://online.neatra.in/product/an-introduction-to-mathematical-epidemiology/): A comprehensive introduction to mathematical epidemiology accelerating from beginner to advanced research level Provides detailed introduction to applied dynamical systems while linking to epidemiological concepts Uses data to complement model development and analysis? Highly illustrated with exercises included at the end of each chapter Includes code in MATLAB for simulations and fitting Includes supplementary material: sn.pub/extras - [An Introduction to Markov Processes](https://online.neatra.in/product/an-introduction-to-markov-processes/): Corrected and enlarged 2nd edition Written by an expert Includes new material Includes supplementary material: sn.pub/extras - [An Introduction to Knot Theory](https://online.neatra.in/product/an-introduction-to-knot-theory/): Written by an internationally acknowledged expert in the field who has won prizes for both exposition and research * Gives a comprehensive introduction to the field, presenting modern developments in the context of classical material * Will appeal to graduate students, mathematicians and physicists with a mathematical background who wish to gain new insights in this area - [An Introduction to Hamiltonian Mechanics](https://online.neatra.in/product/an-introduction-to-hamiltonian-mechanics/): This textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus. It explores topics like variational symmetries, canonoid transformations, and geometrical optics that are usually omitted from an introductory classical mechanics course. - [An Introduction to Frames and Riesz Bases](https://online.neatra.in/product/an-introduction-to-frames-and-riesz-bases/): Extensive and updated exercises included at the end of every chapter Selected research topics presented with recommendations for more advanced topics and further reading Basic results presented in an accessible way for both pure and applied mathematicians Full proofs included in introductory chapters| only basic knowledge of functional analysis required Includes supplementary material: sn.pub/extras - [An Introduction to Finite Tight Frames](https://online.neatra.in/product/an-introduction-to-finite-tight-frames/): First book entirely devoted to finite frames Replete with exercises, illustrations, and MATLAB examples Well suited as a textbook for a graduate course or seminar on finite frames Real-world applications to signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing For a broad readership in pure and applied mathematics, engineering, mathematical physics, and signal processing - [An Introduction to Convex Polytopes](https://online.neatra.in/product/an-introduction-to-convex-polytopes/): The aim of this book is to introduce the reader to the fascinating world of convex polytopes. - [An Introduction to Continuous-Time Stochastic Processes: Theory, Models, and Applications to Finance, Biology, and Medicine](https://online.neatra.in/product/an-introduction-to-continuous-time-stochastic-processes-theory-models-and-applications-to-finance-biology-and-medicine/): Introduces readers to the theory of continuous-time stochastic processes using real-life examples in medicine, finance, and biology Includes updated exercises, examples, and material based on advances in recent literature Illustrates the ways that similar stochastic methods can be applied broadly across different fields - [An Introduction to Catalan Numbers](https://online.neatra.in/product/an-introduction-to-catalan-numbers/): This textbook provides an introduction to the Catalan numbers and their remarkable properties, along with their various applications in combinatorics. Intended to be accessible to students new to the subject, the book begins with more elementary topics before progressing to more mathematically sophisticated topics. - [An Introduction to Banach Space Theory](https://online.neatra.in/product/an-introduction-to-banach-space-theory/): The purpose of this book is to bridge this gap and provide an introduction to the basic theory of Banach spaces and functional analysis. It prepares students for further study of both the classical works and current research. - [An Introduction to Analysis](https://online.neatra.in/product/an-introduction-to-analysis/): As its title indicates, this book is intended to serve as a textbook for an introductory course in mathematical analysis. In preliminary form the book has been used in this way at the University of Michigan, Indiana University, and Texas A&M University, and has proved serviceable. - [An Introduction to Algebraic Topology](https://online.neatra.in/product/an-introduction-to-algebraic-topology/): There is a canard that every textbook of algebraic topology either ends with the definition of the Klein bottle or is a personal communication to J. H. C. Whitehead. Of course, this is false, as a glance at the books of Hilton and Wylie, Maunder, Munkres, and Schubert reveals. - [An Excursion through Elementary Mathematics, Volume II: Euclidean Geometry](https://online.neatra.in/product/an-excursion-through-elementary-mathematics-volume-ii-euclidean-geometry/): Combines an in-depth overview of the theory with problems presented at several Mathematical Olympiads around the world Offers a comprehensive course on problem-solving techniques Presents a coherent development of mathematical ideas and methods behind problem solving Brings several classical, relevant results of various fields in mathematics - [An Excursion through Elementary Mathematics, Volume I: Real Numbers and Functions](https://online.neatra.in/product/an-excursion-through-elementary-mathematics-volume-i-real-numbers-and-functions/): Combines an in-depth overview of the theory with problems presented at several Mathematical Olympiads around the world. Offers a comprehensive course on problem-solving techniques Presents a coherent development of mathematical ideas and methods behind problem solving Brings several classical, relevant results of various fields in mathematics Includes supplementary material: sn.pub/extras - [Almost Periodic and Almost Automorphic Functions in Abstract Spaces](https://online.neatra.in/product/almost-periodic-and-almost-automorphic-functions-in-abstract-spaces/): This book presents the foundation of the theory of almost automorphic functions in abstract spaces and the theory of almost periodic functions in locally and non-locally convex spaces and their applications in differential equations. - [Al-Kashi's Miftah al-Hisab, Volume III: Algebra: Translation and Commentary](https://online.neatra.in/product/al-kashis-miftah-al-hisab-volume-iii-algebra-translation-and-commentary/): Jamsh?d al-K?sh?’s Mift?? al-?isab (Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now. This is the second book in a multi-volume set that finally brings al-K?sh?’s groundbreaking textbook to English audiences in its entirety. - [Al-Kashi's Miftah al-Hisab, Volume II: Geometry: Translation and Commentary](https://online.neatra.in/product/al-kashis-miftah-al-hisab-volume-ii-geometry-translation-and-commentary/): Jamsh?d al-K?sh?’s Mift?? al-?isab (Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now. This is the second book in a multi-volume set that finally brings al-K?sh?’s groundbreaking textbook to English audiences in its entirety. - [Al-Kashi's Mifta? al-?isab, Volume I: Arithmetic: Translation and Commentary](https://online.neatra.in/product/al-kashis-mifta-al-isab-volume-i-arithmetic-translation-and-commentary/): Jamsh?d al-K?sh?’s Mift?? al-?isab (Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now. This book begins a multi-volume set that finally brings al-K?sh?’s groundbreaking textbook to English audiences in its entirety. - [Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory](https://online.neatra.in/product/algorithmic-and-experimental-methods-in-algebra-geometry-and-number-theory/): This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. - [Algebraic Theory of Locally Nilpotent Derivations](https://online.neatra.in/product/algebraic-theory-of-locally-nilpotent-derivations/): 2nd enlarged edition of first monograph on this topic Lot of new material Wealth of examples and open problems Includes supplementary material: sn.pub/extras - [Algebraic Properties of Generalized Inverses](https://online.neatra.in/product/algebraic-properties-of-generalized-inverses/): This book addresses selected topics in the theory of generalized inverses. Following a discussion of the “reverse order law” problem and certain problems involving completions of operator matrices, it subsequently presents a specific approach to solving the problem of the reverse order law for {1} -generalized inverses. - [Algebraic Number Theory](https://online.neatra.in/product/algebraic-number-theory/): The present book gives an exposition of the classical basic algebraic and analytic number theory and supersedes my Algebraic Numbers, including much more material, e. g. the class field theory on which 1 make further comments at the appropriate place later. For different points of view, the reader is encouraged to read the collec­ tion of papers from the Brighton Symposium (edited by Cassels-Frohlich), the Artin-Tate notes on class field theory, Weil's book on Basic Number Theory, Borevich-Shafarevich's Number Theory, and also older books like those of W eber, Hasse, Hecke, and Hilbert's Zahlbericht. - [Algebraic K-Theory and Its Applications](https://online.neatra.in/product/algebraic-k-theory-and-its-applications/): Algebraic K-Theory plays an important role in many areas of modern mathematics: most notably algebraic topology, number theory, and algebraic geometry, but even including operator theory. The broad range of these topics has tended to give the subject an aura of inapproachability. - [Algebraic Inequalities](https://online.neatra.in/product/algebraic-inequalities/): Includes new and classical methods to prove algebraic inequalities Most of inequalities are either created by the authors or have author-prepared-proofs Serves as a unique tool for readers to most effectively maximize learning potential - [Algebraic Groups and Class Fields](https://online.neatra.in/product/algebraic-groups-and-class-fields/): Reprint of a successful book Written by the author of the classic, best-selling title Galois Cohomology Presents local class field theory from the cohomological point of view - [Algebraic Graph Theory](https://online.neatra.in/product/algebraic-graph-theory/): Includes supplementary material: sn.pub/extras - [Algebraic Geometry: A First Course](https://online.neatra.in/product/algebraic-geometry-a-first-course/): This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988. It is intended to be, as the title suggests, a first introduction to the subject. - [Algebraic Geometry and Number Theory](https://online.neatra.in/product/algebraic-geometry-and-number-theory/): This lecture notes volume presents significant contributions from the “Algebraic Geometry and Number Theory” Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014.It addresses subjects ranging from Arakelov geometry and Iwasawa theory to classical projective geometry, birational geometry and equivariant cohomology. - [Algebraic Geometry](https://online.neatra.in/product/algebraic-geometry/): Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. After receiving his Ph.D. from Princeton in 1963, Hartshorne became a Junior Fellow at Harvard, then taught there for several years. - [Algebraic Function Fields and Codes](https://online.neatra.in/product/algebraic-function-fields-and-codes/): Well-established popular textbook Includes supplementary material: sn.pub/extras - [Algebraic Combinatorics: Walks, Trees, Tableaux, and More](https://online.neatra.in/product/algebraic-combinatorics-walks-trees-tableaux-and-more/): Includes a new chapter on combinatorial commutative algebra First text on algebraic combinatorics targeted towards undergraduates Written by the most well-known algebraic combinatorist world-wide Covers topics of Walks in graphs, cubes and Radon transform, Matrix-Tree Theorem, the Sperner property, and more - [Algebra: An Approach via Module Theory](https://online.neatra.in/product/algebra-an-approach-via-module-theory/): This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). - [Algebra, Geometry, and Physics in the 21st Century: Kontsevich Festschrift](https://online.neatra.in/product/algebra-geometry-and-physics-in-the-21st-century-kontsevich-festschrift/): This volume is a tribute to Maxim Kontsevich, one of the most original and influential mathematicians of our time. Maxim’s vision has inspired major developments in many areas of mathematics, ranging all the way from probability theory to motives over finite fields, and has brought forth a paradigm shift at the interface of modern geometry and mathematical physics. - [Algebra, Analysis, and Associated Topics](https://online.neatra.in/product/algebra-analysis-and-associated-topics/): The chapters in this contributed volume explore new results and existing problems in algebra, analysis, and related topics. This broad coverage will help generate new ideas to solve various challenges that face researchers in pure mathematics. - [Algebra for Cryptologists](https://online.neatra.in/product/algebra-for-cryptologists/): This textbook provides an introduction to the mathematics on which modern cryptology is based. It covers not only public key cryptography, the glamorous component of modern cryptology, but also pays considerable attention to secret key cryptography, its workhorse in practice. - [Algebra 4: Lie Algebras, Chevalley Groups, and Their Representations](https://online.neatra.in/product/algebra-4-lie-algebras-chevalley-groups-and-their-representations/): Discusses major topics on Lie algebra and representation theory Presents an accessible introduction to the major theorems of modern algebra Provides a clear and motivating exposition with numerous examples and exercises Is written by an expert with over 43 years of teaching experience of the subject - [Algebra 3: Homological Algebra and Its Applications](https://online.neatra.in/product/algebra-3-homological-algebra-and-its-applications/): Discusses topics in homological algebra and applications in topology, commutative algebra, and algebraic geometry Offers the third volume of a four-volume textbook series in Algebra Is written by an expert with over 43 years of teaching experience - [Algebra 1: Groups, Rings, Fields and Arithmetic](https://online.neatra.in/product/algebra-1-groups-rings-fields-and-arithmetic/): Presents an accessible introduction to the major theorems of modern algebra Provides a clear and motivating exposition with numerous examples and exercises Is written by an expert with over 43 years of teaching experience of the subject Includes supplementary material: sn.pub/extras - [Algebra](https://online.neatra.in/product/algebra-2/): Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents. - [Algebra](https://online.neatra.in/product/algebra/): This book is considered a classic, which "changed the way algebra was taught" (Notices of the AMS) - [Age Structured Epidemic Modeling](https://online.neatra.in/product/age-structured-epidemic-modeling/): This book introduces advanced mathematical methods and techniques for analysis and simulation of models in mathematical epidemiology. Chronological age and class-age play an important role in the description of infectious diseases and this text provides the tools for the analysis of this type of partial differential equation models. - [Africa Case Studies in Operations Research: A Closer Look into Applications and Algorithms](https://online.neatra.in/product/africa-case-studies-in-operations-research-a-closer-look-into-applications-and-algorithms/): This book presents contributions to the 50th Annual Conference of the Operations Research Society of South Africa (ORSSA), which was jointly hosted with the African Federation of Operations Research Societies (AFROS) at North-West University in Potchefstroom, South Africa from 12 to 15 September, 2021. - [Affine, Vertex and W-algebras](https://online.neatra.in/product/affine-vertex-and-w-algebras/): Stimulating research papers in a very active research area Coverage of recent developments in state of the art topics Postgrad course notes on relationships between vertex algebra theory and the theory of integrable Hamiltonian equation - [Aerospace System Analysis and Optimization in Uncertainty](https://online.neatra.in/product/aerospace-system-analysis-and-optimization-in-uncertainty/): Spotlighting the field of Multidisciplinary Design Optimization (MDO), this book illustrates and implements state-of-the-art methodologies within the complex process of aerospace system design under uncertainties. The book provides approaches to integrating a multitude of components and constraints with the ultimate goal of reducing design cycles. - [Compressed Sensing and its Applications: MATHEON Workshop 2013](https://online.neatra.in/product/compressed-sensing-and-its-applications-matheon-workshop-2013/): Since publication of the initial papers in 2006, compressed sensing has captured the imagination of the international signal processing community, and the mathematical foundations are nowadays quite well understood. - [Complex Variables: An Introduction](https://online.neatra.in/product/complex-variables-an-introduction/): Reprint of a successful, proven work * Gives an overview of the basic properties of holomorphic functions of one complex variable * To further illiminate the material, a large number of exercises of differing levels of difficulty have been added - [Complex Geometry of Slant Submanifolds](https://online.neatra.in/product/complex-geometry-of-slant-submanifolds/): This book contains an up-to-date survey and self-contained chapters on complex slant submanifolds and geometry, authored by internationally renowned researchers. The book discusses a wide range of topics, including slant surfaces, slant submersions, nearly Kaehler, locally conformal Kaehler, and quaternion Kaehler manifolds. - [Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory](https://online.neatra.in/product/complex-function-theory-operator-theory-schur-analysis-and-systems-theory/): This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. - [Complex and Symplectic Geometry](https://online.neatra.in/product/complex-and-symplectic-geometry/): This book arises from the INdAM Meeting 'Complex and Symplectic Geometry', which was held in Cortona in June 2016. - [Complex Analytic Cycles I: Basic Results on Complex Geometry and Foundations for the Study of Cycles](https://online.neatra.in/product/complex-analytic-cycles-i-basic-results-on-complex-geometry-and-foundations-for-the-study-of-cycles/): First of a two volume series intended to give a systematic presentation of the theory of cycle spaces in complex geometry Foundational material is presented with only introductory complex analysis being assumed Explains the subject in a clear manner which is accessible to graduate students in mathematics as well as research mathematicians. Unique exposition by two leading experts - [Complex Analysis: In the Spirit of Lipman Bers](https://online.neatra.in/product/complex-analysis-in-the-spirit-of-lipman-bers/): New edition extensively revised and updated New topics include Bers's theorem on isomorphisms between rings of holomorphic functions on plane domains, necessary and sufficient conditions for the existence of a bounded analytic function on the disc, subharmonic functions, Perron's principle, the ring of holomorphic functions on a plane domain, solutions to the Dirichlet problem, Green's function and its relation to the Riemann Mapping Theorem Covers vast majority of the material needed for a beginning graduate level course on complex analysis Material may be of interest to mathematicians, computer scientists, physicists, and engineers Request lecturer material: sn.pub/lecturer-material - [Complex Analysis, Riemann Surfaces and Integrable Systems](https://online.neatra.in/product/complex-analysis-riemann-surfaces-and-integrable-systems/): Using basic tools from the first year of university studies, the book leads a reader to the impressive achievements of mathematics of the 21st century Studying the book, the reader will get acquainted with analytical and harmonic functions, as well as with the main results of the theory of Riemann surfaces. The reader will also get acquainted with the modern use of these results for solving classical problems of practical importance. These applications are based on the theory of integrable systems, which is also discussed in the book Practical all the statements are given in the book with full proofs - [Complex Analysis with Applications to Number Theory](https://online.neatra.in/product/complex-analysis-with-applications-to-number-theory/): The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics and undergraduate students of engineering, as well as to researchers in complex analysis and number theory. - [Complex Analysis with Applications](https://online.neatra.in/product/complex-analysis-with-applications/): Freely accessible solutions to every-other-odd exercise are posted to the book’s Springer website| Instructors contact the authors for a full solutions manual Includes a plethora of worked examples and exercises with varying degrees of difficulty Designed for flexible use by instructors and students Numerous graphics help illustrate even the most abstract concepts Includes supplementary material: sn.pub/extras - [Complex Analysis and Dynamical Systems: New Trends and Open Problems](https://online.neatra.in/product/complex-analysis-and-dynamical-systems-new-trends-and-open-problems/): This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences. - [Complex Analysis](https://online.neatra.in/product/complex-analysis-2/): Written by a well-known and somewhat controversial Springer author whose writing style has achieved a considerable following Unique approach should appeal to those who want to obtain new results in this field Goes beyond the basic material to present special topics of current interest Additional topics covered in the second part give readers a great deal of flexibility in structuring their learning of the subject Extensively revised edition, includes new examples and exercises, and hundreds of minor improvements throughout - [Complex Analysis](https://online.neatra.in/product/complex-analysis/): Discusses all major topics of complex analysis at the advanced undergraduate and graduate levels Includes more than 300 problems and exercises, making this book self-sufficient and suitable for both classroom use and self-study Contains more than 120 figures for making the exposition clearer and developing geometric intuition Presents all the results in general form, avoiding major complications of their proofs Covers topics in a rigorous mathematical manner while keeping the exposition at the level acceptable for advanced undergraduate courses - [Completeness Theorems and Characteristic Matrix Functions: Applications to Integral and Differential Operators](https://online.neatra.in/product/completeness-theorems-and-characteristic-matrix-functions-applications-to-integral-and-differential-operators/): This monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that admit a characteristic matrix function in a Banach space setting. Classical conditions for completeness based on the theory of entire functions are further developed for this specific class of operators. - [Comparison Finsler Geometry](https://online.neatra.in/product/comparison-finsler-geometry/): Generalizes the weighted Ricci curvature and develops comparison geometry and geometric analysis in the Finsler context Offers an accessible entry point to studying Finsler geometry for those familiar with differentiable manifolds Illustrates and compares three methods for studying lower Ricci curvature bounds: Gamma-calculus, curvature-dimension condition, needle decomposition - [Compact Lie Groups](https://online.neatra.in/product/compact-lie-groups/): Provides an approach that minimizes advanced prerequisites Self-contained and systematic exposition requiring no previous exposure to Lie theory Advances quickly to the Peter-Weyl Theorem and its corresponding Fourier theory Streamlined Lie algebra discussion reduces the differential geometry prerequisite and allows a more rapid transition to the classification and construction of representations Exercises sprinkled throughout the text - [Commutative Algebra: with a View Toward Algebraic Geometry](https://online.neatra.in/product/commutative-algebra-with-a-view-toward-algebraic-geometry/): The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. Many exercises illustrate and sharpen the theory and extended exercises give the reader an active part in complementing the material presented in the text. - [Commutative Algebra: Constructive Methods](https://online.neatra.in/product/commutative-algebra-constructive-methods/): Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoint in commutative algebra and studies algorithmic approaches alongside several abstract classical theories. - [Commodities, Energy and Environmental Finance](https://online.neatra.in/product/commodities-energy-and-environmental-finance/): This volume is a collection of chapters covering the latest developments in applications of financial mathematics and statistics to topics in energy, commodity financial markets and environmental economics. The research presented is based on the presentations and discussions that took place during the Fields Institute Focus Program on Commodities, Energy and Environmental Finance in August 2013. - [Combined Measure and Shift Invariance Theory of Time Scales and Applications](https://online.neatra.in/product/combined-measure-and-shift-invariance-theory-of-time-scales-and-applications/): This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations. The study of shift closeness of time scales is significant to investigate the shift functions such as the periodic functions, the almost periodic functions, the almost automorphic functions, and their generalizations with many relevant applications in dynamic equations on arbitrary time scales. - [Combinatorics of Coxeter Groups](https://online.neatra.in/product/combinatorics-of-coxeter-groups/): Coxeter groups have already been exposited from algebraic and geometric perspectives, but this book will be presenting the combinatorial aspects of Coxeter groups - [Combinatorics and Complexity of Partition Functions](https://online.neatra.in/product/combinatorics-and-complexity-of-partition-functions/): Partition functions arise in combinatorics and related problems of statistical physics as they encode in a succinct way the combinatorial structure of complicated systems. - [Combinatorial, Linear, Integer and Nonlinear Optimization Apps: COLINA Grande](https://online.neatra.in/product/combinatorial-linear-integer-and-nonlinear-optimization-apps-colina-grande/): Conceptually explains real world optimization problems which are then demonstrated with practical software apps Brings optimization down to the students’ personal lives and experiences and gives them a marketable skill Allows the students to implement a project idea from inception to implementation on their phone or tablet Gives students access to state of the art software tools such as App Iniventor and AMPL optimization and mathematical programming software - [Combinatorial Set Theory: With a Gentle Introduction to Forcing](https://online.neatra.in/product/combinatorial-set-theory-with-a-gentle-introduction-to-forcing/): Provides a comprehensive introduction to the sophisticated technique of forcing Includes Shelah’s astonishing construction of a model in which exactly 27 Ramsey ultrafilters exist Offers topics and open problems for further study Includes supplementary material: sn.pub/extras - [Combinatorial Optimization: Theory and Algorithms](https://online.neatra.in/product/combinatorial-optimization-theory-and-algorithms/): Well-written, popular textbook on combinatorial optimization One of very few textbooks on this topic Subject area has manifold applications Offers complete but concise proofs, making it an invaluable practical tool for students Updated sixth edition - [Combinatorial Methods in Topology and Algebra](https://online.neatra.in/product/combinatorial-methods-in-topology-and-algebra/): Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013. - [Combinatorial Convexity and Algebraic Geometry](https://online.neatra.in/product/combinatorial-convexity-and-algebraic-geometry/): The aim of this book is to provide an introduction for students and nonspecialists to a fascinating relation between combinatorial geometry and algebraic geometry, as it has developed during the last two decades. This relation is known as the theory of toric varieties or sometimes as torus embeddings. - [Combinatorial Commutative Algebra](https://online.neatra.in/product/combinatorial-commutative-algebra/): Recent and comprehensive view point Most exciting recent developments are covered with complete proofs and a large number of striking illustrations Includes supplementary material: sn.pub/extras - [Combinatorial Algebraic Geometry: Selected Papers From the 2016 Apprenticeship Program](https://online.neatra.in/product/combinatorial-algebraic-geometry-selected-papers-from-the-2016-apprenticeship-program/): This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. - [Collineations and Conic Sections: An Introduction to Projective Geometry in its History](https://online.neatra.in/product/collineations-and-conic-sections-an-introduction-to-projective-geometry-in-its-history/): This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century. - [Clifford Algebras and Lie Theory](https://online.neatra.in/product/clifford-algebras-and-lie-theory/): Convenient and up-to-date reference for background material from Clifford theory, relevant for students and researchers in mathematics and physics Included are many developments from the last 15 years, drawn in part from the author's research Largely self-contained exposition Includes supplementary material: sn.pub/extras - [Classical Topology and Combinatorial Group Theory](https://online.neatra.in/product/classical-topology-and-combinatorial-group-theory/): In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. - [Classical Topics in Complex Function Theory](https://online.neatra.in/product/classical-topics-in-complex-function-theory/) - [Classical Mechanics with Mathematica®](https://online.neatra.in/product/classical-mechanics-with-mathematica/): This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. - [Classical Lie Algebras at Infinity](https://online.neatra.in/product/classical-lie-algebras-at-infinity/): Originating from graduate topics courses given by the first author, this book functions as a unique text-monograph hybrid that bridges a traditional graduate course to research level representation theory. - [Classical Hopf Algebras and Their Applications](https://online.neatra.in/product/classical-hopf-algebras-and-their-applications/): Offers a modern and systematic treatment of the classical structure theory of Hopf algebras Covers the general theory and a wide range of classical and recent applications Written by one of the founders of the theory together with an expert in its most recent developments - [Classical Fourier Analysis](https://online.neatra.in/product/classical-fourier-analysis/): New edition extensively revised and updated, including 1000 different corrections and improvements in the existing text Includes a new chapter, "Topics on Fourier series", including sections on Gibbs phenomenon, summability methods and Jackson's theorem, Tauberian theorems, spherical Fourier inversion, and Fourier transforms on the line Provides motivation for the reader with more examples and applications, new and more relevant hints for the existing exercises, and about 20-30 new exercises in the existing chapters Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material - [Classical Descriptive Set Theory](https://online.neatra.in/product/classical-descriptive-set-theory/): Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text attempts to present a largely balanced approach, which combines many elements of the different traditions of the subject. - [Classes of Directed Graphs](https://online.neatra.in/product/classes-of-directed-graphs/): This edited volume offers a detailed account of the theory of directed graphs from the perspective of important classes of digraphs, with each chapter written by experts on the topic. Outlining fundamental discoveries and new results obtained over recent years, this book provides a comprehensive overview of the latest research in the field. - [City Networks: Collaboration and Planning for Health and Sustainability](https://online.neatra.in/product/city-networks-collaboration-and-planning-for-health-and-sustainability/): Sustainable development within urban and rural areas, transportation systems, logistics, supply chain management, urban health, social services, and architectural design are taken into consideration in the cohesive network models provided in this book. The ideas, methods, and models presented consider city landscapes and quality of life conditions based on mathematical network models and optimization. - [Charge Transport in Low Dimensional Semiconductor Structures: The Maximum Entropy Approach](https://online.neatra.in/product/charge-transport-in-low-dimensional-semiconductor-structures-the-maximum-entropy-approach/): This book offers, from both a theoretical and a computational perspective, an analysis of macroscopic mathematical models for description of charge transport in electronic devices, in particular in the presence of confining effects, such as in the double gate MOSFET. - [Channel Coding Techniques for Wireless Communications](https://online.neatra.in/product/channel-coding-techniques-for-wireless-communications/): Presents a clear and comprehensive overview of all aspects of coding theory for wireless channels Allows readers to gain an understanding of the fundamentals, design, implementation, and applications of coding for wireless channels Includes examples of turbo codes, LDPC codes, LT codes, Raptor codes, and space–time coding, and presents coding and decoding processes as well as the traditional block codes and convolutional codes Includes an in-depth study of multiple-input, multiple-output (MIMO) wireless channel in which multiple antennas are used in both the transmitter and the receiver Illustrates coding techniques and concepts with several fully worked numerical examples Covers freely downloadable MATLAB-based programs to enhance readers’ understanding of the underlying theories - [Chain Conditions in Commutative Rings](https://online.neatra.in/product/chain-conditions-in-commutative-rings/): This book gathers, in a beautifully structured way, recent findings on chain conditions in commutative algebra that were previously only available in papers. The majority of chapters are self-contained, and all include detailed proofs, a wealth of examples and solved exercises, and a complete reference list. - [Certificates of Positivity for Real Polynomials: Theory, Practice, and Applications](https://online.neatra.in/product/certificates-of-positivity-for-real-polynomials-theory-practice-and-applications/): Includes extensive background information for increased accessibility Contains discussion of computational and algorithmic aspects of the subject Features an extensive bibliography - [Cellular Automata: Analysis and Applications](https://online.neatra.in/product/cellular-automata-analysis-and-applications/): This book provides an overview of the main approaches used to analyze the dynamics of cellular automata. Cellular automata are an indispensable tool in mathematical modeling. In contrast to classical modeling approaches like partial differential equations, cellular automata are relatively easy to simulate but difficult to analyze. - [Categories for the Working Mathematician](https://online.neatra.in/product/categories-for-the-working-mathematician/): Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. - [Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems](https://online.neatra.in/product/carleman-estimates-and-applications-to-inverse-problems-for-hyperbolic-systems/): Is based on elementary calculus Provides direct proof of Carleman estimates Is one of the few monographs on the approach using Carleman estimates Includes supplementary material: sn.pub/extras - [Capture-Recapture: Parameter Estimation for Open Animal Populations](https://online.neatra.in/product/capture-recapture-parameter-estimation-for-open-animal-populations/): This comprehensive book, rich with applications, offers a quantitative framework for the analysis of the various capture-recapture models for open animal populations, while also addressing associated computational methods. The state of our wildlife populations provides a litmus test for the state of our environment, especially in light of global warming and the increasing pollution of our land, seas, and air. - [Canard Cycles: From Birth to Transition](https://online.neatra.in/product/canard-cycles-from-birth-to-transition/): Provides a self-contained introduction to the study of families of slow-fast systems on surfaces Contains a unified account of two decades of results on canard cycles Presents essential techniques in the study of canard phenomena in a precise and self-contained way - [Can Mathematics Be Proved Consistent?: Gödel's Shorthand Notes & Lectures on Incompleteness](https://online.neatra.in/product/can-mathematics-be-proved-consistent-godels-shorthand-notes-lectures-on-incompleteness/): Contains a thorough introduction to a very important mathematician's research Features a series of lectures and seminars based on Gödel's results Includes a translation of Gödel's manuscripts from German Gabelsberger shorthand to English - [Calculus Without Derivatives](https://online.neatra.in/product/calculus-without-derivatives/): Includes all necessary preliminary material Introduces fundamental aspects of nonsmooth analysis that impact many applications Presents a balanced picture of the most elementary attempts to replace a derivative with a one-sided generalized derivative called a subdifferential Includes references, notes, exercises and supplements that will give the reader a thorough insight into the subject Includes supplementary material: sn.pub/extras - [Calculus of Variations](https://online.neatra.in/product/calculus-of-variations/): This clear and concise textbook provides a rigorous introduction to the calculus of variations, depending on functions of one variable and their first derivatives. It is based on a translation of a German edition of the book Variationsrechnung (Vieweg+Teubner Verlag, 2010), translated and updated by the author himself. - [Calculus of One Variable](https://online.neatra.in/product/calculus-of-one-variable/): This book is designed to serve as a textbook for courses offered to undergraduate and graduate students enrolled in Mathematics. The first edition of this book was published in 2015. - [Calculus for Scientists and Engineers](https://online.neatra.in/product/calculus-for-scientists-and-engineers/): Explains the basic concepts of calculus with their relevance to real-world problems Focuses on applications from the fields of business, economics, social and behavioural sciences, life sciences, physical sciences, and other fields of general interest Includes at least one real-life application in each section, whenever possible Uses MATLAB to solve a number of problems - [Calabi-Yau Varieties: Arithmetic, Geometry and Physics: Lecture Notes on Concentrated Graduate Courses](https://online.neatra.in/product/calabi-yau-varieties-arithmetic-geometry-and-physics-lecture-notes-on-concentrated-graduate-courses/): Fills a gap in the existing literature, presenting a friendly yet comprehensive introduction of the subject matter Covers diverse streams of current research Provides quick exposure to rapidly developing subjects - [Buildings: Theory and Applications](https://online.neatra.in/product/buildings-theory-and-applications/): Contains all of the material from the previous book, Buildings by K. S. Brown (a short, friendly, elementary introduction to the theory of buildings), and substantially revised, updated, new material Includes advanced content that is appropriate for more advanced students or for self-study, including two new chapters on the Moufang propert Introduces many new exercises and illustrations, as well as hints and solutions--including a separate, extensive solutions manual Thoroughly focuses on all three approachs to buildings, “old-fashioned," combinatorial (chamber systems), and metric so that the reader can learn all three or focus on only one Includes appendices on cell complexes, root systems and algebraic groups Request lecturer material: sn.pub/lecturer-material - [Building Bridges II](https://online.neatra.in/product/building-bridges-ii/): This volume collects together research and survey papers written by invited speakers of the conference celebrating the 70th birthday of László Lovász. - [B-Series: Algebraic Analysis of Numerical Methods](https://online.neatra.in/product/b-series-algebraic-analysis-of-numerical-methods/): A thorough introduction to B-series, written by its originator Contains a self-contained analysis of Runge-Kutta methods Includes a detailed study of trees and related constructs Applies B-series to general linear methods and structure-preserving methods - [Brownian Motion, Martingales, and Stochastic Calculus](https://online.neatra.in/product/brownian-motion-martingales-and-stochastic-calculus/): This book offers a rigorous and self-contained presentation of stochastic integration and stochastic calculus within the general framework of continuous semimartingales. The main tools of stochastic calculus, including Itô’s formula, the optional stopping theorem and Girsanov’s theorem, are treated in detail alongside many illustrative examples. - [Brouwer Degree: The Core of Nonlinear Analysis](https://online.neatra.in/product/brouwer-degree-the-core-of-nonlinear-analysis/): Explores the Brouwer degree and its continuing impact on the development of nonlinear analysis Uses an analytical approach with the language of differential forms to introduce the Brouwer degree with simplicity and clear motivation Presents a broad view of the topic, including a wide variety of applications as well as numerous historical notes - [Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic](https://online.neatra.in/product/brauer-groups-and-obstruction-problems-moduli-spaces-and-arithmetic/): Offers a unique synthesis of techniques: tools from complex algebraic geometry are applied to fundamental questions in number theory and Diophantine geometry Investigates the connection between derived equivalences and existence of rational points on varieties, especially on K3 surfaces Includes a founding paper in the emerging theory of universal triviality of the Chow group of 0-cycles and its relationship to stable rationality problems - [Branching Processes in Biology](https://online.neatra.in/product/branching-processes-in-biology/): Intended for mathematicians, statisticians, and biologists, as well as advanced graduate students More material added in the chapter on infinitely-dimensional multitype processes, including the infinitely-dimensional linear-fractional case Background material expanded. More than 360 citations, including 100 new citations to recent literature Includes supplementary material: sn.pub/extras - [Braid Groups](https://online.neatra.in/product/braid-groups/): Introduces the theory of braids and braid groups Discusses recent developments in the field dealing with the linearity and orderability of braid groups Excellent presentation Includes numerous problems and examples Includes five appendices with other relevant material Includes supplementary material: sn.pub/extras - [Bounded Analytic Functions](https://online.neatra.in/product/bounded-analytic-functions/): Covers a wide range of beautiful topics in analysis Well-organized with detailed proofs Contains numerous exercises and motivation - [Boundary Value Problems, Weyl Functions, and Differential Operators](https://online.neatra.in/product/boundary-value-problems-weyl-functions-and-differential-operators/): This open access book presents a comprehensive survey of modern operator techniques for boundary value problems and spectral theory, employing abstract boundary mappings and Weyl functions. - [Boundary Value Problems with Global Projection Conditions](https://online.neatra.in/product/boundary-value-problems-with-global-projection-conditions/): This book presents boundary value problems for arbitrary elliptic pseudo-differential operators on a smooth compact manifold with boundary. - [Boundary Integral Equations](https://online.neatra.in/product/boundary-integral-equations/): This book contains two parts: The first six chapters present the modern mathematical theory of boundary integral equations with applications on fundamental problems in continuum mechanics and electromagnetics, while the second six chapters present an introduction to the basic theory of classical pseudo-differential operators so that the particular boundary integral equations arising in the aforementioned applications can be recast as pseudo-differential equations which serve as concrete examples illustrating the basic ideas how one may apply the theory of pseudo-differential operators and their calculus to obtain basic properties for the corresponding boundary integral operators. The book is unique in the sense that no existing books provided these two complimentary features simultaneously The two new chapters on Maxwell’s equations summarizing the most up-to-date results in the literature. The book is unique in the sense that these two chapters are sufficiently enough to serve as an introduction to the modern mathematical theory of boundary integral equations in electromagnetics and provide the mathematical foundation of boundary element methods for computational electromagnetics This book is unique in the sense that it includes theory and applications of boundary integral equations arising in potential flow, acoustics, elasticity, Stokes flow and electromagnetics. Because of the breadth of these applications, it will attract a broader readership than any of the exiting books - [Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation](https://online.neatra.in/product/boundary-integral-equation-methods-and-numerical-solutions-thin-plates-on-an-elastic-foundation/): This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation. The solutions of these problems are obtained both analytically—by means of direct and indirect boundary integral equation methods (BIEMs)—and numerically, through the application of a boundary element technique. - [Boolean Representations of Simplicial Complexes and Matroids](https://online.neatra.in/product/boolean-representations-of-simplicial-complexes-and-matroids/): This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory. The book illustrates these new tools to study the classical theory of matroids as well as their important geometric connections. - [Black Box Optimization, Machine Learning, and No-Free Lunch Theorems](https://online.neatra.in/product/black-box-optimization-machine-learning-and-no-free-lunch-theorems/): Beginners will achieve an overview of optimization methods Researchers will gain access to to a useful reference on key topics Mathematical rigour and heuristics approaches equip the reader with different viewpoints on the same problem - [Birational Geometry and Moduli Spaces](https://online.neatra.in/product/birational-geometry-and-moduli-spaces/): This volume collects contributions from speakers at the INdAM Workshop “Birational Geometry and Moduli Spaces”, which was held in Rome on 11–15 June 2018. The workshop was devoted to the interplay between birational geometry and moduli spaces and the contributions of the volume reflect the same idea, focusing on both these areas and their interaction. - [Binomial Ideals](https://online.neatra.in/product/binomial-ideals/): This textbook provides an introduction to the combinatorial and statistical aspects of commutative algebra with an emphasis on binomial ideals. In addition to thorough coverage of the basic concepts and theory, it explores current trends, results, and applications of binomial ideals to other areas of mathematics. - [Bilevel Optimization: Advances and Next Challenges](https://online.neatra.in/product/bilevel-optimization-advances-and-next-challenges/): 2019 marked the 85th anniversary of Heinrich Freiherr von Stackelberg’s habilitation thesis “Marktform und Gleichgewicht,” which formed the roots of bilevel optimization. Research on the topic has grown tremendously since its introduction in the field of mathematical optimization. - [Big Data and Social Media Analytics: Trending Applications](https://online.neatra.in/product/big-data-and-social-media-analytics-trending-applications/): This edited book provides techniques which address various aspects of big data collection and analysis from social media platforms and beyond. - [Bifurcations in Continuous Piecewise Linear Differential Systems: Applications to Low-Dimensional Electronic Oscillators](https://online.neatra.in/product/bifurcations-in-continuous-piecewise-linear-differential-systems-applications-to-low-dimensional-electronic-oscillators/): The book is devoted to the qualitative study of differential equations defined by piecewise linear (PWL) vector fields, mainly continuous, and presenting two or three regions of linearity. The study focuses on the more common bifurcations that PWL differential systems can undergo, with emphasis on those leading to limit cycles. - [Bifurcation Theory of Impulsive Dynamical Systems](https://online.neatra.in/product/bifurcation-theory-of-impulsive-dynamical-systems/): Introduces new framework for nonautonomous dynamical systems Develops theoretical foundations of impulsive functional differential equations, including linear and nonlinear systems, stability, and invariant manifold theory Spotlights recent advances in stability and bifurcation Contains detailed calculations to support application-driven approach Delivers material in self-contained, three-part structure - [Bifurcation and Stability in Nonlinear Dynamical Systems](https://online.neatra.in/product/bifurcation-and-stability-in-nonlinear-dynamical-systems/): This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems. Until now, one does not have any efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums. - [Biased Sampling, Over-identified Parameter Problems and Beyond](https://online.neatra.in/product/biased-sampling-over-identified-parameter-problems-and-beyond/): This book is devoted to biased sampling problems (also called choice-based sampling in Econometrics parlance) and over-identified parameter estimation problems. Biased sampling problems appear in many areas of research, including Medicine, Epidemiology and Public Health, the Social Sciences and Economics. - [Bernstein Operators and Their Properties](https://online.neatra.in/product/bernstein-operators-and-their-properties/): This book provides comprehensive information on the main aspects of Bernstein operators, based on the literature to date. Bernstein operators have a long-standing history and many papers have been written on them. - [BEM-based Finite Element Approaches on Polytopal Meshes](https://online.neatra.in/product/bem-based-finite-element-approaches-on-polytopal-meshes/): This book introduces readers to one of the first methods developed for the numerical treatment of boundary value problems on polygonal and polyhedral meshes, which it subsequently analyzes and applies in various scenarios. The BEM-based finite element approaches employs implicitly defined trial functions, which are treated locally by means of boundary integral equations. - [Basics of Probability and Stochastic Processes](https://online.neatra.in/product/basics-of-probability-and-stochastic-processes/): This textbook explores probability and stochastic processes at a level that does not require any prior knowledge except basic calculus. It presents the fundamental concepts in a step-by-step manner, and offers remarks and warnings for deeper insights. The chapters include basic examples, which are revisited as the new concepts are introduced. - [Basic Representation Theory of Algebras](https://online.neatra.in/product/basic-representation-theory-of-algebras/): Highlights the interplay between Auslander–Reiten theory and the radical of the module category Offers detailed examples and concrete computations that support its approach Can be covered in a one-semester course while also being comprehensive - [Basic Homological Algebra](https://online.neatra.in/product/basic-homological-algebra/): Five years ago, I taught a one-quarter course in homological algebra. I discovered that there was no book which was really suitable as a text for such a short course, so I decided to write one. The point was to cover both Ext and Tor early, and still have enough material for a larger course (one semester or two quarters) going off in any of several possible directions. - [Basic Algebraic Topology and its Applications](https://online.neatra.in/product/basic-algebraic-topology-and-its-applications/): This book provides an accessible introduction to algebraic topology, a ?eld at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. - [Banach Spaces of Continuous Functions as Dual Spaces](https://online.neatra.in/product/banach-spaces-of-continuous-functions-as-dual-spaces/): This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. - [Backward Stochastic Differential Equations: From Linear to Fully Nonlinear Theory](https://online.neatra.in/product/backward-stochastic-differential-equations-from-linear-to-fully-nonlinear-theory/): Provides a systematic study from linear equations to fully nonlinear equations Includes up-to-date developments in the field A powerful and convenient tool for financial engineering and stochastic optimization Accessible to graduate students and junior researchers Includes supplementary material: sn.pub/extras - [Axiomatic Thinking II](https://online.neatra.in/product/axiomatic-thinking-ii/): In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer science and elsewhere. - [Axiomatic Thinking I](https://online.neatra.in/product/axiomatic-thinking-i/): In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer science and elsewhere. - [Asymptotics of Elliptic and Parabolic PDEs: and their Applications in Statistical Physics, Computational Neuroscience, and Biophysics](https://online.neatra.in/product/asymptotics-of-elliptic-and-parabolic-pdes-and-their-applications-in-statistical-physics-computational-neuroscience-and-biophysics/): This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. - [Asymptotic Theory of Weakly Dependent Random Processes](https://online.neatra.in/product/asymptotic-theory-of-weakly-dependent-random-processes/): Presenting tools to aid understanding of asymptotic theory and weakly dependent processes, this book is devoted to inequalities and limit theorems for sequences of random variables that are strongly mixing in the sense of Rosenblatt, or absolutely regular. - [Asymptotic Theory of Dynamic Boundary Value Problems in Irregular Domains](https://online.neatra.in/product/asymptotic-theory-of-dynamic-boundary-value-problems-in-irregular-domains/): Collects main results from scattered papers in this monograph Presents a wide range of applications Extends previously published works with new insights - [Asymptotic Laws and Methods in Stochastics: A Volume in Honour of Miklós Csörgo](https://online.neatra.in/product/asymptotic-laws-and-methods-in-stochastics-a-volume-in-honour-of-miklos-csorgo/): This book contains articles arising from a conference in honour of mathematician-statistician Mikl?s Csörg? on the occasion of his 80th birthday, held in Ottawa in July 2012. It comprises research papers and overview articles, which provide a substantial glimpse of the history and state-of-the-art of the field of asymptotic methods in probability and statistics, written by leading experts. - [Asymptotic Expansion of a Partition Function Related to the Sinh-model](https://online.neatra.in/product/asymptotic-expansion-of-a-partition-function-related-to-the-sinh-model/): This book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greater generality. - [Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations](https://online.neatra.in/product/asymptotic-analysis-of-unstable-solutions-of-stochastic-differential-equations/): This book is devoted to unstable solutions of stochastic differential equations (SDEs). Despite the huge interest in the theory of SDEs, this book is the first to present a systematic study of the instability and asymptotic behavior of the corresponding unstable stochastic systems. - [Astronomy and Calendars – The Other Chinese Mathematics: 104 BC - AD 1644](https://online.neatra.in/product/astronomy-and-calendars-the-other-chinese-mathematics-104-bc-ad-1644/): Presented from the viewpoint of the history of mathematics, this book explores both epistemological aspects of Chinese traditional mathematical astronomy and lunisolar calendrical calculations. - [Assembly Line Balancing under Uncertain Task Time and Demand Volatility](https://online.neatra.in/product/assembly-line-balancing-under-uncertain-task-time-and-demand-volatility/): This book introduces several mathematical models in assembly line balancing based on stochastic programming and develops exact and heuristic methods to solve them. An assembly line system is a manufacturing process in which parts are added in sequence from workstation to workstation until the final assembly is produced. - [Artificial Intelligence, Machine Learning, and Optimization Tools for Smart Cities](https://online.neatra.in/product/artificial-intelligence-machine-learning-and-optimization-tools-for-smart-cities/): This volume offers a wealth of interdisciplinary approaches to artificial intelligence, machine learning and optimization tools, which contribute to the optimization of urban features towards forming smart, sustainable, and livable future cities. - [Artificial Intelligence for Financial Markets: The Polymodel Approach](https://online.neatra.in/product/artificial-intelligence-for-financial-markets-the-polymodel-approach/): This book introduces the novel artificial intelligence technique of polymodels and applies it to the prediction of stock returns. The idea of polymodels is to describe a system by its sensitivities to an environment, and to monitor it, imitating what a natural brain does spontaneously. - [Arthur's Invariant Trace Formula and Comparison of Inner Forms](https://online.neatra.in/product/arthurs-invariant-trace-formula-and-comparison-of-inner-forms/): This monograph provides an accessible and comprehensive introduction to James Arthur’s invariant trace formula, a crucial tool in the theory of automorphic representations. It synthesizes two decades of Arthur’s research and writing into one volume, treating a highly detailed and often difficult subject in a clearer and more uniform manner without sacrificing any technical details. - [Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces](https://online.neatra.in/product/arithmetic-geometry-of-logarithmic-pairs-and-hyperbolicity-of-moduli-spaces/): This textbook introduces exciting new developments and cutting-edge results on the theme of hyperbolicity. Written by leading experts in their respective fields, the chapters stem from mini-courses given alongside three workshops that took place in Montréal between 2018 and 2019. Each chapter is self-contained, including an overview of preliminaries for each respective topic. - [Dynamics of Disasters: Algorithmic Approaches and Applications](https://online.neatra.in/product/dynamics-of-disasters-algorithmic-approaches-and-applications/): This book surveys new algorithmic approaches and applications to natural and man-made disasters such as oil spills, hurricanes, earthquakes and wildfires. - [Dynamics and Control of Trajectory Tubes](https://online.neatra.in/product/dynamics-and-control-of-trajectory-tubes/): This monograph presents theoretical methods involving the Hamilton–Jacobi–Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control. The emphasis is on issues of reachability, feedback control synthesis under complex state constraints, hard or double bounds on controls, and performance in finite time. - [Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps](https://online.neatra.in/product/dynamical-zeta-functions-and-dynamical-determinants-for-hyperbolic-maps/): The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer operators. - [Dynamical Systems with Applications Using Mathematica®](https://online.neatra.in/product/dynamical-systems-with-applications-using-mathematica/): This textbook, now in its second edition, provides a broad introduction to the theory and practice of both continuous and discrete dynamical systems with the aid of the Mathematica software suite. Taking a hands-on approach, the reader is guided from basic concepts to modern research topics. - [Dynamical Systems on 2- and 3-Manifolds](https://online.neatra.in/product/dynamical-systems-on-2-and-3-manifolds/): This book provides an introduction to the topological classification of smooth structurally stable diffeomorphisms on closed orientable 2- and 3-manifolds.The topological classification is one of the main problems of the theory of dynamical systems and the results presented in this book are mostly for dynamical systems satisfying Smale's Axiom A. - [Distributions in the Physical and Engineering Sciences, Volume 3: Random and Anomalous Fractional Dynamics in Continuous Media](https://online.neatra.in/product/distributions-in-the-physical-and-engineering-sciences-volume-3-random-and-anomalous-fractional-dynamics-in-continuous-media/): Continuing the authors’ multivolume project, this text considers the theory of distributions from an applied perspective, demonstrating how effective a combination of analytic and probabilistic methods can be for solving problems in the physical and engineering sciences. Volume 1 covered foundational topics such as distributional and fractional calculus, the integral transform, and wavelets, and Volume 2 explored linear and nonlinear dynamics in continuous media. - [Distributions and Operators](https://online.neatra.in/product/distributions-and-operators/): Provides a more detailed and explicit elementary access to distribution theory than is found in most other books. Contains unique topics The author has made this easily accessible to advanced undergraduates, as well as graduates - [Distribution Theory Applied to Differential Equations](https://online.neatra.in/product/distribution-theory-applied-to-differential-equations/): This book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex functions, functions of lower semicontinuity, the subdifferential of a convex function). - [Distributed Optimization: Advances in Theories, Methods, and Applications](https://online.neatra.in/product/distributed-optimization-advances-in-theories-methods-and-applications/): This book offers a valuable reference guide for researchers in distributed optimization and for senior undergraduate and graduate students alike. Focusing on the natures and functions of agents, communication networks and algorithms in the context of distributed optimization for networked control systems, this book introduces readers to the background of distributed optimization; recent developments in distributed algorithms for various types of underlying communication networks; the implementation of computation-efficient and communication-efficient strategies in the execution of distributed algorithms; and the frameworks of convergence analysis and performance evaluation. - [Discrete Probability Models and Methods](https://online.neatra.in/product/discrete-probability-models-and-methods/): The emphasis in this book is placed on general models (Markov chains, random fields, random graphs), universal methods (the probabilistic method, the coupling method, the Stein-Chen method, martingale methods, the method of types) and versatile tools (Chernoff's bound, Hoeffding's inequality, Holley's inequality) whose domain of application extends far beyond the present text. - [Discrete Mathematics and Applications](https://online.neatra.in/product/discrete-mathematics-and-applications/): Unifies interdisciplinary applications, problems, and approaches Highlights advances in discrete mathematics with real world applications Contains contributions from leading experts - [Discrete Fractional Calculus](https://online.neatra.in/product/discrete-fractional-calculus/): This text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. - [Discrete and Continuous Models in the Theory of Networks](https://online.neatra.in/product/discrete-and-continuous-models-in-the-theory-of-networks/): This book contains contributions from the participants of the research group hosted by the ZiF - Center for Interdisciplinary Research at the University of Bielefeld during the period 2013-2017 as well as from the conclusive conference organized at Bielefeld in December 2017. The contributions consist of original research papers: they mirror the scientific developments fostered by this research program or the state-of-the-art results presented during the conclusive conference. - [Disagreement Behavior Analysis of Signed Networks](https://online.neatra.in/product/disagreement-behavior-analysis-of-signed-networks/): This book investigates the disagreement behavior analysis problems for signed networks in the presence of both cooperative and antagonistic interactions among agents. - [Direct and Inverse Scattering for the Matrix Schrödinger Equation](https://online.neatra.in/product/direct-and-inverse-scattering-for-the-matrix-schrodinger-equation/): Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schrödinger equation on the half line with the general selfadjoint boundary condition. - [Dirac Matter](https://online.neatra.in/product/dirac-matter/): This fifteenth volume of the Poincare Seminar Series, Dirac Matter, describes the surprising resurgence, as a low-energy effective theory of conducting electrons in many condensed matter systems, including graphene and topological insulators, of the famous equation originally invented by P.A.M. Dirac for relativistic quantum mechanics. - [Diophantine Equations and Power Integral Bases: Theory and Algorithms](https://online.neatra.in/product/diophantine-equations-and-power-integral-bases-theory-and-algorithms/): This monograph outlines the structure of index form equations, and makes clear their relationship to other classical types of Diophantine equations. In order to more efficiently determine generators of power integral bases, several algorithms and methods are presented to readers, many of which are new developments in the field. - [Diophantine Approximation and Dirichlet Series](https://online.neatra.in/product/diophantine-approximation-and-dirichlet-series/): Includes a new chapter on the study of composition operators on the Hardy spaces Combines different aspects of Dirichlet series in a way not presented before in other publications Constructs rigorous mathematical approach towards Diophantine approximation and Dirichlet series - [Diophantine Analysis: Course Notes from a Summer School](https://online.neatra.in/product/diophantine-analysis-course-notes-from-a-summer-school/): This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker’s method of bounding linear forms in logarithms (authored by Sanda Buja?i? and Alan Filipin), metric diophantine approximation discussing in particular the yet unsolved Littlewood conjecture (by Simon Kristensen), Minkowski’s geometry of numbers and modern variations by Bombieri and Schmidt (Tapani Matala-aho), and a historical account of related number theory(ists) at the turn of the 19th Century (Nicola M.R. Oswald). - [Dimension Theory](https://online.neatra.in/product/dimension-theory/): This book covers the fundamental results of the dimension theory of metrizable spaces, especially in the separable case. Its distinctive feature is the emphasis on the negative results for more general spaces, presenting a readable account of numerous counterexamples to well-known conjectures that have not been discussed in existing books. - [Digital Transformation of Identity in the Age of Artificial Intelligence](https://online.neatra.in/product/digital-transformation-of-identity-in-the-age-of-artificial-intelligence/): This book examines the digital transformation of identity in the age of artificial intelligence. It articulates the nature of identity of human beings, based on cutting-edge knowledge in the field of AI and big-data sciences, and discusses identity by drawing on comprehensive investigations in digital social sciences and exploring wider disciplines related to philosophy, ethics, sociology, STS, computer sciences, engineering, and medical sciences. - [Digital Signal Processing: Theory and Practice](https://online.neatra.in/product/digital-signal-processing-theory-and-practice/): The book provides a comprehensive exposition of all major topics in digital signal processing (DSP). With numerous illustrative examples for easy understanding of teh topics, it also includes MATLAB-based examples with codes in order to encourage the readers to become more confident of the fundamentals and to gain insights into DSP. - [Diffusion in Random Fields: Applications to Transport in Groundwater](https://online.neatra.in/product/diffusion-in-random-fields-applications-to-transport-in-groundwater/): This book presents, in an accessible and self-consistent way, the theory of diffusion in random velocity fields, together with robust numerical simulation approaches. The focus is on transport processes in natural porous media, with applications to contaminant transport in groundwater. - [Differential Topology](https://online.neatra.in/product/differential-topology/): This book presents some of the basic topological ideas used in studying differentiable manifolds and maps. Mathematical prerequisites have been kept to a minimum| the standard course in analysis and general topology is adequate preparation. - [Differential Heterogenesis: Mutant Forms, Sensitive Bodies](https://online.neatra.in/product/differential-heterogenesis-mutant-forms-sensitive-bodies/): This book describes about unlike usual differential dynamics common in mathematical physics, heterogenesis is based on the assemblage of differential constraints that are different from point to point. The construction of differential assemblages will be introduced in the present study from the mathematical point of view, outlining the heterogeneity of the differential constraints and of the associated phase spaces, that are continuously changing in space and time. - [Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces](https://online.neatra.in/product/differential-geometry-manifolds-curves-and-surfaces-manifolds-curves-and-surfaces/): This book consists of two parts, different in form but similar in spirit. The first, which comprises chapters 0 through 9, is a revised and somewhat enlarged version of the 1972 book Geometrie Differentielle. - [Differential Geometry, Differential Equations, and Mathematical Physics](https://online.neatra.in/product/differential-geometry-differential-equations-and-mathematical-physics/): This volume presents lectures given at the Wis?a 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wis?a, Poland, and was organized by the Baltic Institute of Mathematics. - [Differential Geometry of Curves and Surfaces](https://online.neatra.in/product/differential-geometry-of-curves-and-surfaces/): Can be used as a textbook in elementary and more advanced courses in differential geometry Focuses on applications of differential geometry, lending simplicity to more difficult and abstract concepts Features full-color text and inserts to distinguish fundamental definitions and theorems Includes supplementary material: sn.pub/extras - [Differential Geometry and Lie Groups: A Second Course](https://online.neatra.in/product/differential-geometry-and-lie-groups-a-second-course/): Explores the advanced mathematical theory behind modern geometry processing Offers a uniquely accessible approach that is suitable for students and professionals alike Augments core topics in advanced differential geometry with analytic and algebraic perspectives Includes exercises throughout that are suitable for class use or independent study - [Differential Geometry and Lie Groups: A Computational Perspective](https://online.neatra.in/product/differential-geometry-and-lie-groups-a-computational-perspective/): Illuminates the mathematical theory behind modern geometry processing Offers a uniquely accessible entry-point that is suitable for students and professionals alike Builds the mathematical theory behind modern applications in medical imaging, computer vision, robotics, and machine learning Includes exercises throughout that are suitable for class use or independent study - [Differential Geometry](https://online.neatra.in/product/differential-geometry-2/): This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern–Weil theory of characteristic classes on a principal bundle. - [Differential Geometry](https://online.neatra.in/product/differential-geometry/): This book combines the classical and contemporary approaches to differential geometry. An introduction to the Riemannian geometry of manifolds is preceded by a detailed discussion of properties of curves and surfaces. - [Differential Forms in Algebraic Topology](https://online.neatra.in/product/differential-forms-in-algebraic-topology/): The guiding principle in this book is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Accord­ ingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype of all of cohomology. - [Differential Equations: Practice Problems, Methods, and Solutions](https://online.neatra.in/product/differential-equations-practice-problems-methods-and-solutions/): This study guide is designed for students taking courses in differential equations. The textbook includes examples, questions, and exercises that will help engineering students to review and sharpen their knowledge of the subject and enhance their performance in the classroom. - [Differential Equations on Manifolds and Mathematical Physics](https://online.neatra.in/product/differential-equations-on-manifolds-and-mathematical-physics/): This is a volume originating from the Conference on Partial Differential Equations and Applications, which was held in Moscow in November 2018 in memory of professor Boris Sternin and attracted more than a hundred participants from eighteen countries. The conference was mainly dedicated to partial differential equations on manifolds and their applications in mathematical physics, geometry, topology, and complex analysis. - [Differential and Riemannian Manifolds](https://online.neatra.in/product/differential-and-riemannian-manifolds/): This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great expansion of the subject. - [Differential and Integral Inequalities](https://online.neatra.in/product/differential-and-integral-inequalities/): Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. - [Differential and Complex Geometry: Origins, Abstractions and Embeddings](https://online.neatra.in/product/differential-and-complex-geometry-origins-abstractions-and-embeddings/): Differential and complex geometry are two central areas of mathematics with a long and intertwined history. This book, the first to provide a unified historical perspective of both subjects, explores their origins and developments from the sixteenth to the twentieth century. - [Differential Analysis on Complex Manifolds](https://online.neatra.in/product/differential-analysis-on-complex-manifolds/): Presents a concise introduction to the basics of analysis and geometry on compact complex manifolds Provides tools which are the building blocks of many mathematical developments over the past 30 years The new edition contains a 40 page appendix which updates the text for the modern reader Includes exercises and examples which are ideal for use in a classroom setting - [Differentiable Manifolds: A Theoretical Physics Approach](https://online.neatra.in/product/differentiable-manifolds-a-theoretical-physics-approach/): This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The first three chapters introduce the basic concepts of the theory, such as differentiable maps, tangent vectors, vector and tensor fields, differential forms, local one-parameter groups of diffeomorphisms, and Lie derivatives. - [Differentiability in Banach Spaces, Differential Forms and Applications](https://online.neatra.in/product/differentiability-in-banach-spaces-differential-forms-and-applications/): This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differential form formalism and to address the Stokes' Theorem and its applications. - [Dialogues Between Physics and Mathematics: C. N. Yang at 100](https://online.neatra.in/product/dialogues-between-physics-and-mathematics-c-n-yang-at-100/): This volume celebrates the 100th birthday of Professor Chen-Ning Frank Yang (Nobel 1957), one of the giants of modern science and a living legend. Starting with reminiscences of Yang's time at the research centre for theoretical physics at Stonybrook (now named C. N. Yang Institute) by his successor Peter van Nieuwenhuizen, the book is a collection of articles by world-renowned mathematicians and theoretical physicists. - [Dialetheism and its Applications](https://online.neatra.in/product/dialetheism-and-its-applications/): The purpose of this book is to present unpublished papers at the cutting edge of research on dialetheism and to reflect recent work on the applications of the theory. It includes contributions from some of the most respected scholars in the field, as well as from young, up-and-coming philosophers working on dialetheism. - [Deterministic, Stochastic and Thermodynamic Modelling of some Interacting Species](https://online.neatra.in/product/deterministic-stochastic-and-thermodynamic-modelling-of-some-interacting-species/): Discusses the behavior and mathematical model of interacting species in a thermodynamic environment Deals with a unique insight into the mathematical richness of basic ecological models Discusses several possible modifications to the models of mathematical ecology - [Determinants, Gröbner Bases and Cohomology](https://online.neatra.in/product/determinants-grobner-bases-and-cohomology/): This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of methods used in their study, with tools from combinatorics, algebra, representation theory and geometry. After a concise introduction to Gröbner and Sagbi bases, determinantal ideals are studied via the standard monomial theory and the straightening law. - [Dessins d'Enfants on Riemann Surfaces](https://online.neatra.in/product/dessins-denfants-on-riemann-surfaces/): This volume provides an introduction to dessins d'enfants and embeddings of bipartite graphs in compact Riemann surfaces. The first part of the book presents basic material, guiding the reader through the current field of research. - [Design of Observational Studies](https://online.neatra.in/product/design-of-observational-studies/): This second edition of Design of Observational Studies is both an introduction to statistical inference in observational studies and a detailed discussion of the principles that guide the design of observational studies. An observational study is an empiric investigation of effects caused by treatments when randomized experimentation is unethical or infeasible. - [Design and Applications of Nature Inspired Optimization: Contribution of Women Leaders in the Field](https://online.neatra.in/product/design-and-applications-of-nature-inspired-optimization-contribution-of-women-leaders-in-the-field/): This book gives a detailed information of various real-life applications from various fields using nature inspired optimization techniques. These techniques are proven to be efficient and robust in many difficult problems in literature. - [Derivative Securities and Difference Methods](https://online.neatra.in/product/derivative-securities-and-difference-methods/): New chapters and subsections added Exercises are included at the end of each chapter Covers a variety of topics in finance Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material - [Denumerable Markov Chains: with a chapter of Markov Random Fields by David Griffeath](https://online.neatra.in/product/denumerable-markov-chains-with-a-chapter-of-markov-random-fields-by-david-griffeath/): With the first edition out of print, we decided to arrange for republi­ cation of Denumerrible Markov Ohains with additional bibliographic material. - [Delay Differential Equations and Applications to Biology](https://online.neatra.in/product/delay-differential-equations-and-applications-to-biology/): Discusses topics in delay differential equations, including theory, numerical methods, stability and control, and biological models Combines both qualitative and quantitative features of delay differential equations with real-life problems Provides interesting applications in infectious diseases, including COVID-19 - [Degree Theory for Discontinuous Operators: Applications to Discontinuous Differential Equations](https://online.neatra.in/product/degree-theory-for-discontinuous-operators-applications-to-discontinuous-differential-equations/): This book opens a novel and fruitful line of research based on a generalized degree theory Expands available techniques employed to prove existence of solutions for discontinuous problems Presents many potential applications to other fields - [Deformation Theory](https://online.neatra.in/product/deformation-theory/): First ever textbook on deformation theory Bestselling Springer author, Robin Hartshorne Text contains plenty of motivation, enhanced with numerous exercises and examples Includes supplementary material: sn.pub/extras - [Deep Learning Architectures](https://online.neatra.in/product/deep-learning-architectures/): This book describes how neural networks operate from the mathematical point of view. As a result, neural networks can be interpreted both as function universal approximators and information processors. - [Decorrelative Mollifier Gravimetry: Basics, Ideas, Concepts, and Examples](https://online.neatra.in/product/decorrelative-mollifier-gravimetry-basics-ideas-concepts-and-examples/): Provides new insight into the current state of multi-scale gravimetric research and its applications in geoexploration Demonstrates how reducing gravimetry to mathematically accessible decorrelated models can make unresolved questions and problems of gravimetry accessible to a broad scientific audience Highlights the interconnection of several different geo-disciplines Incorporates data and numerical results from methodological tests in the German Saarland area - [De Rham Cohomology of Differential Modules on Algebraic Varieties](https://online.neatra.in/product/de-rham-cohomology-of-differential-modules-on-algebraic-varieties/): Simplifies the approach to birational properties of connections, based on a formal analysis of singularities at infinity Features a discussion on the stability of properties of connections based on higher direct images under a smooth morphism, only using basic tools of coherent cohomology Presents a unified approach to GAGA-type theorems in De Rham cohomology covering both complex and $p$-adic analytifications - [Data-Driven Iterative Learning Control for Discrete-Time Systems](https://online.neatra.in/product/data-driven-iterative-learning-control-for-discrete-time-systems/): This book belongs to the subject of control and systems theory. It studies a novel data-driven framework for the design and analysis of iterative learning control (ILC) for nonlinear discrete-time systems. - [Data Science for Public Policy](https://online.neatra.in/product/data-science-for-public-policy/): Combines anecdotes from public sector experience with technical aspects of field Addresses current topics in ethics and fairness, data product development, and team organization in data science Includes data sets and functioning code examples - [Data Assimilation](https://online.neatra.in/product/data-assimilation/): This book provides a systematic treatment of the mathematical underpinnings of work in data assimilation, covering both theoretical and computational approaches. - [Data Analysis for Direct Numerical Simulations of Turbulent Combustion: From Equation-Based Analysis to Machine Learning](https://online.neatra.in/product/data-analysis-for-direct-numerical-simulations-of-turbulent-combustion-from-equation-based-analysis-to-machine-learning/): This book presents methodologies for analysing large data sets produced by the direct numerical simulation (DNS) of turbulence and combustion. It describes the development of models that can be used to analyse large eddy simulations, and highlights both the most common techniques and newly emerging ones. - [D.D. Kosambi: Selected Works in Mathematics and Statistics](https://online.neatra.in/product/d-d-kosambi-selected-works-in-mathematics-and-statistics/): This book fills an important gap in studies on D. D. Kosambi. For the first time, the mathematical work of Kosambi is described, collected and presented in a manner that is accessible to non-mathematicians as well. A number of his papers that are difficult to obtain in these areas are made available here. - [Cyclotomic Fields I and II](https://online.neatra.in/product/cyclotomic-fields-i-and-ii/): Kummer's work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi, Artin and others. - [Curvature Measures of Singular Sets](https://online.neatra.in/product/curvature-measures-of-singular-sets/): The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces. Its focus lies on sets with positive reach and some extensions, which include the classical polyconvex sets and piecewise smooth submanifolds as special cases. The measures under consideration form a complete system of certain Euclidean invariants. - [Current Topics in Summability Theory and Applications](https://online.neatra.in/product/current-topics-in-summability-theory-and-applications/): This book discusses recent developments in and contemporary research on summability theory, including general summability methods, direct theorems on summability, absolute and strong summability, special methods of summability, functional analytic methods in summability, and related topics and applications. - [Cubic Forms and the Circle Method](https://online.neatra.in/product/cubic-forms-and-the-circle-method/): Gives a modern account of the Hardy–Littlewood circle method Including its workings over number fields and function fields Illustrates the use of the circle method in algebraic geometry - [Crowd Dynamics, Volume 3](https://online.neatra.in/product/crowd-dynamics-volume-3/): This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, engineering, and psychology, providing a comprehensive overview of the work carried out in this challenging interdisciplinary research field. - [Crowd Dynamics, Volume 2](https://online.neatra.in/product/crowd-dynamics-volume-2/): This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, engineering, and psychology, providing a comprehensive overview of the work carried out in this challenging interdisciplinary research field. - [Covariance and Gauge Invariance in Continuum Physics: Application to Mechanics, Gravitation, and Electromagnetism](https://online.neatra.in/product/covariance-and-gauge-invariance-in-continuum-physics-application-to-mechanics-gravitation-and-electromagnetism/): This book presents a Lagrangian approach model to formulate various fields of continuum physics, ranging from gradient continuum elasticity to relativistic gravito-electromagnetism. It extends the classical theories based on Riemann geometry to Riemann-Cartan geometry, and then describes non-homogeneous continuum and spacetime with torsion in Einstein-Cartan relativistic gravitation. - [Counting with Symmetric Functions](https://online.neatra.in/product/counting-with-symmetric-functions/): A self-contained introduction to symmetric functions and their use in counting problems First book to consider many of the methods and results presented Unifies a large number of results? in the theory of permutation enumeration Numerous exercises with full solutions included throughout Includes supplementary material: sn.pub/extras - [Convex Polytopes](https://online.neatra.in/product/convex-polytopes/): Includes supplementary material: sn.pub/extras - [Convex Optimization with Computational Errors](https://online.neatra.in/product/convex-optimization-with-computational-errors/): This textbook offers readers a self-contained introduction to quantitative Tamarkin category theory. - [Convex Functions and Their Applications: A Contemporary Approach](https://online.neatra.in/product/convex-functions-and-their-applications-a-contemporary-approach/): Contains applications in mathematics, engineering, economics, and optimization theory Can be used as a research monograph or a graduate textbook Thorough update of reference list - [Convex Analysis and Monotone Operator Theory in Hilbert Spaces](https://online.neatra.in/product/convex-analysis-and-monotone-operator-theory-in-hilbert-spaces/): Tight interplay among the key notions of convexity, monotonicity, and nonexpansiveness Accessible to a broad audience Coverage of many applications of interest to practitioners in finite- and infinite- dimensional spaces More than 500 exercises are distributed throughout the book Includes supplementary material: sn.pub/extras - [Convex Analysis and Beyond](https://online.neatra.in/product/convex-analysis-and-beyond/): This book presents a unified theory of convex functions, sets, and set-valued mappings in topological vector spaces with its specifications to locally convex, Banach and finite-dimensional settings. These developments and expositions are based on the powerful geometric approach of variational analysis, which resides on set extremality with its characterizations and specifications in the presence of convexity. - [Convergence and Summability of Fourier Transforms and Hardy Spaces](https://online.neatra.in/product/convergence-and-summability-of-fourier-transforms-and-hardy-spaces/): Explores comprehensively the summability of Fourier transforms as well as the theory of Hardy spaces Gathers classical results as well as recent results from the past 20-30 years Considers strong summability introduced by current methodology - [Controllability of Singularly Perturbed Linear Time Delay Systems](https://online.neatra.in/product/controllability-of-singularly-perturbed-linear-time-delay-systems/): First research monograph devoted to the analysis of the control of singularly perturbed linear time delay systems Brings together and further develops the author’s previous research on the topic Presents material in a comprehensive, self-contained manner, allowing for chapters to be studied independently or consecutively - [Controllability and Stabilization of Parabolic Equations](https://online.neatra.in/product/controllability-and-stabilization-of-parabolic-equations/): Provides a survey of available techniques for stabilizing parabolic boundary value problems Draws from the author's years of lectures and teaching on control theory for parabolic equations Discusses the construction of nonlinear feedback controllers for steering system states - [Control Problems for Conservation Laws with Traffic Applications](https://online.neatra.in/product/control-problems-for-conservation-laws-with-traffic-applications/): Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different types of control problems for conservation laws that arise in the modeling of vehicular traffic. - [Contradictions, from Consistency to Inconsistency](https://online.neatra.in/product/contradictions-from-consistency-to-inconsistency/): This volume investigates what is beyond the Principle of Non-Contradiction. It features 14 papers on the foundations of reasoning, including logical systems and philosophical considerations. - [Continuous-Time Markov Decision Processes](https://online.neatra.in/product/continuous-time-markov-decision-processes/): This book offers a systematic and rigorous treatment of continuous-time Markov decision processes, covering both theory and possible applications to queueing systems, epidemiology, finance, and other fields. Unlike most books on the subject, much attention is paid to problems with functional constraints and the realizability of strategies. - [Continuous Time Processes for Finance: Switching, Self-exciting, Fractional and other Recent Dynamics](https://online.neatra.in/product/continuous-time-processes-for-finance-switching-self-exciting-fractional-and-other-recent-dynamics/): This book explores recent topics in quantitative finance with an emphasis on applications and calibration to time-series. This last aspect is often neglected in the existing mathematical finance literature while it is crucial for risk management. - [Continuous Semigroups of Holomorphic Self-maps of the Unit Disc](https://online.neatra.in/product/continuous-semigroups-of-holomorphic-self-maps-of-the-unit-disc/): The book faces the interplay among dynamical properties of semigroups, analytical properties of infinitesimal generators and geometrical properties of Koenigs functions. The book includes precise descriptions of the behavior of trajectories, backward orbits, petals and boundary behavior in general, aiming to give a rather complete picture of all interesting phenomena that occur. - [Continuous Nowhere Differentiable Functions: The Monsters of Analysis](https://online.neatra.in/product/continuous-nowhere-differentiable-functions-the-monsters-of-analysis/): Provides a systematic reference for research into, and courses on, the subject of continuous nowhere differentiable functions Anthologizes over 150 years of progress on the topic of continuous nowhere differentiable functions Consolidates an array of established results into a single, self-contained volume including detailed proofs Includes supplementary material: sn.pub/extras - [Continuity Theory](https://online.neatra.in/product/continuity-theory/): This book presents a detailed, self-contained theory of continuous mappings. It is mainly addressed to students who have already studied these mappings in the setting of metric spaces, as well as multidimensional differential calculus. - [Continued Fractions and Signal Processing](https://online.neatra.in/product/continued-fractions-and-signal-processing/): Numerous step-by-step tutorials help the reader to learn quickly A special chapter on next generation Flash prepares readers for the future Includes ten tips on how to protect flash sites from hackers - [Contemporary Research in Elliptic PDEs and Related Topics](https://online.neatra.in/product/contemporary-research-in-elliptic-pdes-and-related-topics/): This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017. The contributions cover several aspects of partial differential equations whose development in recent years has experienced major breakthroughs in terms of both theory and applications. - [Contact Geometry of Slant Submanifolds](https://online.neatra.in/product/contact-geometry-of-slant-submanifolds/): This book contains an up-to-date survey and self-contained chapters on contact slant submanifolds and geometry, authored by internationally renowned researchers. The notion of slant submanifolds was introduced by Prof. B.Y. Chen in 1990, and A. Lotta extended this notion in the framework of contact geometry in 1996. - [Construction of Wavelets Through Walsh Functions](https://online.neatra.in/product/construction-of-wavelets-through-walsh-functions/): Focuses on the fusion of wavelets and Walsh analysis, involving non-trigonometric function series Presents the basic properties of non-trigonometric orthonormal systems Discusses the most important results of Walsh and Haar analysis Identifies the Haar wavelet as the simplest example of a wavelet, and the Walsh function as the first example of a wavelet packet - [Constraint Theory: Multidimensional Mathematical Model Management](https://online.neatra.in/product/constraint-theory-multidimensional-mathematical-model-management/): Perfect for the practical engineer who wishes to gain greater control of multidimensional mathematical models Expands the first edition with new material and research on constraint theory Includes a large number of topological pictures that make the material more accessible A classic reference for all engineers, mathematicians, and managers concerned with modeling Includes supplementary material: sn.pub/extras - [Conformally Invariant Metrics and Quasiconformal Mappings](https://online.neatra.in/product/conformally-invariant-metrics-and-quasiconformal-mappings/): This book is an introduction to the theory of quasiconformal and quasiregular mappings in the euclidean n-dimensional space, (where n is greater than 2). There are many ways to develop this theory as the literature shows. - [Conformal Geometry: Computational Algorithms and Engineering Applications](https://online.neatra.in/product/conformal-geometry-computational-algorithms-and-engineering-applications/): This book offers an essential overview of computational conformal geometry applied to fundamental problems in specific engineering fields. It introduces readers to conformal geometry theory and discusses implementation issues from an engineering perspective. - [Configuration Spaces](https://online.neatra.in/product/configuration-spaces/): High-level contributions by leading experts in the field Fully refereed original papers Provides an ideal resource for researchers seeking an overview of current trends - [Computing the Continuous Discretely](https://online.neatra.in/product/computing-the-continuous-discretely/): This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as beginning graduate students, this second edition is perfect for a capstone course, and adds two new chapters, many new exercises, and updated open problems. - [Computer Algebra: An Algorithm-Oriented Introduction](https://online.neatra.in/product/computer-algebra-an-algorithm-oriented-introduction/): Balances theoretical and practical aspects with an implementation-oriented approach Guides readers through numerous hands-on tutorials to build practical skills and algorithmic thinking Supports three computer algebra systems with downloadable resources in Mathematica, Maple, and Maxima - [Computational Mathematics and Applications](https://online.neatra.in/product/computational-mathematics-and-applications/): Offers the latest research developments in areas of theoretical, applied, and computational mathematics Presents interdisciplinary topics from areas such as computer science, fluid mechanics, and numerical analysis Appeals to a wider audience, including industrialists, scientists, engineers, and students Includes results with rigorous proofs and tools needed for the successful applications - [Computational Linear and Commutative Algebra](https://online.neatra.in/product/computational-linear-and-commutative-algebra/): This book combines, in a novel and general way, an extensive development of the theory of families of commuting matrices with applications to zero-dimensional commutative rings, primary decompositions and polynomial system solving. - [Computational Invariant Theory](https://online.neatra.in/product/computational-invariant-theory/): This book is about the computational aspects of invariant theory. Of central interest is the question how the invariant ring of a given group action can be calculated. Algorithms for this purpose form the main pillars around which the book is built. - [Computational Intelligence and Optimization Methods for Control Engineering](https://online.neatra.in/product/computational-intelligence-and-optimization-methods-for-control-engineering/): This volume presents some recent and principal developments related to computational intelligence and optimization methods in control. Theoretical aspects and practical applications of control engineering are covered by 14 self-contained contributions. - [Computability: A Mathematical Sketchbook](https://online.neatra.in/product/computability-a-mathematical-sketchbook/): Aimed at mathematicians and computer scientists who will only be exposed to one course in this area, Computability: A Mathematical Sketchbook provides a brief but rigorous introduction to the abstract theory of computation, sometimes also referred to as recursion theory. - [Compressed Sensing in Information Processing](https://online.neatra.in/product/compressed-sensing-in-information-processing/): This contributed volume showcases the most significant results obtained from the DFG Priority Program on Compressed Sensing in Information Processing. - [Functional Analytic Techniques for Diffusion Processes](https://online.neatra.in/product/functional-analytic-techniques-for-diffusion-processes/): This book is an easy-to-read reference providing a link between functional analysis and diffusion processes. More precisely, the book takes readers to a mathematical crossroads of functional analysis (macroscopic approach), partial differential equations (mesoscopic approach), and probability (microscopic approach) via the mathematics needed for the hard parts of diffusion processes. - [Functional Analysis, Spectral Theory, and Applications](https://online.neatra.in/product/functional-analysis-spectral-theory-and-applications/): Presents core material in functional analysis alongside several advanced topics Includes over 400 exercises, with essential exercises marked as such Gives a careful introduction to amenability, property (T), and expander graphs Develops relatively advanced material in spectral theory, including a connection of the spectral theory of Banach algebras to the prime number theorem - [Functional Analysis, Calculus of Variations and Optimal Control](https://online.neatra.in/product/functional-analysis-calculus-of-variations-and-optimal-control/): A self-contained in-depth introduction to functional analysis and the related fields of optimal control and the calculus of variations that is unique in its coverage Written in a lively and engaging style by a leading specialist Includes a short course on optimization and nonsmooth analysis Gives complete proofs of advanced versions of the Pontryagin maximum principle that appear for the first time in a textbook Contains hundreds of exercises of an original nature, with solutions or hints in many cases Includes supplementary material: sn.pub/extras - [Functional Analysis and the Feynman Operator Calculus](https://online.neatra.in/product/functional-analysis-and-the-feynman-operator-calculus/): This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. - [Functional Analysis and Applications](https://online.neatra.in/product/functional-analysis-and-applications/): This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. - [Frontiers of Dynamic Games: Game Theory and Management, St. Petersburg, 2018](https://online.neatra.in/product/frontiers-of-dynamic-games-game-theory-and-management-st-petersburg-2018/): Presents new theoretical results and applications of game theory Explains how game theory is an extremely important tool for economic theory and operations research Contributes to a better understanding of human behavior in the process of decision-making in situations of conflict - [Frontiers in PDE-Constrained Optimization](https://online.neatra.in/product/frontiers-in-pde-constrained-optimization/): This volume provides a broad and uniform introduction of PDE-constrained optimization as well as to document a number of interesting and challenging applications. - [Frontiers in Games and Dynamic Games](https://online.neatra.in/product/frontiers-in-games-and-dynamic-games/): This contributed volume presents the state-of-the-art of games and dynamic games, featuring several chapters based on plenary sessions at the ISDG-China Chapter Conference on Dynamic Games and Game Theoretic Analysis, which was held from August 3-5, 2017 at the Ningbo campus of the University of Nottingham, China. - [Frontiers in Analysis and Probability: In the Spirit of the Strasbourg-Zürich Meetings](https://online.neatra.in/product/frontiers-in-analysis-and-probability-in-the-spirit-of-the-strasbourg-zurich-meetings/): The volume presents extensive research devoted to a broad spectrum of mathematical analysis and probability theory. Subjects discussed in this Work are those treated in the so-called Strasbourg–Zürich Meetings. - [From Statistics to Mathematical Finance: Festschrift in Honour of Winfried Stute](https://online.neatra.in/product/from-statistics-to-mathematical-finance-festschrift-in-honour-of-winfried-stute/): This book, dedicated to Winfried Stute on the occasion of his 70th birthday, presents a unique collection of contributions by leading experts in statistics, stochastic processes, mathematical finance and insurance. - [From Riemann to Differential Geometry and Relativity](https://online.neatra.in/product/from-riemann-to-differential-geometry-and-relativity/): This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. - [From Probability to Finance](https://online.neatra.in/product/from-probability-to-finance/): This volume presents a collection of lecture notes of mini-courses taught at BICMR Summer School of Financial Mathematics, from May 29 to June 9, 2017. - [From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory: A Volume in Honor of Lance Littlejohn's 70th Birthday](https://online.neatra.in/product/from-operator-theory-to-orthogonal-polynomials-combinatorics-and-number-theory-a-volume-in-honor-of-lance-littlejohns-70th-birthday/): Celebrates Lance Littlejohn's achievements Spans over many areas in analysis Contains contributions of international specialists - [From Fourier Analysis to Wavelets](https://online.neatra.in/product/from-fourier-analysis-to-wavelets/): This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform. - [From Differential Geometry to Non-commutative Geometry and Topology](https://online.neatra.in/product/from-differential-geometry-to-non-commutative-geometry-and-topology/): This book aims to provide a friendly introduction to non-commutative geometry. It studies index theory from a classical differential geometry perspective up to the point where classical differential geometry methods become insufficient. - [From Classical to Modern Analysis](https://online.neatra.in/product/from-classical-to-modern-analysis/): This innovative textbook bridges the gap between undergraduate analysis and graduate measure theory by guiding students from the classical foundations of analysis to more modern topics like metric spaces and Lebesgue integration. Designed for a two-semester introduction to real analysis, the text gives special attention to metric spaces and topology to familiarize students with the level of abstraction and mathematical rigor needed for graduate study in real analysis. - [From Arithmetic to Zeta-Functions: Number Theory in Memory of Wolfgang Schwarz](https://online.neatra.in/product/from-arithmetic-to-zeta-functions-number-theory-in-memory-of-wolfgang-schwarz/): This book collects more than thirty contributions in memory of Wolfgang Schwarz, most of which were presented at the seventh International Conference on Elementary and Analytic Number Theory (ELAZ), held July 2014 in Hildesheim, Germany. Ranging from the theory of arithmetical functions to diophantine problems, to analytic aspects of zeta-functions, the various research and survey articles cover the broad interests of the well-known number theorist and cherished colleague Wolfgang Schwarz (1934-2013), who contributed over one hundred articles on number theory, its history and related fields. - [Freedom in Mathematics](https://online.neatra.in/product/freedom-in-mathematics/): This book challenges the views put forward by Pierre Cartier, one of the anchors of the famous Bourbaki group, and Cédric Villani, one of the most brilliant mathematicians of his generation, who received the Fields Medal in 2010. - [Free Probability and Random Matrices](https://online.neatra.in/product/free-probability-and-random-matrices/): Covers a variety of different facets of free probability, giving a flavor of the breadth of the subject Features exercises scattered throughout the text Showcases basic ideas and results in order to focus on their relation Includes supplementary material: sn.pub/extras - [Framelets and Wavelets](https://online.neatra.in/product/framelets-and-wavelets/): Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory. As such, it can be used as either a textbook or reference guide. - [Fractional Stochastic Differential Equations](https://online.neatra.in/product/fractional-stochastic-differential-equations/): This book provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels. The book presents the dynamic of Covid-19 spread behaviour worldwide. - [Fractional Equations and Models](https://online.neatra.in/product/fractional-equations-and-models/): Fractional equations and models play an essential part in the description of anomalous dynamics in complex systems. Recent developments in the modeling of various physical, chemical and biological systems have clearly shown that fractional calculus is not just an exotic mathematical theory, as it might have once seemed. - [Fractional Differential Equations: An Approach via Fractional Derivatives](https://online.neatra.in/product/fractional-differential-equations-an-approach-via-fractional-derivatives/): The mathematical models are motivated by practical applications Contains a complete mathematical theory of fractional differential equations Suitable as a postgraduate-level textbook in applied and computational mathematics Includes an up-to-date extensive list of references Provides many examples and exercises - [Fractional and Multivariable Calculus](https://online.neatra.in/product/fractional-and-multivariable-calculus/): This textbook presents a rigorous approach to multivariable calculus in the context of model building and optimization problems. This comprehensive overview is based on lectures given at five SERC Schools from 2008 to 2012 and covers a broad range of topics that will enable readers to understand and create deterministic and nondeterministic models. - [Fractal Zeta Functions and Fractal Drums](https://online.neatra.in/product/fractal-zeta-functions-and-fractal-drums/): This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums. - [Fourier Series, Fourier Transform and Their Applications to Mathematical Physics](https://online.neatra.in/product/fourier-series-fourier-transform-and-their-applications-to-mathematical-physics/): Each chapter is self-contained and can be read independently Content grew from a series of half-semester courses given at University of Oulu Contains material only previously published in scientific journals Useful to both students and researchers who have applications in mathematical physics and engineering sciences Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material - [Fourier Analysis on Number Fields](https://online.neatra.in/product/fourier-analysis-on-number-fields/): This book grew out of notes from several courses that the first author has taught over the past nine years at the California Institute of Technology, and earlier at the Johns Hopkins University, Cornell University, the University of Chicago, and the University of Crete. Our general aim is to provide a modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasizing harmonic analysis on topological groups. - [Fourier Analysis and Its Applications](https://online.neatra.in/product/fourier-analysis-and-its-applications/): Includes supplementary material: sn.pub/extras - [Foundations of the Theory of Parthood: A Study of Mereology](https://online.neatra.in/product/foundations-of-the-theory-of-parthood-a-study-of-mereology/): This is the first book to systematically study the weak systems of mereology. In its chapters, the author critically analyzes and explains core topics related to mereology, such as parthood without antisymmetry, non-existence of the zero element, and Le?niewski's notion of class and set. - [Foundations of Symmetric Spaces of Measurable Functions: Lorentz, Marcinkiewicz and Orlicz Spaces](https://online.neatra.in/product/foundations-of-symmetric-spaces-of-measurable-functions-lorentz-marcinkiewicz-and-orlicz-spaces/): Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook. A comprehensive overview of the Lorentz, Marcinkiewicz and Orlicz spaces is presented based on concepts and results of symmetric spaces. - [Foundations of Real and Abstract Analysis](https://online.neatra.in/product/foundations-of-real-and-abstract-analysis/): A wide range of material * Clear and concise format * Unique collection of nearly 750 exercises * Pointers to new branches of the subject - [Foundations of Optimization](https://online.neatra.in/product/foundations-of-optimization/): Covers the fundamental principles of optimization in finite dimensions. Develops the necessary background material in differential calculus. All the standard topics of mathematical programming covered. Over two hundred of well–chosen problems included as well as many worked–out examples. Includes supplementary material: sn.pub/extras - [Foundations of Modern Probability](https://online.neatra.in/product/foundations-of-modern-probability/): This new, thoroughly revised and expanded 3rd edition of a classic gives a comprehensive coverage of modern probability in a single book. It is a truly modern text, providing not only classical results but also material that will be important for future research. - [Foundations of Hyperbolic Manifolds](https://online.neatra.in/product/foundations-of-hyperbolic-manifolds/): Expands on the second edition by including over 40 new lemmas, theorems, and corollaries, as well as a new section dedicated to arithmetic hyperbolic groups Offers a highly readable and self-contained exposition of the theoretical foundations of hyperbolic manifolds Provides readers with over 70 new exercises and features figures in color throughout Request lecturer material: sn.pub/lecturer-material - [Foundations of Differentiable Manifolds and Lie Groups](https://online.neatra.in/product/foundations-of-differentiable-manifolds-and-lie-groups/): Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. - [Formal Matrices](https://online.neatra.in/product/formal-matrices/): This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory. - [Fluid-structure Interactions: Models, Analysis and Finite Elements](https://online.neatra.in/product/fluid-structure-interactions-models-analysis-and-finite-elements/): Discusses basic modeling aspects, discretization details and efficient implementation Offers an overview of robust monolithic approaches, including modern techniques for large deformation and contact Provides examples, including optimization and goal-oriented error estimation - [Fixed Point Theory in Metric Type Spaces](https://online.neatra.in/product/fixed-point-theory-in-metric-type-spaces/): This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations. Each chapter is accompanied by basic definitions, mathematical preliminaries and proof of the main results. - [Fixed Point Theory in Metric Spaces: Recent Advances and Applications](https://online.neatra.in/product/fixed-point-theory-in-metric-spaces-recent-advances-and-applications/): This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations. Each chapter is accompanied by basic definitions, mathematical preliminaries and proof of the main results. - [Fixed Point Theory and Fractional Calculus: Recent Advances and Applications](https://online.neatra.in/product/fixed-point-theory-and-fractional-calculus-recent-advances-and-applications/): This book collects chapters on fixed-point theory and fractional calculus and their applications in science and engineering. It discusses state-of-the-art developments in these two areas through original new contributions from scientists across the world. - [First-order and Stochastic Optimization Methods for Machine Learning](https://online.neatra.in/product/first-order-and-stochastic-optimization-methods-for-machine-learning/): This book covers not only foundational materials but also the most recent progresses made during the past few years on the area of machine learning algorithms. - [First Steps in Differential Geometry: Riemannian, Contact, Symplectic](https://online.neatra.in/product/first-steps-in-differential-geometry-riemannian-contact-symplectic/): Introduces symplectic and contact geometry alongside Riemannian geometry, unlike other texts in differential geometry Develops tools from linear algebra and advanced calculus, including differential forms and tensors, that are necessary in differential geometry Introduces the reader to higher mathematics, including proofs of most of the main statements and results Aimed as a text for undergraduate students who have finished two years of standard mathematics curriculum, including courses in calculus, linear algebra, and differential equations Includes supplementary material: sn.pub/extras - [Finite Reflection Groups](https://online.neatra.in/product/finite-reflection-groups/): Chapter 1 introduces some of the terminology and notation used later and indicates prerequisites. Chapter 2 gives a reasonably thorough account of all finite subgroups of the orthogonal groups in two and three dimensions. - [Finite Elements III: First-Order and Time-Dependent PDEs](https://online.neatra.in/product/finite-elements-iii-first-order-and-time-dependent-pdes/): Short chapters allow for development of ideas in a classroom setting Many exercises and hints included Well adapted for graduate flipped classes Part of a three volume work - [Finite Elements II: Galerkin Approximation, Elliptic and Mixed PDEs](https://online.neatra.in/product/finite-elements-ii-galerkin-approximation-elliptic-and-mixed-pdes/): Structured to allow for concise development of ideas in a classroom setting Includes chapter-level exercises with solutions available online Provides proofs and examples throughout each chapter - [Finite Elements I: Approximation and Interpolation](https://online.neatra.in/product/finite-elements-i-approximation-and-interpolation/): Structured to allow for concise development of ideas in a classroom setting Includes chapter-level exercises with solutions available online Provides proofs and examples throughout each chapter Aimed at a graduate study level with applications to engineering, researchers, and graduate-flipped classes - [Finite Difference Computing with PDEs: A Modern Software Approach](https://online.neatra.in/product/finite-difference-computing-with-pdes-a-modern-software-approach/): An easy-to-read text explaining the ideas behind finite Uses fundamental PDEs to illustrate the path from algorithm to well-designed, complete computer code Explains and demonstrates the skill of verifying computer code on the basis of numerous examples Elaborates on artifacts in simulation results, further enhancing readers’ understanding Includes supplementary material: sn.pub/extras - [Finite Blaschke Products and Their Connections](https://online.neatra.in/product/finite-blaschke-products-and-their-connections/): This monograph offers an introduction to finite Blaschke products and their connections to complex analysis, linear algebra, operator theory, matrix analysis, and other fields. - [Financial Modeling: A Backward Stochastic Differential Equations Perspective](https://online.neatra.in/product/financial-modeling-a-backward-stochastic-differential-equations-perspective/): Provides a unique, BSDE-based perspective on financial modeling and computational finance areas as for example on the pricing and hedging theory, across all asset classes A unified presentation of all kinds of numerical schemes: semi-explicit, deterministic (PDEs), simulation (Monte Carlo and American Monte Carlo) Illustrates both the theoretical and practical interest of BSDEs for financial applications? Request lecturer material: sn.pub/lecturer-material - [Financial Modeling, Actuarial Valuation and Solvency in Insurance](https://online.neatra.in/product/financial-modeling-actuarial-valuation-and-solvency-in-insurance/): Addressed to practitioners in the financial and actuarial industry as well as more academic researchers Takes into account all current solvency developments of the financial industry Core text for enterprise risk management in Chartered Enterprise Risk Analyst (CERA) training and qualification ? Includes supplementary material: sn.pub/extras - [Financial Markets Theory](https://online.neatra.in/product/financial-markets-theory/): This work, now in a thoroughly revised second edition, presents the economic foundations of financial markets theory from a mathematically rigorous standpoint and offers a self-contained critical discussion based on empirical results. It is the only textbook on the subject to include more than two hundred exercises, with detailed solutions to selected exercises. - [Finance with Monte Carlo](https://online.neatra.in/product/finance-with-monte-carlo/): Students will learn by doing| implementing concepts of each chapter into code and experimenting with the outcome Exploits the greatest virtue of the Monte Carlo method – providing results for exotic probability models Students will learn a lot about options in addition to usage of mathematical models Focus on Monte Carlo methods allows for students to travel a short road from theory to practical applications Presents "standard" models involving Random Walks with GBM but includes other distributions as well Includes supplementary material: sn.pub/extras - [Field Theory](https://online.neatra.in/product/field-theory/) - [Field and Galois Theory](https://online.neatra.in/product/field-and-galois-theory/): In the fall of 1990, I taught Math 581 at New Mexico State University for the first time. This course on field theory is the first semester of the year-long graduate algebra course here at NMSU. - [Fibre Bundles](https://online.neatra.in/product/fibre-bundles/): Fibre bundles play an important role in just about every aspect of modern geometry and topology. Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical education for students in geometry and mathematical physics. - [Fermat's Last Theorem: A Genetic Introduction to Algebraic Number Theory](https://online.neatra.in/product/fermats-last-theorem-a-genetic-introduction-to-algebraic-number-theory/): This book is an introduction to algebraic number theory via the famous problem of "Fermat's Last Theorem." - [Feferman on Foundations: Logic, Mathematics, Philosophy](https://online.neatra.in/product/feferman-on-foundations-logic-mathematics-philosophy/): This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as specific methodological and philosophical issues that tie into mathematics. - [Fast Radial Basis Functions for Engineering Applications](https://online.neatra.in/product/fast-radial-basis-functions-for-engineering-applications/): This book presents the first “How To” guide to the use of radial basis functions (RBF). It provides a clear vision of their potential, an overview of ready-for-use computational tools and precise guidelines to implement new engineering applications of RBF. - [Extrinsic Geometry of Foliations](https://online.neatra.in/product/extrinsic-geometry-of-foliations/): Problems of prescribing the extrinsic geometry and curvature of foliations are central to the book Presents the state of the art in geometric and analytical theory of foliations Designed for newcomers to the field as well as experienced geometers working in Riemannian geometry, foliation theory, differential topology, and a wide range of researchers in differential equations and their applications - [Extrapolation and Rational Approximation: The Works of the Main Contributors](https://online.neatra.in/product/extrapolation-and-rational-approximation-the-works-of-the-main-contributors/): This book paints a fresco of the field of extrapolation and rational approximation over the last several centuries to the present through the works of their primary contributors. It can serve as an introduction to the topics covered, including extrapolation methods, Padé approximation, orthogonal polynomials, continued fractions, Lanczos-type methods etc.; it also provides in depth discussion of the many links between these subjects. - [Exploring the Riemann Zeta Function: 190 years from Riemann's Birth](https://online.neatra.in/product/exploring-the-riemann-zeta-function-190-years-from-riemanns-birth/): Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects. - [Explorations in Complex Functions](https://online.neatra.in/product/explorations-in-complex-functions/): This textbook explores a selection of topics in complex analysis. From core material in the mainstream of complex analysis itself, to tools that are widely used in other areas of mathematics, this versatile compilation offers a selection of many different paths. - [Exercises in Computational Mathematics with MATLAB](https://online.neatra.in/product/exercises-in-computational-mathematics-with-matlab/): Designed to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises.Most chapters open with a review followed by theoretical and programming exercises, with detailed solutions provided for all problems including programs. - [Exercises in Analysis: Part 2: Nonlinear Analysis](https://online.neatra.in/product/exercises-in-analysis-part-2-nonlinear-analysis/): Contains exercises ranging from easy to difficult, with level of difficulty designated Features an encyclopedic volume of exercises in five core topics of mathematical analysis Prepares students well for qualifying exams and tests their depth of understanding of the material Includes supplementary material: sn.pub/extras - [Excursions in Multiplicative Number Theory](https://online.neatra.in/product/excursions-in-multiplicative-number-theory/): This textbook offers a unique exploration of analytic number theory that is focused on explicit and realistic numerical bounds. By giving precise proofs in simplified settings, the author strategically builds practical tools and insights for exploring the behavior of arithmetical functions. - [Excursions in Harmonic Analysis, Volume 6: In Honor of John Benedetto’s 80th Birthday](https://online.neatra.in/product/excursions-in-harmonic-analysis-volume-6-in-honor-of-john-benedettos-80th-birthday/): Celebrates John J. Benedetto’s lasting impact on harmonic analysis and its applications Covers a wide range of topics related to this field, illustrating the breadth of influence that Benedetto has had Serves as a valuable resource and reference on harmonic analysis with chapters written by prominent and leading scholars in the area - [Examples and Problems in Advanced Calculus: Real-Valued Functions](https://online.neatra.in/product/examples-and-problems-in-advanced-calculus-real-valued-functions/): This book includes over 500 most challenging exercises and problems in calculus. Topical problems and exercises are discussed on set theory, numbers, functions, limits and continuity, derivative, integral calculus, Rolle’s theorem, mean value theorem, optimization problems, sequences and series. - [Exact and Heuristic Methods in Combinatorial Optimization: A Study on the Linear Ordering and the Maximum Diversity Problem](https://online.neatra.in/product/exact-and-heuristic-methods-in-combinatorial-optimization-a-study-on-the-linear-ordering-and-the-maximum-diversity-problem/): In the last decades, algorithmic advances as well as hardware and software improvements have provided an excellent environment to create and develop solving methods to hard optimization problems. Modern exact and heuristic techniques are dramatically enhancing our ability to solve significant practical problems. - [Evolutionary Equations: Picard's Theorem for Partial Differential Equations, and Applications](https://online.neatra.in/product/evolutionary-equations-picards-theorem-for-partial-differential-equations-and-applications/): This book is open access, which means that you have free and unlimited access Provides self-contained and comprehensive round up of the theory of evolutionary equations The matter is confined to elementary Hilbert space theory and complex analysis Easy access to challenging theory of time-dependent partial differential equations - [Eulerian Numbers](https://online.neatra.in/product/eulerian-numbers/): This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometric combinatorics. The book first studies Eulerian numbers from a purely combinatorial point of view, then embarks on a tour of how these numbers arise in the study of hyperplane arrangements, polytopes, and simplicial complexes. - [Euclidean Geometry and its Subgeometries](https://online.neatra.in/product/euclidean-geometry-and-its-subgeometries/): In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. - [Euclidean Distance Matrices and Their Applications in Rigidity Theory](https://online.neatra.in/product/euclidean-distance-matrices-and-their-applications-in-rigidity-theory/): This book offers a comprehensive and accessible exposition of Euclidean Distance Matrices (EDMs) and rigidity theory of bar-and-joint frameworks. It is based on the one-to-one correspondence between EDMs and projected Gram matrices. - [Euclidean Distance Geometry: An Introduction](https://online.neatra.in/product/euclidean-distance-geometry-an-introduction/): This textbook, the first of its kind, presents the fundamentals of distance geometry: theory, useful methodologies for obtaining solutions, and real world applications. - [Estimation and Control of Dynamical Systems](https://online.neatra.in/product/estimation-and-control-of-dynamical-systems/): Provides a self-contained presentation that facilitates learning Contains a chapter devoted to mathematical finance Covers classical topics and more advanced research topics - [Essentials of Integration Theory for Analysis](https://online.neatra.in/product/essentials-of-integration-theory-for-analysis/): Solutions manual is available to instructors who adopt the textbook for their course Second edition revised with new topics, some reworked text, new exercises Suitable for a one-semester graduate course in integration theory as well as for independent study Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material - [Essays on Pareto Optimality in Cooperative Games](https://online.neatra.in/product/essays-on-pareto-optimality-in-cooperative-games/): The book focuses on Pareto optimality in cooperative games. Most of the existing works focus on the Pareto optimality of deterministic continuous-time systems or for the regular convex LQ case. - [Ernst Zermelo: An Approach to His Life and Work](https://online.neatra.in/product/ernst-zermelo-an-approach-to-his-life-and-work/): This biography sheds light on all facets of the life and the achievements of Ernst Zermelo (1871-1953). Zermelo is best-known for the statement of the axiom of choice and his axiomatization of set theory. However, he also worked in applied mathematics and mathematical physics. - [Ergodic Theory: with a view towards Number Theory](https://online.neatra.in/product/ergodic-theory-with-a-view-towards-number-theory/): With a rigorous development of basic ergodic theory and homogeneous dynamics, no background in Ergodic theory or Lie theory is assumed Offers both complete and motivated treatments of Weyl and Szemeredi theorems Provides a number of exercises and hints to problems Includes supplementary material: sn.pub/extras - [Ergodic Theory: Independence and Dichotomies](https://online.neatra.in/product/ergodic-theory-independence-and-dichotomies/): Provides an introduction to the ergodic theory and topological dynamics of actions of general countable groups Covers several topics of current research interest, including Popa's cocycle superrigidity, sofic entropy, and algebraic actions Contains a consolidated account of amenability and its ramifications for dynamics, including a systematic exposition of the entropy theory for actions of amenable groups Includes supplementary material: sn.pub/extras - [Ergodic Dynamics: From Basic Theory to Applications](https://online.neatra.in/product/ergodic-dynamics-from-basic-theory-to-applications/): Offers an accessible introduction to the dynamics of ergodic systems Unifies topics across ergodic theory, topological dynamics, complex dynamics, and dynamical systems Explores real-world applications from financial fraud to virus dynamics Illustrates theory through engaging examples, applications, and color graphics - [Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees](https://online.neatra.in/product/equidistribution-and-counting-under-equilibrium-states-in-negative-curvature-and-trees/): This book provides a complete exposition of equidistribution and counting problems weighted by a potential function of common perpendicular geodesics in negatively curved manifolds and simplicial trees. Avoiding any compactness assumptions, the authors extend the theory of Patterson-Sullivan, Bowen-Margulis and Oh-Shah (skinning) measures to CAT(-1) spaces with potentials. - [Equations of Motion for Incompressible Viscous Fluids: With Mixed Boundary Conditions](https://online.neatra.in/product/equations-of-motion-for-incompressible-viscous-fluids-with-mixed-boundary-conditions/): Presents a variety of boundary conditions for fluids while taking into special account the properties of boundaries of vector fields on domains Highlights how fluid equations at the cutting edge of research were developed and how certain boundary conditions apply to various real-world problems Adopts a self-contained approach that covers introductory topics as well as more advanced material, such as friction conditions and a thorough outline of the Navier-Stokes equations - [Encyclopedia of Distances](https://online.neatra.in/product/encyclopedia-of-distances/): This 4-th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items suggested by experts and readers, as well a general streamlining of content and the addition of essential new topics. Though the structure remains unchanged, the new edition also explores recent advances in the use of distances and metrics for e.g. generalized distances, probability theory, graph theory, coding theory, data analysis. - [Emmy Noether – Mathematician Extraordinaire](https://online.neatra.in/product/emmy-noether-mathematician-extraordinaire/): Although she was famous as the "mother of modern algebra," Emmy Noether’s life and work have never been the subject of an authoritative scientific biography. Emmy Noether – Mathematician Extraordinaire represents the most comprehensive study of this singularly important mathematician to date. - [Elliptic Functions](https://online.neatra.in/product/elliptic-functions/): Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. - [Elliptic Differential Equations](https://online.neatra.in/product/elliptic-differential-equations/): This book simultaneously presents the theory and the numerical treatment of elliptic boundary value problems, since an understanding of the theory is necessary for the numerical analysis of the discretisation. It first discusses the Laplace equation and its finite difference discretisation before addressing the general linear differential equation of second order. - [Elliptic Curves](https://online.neatra.in/product/elliptic-curves/): There are three new appendices, one by Stefan Theisen on the role of Calabi– Yau manifolds in string theory and one by Otto Forster on the use of elliptic curves in computing theory and coding theory. In the third appendix we discuss the role of elliptic curves in homotopy theory. - [Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II](https://online.neatra.in/product/elliptic-carleman-estimates-and-applications-to-stabilization-and-controllability-volume-ii/): This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. - [Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I](https://online.neatra.in/product/elliptic-carleman-estimates-and-applications-to-stabilization-and-controllability-volume-i/): This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation. - [Elements of Stochastic Calculus and Analysis](https://online.neatra.in/product/elements-of-stochastic-calculus-and-analysis/): This book gives a somewhat unconventional introduction to stochastic analysis. Although most of the material coveredhere has appeared in other places, this book attempts to explain the core ideas on which that material is based. - [Elements of Neurogeometry: Functional Architectures of Vision](https://online.neatra.in/product/elements-of-neurogeometry-functional-architectures-of-vision/): Illustrates the fascinating interactions between mathematics and neuroscience Describes geometrical models of the functional architecture of the visual cortex Presents a variety of examples Includes supplementary material: sn.pub/extras - [Elements of Mathematics: A Problem-Centered Approach to History and Foundations](https://online.neatra.in/product/elements-of-mathematics-a-problem-centered-approach-to-history-and-foundations/): Develops fundamental concepts in algebra, geometry, and number theory from the foundations of set theory Engages readers through challenging examples and problems inspired by mathematical contests Illuminates the historical context of key mathematical developments - [Elements of Homotopy Theory](https://online.neatra.in/product/elements-of-homotopy-theory/): As the title suggests, this book is concerned with the elementary portion of the subject of homotopy theory. It is assumed that the reader is familiar with the fundamental group and with singular homology theory, including the Universal Coefficient and Kiinneth Theorems. - [Elementary Methods of Graph Ramsey Theory](https://online.neatra.in/product/elementary-methods-of-graph-ramsey-theory/): This book is intended to provide graduate students and researchers in graph theory with an overview of the elementary methods of graph Ramsey theory. It is especially targeted towards graduate students in extremal graph theory, graph Ramsey theory, and related fields, as the included contents allow the text to be used in seminars. - [Elementary Methods in Number Theory](https://online.neatra.in/product/elementary-methods-in-number-theory/): Elementary Methods in Number Theory begins with "a first course in number theory" for students with no previous knowledge of the subject. The main topics are divisibility, prime numbers, and congruences. - [Elementary Functional Analysis](https://online.neatra.in/product/elementary-functional-analysis/): Large number of high quality exercises Concise and gentle approach with a unique set of topics Historical details are spread throughout the book This book has been thoroughly class-tested - [Economic and Financial Modelling with EViews: A Guide for Students and Professionals](https://online.neatra.in/product/economic-and-financial-modelling-with-eviews-a-guide-for-students-and-professionals/): This practical guide in Eviews is aimed at practitioners and students in business, economics, econometrics, and finance. It uses a step-by-step approach to equip readers with a toolkit that enables them to make the most of this widely used econometric analysis software. - [Dynamics with Chaos and Fractals](https://online.neatra.in/product/dynamics-with-chaos-and-fractals/): The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. - [Dynamics of Mathematical Models in Biology: Bringing Mathematics to Life](https://online.neatra.in/product/dynamics-of-mathematical-models-in-biology-bringing-mathematics-to-life/): This volume focuses on contributions from both the mathematics and life science community surrounding the concepts of time and dynamicity of nature, two significant elements which are often overlooked in modeling process to avoid exponential computations. The book is divided into three distinct parts: dynamics of genomes and genetic variation, dynamics of motifs, and dynamics of biological networks. - [Dynamics of Disasters: Impact, Risk, Resilience, and Solutions](https://online.neatra.in/product/dynamics-of-disasters-impact-risk-resilience-and-solutions/): Overviews the tactical points involved in disaster relief Outlines hurdles from mitigation and preparedness to response and recovery Uses mathematical models to describe natural and man-made disasters - [Innovative Integrals and Their Applications I](https://online.neatra.in/product/innovative-integrals-and-their-applications-i/): This book develops integral identities, mostly involving multidimensional functions and infinite limits of integration, whose evaluations are intractable by common means. It exposes a methodology based on the multivariate power substitution and its variants, assisted by the software tool Mathematica. - [Information Theory: Poincaré Seminar 2018](https://online.neatra.in/product/information-theory-poincare-seminar-2018/): This eighteenth volume in the Poincaré Seminar Series provides a thorough description of Information Theory and some of its most active areas, in particular, its relation to thermodynamics at the nanoscale and the Maxwell Demon, and the emergence of quantum computation and of its counterpart, quantum verification. - [Information Retrieval and Natural Language Processing](https://online.neatra.in/product/information-retrieval-and-natural-language-processing/): This book gives a comprehensive view of graph theory in informational retrieval (IR) and natural language processing(NLP). This book provides number of graph techniques for IR and NLP applications with examples. - [Information Geometry and Population Genetics: The Mathematical Structure of the Wright-Fisher Model](https://online.neatra.in/product/information-geometry-and-population-genetics-the-mathematical-structure-of-the-wright-fisher-model/): Provides a new systematic and geometric approach to the Wright--Fisher model of population genetics Introduces new tools from information geometry and statistical mechanics that lead to a deeper understanding Includes precise formulas and a detailed analysis of the boundary behavior (loss of allele events) Provides a solid and broad working basis for graduate students and researchers interested in this field. - [Information Geometry and Its Applications](https://online.neatra.in/product/information-geometry-and-its-applications/): Introduces information geometry intuitively to readers without knowledge of differential geometry Includes hot topics of applications to machine learning, signal processing, neural networks, and optimization Applies information geometry to statistical inference and time-series analysis Includes supplementary material: sn.pub/extras - [Information Geometry](https://online.neatra.in/product/information-geometry/): The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on measure theory, Riemannian geometry and Banach space theory. - [Information and Communication Technologies for Agriculture—Theme IV: Actions](https://online.neatra.in/product/information-and-communication-technologies-for-agriculture-theme-iv-actions/): This volume is the last (IV) of four under the main themes of Digitizing Agriculture and Information and Communication Technologies (ICT). The four volumes cover rapidly developing processes including Sensors (I), Data (II), Decision (III), and Actions (IV). - [Information and Communication Technologies for Agriculture—Theme III: Decision](https://online.neatra.in/product/information-and-communication-technologies-for-agriculture-theme-iii-decision/): This volume is the third (III) of four under the main themes of Digitizing Agriculture and Information and Communication Technologies (ICT). The four volumes cover rapidly developing processes including Sensors (I), Data (II), Decision (III), and Actions (IV). - [Information and Communication Technologies for Agriculture—Theme II: Data](https://online.neatra.in/product/information-and-communication-technologies-for-agriculture-theme-ii-data/): This volume is the second (II) of four under the main themes of Digitizing Agriculture and Information and Communication Technologies (ICT). The four volumes cover rapidly developing processes including Sensors (I), Data (II), Decision (III), and Actions (IV). - [Information and Communication Technologies for Agriculture—Theme I: Sensors](https://online.neatra.in/product/information-and-communication-technologies-for-agriculture-theme-i-sensors/): This volume is the first (I) of four under the main themes of Digitizing Agriculture and Information and Communication Technologies (ICT). The four volumes cover rapidly developing processes including Sensors (I), Data (II), Decision (III), and Actions (IV). - [Infinite Matrices and Their Recent Applications](https://online.neatra.in/product/infinite-matrices-and-their-recent-applications/): This monograph covers the theory of finite and infinite matrices over the fields of real numbers, complex numbers and over quaternions. Emphasizing topics such as sections or truncations and their relationship to the linear operator theory on certain specific separable and sequence spaces, the authors explore techniques like conformal mapping, iterations and truncations that are used to derive precise estimates in some cases and explicit lower and upper bounds for solutions in the other cases. - [Infectious Diseases and Our Planet](https://online.neatra.in/product/infectious-diseases-and-our-planet/): Contains nine recent contributions, not previously published Presents mathematical modelling to early-graduate level Includes a survey of topics related to diseases of humans, plants, and animals Demonstrates applications to infectious disease control with discussion of current issues in epidemiology - [Inequivalent Representations of Canonical Commutation and Anti-Commutation Relations](https://online.neatra.in/product/inequivalent-representations-of-canonical-commutation-and-anti-commutation-relations/): Canonical commutation relations (CCR) and canonical anti-commutation relations (CAR) are basic principles in quantum physics including both quantum mechanics with finite degrees of freedom and quantum field theory. From a structural viewpoint, quantum physics can be primarily understood as Hilbert space representations of CCR or CAR. - [Index theory in nonlinear analysis](https://online.neatra.in/product/index-theory-in-nonlinear-analysis/): This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems. It focuses on two index theories: L-index theory (index theory for Lagrangian boundary conditions) and P-index theory (index theory for P-boundary conditions). - [Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations: A Volume Dedicated to Heinz Langer](https://online.neatra.in/product/indefinite-inner-product-spaces-schur-analysis-and-differential-equations-a-volume-dedicated-to-heinz-langer/): This volume, which is dedicated to Heinz Langer, includes biographical material and carefully selected papers. Heinz Langer has made fundamental contributions to operator theory. - [In the Tradition of Thurston: Geometry and Topology](https://online.neatra.in/product/in-the-tradition-of-thurston-geometry-and-topology/): This book consists of 16 surveys on Thurston's work and its later development. The authors are mathematicians who were strongly influenced by Thurston's publications and ideas. - [In the Tradition of Thurston II: Geometry and Groups](https://online.neatra.in/product/in-the-tradition-of-thurston-ii-geometry-and-groups/): The purpose of this volume and of the other volumes in the same series is to provide a collection of surveys that allows the reader to learn the important aspects of William Thurston’s heritage. Thurston’s ideas have altered the course of twentieth century mathematics, and they continue to have a significant influence on succeeding generations of mathematicians. - [In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius](https://online.neatra.in/product/in-and-out-of-equilibrium-3-celebrating-vladas-sidoravicius/): This is a volume in memory of Vladas Sidoravicius who passed away in 2019. Vladas has edited two volumes appeared in this series ('In and Out of Equilibrium') and is now honored by friends and colleagues with research papers reflecting Vladas' interests and contributions to probability theory. - [Implicit Functions and Solution Mappings](https://online.neatra.in/product/implicit-functions-and-solution-mappings/): The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. - [Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory](https://online.neatra.in/product/imperfect-bifurcation-in-structures-and-materials-engineering-use-of-group-theoretic-bifurcation-theory/): Exercises at the ends of chapters or sections Solutions to selected exercises in the book Detailed Illustrations - [Hyperbolicity of Projective Hypersurfaces](https://online.neatra.in/product/hyperbolicity-of-projective-hypersurfaces/): This book presents recent advances on Kobayashi hyperbolicity in complex geometry, especially in connection with projective hypersurfaces. This is a very active field, not least because of the fascinating relations with complex algebraic and arithmetic geometry. - [Hyperbolic Conservation Laws in Continuum Physics](https://online.neatra.in/product/hyperbolic-conservation-laws-in-continuum-physics/): This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the development of the mathematical theory while also serving as the principal source of applications. - [How Many Zeroes?: Counting Solutions of Systems of Polynomials via Toric Geometry at Infinity](https://online.neatra.in/product/how-many-zeroes-counting-solutions-of-systems-of-polynomials-via-toric-geometry-at-infinity/): First textbook containing complete proofs of various weighted versions of Bézout's theorem, Bernstein's theorem and its extension to the affine space Gives a new proof of, and generalizes, Kushnirenko's results on Milnor number of non-degenerate singularities Develops necessary algebraic geometry and convex geometry prerequisites quickly with the help of numerous exercises - [How Far It Is to Tomorrow...: Reflections of an Eminent Russian Applied Mathematician 1917-2000](https://online.neatra.in/product/how-far-it-is-to-tomorrow-reflections-of-an-eminent-russian-applied-mathematician-1917-2000/): This is a translated autobiography of applied mathematician N. N. Moiseev, providing an insider’s view of the history of the Soviet Union from its founding in 1917 to its collapse in 1991, as well as a little of the aftermath. - [Homotopical Topology](https://online.neatra.in/product/homotopical-topology/): Updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand Presents material concisely but rigorously Illuminates the subject matter with a range of technical and artistic illustrations, along with a wealth of examples and computations meant to provide a treatment of the topic that is both deep and broad Contains an entirely new chapter on K-theory and the Riemann-Roch theorem Includes supplementary material: sn.pub/extras - [Homology Theory: An Introduction to Algebraic Topology](https://online.neatra.in/product/homology-theory-an-introduction-to-algebraic-topology/): The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory. - [Homological Methods, Representation Theory, and Cluster Algebras](https://online.neatra.in/product/homological-methods-representation-theory-and-cluster-algebras/): Underscores cluster algebras—one of the most important highlights of today's mathematical landscape Addressed to graduate students, young researchers, and research mathematicians Assumes minimal previous knowledge from readers while still taking them deeply into theory - [Holomorphic Functions and Integral Representations in Several Complex Variables](https://online.neatra.in/product/holomorphic-functions-and-integral-representations-in-several-complex-variables/): The subject of this book is Complex Analysis in Several Variables. This text begins at an elementary level with standard local results, followed by a thorough discussion of the various fundamental concepts of "complex convexity" related to the remarkable extension properties of holomorphic functions in more than one variable. - [Holomorphic Foliations with Singularities](https://online.neatra.in/product/holomorphic-foliations-with-singularities/): This concise textbook gathers together key concepts and modern results on the theory of holomorphic foliations with singularities, offering a compelling vision on how the notion of foliation, usually linked to real functions and manifolds, can have an important role in the holomorphic world, as shown by modern results from mathematicians as H. Cartan, K. Oka, T. Nishino, and M. Suzuki. - [High-Dimensional Optimization and Probability: With a View Towards Data Science](https://online.neatra.in/product/high-dimensional-optimization-and-probability-with-a-view-towards-data-science/): This volume presents extensive research devoted to a broad spectrum of mathematics with emphasis on interdisciplinary aspects of Optimization and Probability. Chapters also emphasize applications to Data Science, a timely field with a high impact in our modern society. - [Hierarchical Matrices: Algorithms and Analysis](https://online.neatra.in/product/hierarchical-matrices-algorithms-and-analysis/): This self-contained monograph presents matrix algorithms and their analysis. The new technique enables not only the solution of linear systems but also the approximation of matrix functions, e.g., the matrix exponential. - [Hidden Harmony—Geometric Fantasies: The Rise of Complex Function Theory](https://online.neatra.in/product/hidden-harmony-geometric-fantasies-the-rise-of-complex-function-theory/): Presents the first complete account of the development of the work and ideas of Cauchy, Riemann, and Weierstrass in complex function theory Analyzes the history of elliptic function theory and its implications for the development of complex function theory as the first full-length treatment of the interactions between these two fields Examines the interaction of complex function theory with other fields, including number theory, mechanics, and differential equations? Includes supplementary material: sn.pub/extras - [Heyting Algebras: Duality Theory](https://online.neatra.in/product/heyting-algebras-duality-theory/): This book presents an English translation of a classic Russian text on duality theory for Heyting algebras. Written by Georgian mathematician Leo Esakia, the text proved popular among Russian-speaking logicians. - [Hermitian Analysis](https://online.neatra.in/product/hermitian-analysis/): This textbook provides a coherent, integrated look at various topics from undergraduate analysis. It begins with Fourier series, continues with Hilbert spaces, discusses the Fourier transform on the real line, and then turns to the heart of the book, geometric considerations. - [Hasse-Schmidt Derivations on Grassmann Algebras: With Applications to Vertex Operators](https://online.neatra.in/product/hasse-schmidt-derivations-on-grassmann-algebras-with-applications-to-vertex-operators/): Offers a comprehensive approach to advanced topics such as linear ODEs and generalized Wronskians, Schubert calculus for ordinary Grassmannians and vertex operators arising from the representation theory of infinite-dimensional Lie algebras Examines topics within a common interdisciplinary framework provided by the notions of linear recurrent sequences and Hasse-Schmidt derivations on a Grassmann algebra Provides a self-contained presentation of pioneering research material starting from elementary observations Includes supplementary material: sn.pub/extras - [Harmonic and Complex Analysis in Several Variables](https://online.neatra.in/product/harmonic-and-complex-analysis-in-several-variables/): Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: complex analysis and harmonic analysis. - [Harmonic and Applied Analysis](https://online.neatra.in/product/harmonic-and-applied-analysis/): Deep connections exist between harmonic and applied analysis and the diverse yet connected topics of machine learning, data analysis, and imaging science. This volume explores these rapidly growing areas and features contributions presented at the second and third editions of the Summer Schools on Applied Harmonic Analysis, held at the University of Genova in 2017 and 2019. - [Harmonic Analysis on the Real Line: A Path in the Theory](https://online.neatra.in/product/harmonic-analysis-on-the-real-line-a-path-in-the-theory/): Offers a path through the theory Includes a list of basic notation Inspires further research on the topic - [Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations](https://online.neatra.in/product/harmonic-analysis-on-symmetric-spaces-higher-rank-spaces-positive-definite-matrix-space-and-generalizations/): This text is an introduction to harmonic analysis on symmetric spaces, focusing on advanced topics such as higher rank spaces, positive definite matrix space and generalizations. It is intended for beginning graduate students in mathematics or researchers in physics or engineering. - [Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions](https://online.neatra.in/product/harmonic-analysis-on-semigroups-theory-of-positive-definite-and-related-functions/): The Fourier transform and the Laplace transform of a positive measure share, together with its moment sequence, a positive definiteness property which under certain regularity assumptions is characteristic for such expressions. - [Harmonic Analysis on Exponential Solvable Lie Groups](https://online.neatra.in/product/harmonic-analysis-on-exponential-solvable-lie-groups/): This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. - [Harmonic Analysis and Applications](https://online.neatra.in/product/harmonic-analysis-and-applications/): Interdisciplinary approach to harmonic analysis Features new open problems Introduces a variety of mathematical methods,theories, and techniques - [Hardy Type Inequalities on Time Scales](https://online.neatra.in/product/hardy-type-inequalities-on-time-scales/): The book is devoted to dynamic inequalities of Hardy type and extensions and generalizations via convexity on a time scale T. - [Handbook on Blockchain](https://online.neatra.in/product/handbook-on-blockchain/): This handbook aims to serve as a one-stop, reliable source of reference, with curations of survey and expository contributions on the state-of-the-art in Blockchain technology. It covers a comprehensive range of topics, providing the technical and non-technical reader with fundamentals, applications, and deep details on a variety of topics. - [Handbook of Mathematical Geodesy: Functional Analytic and Potential Theoretic Methods](https://online.neatra.in/product/handbook-of-mathematical-geodesy-functional-analytic-and-potential-theoretic-methods/): Shows how modern mathematics acts as a key technology in today’s geodesy Bridges “real world” observational as well as satellite techniques and “virtual world” modeling as well as simulation Comprises high-level contributions from worldwide recognized researchers in mathematics and geodesy - [Handbook of Functional Equations](https://online.neatra.in/product/handbook-of-functional-equations/): This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. - [Handbook of Floating-Point Arithmetic](https://online.neatra.in/product/handbook-of-floating-point-arithmetic/): This handbook is a definitive guide to the effective use of modern floating-point arithmetic, which has considerably evolved, from the frequently inconsistent floating-point number systems of early computing to the recent IEEE 754-2008 standard. Most of computational mathematics depends on floating-point numbers, and understanding their various implementations will allow readers to develop programs specifically tailored for the standard’s technical features. - [Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities](https://online.neatra.in/product/hadamard-type-fractional-differential-equations-inclusions-and-inequalities/): This book focuses on the recent development of fractional differential equations, integro-differential equations, and inclusions and inequalities involving the Hadamard derivative and integral. - [Groups and Symmetry: Theory and Applications](https://online.neatra.in/product/groups-and-symmetry-theory-and-applications/): This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. This is the second book of the set of two books on groups theory. - [Group Theory and Computation](https://online.neatra.in/product/group-theory-and-computation/): This book is a blend of recent developments in theoretical and computational aspects of group theory. - [Group Chase and Escape: Fusion of Pursuits-Escapes and Collective Motions](https://online.neatra.in/product/group-chase-and-escape-fusion-of-pursuits-escapes-and-collective-motions/): Includes reviews of representative topics of chases and escapes as well as collective behavior in one book Describes the new research topic of group chase and escape with concrete examples Is written in a readable manner for those from related fields of mathematics, biology, physics, and engineering Can be used as a supplementary text in applied mathematics, engineering, and physics for upper-undergraduate to graduate courses - [Gröbner Bases: A Computational Approach to Commutative Algebra](https://online.neatra.in/product/grobner-bases-a-computational-approach-to-commutative-algebra/): The origins of the mathematics in this book date back more than two thou­ sand years, as can be seen from the fact that one of the most important algorithms presented here bears the name of the Greek mathematician Eu­ clid. The word "algorithm" as well as the key word "algebra" in the title of this book come from the name and the work of the ninth-century scientist Mohammed ibn Musa al-Khowarizmi, who was born in what is now Uzbek­ istan and worked in Baghdad at the court of Harun al-Rashid's son. T - [Great Circle of Mysteries: Mathematics, the World, the Mind](https://online.neatra.in/product/great-circle-of-mysteries-mathematics-the-world-the-mind/): This visionary and engaging book provides a mathematical perspective on the fundamental ideas of numbers, space, life, evolution, the brain and the mind. The author suggests how a development of mathematical concepts in the spirit of category theory may lead to unravelling the mystery of the human mind and the design of universal learning algorithms. - [Graphs from Rings](https://online.neatra.in/product/graphs-from-rings/): This book gives an overview of research on graphs associated with commutative rings. The study of the connections between algebraic structures and certain graphs, especially finite groups and their Cayley graphs, is a classical subject which has attracted a lot of interest. - [Graphs and Combinatorial Optimization: from Theory to Applications: CTW2020 Proceedings](https://online.neatra.in/product/graphs-and-combinatorial-optimization-from-theory-to-applications-ctw2020-proceedings/): Presents the latest results in Combinatorial Optimization and in Graph Theory Emphasizes the contribution of young researchers in these fields Provides new insights on the connection of theory and applications of Operations Research - [Graph Theory](https://online.neatra.in/product/graph-theory-3/): By the authors of the classic text, Graph Theory with Applications Serves as both a textbook and an introduction to graph theory research, suitable for both mathematicians and computer scientists Features many new exercises of varying levels of difficulty to help the reader master the techniques An accompanying website/blog at blogs.springer.com/bondyandmurty provides a forum for further discussion and a wealth of supplementary material Includes supplementary material: sn.pub/extras - [Graph Theory](https://online.neatra.in/product/graph-theory-2/): This standard textbook of modern graph theory, now in its fifth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. - [Graph Theory](https://online.neatra.in/product/graph-theory/): This second volume in a two-volume series provides an extensive collection of conjectures and open problems in graph theory. It is designed for both graduate students and established researchers in discrete mathematics who are searching for research ideas and references. - [Grade Five Competition from the Leningrad Mathematical Olympiad: 1979–1992](https://online.neatra.in/product/grade-five-competition-from-the-leningrad-mathematical-olympiad-1979-1992/): Covers a level not generally found in the math olympiad literature Groups problems by topic, making it very useful for teachers and professionals running mathematical circles Provides full solutions to all contest problems, with preliminary discussions leading to their solutions, and further discussions for learning from their solutions - [Gibbs Semigroups](https://online.neatra.in/product/gibbs-semigroups/): This book focuses on the theory of the Gibbs semigroups, which originated in the 1970s and was motivated by the study of strongly continuous operator semigroups with values in the trace-class ideal. The book offers an up-to-date, exhaustive overview of the advances achieved in this theory after half a century of development. - [German Success Stories in Industrial Mathematics](https://online.neatra.in/product/german-success-stories-in-industrial-mathematics/): This book should illustrate the impact of collaborations between mathematics and industry. It is both an initiative of and coordinated by the German Committee for Mathematical Modeling, Simulation and Optimization (KoMSO). - [George E. Andrews 80 Years of Combinatory Analysis](https://online.neatra.in/product/george-e-andrews-80-years-of-combinatory-analysis/): Contains many private and work related photographs Dedicated to George Andrews’ 80th Birthday Complemented by special personal contributions - [Geometry: from Isometries to Special Relativity](https://online.neatra.in/product/geometry-from-isometries-to-special-relativity/): This textbook offers a geometric perspective on special relativity, bridging Euclidean space, hyperbolic space, and Einstein’s spacetime in one accessible, self-contained volume. Using tools tailored to undergraduates, the author explores Euclidean and non-Euclidean geometries, gradually building from intuitive to abstract spaces. - [Geometry, Analysis and Probability: In Honor of Jean-Michel Bismut](https://online.neatra.in/product/geometry-analysis-and-probability-in-honor-of-jean-michel-bismut/): This volume presents original research articles and extended surveys related to the mathematical interest and work of Jean-Michel Bismut. His outstanding contributions to probability theory and global analysis on manifolds have had a profound impact on several branches of mathematics in the areas of control theory, mathematical physics and arithmetic geometry. - [Geometry of Hypersurfaces](https://online.neatra.in/product/geometry-of-hypersurfaces/): Presents thorough treatment of hypersurfaces in real, complex, and quaternionic space forms with connections to symmetric spaces, homogeneous spaces, and Riemannian geometry Treats Dupin hypersurfaces using both standard and Lie sphere geometric techniques Discusses the comprehensive treatment of the theory of isoparametric hypersurfaces due to Cartan and Münzner that are necessary for understanding the subject? - [Geometry of Deep Learning](https://online.neatra.in/product/geometry-of-deep-learning/): The focus of this book is on providing students with insights into geometry that can help them understand deep learning from a unified perspective. Rather than describing deep learning as an implementation technique, as is usually the case in many existing deep learning books, here, deep learning is explained as an ultimate form of signal processing techniques that can be imagined. - [Geometry of Cauchy-Riemann Submanifolds](https://online.neatra.in/product/geometry-of-cauchy-riemann-submanifolds/): This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds. - [Geometry in History](https://online.neatra.in/product/geometry-in-history/): This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. - [Geometric Properties for Parabolic and Elliptic PDE's](https://online.neatra.in/product/geometric-properties-for-parabolic-and-elliptic-pdes/): Updated contributions in the areas covered by the workshop The book contains papers of distinguished researchers Geometric properties of solutions to elliptic and parabolic pdes are an intriguing subject of research - [Geometric Procedures for Civil Engineers](https://online.neatra.in/product/geometric-procedures-for-civil-engineers/): This book provides a multitude of geometric constructions usually encountered in civil engineering and surveying practice. A detailed geometric solution is provided to each construction as well as a step-by-step set of programming instructions for incorporation into a computing system. - [Geometric Optics](https://online.neatra.in/product/geometric-optics/): This text, now in its second edition, presents the mathematical background needed to design many optical combinations that are used in astronomical telescopes and cameras. - [Geometric Multivector Analysis: From Grassmann to Dirac](https://online.neatra.in/product/geometric-multivector-analysis-from-grassmann-to-dirac/): Develops carefully the foundations of calculus of multivector fields and differential forms Explains advanced material in a self-contained and down-to-earth way, e.g. Clifford algebra, spinors, differential forms and index theorems Touches on modern research areas in analysis Contains a novel treatment of Hodge decompositions based on first-order differential operators - [Geometric Inequalities](https://online.neatra.in/product/geometric-inequalities/): This unique collection of new and classical problems provides full coverage of geometric inequalities. Many of the 1,000 exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. - [Geometric Harmonic Analysis I: A Sharp Divergence Theorem with Nontangential Pointwise Traces](https://online.neatra.in/product/geometric-harmonic-analysis-i-a-sharp-divergence-theorem-with-nontangential-pointwise-traces/): This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. - [Geometric Function Theory in Higher Dimension](https://online.neatra.in/product/geometric-function-theory-in-higher-dimension/): The book collects the most relevant outcomes from the INdAM Workshop “Geometric Function Theory in Higher Dimension” held in Cortona on September 5-9, 2016. - [Geometric Flows on Planar Lattices](https://online.neatra.in/product/geometric-flows-on-planar-lattices/): Introduces important concepts in modern Applied Analysis through prototypical problems, discussed in a natural way Advanced research topics are introduced in a stimulating and constructive fashion Copious figures promote visual descriptions of concepts and methods - [Geometric Continuum Mechanics](https://online.neatra.in/product/geometric-continuum-mechanics/): This contributed volume explores the applications of various topics in modern differential geometry to the foundations of continuum mechanics. In particular, the contributors use notions from areas such as global analysis, algebraic topology, and geometric measure theory. - [Geometric Configurations of Singularities of Planar Polynomial Differential Systems: A Global Classification in the Quadratic Case](https://online.neatra.in/product/geometric-configurations-of-singularities-of-planar-polynomial-differential-systems-a-global-classification-in-the-quadratic-case/): This book addresses the global study of finite and infinite singularities of planar polynomial differential systems, with special emphasis on quadratic systems. While results covering the degenerate cases of singularities of quadratic systems have been published elsewhere, the proofs for the remaining harder cases were lengthier. - [Geometric Approximation Theory](https://online.neatra.in/product/geometric-approximation-theory/): This monograph provides a comprehensive introduction to the classical geometric approximation theory, emphasizing important themes related to the theory including uniqueness, stability, and existence of elements of best approximation. It presents a number of fundamental results for both these and related problems, many of which appear for the first time in monograph form. - [Geometric and Ergodic Aspects of Group Actions](https://online.neatra.in/product/geometric-and-ergodic-aspects-of-group-actions/): This book gathers papers on recent advances in the ergodic theory of group actions on homogeneous spaces and on geometrically finite hyperbolic manifolds presented at the workshop “Geometric and Ergodic Aspects of Group Actions,” organized by the Tata Institute of Fundamental Research, Mumbai, India, in 2018. - [Geometric Analysis of the Bergman Kernel and Metric](https://online.neatra.in/product/geometric-analysis-of-the-bergman-kernel-and-metric/): Several topics are presented for the first time in book form Textbook for graduate students that will also benefit seasoned researchers in mathematics Includes illustrative examples and carefully chosen exercises Discusses applications to function theory, geometry, partial differential equations, and interpretations in terms of functional analysis Includes supplementary material: sn.pub/extras - [Geometric Analysis](https://online.neatra.in/product/geometric-analysis/): This edited volume has a two-fold purpose. First, comprehensive survey articles provide a way for beginners to ease into the corresponding sub-fields. These are then supplemented by original works that give the more advanced readers a glimpse of the current research in geometric analysis and related PDEs. - [Genericity in Nonlinear Analysis](https://online.neatra.in/product/genericity-in-nonlinear-analysis/): This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine. - [Generalized Preinvexity and Second Order Duality in Multiobjective Programming](https://online.neatra.in/product/generalized-preinvexity-and-second-order-duality-in-multiobjective-programming/): This book introduces readers to several new generalized preinvex functions and generalized invariant monotone functions. It begins by describing the main properties of these functions and various relations. - [Generalized Nash Equilibrium Problems, Bilevel Programming and MPEC](https://online.neatra.in/product/generalized-nash-equilibrium-problems-bilevel-programming-and-mpec/): The book discusses three classes of problems: the generalized Nash equilibrium problems, the bilevel problems and the mathematical programming with equilibrium constraints (MPEC). These problems interact through their mathematical analysis as well as their applications. - [Generalized Inverses: Theory and Computations](https://online.neatra.in/product/generalized-inverses-theory-and-computations/): This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics. It presents a theoretical study of the generalization of Cramer's rule, determinant representations of the generalized inverses, reverse order law of the generalized inverses of a matrix product, structures of the generalized inverses of structured matrices, parallel computation of the generalized inverses, perturbation analysis of the generalized inverses, an algorithmic study of the computational methods for the full-rank factorization of a generalized inverse, generalized singular value decomposition, imbedding method, finite method, generalized inverses of polynomial matrices, and generalized inverses of linear operators. - [General Galois Geometries](https://online.neatra.in/product/general-galois-geometries/): This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volume completes the trilogy comprised of plane case (first volume) and three dimensions (second volume). - [Gems of Combinatorial Optimization and Graph Algorithms](https://online.neatra.in/product/gems-of-combinatorial-optimization-and-graph-algorithms/): Gems of Combinatorial Optimization and Graph Algorithms is a handpicked collection of up-to-date articles, carefully prepared by a select group of international experts, who have contributed some of their most mathematically or algorithmically elegant ideas. Topics include longest tours and Steiner trees in geometric spaces, cartograms, resource buying games, congestion games, selfish routing, revenue equivalence and shortest paths, scheduling, linear structures in graphs, contraction hierarchies, budgeted matching problems, and motifs in networks. - [Game-Theoretic Learning and Distributed Optimization in Memoryless Multi-Agent Systems](https://online.neatra.in/product/game-theoretic-learning-and-distributed-optimization-in-memoryless-multi-agent-systems/): This book presents new efficient methods for optimization in realistic large-scale, multi-agent systems. These methods do not require the agents to have the full information about the system, but instead allow them to make their local decisions based only on the local information, possibly obtained during communication with their local neighbors. - [Game Theory for Security and Risk Management: From Theory to Practice](https://online.neatra.in/product/game-theory-for-security-and-risk-management-from-theory-to-practice/): The chapters in this volume explore how various methods from game theory can be utilized to optimize security and risk-management strategies. Emphasizing the importance of connecting theory and practice, they detail the steps involved in selecting, adapting, and analyzing game-theoretic models in security engineering and provide case studies of successful implementations in different application domains. - [Game Theory for Cyber Deception: From Theory to Applications](https://online.neatra.in/product/game-theory-for-cyber-deception-from-theory-to-applications/): Introduces game theory as a means to conceptualize, analyze, and model cyber deception Develops a thorough game-theoretic taxonomy to identify and investigate emerging problems in cybersecurity Includes a broad range of game-theoretic models, such as large-population games and games of incomplete information - [Galois Theory and Advanced Linear Algebra](https://online.neatra.in/product/galois-theory-and-advanced-linear-algebra/): This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms. Divided into four chapters and presenting numerous new theorems, it serves as an easy-to-understand textbook for undergraduate students of advanced linear algebra, and helps students understand other courses, such as Riemannian geometry. - [Fuzzy Operator Theory in Mathematical Analysis](https://online.neatra.in/product/fuzzy-operator-theory-in-mathematical-analysis/): This self-contained monograph presents an overview of fuzzy operator theory in mathematical analysis. - [Fundamentals of the Mechanics of Solids](https://online.neatra.in/product/fundamentals-of-the-mechanics-of-solids/): This distinctive textbook aims to introduce readers to the basic structures of the mechanics of deformable bodies, with a special emphasis on the description of the elastic behavior of simple materials and structures composed by elastic beams. The authors take a deductive rather than inductive approach and start from a few first, foundational principles. - [Fundamentals of Differential Geometry](https://online.neatra.in/product/fundamentals-of-differential-geometry/): New edition of a successful Serge Lang title Written in the authors unique and engaging style, with clear and elegant proofs Covers the fundamentals of differential geometry, differential topology, and differential equations Includes new chapters on Jacobi lifts, tensorial splitting of the double tangent bundle, curvature and the variation formula, and an example of semi-negative curvature New chapters, sections, examples, and exercises have been added - [Fundamentals of Algebraic Topology](https://online.neatra.in/product/fundamentals-of-algebraic-topology/): Covers the essential results of algebraic topology in a concise and pragmatic manner Provides an introduction to manifolds, CW complexes, and homotopy theory Explains applications of algebraic topology to problems in topology and algebra Reveals the logical structure of the subject by illuminating the separate roles of algebra and topology - [Fundamental Solutions of Linear Partial Differential Operators: Theory and Practice](https://online.neatra.in/product/fundamental-solutions-of-linear-partial-differential-operators-theory-and-practice/): This monograph provides the theoretical foundations needed for the construction of fundamental solutions and fundamental matrices of (systems of) linear partial differential equations. Many illustrative examples also show techniques for finding such solutions in terms of integrals. - [Functions of One Complex Variable II](https://online.neatra.in/product/functions-of-one-complex-variable-ii/): This is the sequel to my book Functions of One Complex Variable I, and probably a good opportunity to express my appreciation to the mathemat­ ical community for its reception of that work. In retrospect, writing that book was a crazy venture. As a graduate student I had had one of the worst learning experiences of my career when I took complex analysis| a truly bad teacher. - [Functions of One Complex Variable I](https://online.neatra.in/product/functions-of-one-complex-variable-i/): This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - 8 arguments. - [Functional and Shape Data Analysis](https://online.neatra.in/product/functional-and-shape-data-analysis/): This textbook for courses on function data analysis and shape data analysis describes how to define, compare, and mathematically represent shapes, with a focus on statistical modeling and inference. It is aimed at graduate students in analysis in statistics, engineering, applied mathematics, neuroscience, biology, bioinformatics, and other related areas. - [Linear Model Theory: Exercises and Solutions](https://online.neatra.in/product/linear-model-theory-exercises-and-solutions/): This book contains 296 exercises and solutions covering a wide variety of topics in linear model theory, including generalized inverses, estimability, best linear unbiased estimation and prediction, ANOVA, confidence intervals, simultaneous confidence intervals, hypothesis testing, and variance component estimation. The models covered include the Gauss-Markov and Aitken models, mixed and random effects models, and the general mixed linear model. - [Linear Geometry](https://online.neatra.in/product/linear-geometry/): This is essentially a book on linear algebra. But the approach is somewhat unusual in that we emphasise throughout the geometric aspect of the subject. - [Linear Functional Analysis for Scientists and Engineers](https://online.neatra.in/product/linear-functional-analysis-for-scientists-and-engineers/): This book provides a concise and meticulous introduction to functional analysis. Since the topic draws heavily on the interplay between the algebraic structure of a linear space and the distance structure of a metric space, functional analysis is increasingly gaining the attention of not only mathematicians but also scientists and engineers. - [Linear and Generalized Linear Mixed Models and Their Applications](https://online.neatra.in/product/linear-and-generalized-linear-mixed-models-and-their-applications/): Now in its second edition, this book covers two major classes of mixed effects models—linear mixed models and generalized linear mixed models—and it presents an up-to-date account of theory and methods in analysis of these models as well as their applications in various fields. - [Linear Algebraic Groups](https://online.neatra.in/product/linear-algebraic-groups/): James E. Humphreys is presently Professor of Mathematics at the University of Massachusetts at Amherst. Before this, he held the posts of Assistant Professor of Mathematics at the University of Oregon and Associate Professor of Mathematics at New York University. - [Linear Algebra and Group Theory for Physicists and Engineers](https://online.neatra.in/product/linear-algebra-and-group-theory-for-physicists-and-engineers/): This textbook demonstrates the strong interconnections between linear algebra and group theory by presenting them simultaneously, a pedagogical strategy ideal for an interdisciplinary audience. Being approached together at the same time, these two topics complete one another, allowing students to attain a deeper understanding of both subjects. - [Linear Algebra](https://online.neatra.in/product/linear-algebra/): This textbook gives a detailed and comprehensive presentation of linear algebra based on an axiomatic treatment of linear spaces. - [Limit Theorems for Multi-Indexed Sums of Random Variables](https://online.neatra.in/product/limit-theorems-for-multi-indexed-sums-of-random-variables/): Presenting the first unified treatment of limit theorems for multiple sums of independent random variables, this volume fills an important gap in the field. Several new results are introduced, even in the classical setting, as well as some new approaches that are simpler than those already established in the literature. - [Lie Models in Topology](https://online.neatra.in/product/lie-models-in-topology/): Provides new tools to address the problem of extending the Quillen approach to a more general category of spaces Opens a field of vision to solve old problems and pose new questions Winner of the 2020 Ferran Sunyer i Balaguer Prize - [Lie Methods in Deformation Theory](https://online.neatra.in/product/lie-methods-in-deformation-theory/): This book furnishes a comprehensive treatment of differential graded Lie algebras, L-infinity algebras, and their use in deformation theory. We believe it is the first textbook devoted to this subject, although the first chapters are also covered in other sources with a different perspective. - [Lie Groups, Lie Algebras, and Their Representations](https://online.neatra.in/product/lie-groups-lie-algebras-and-their-representations/): This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. - [Lie Groups, Lie Algebras, and Representations: An Elementary Introduction](https://online.neatra.in/product/lie-groups-lie-algebras-and-representations-an-elementary-introduction/): New edition extensively revised and updated Covers the core topics of Lie theory from an elementary point of view Includes many new exercises - [Lie Groups, Differential Equations, and Geometry: Advances and Surveys](https://online.neatra.in/product/lie-groups-differential-equations-and-geometry-advances-and-surveys/): This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. - [Level Set Methods for Fluid-Structure Interaction](https://online.neatra.in/product/level-set-methods-for-fluid-structure-interaction/): This monograph is devoted to Eulerian models for fluid-structure interaction by applying the original point of view of level set methods. In the last 15 years, Eulerian models have become popular tools for studying fluid-structure interaction problems. - [Lessons in Enumerative Combinatorics](https://online.neatra.in/product/lessons-in-enumerative-combinatorics/): Offers a unified and friendly approach to enumerative combinatorics through formal languages Showcases the authors' unique perspective and insightful examples Illuminates the important connection between discrete mathematics and computer science Engages readers through numerous exercises, examples, and applications - [Leibniz on the Parallel Postulate and the Foundations of Geometry](https://online.neatra.in/product/leibniz-on-the-parallel-postulate-and-the-foundations-of-geometry/): This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. - [Lectures on Variational Analysis](https://online.neatra.in/product/lectures-on-variational-analysis/): This book presents an introduction to variational analysis, a field which unifies theories and techniques developed in calculus of variations, optimization, and control, and covers convex analysis, nonsmooth analysis, and set-valued analysis. It focuses on problems with constraints, the analysis of which involves set-valued mappings and functions that are not differentiable. - [Lectures on the Theory of Algebraic Numbers](https://online.neatra.in/product/lectures-on-the-theory-of-algebraic-numbers/): . . . if one wants to make progress in mathematics one should study the masters not the pupils. N. H. Abel Heeke was certainly one of the masters, and in fact, the study of Heeke L­ series and Heeke operators has permanently embedded his name in the fabric of number theory. - [Lectures on the Nearest Neighbor Method](https://online.neatra.in/product/lectures-on-the-nearest-neighbor-method/): This text presents a wide-ranging and rigorous overview of nearest neighbor methods, one of the most important paradigms in machine learning. - [Lectures on the Hyperreals: An Introduction to Nonstandard Analysis](https://online.neatra.in/product/lectures-on-the-hyperreals-an-introduction-to-nonstandard-analysis/): There are good reasons to believe that nonstandard analysis, in some ver­ sion or other, will be the analysis of the future. KURT GODEL This book is a compilation and development of lecture notes written for a course on nonstandard analysis that I have now taught several times. - [Lectures on Riemann Surfaces](https://online.neatra.in/product/lectures-on-riemann-surfaces/): This book grew out of lectures on Riemann surfaces which the author gave at the universities of Munich, Regensburg and Munster. - [Lectures on Polytopes](https://online.neatra.in/product/lectures-on-polytopes/) - [Lectures on Numerical Radius Inequalities](https://online.neatra.in/product/lectures-on-numerical-radius-inequalities/): This book is a self-contained advanced monograph on inequalities involving the numerical radius of bounded linear operators acting on complex Hilbert spaces. - [Lectures on Nonsmooth Differential Geometry](https://online.neatra.in/product/lectures-on-nonsmooth-differential-geometry/): This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis. In particular, a quite detailed account of the first-order structure of general metric measure spaces is presented, and the reader is introduced to the second-order calculus on spaces – known as RCD spaces – satisfying a synthetic lower Ricci curvature bound. - [Lectures on Modules and Rings](https://online.neatra.in/product/lectures-on-modules-and-rings/): Textbook writing must be one of the cruelest of self-inflicted tortures. - Carl Faith Math Reviews 54: 5281 So why didn't I heed the warning of a wise colleague, especially one who is a great expert in the subject of modules and rings? The answer is simple: I did not learn about it until it was too late! My writing project in ring theory started in 1983 after I taught a year-long course in the subject at Berkeley. - [Lectures on Functor Homology](https://online.neatra.in/product/lectures-on-functor-homology/): This book features a series of lectures that explores three different fields in which functor homology (short for homological algebra in functor categories) has recently played a significant role. For each of these applications, the functor viewpoint provides both essential insights and new methods for tackling difficult mathematical problems. - [Lectures on Discrete Geometry](https://online.neatra.in/product/lectures-on-discrete-geometry/): Quickly leads the reader to the edge of current research Introduces many important oncepts and techniques on carefully chosen results where technicalities are used Book does not require any special background beyond undergraduate mathematics - [Lectures on Convex Geometry](https://online.neatra.in/product/lectures-on-convex-geometry/): The text provides a self-contained and efficient one-semester introduction to the main concepts and results in convex geometry. The selected topics highlight the interactions between geometry and analysis, treating several topics for the first time in an introductory textbook. Suggestions for further reading and a large number of solved exercises complement the main text - [Lectures and Surveys on G2-Manifolds and Related Topics](https://online.neatra.in/product/lectures-and-surveys-on-g2-manifolds-and-related-topics/): This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis. - [Lecture Notes on Mean Curvature Flow](https://online.neatra.in/product/lecture-notes-on-mean-curvature-flow/): detailed and complete introduction to the topic lecture focus: well suited for postgraduate courses summary of the state of the art and open problems Includes supplementary material: sn.pub/extras - [Lecture Notes on Elementary Topology and Geometry](https://online.neatra.in/product/lecture-notes-on-elementary-topology-and-geometry/): At the present time, the average undergraduate mathematics major finds mathematics heavily compartmentalized. After the calculus, he takes a course in analysis and a course in algebra. - [Lattice Rules: Numerical Integration, Approximation, and Discrepancy](https://online.neatra.in/product/lattice-rules-numerical-integration-approximation-and-discrepancy/): Lattice rules are a powerful and popular form of quasi-Monte Carlo rules based on multidimensional integration lattices. This book provides a comprehensive treatment of the subject with detailed explanations of the basic concepts and the current methods used in research. - [Large Scale Optimization in Supply Chains and Smart Manufacturing](https://online.neatra.in/product/large-scale-optimization-in-supply-chains-and-smart-manufacturing/): In this book, theory of large scale optimization is introduced with case studies of real-world problems and applications of structured mathematical modeling. - [Large Sample Techniques for Statistics](https://online.neatra.in/product/large-sample-techniques-for-statistics/): This book offers a comprehensive guide to large sample techniques in statistics. With a focus on developing analytical skills and understanding motivation, Large Sample Techniques for Statistics begins with fundamental techniques, and connects theory and applications in engaging ways. - [Landscape of 21st Century Mathematics: Selected Advances, 2001–2020](https://online.neatra.in/product/landscape-of-21st-century-mathematics-selected-advances-2001-2020/): Includes over 400 great theorems from all areas of mathematics Presents current mathematics research directions and results Accessible to advanced undergraduates and above - [Labor and Supply Chain Networks](https://online.neatra.in/product/labor-and-supply-chain-networks/): The COVID-19 pandemic has vividly and dramatically demonstrated the importance of supply chains to the functioning of societies and our economies. The discussion in this timely book explores prominent issues concerning supply chain networks and labor. - [Kurt Gödel: The Genius of Metamathematics](https://online.neatra.in/product/kurt-godel-the-genius-of-metamathematics/): During his lifetime, Kurt Gödel was not well known outside the professional world of mathematicians, philosophers and theoretical physicists. Early in his career, for his doctoral thesis and then for his Habilitation (Dr.Sci.), he wrote earthshaking articles on the completeness and provability of mathematical-logical systems, upsetting the hypotheses of the most famous mathematicians/philosophers of the time. - [Kurt Gödel](https://online.neatra.in/product/kurt-godel/): Paris of the year 1900 left two landmarks: the Tour Eiffel, and David Hilbert's celebrated list of twenty-four mathematical problems presented at a conference opening the new century. Kurt Gödel, a logical icon of that time, showed Hilbert's ideal of complete axiomatization of mathematics to be unattainable. The result, of 1931, is called Gödel's incompleteness theorem. - [Kuranishi Structures and Virtual Fundamental Chains](https://online.neatra.in/product/kuranishi-structures-and-virtual-fundamental-chains/): The package of Gromov’s pseudo-holomorphic curves is a major tool in global symplectic geometry and its applications, including mirror symmetry and Hamiltonian dynamics. The Kuranishi structure was introduced by two of the authors of the present volume in the mid-1990s to apply this machinery on general symplectic manifolds without assuming any specific restrictions. - [k-Schur Functions and Affine Schubert Calculus](https://online.neatra.in/product/k-schur-functions-and-affine-schubert-calculus/): This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert calculus lies at the crossroads of combinatorics, geometry, and representation theory. - [Krylov Subspace Methods for Linear Systems: Principles of Algorithms](https://online.neatra.in/product/krylov-subspace-methods-for-linear-systems-principles-of-algorithms/): This book focuses on Krylov subspace methods for solving linear systems, which are known as one of the top 10 algorithms in the twentieth century, such as Fast Fourier Transform and Quick Sort (SIAM News, 2000). Theoretical aspects of Krylov subspace methods developed in the twentieth century are explained and derived in a concise and unified way. - [Krylov Methods for Nonsymmetric Linear Systems](https://online.neatra.in/product/krylov-methods-for-nonsymmetric-linear-systems/): This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. - [Kronecker Modeling and Analysis of Multidimensional Markovian Systems](https://online.neatra.in/product/kronecker-modeling-and-analysis-of-multidimensional-markovian-systems/): This work considers Kronecker-based models with finite as well as countably infinite state spaces for multidimensional Markovian systems by paying particular attention to those whose reachable state spaces are smaller than their product state spaces. - [Kazhdan-Lusztig Cells with Unequal Parameters](https://online.neatra.in/product/kazhdan-lusztig-cells-with-unequal-parameters/): This monograph provides a comprehensive introduction to the Kazhdan-Lusztig theory of cells in the broader context of the unequal parameter case. Serving as a useful reference, the present volume offers a synthesis of significant advances made since Lusztig’s seminal work on the subject was published in 2002. - [Jost Bürgi's Aritmetische und Geometrische Progreß Tabulen (1620)](https://online.neatra.in/product/jost-burgis-aritmetische-und-geometrische-progres-tabulen-1620/): This monograph presents a groundbreaking scholarly treatment of the German mathematician Jost Bürgi’s original work on logarithms, Arithmetische und Geometrische Progreß Tabulen. It provides the first-ever English translation of Bürgi’s text and illuminates his role in the development of the conception of logarithms, for which John Napier is traditionally given priority. - [Jaghmini’s Mulakhkha?: An Islamic Introduction to Ptolemaic Astronomy](https://online.neatra.in/product/jaghminis-mulakhkha-an-islamic-introduction-to-ptolemaic-astronomy/): This book provides the only critical edition and English translation of Ma?m?d al-Jaghm?n?’s al-Mulakhkha? f? al-hay?a al-bas??a, the most widely circulated Arabic treatise on Ptolemaic astronomy ever written. Composed in the early 13th century, this introductory textbook played a crucial role in the teaching, dissemination, and institutional instruction of Islamic astronomy well into the 19th century (and beyond). - [Jacobi-Like Forms, Pseudodifferential Operators, and Quasimodular Forms](https://online.neatra.in/product/jacobi-like-forms-pseudodifferential-operators-and-quasimodular-forms/): This book explores various properties of quasimodular forms, especially their connections with Jacobi-like forms and automorphic pseudodifferential operators. - [Iterative Solution of Large Sparse Systems of Equations](https://online.neatra.in/product/iterative-solution-of-large-sparse-systems-of-equations/): In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature. - [Islamic Geometric Patterns: Their Historical Development and Traditional Methods of Construction](https://online.neatra.in/product/islamic-geometric-patterns-their-historical-development-and-traditional-methods-of-construction/): The main focus of this unique book is an in-depth examination of the polygonal technique; the primary method used by master artists of the past in creating Islamic geometric patterns. - [Islamic Design: A Mathematical Approach: A Mathematical Approach](https://online.neatra.in/product/islamic-design-a-mathematical-approach-a-mathematical-approach/): Only school-level geometry required Provides new ways of analysing Islamic Geometric ornament Shows development and geographical range of the art Combines historical and mathematical study of Islamic art - [Irregularities in the Distribution of Prime Numbers: From the Era of Helmut Maier's Matrix Method and Beyond](https://online.neatra.in/product/irregularities-in-the-distribution-of-prime-numbers-from-the-era-of-helmut-maiers-matrix-method-and-beyond/): This volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes. Written by an international group of experts, contributions present a self-contained yet unified exploration of a rapidly progressing area. - [Inverse Problems for Partial Differential Equations](https://online.neatra.in/product/inverse-problems-for-partial-differential-equations/): This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years. As in the second edition, the emphasis is on new ideas and methods rather than technical improvements. - [Inverse Linear Problems on Hilbert Space and their Krylov Solvability](https://online.neatra.in/product/inverse-linear-problems-on-hilbert-space-and-their-krylov-solvability/): This book presents a thorough discussion of the theory of abstract inverse linear problems on Hilbert space. Given an unknown vector f in a Hilbert space H, a linear operator A acting on H, and a vector g in H satisfying Af=g, one is interested in approximating f by finite linear combinations of g, Ag, A2g, A3g, … The closed subspace generated by the latter vectors is called the Krylov subspace of H generated by g and A. - [Inverse Galois Theory](https://online.neatra.in/product/inverse-galois-theory/): Explores new developments in the field of Inverse Galois Theory Presents the most successful known existence theorems and construction methods for Galois extensions Introduces solutions of embedding problems combined with a collection of the existing Galois realizations Gives an introduction to the results on fundamental groups in positive characteristic obtained by rigid analytic methods Contains tables of example polynomials for transitive respectively primitive permutation groups up to degree 30 - [Inverse Acoustic and Electromagnetic Scattering Theory](https://online.neatra.in/product/inverse-acoustic-and-electromagnetic-scattering-theory/): Includes updates on significant advances in the area of inverse problems Considered to be the standard reference book in the field of inverse scattering theory Brief discussions on the generalized linear sampling method, the method of recursive linearization, anisotropic media and the use of target signatures in inverse scattering theory have been added - [Introduction to Vortex Filaments in Equilibrium](https://online.neatra.in/product/introduction-to-vortex-filaments-in-equilibrium/): This book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium. It also presents new discoveries in quasi-2D vortex structures with applications to geophysical fluid dynamics and magnetohydrodynamics in plasmas. - [Introduction to Uncertainty Quantification](https://online.neatra.in/product/introduction-to-uncertainty-quantification/): This text provides a framework in which the main objectives of the field of uncertainty quantification (UQ) are defined and an overview of the range of mathematical methods by which they can be achieved. - [Introduction to Topological Manifolds](https://online.neatra.in/product/introduction-to-topological-manifolds/): New edition extensively revised and updated New introduction to CW complexes (along with a brief and streamlined introduction to simplicial complexes) Expanded treatments of manifolds with boundary, local compactness, group actions, proper maps, and a new section on paracompactness - [Introduction to Time-Delay Systems](https://online.neatra.in/product/introduction-to-time-delay-systems/): The beginning of the 21st century can be characterized as the” time-delay boom” leading to numerous important results. The purpose of this book is two-fold, to familiarize the non-expert reader with time-delay systems and to provide a systematic treatment of modern ideas and techniques for experts. - [Introduction to the Theory of Schemes](https://online.neatra.in/product/introduction-to-the-theory-of-schemes/): Provides a concise but extremely lucid exposition of the basics of algebraic geometry and sheaf theory accompanied by illuminating examples Requires no prerequisites apart from the basic knowledge of abstract algebra Facilitates understanding of the key notions of supersymmetry theory - a working tool of modern theoretical physics - [Introduction to the Foundations of Applied Mathematics](https://online.neatra.in/product/introduction-to-the-foundations-of-applied-mathematics/): The objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering. - [Introduction to Stochastic Calculus](https://online.neatra.in/product/introduction-to-stochastic-calculus/): This book sheds new light on stochastic calculus, the branch of mathematics that is most widely applied in financial engineering and mathematical finance. The first book to introduce pathwise formulae for the stochastic integral, it provides a simple but rigorous treatment of the subject, including a range of advanced topics. - [Introduction to Soergel Bimodules](https://online.neatra.in/product/introduction-to-soergel-bimodules/): This book provides a comprehensive introduction to Soergel bimodules. First introduced by Wolfgang Soergel in the early 1990s, they have since become a powerful tool in geometric representation theory. - [Introduction to Smooth Manifolds](https://online.neatra.in/product/introduction-to-smooth-manifolds/): New edition extensively revised and clarified, and topics have been substantially rearranged Introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier in the text Added topics include Sard’s theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures Includes supplementary material: sn.pub/extras Includes supplementary material: sn.pub/extras - [Introduction to Singularities](https://online.neatra.in/product/introduction-to-singularities/): This book is an introduction to singularities for graduate students and researchers. Algebraic geometry is said to have originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. - [Introduction to Riemannian Manifolds](https://online.neatra.in/product/introduction-to-riemannian-manifolds/): Easy for instructors to adapt the topical coverage to suit their course Develops an intimate acquaintance with the geometric meaning of curvature Gives students strong skills via numerous exercises and problem sets - [Introduction to Relation Algebras: Relation Algebras, Volume 1](https://online.neatra.in/product/introduction-to-relation-algebras-relation-algebras-volume-1/): The first volume of a pair that charts relation algebras from novice to expert level, this text offers a comprehensive grounding for readers new to the topic. Upon completing this introduction, mathematics students may delve into areas of active research by progressing to the second volume, Advanced Topics in Relation Algebras; computer scientists, philosophers, and beyond will be equipped to apply these tools in their own field. - [Introduction to Queueing Systems with Telecommunication Applications](https://online.neatra.in/product/introduction-to-queueing-systems-with-telecommunication-applications/): The book is the extended and revised version of the 1st edition and is composed of two main parts: mathematical background and queueing systems with applications. The mathematical background is a self-containing introduction to the stochastic processes of the later studied queueing systems. - [Introduction to Queueing Networks: Theory n Practice](https://online.neatra.in/product/introduction-to-queueing-networks-theory-n-practice/): Unites performance and optimization topical areas Includes many and varied applications from manufacturing, service, medical, and environmental applications Integrates transportation and material handling topics with the general queueing models Includes software programs for demonstration and solution - [Introduction to Probability with Statistical Applications](https://online.neatra.in/product/introduction-to-probability-with-statistical-applications/): Now in its second edition, this textbook serves as an introduction to probability and statistics for non-mathematics majors who do not need the exhaustive detail and mathematical depth provided in more comprehensive treatments of the subject. - [Introduction to Partial Differential Equations](https://online.neatra.in/product/introduction-to-partial-differential-equations/): This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. - [Introduction to Numerical Methods for Variational Problems](https://online.neatra.in/product/introduction-to-numerical-methods-for-variational-problems/): Teaching the concept of finite elements or variational methods in general to students with less mathematical background Taking an explicit and practical approach and explaining the algorithmic aspects in detail Suitable already in the third year - [Introduction to Matrix Theory](https://online.neatra.in/product/introduction-to-matrix-theory/): This book is designed to serve as a textbook for courses offered to undergraduate and postgraduate students enrolled in Mathematics. Using elementary row operations and Gram-Schmidt orthogonalization as basic tools the text develops characterization of equivalence and similarity, and various factorizations such as rank factorization, OR-factorization, Schurtriangularization, Diagonalization of normal matrices, Jordan decomposition, singular value decomposition, and polar decomposition. - [Introduction to Mathematical Biology](https://online.neatra.in/product/introduction-to-mathematical-biology/): This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. - [Introduction to Lie Algebras and Representation Theory](https://online.neatra.in/product/introduction-to-lie-algebras-and-representation-theory/): Includes supplementary material: sn.pub/extras - [Introduction to Inverse Problems for Differential Equations](https://online.neatra.in/product/introduction-to-inverse-problems-for-differential-equations/): This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. - [Introduction to Hamiltonian Dynamical Systems and the N-Body Problem](https://online.neatra.in/product/introduction-to-hamiltonian-dynamical-systems-and-the-n-body-problem/): Provides an introduction to an advanced area of research ideal for beginners Problems included at the end of each chapter Included topics lead to current literature and research Includes supplementary material: sn.pub/extras - [Introduction to Elliptic Curves and Modular Forms](https://online.neatra.in/product/introduction-to-elliptic-curves-and-modular-forms/): This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory. The ancient "congruent number problem" is the central motivating example for most of the book. - [Introduction to Discrete Mathematics via Logic and Proof](https://online.neatra.in/product/introduction-to-discrete-mathematics-via-logic-and-proof/): Emphasizes fundamentals of deductive logic to prepare students for a coherent collection of core topics in discrete mathematics Introduces the reading and writing of proofs by using a natural deduction approach to mathematical logic Engages students through a wide selection of interesting and novel exercises Highlights historical developments and connections between topics throughout Request lecturer material: sn.pub/lecturer-material - [Introduction to Cyclotomic Fields](https://online.neatra.in/product/introduction-to-cyclotomic-fields/): Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions, leading the reader to an understanding of modern research literature. - [Introduction to Coding Theory](https://online.neatra.in/product/introduction-to-coding-theory/): It is gratifying that this textbook is still sufficiently popular to warrant a third edition. I have used the opportunity to improve and enlarge the book. - [Introduction to Calculus and Classical Analysis](https://online.neatra.in/product/introduction-to-calculus-and-classical-analysis/): Involving rigorous analysis, computational dexterity, and a breadth of applications, this text is ideal for an undergraduate honors calculus course or for an introduction to analysis. - [Introduction to Applied Optimization](https://online.neatra.in/product/introduction-to-applied-optimization/): Intended for advanced undergraduate/graduate students as well as scientists and engineers, this textbook presents a multi-disciplinary view of optimization, providing a thorough examination of algorithms, methods, techniques, and tools from diverse areas of optimization. - [Introduction to Algebraic and Abelian Functions](https://online.neatra.in/product/introduction-to-algebraic-and-abelian-functions/): Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and the example of the Fermat curves is carried throughout the text. - [Introduction to Affine Group Schemes](https://online.neatra.in/product/introduction-to-affine-group-schemes/): Ah Love! Could you and I with Him consl?ire To grasp this sorry Scheme of things entIre' KHAYYAM People investigating algebraic groups have studied the same objects in many different guises. - [Intersection Homology & Perverse Sheaves: with Applications to Singularities](https://online.neatra.in/product/intersection-homology-perverse-sheaves-with-applications-to-singularities/): Offers a taste of the main topics in the field through concrete examples and geometric applications Motivates further specialized study by building context and familiarity with examples Suits graduate students with only a basic background in topology and algebraic geometry Provides comprehensive references throughout to help readers navigate classic and recent literature Includes supplementary material: sn.pub/extras - [Interactive Data Processing and 3D Visualization of the Solid Earth](https://online.neatra.in/product/interactive-data-processing-and-3d-visualization-of-the-solid-earth/): This book presents works detailing the application of processing and visualization techniques for analyzing the Earth’s subsurface. The topic of the book is interactive data processing and interactive 3D visualization techniques used on subsurface data. - [Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification](https://online.neatra.in/product/interactions-of-quantum-affine-algebras-with-cluster-algebras-current-algebras-and-categorification/): This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues, in celebration of the impact Vyjayanthi Chari has had on this area. - [Intelligent Control and Smart Energy Management: Renewable Resources and Transportation](https://online.neatra.in/product/intelligent-control-and-smart-energy-management-renewable-resources-and-transportation/): This volume aims to provide a state-of-the-art and the latest advancements in the field of intelligent control and smart energy management. Techniques, combined with technological advances, have enabled the deployment of new operating systems in many engineering applications, especially in the domain of transport and renewable resources. - [Intellectual Pursuits of Nicolas Rashevsky: The Queer Duck of Biology](https://online.neatra.in/product/intellectual-pursuits-of-nicolas-rashevsky-the-queer-duck-of-biology/): Who was Nicolas Rashevsky? To answer that question, this book draws on Rashevsky’s unexplored personal archival papers and shares interviews with his family, students and friends, as well as discussions with biologists and mathematical biologists, to flesh out and complete the picture. - [Integrodifference Equations in Spatial Ecology](https://online.neatra.in/product/integrodifference-equations-in-spatial-ecology/): Includes real applications to ecological questions throughout Provides an overview of the fundamental questions of spacial ecology Considered the first comprehensive exposition and review of the mathematical and ecological literature on integrodifference equations Includes supplementary material: sn.pub/extras - [Integration and Probability](https://online.neatra.in/product/integration-and-probability/): It is a distinct pleasure to have the opportunity to introduce Professor Malliavin's book to the English-speaking mathematical world. In recent years there has been a noticeable retreat from the level of ab­ straction at which graduate-level courses in analysis were previously taught in the United States and elsewhere. - [Integrating Routing Decisions in Public Transportation Problems](https://online.neatra.in/product/integrating-routing-decisions-in-public-transportation-problems/): This book treats three planning problems arising in public railway transportation planning: line planning, timetabling, and delay management, with the objective to minimize passengers’ travel time. - [Integrated Optimization in Public Transport Planning](https://online.neatra.in/product/integrated-optimization-in-public-transport-planning/): This book is one of the first to include an extensive discussion of integrated public transport planning. In times of growing urban populations and increasing environmental awareness, the importance of optimizing public transport systems is ever-developing. - [Integral Operators in Non-Standard Function Spaces: Volume 2: Variable Exponent Hölder, Morrey–Campanato and Grand Spaces](https://online.neatra.in/product/integral-operators-in-non-standard-function-spaces-volume-2-variable-exponent-holder-morrey-campanato-and-grand-spaces/): This book, the result of the authors’ long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hölder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them. - [Integral Equation Methods for Evolutionary PDE: A Convolution Quadrature Approach](https://online.neatra.in/product/integral-equation-methods-for-evolutionary-pde-a-convolution-quadrature-approach/): This book provides a comprehensive analysis of time domain boundary integral equations and their discretisation by convolution quadrature and the boundary element method. Properties of convolution quadrature, based on both linear multistep and Runge–Kutta methods, are explained in detail, always with wave propagation problems in mind. - [Integrability of Dynamical Systems: Algebra and Analysis](https://online.neatra.in/product/integrability-of-dynamical-systems-algebra-and-analysis/): This is the first book to systematically state the fundamental theory of integrability and its development of ordinary differential equations with emphasis on the Darboux theory of integrability and local integrability together with their applications. - [Integer Sequences: Divisibility, Lucas and Lehmer Sequences](https://online.neatra.in/product/integer-sequences-divisibility-lucas-and-lehmer-sequences/): This book discusses special properties of integer sequences from a unique point of view. It generalizes common, well-known properties and connects them with sequences such as divisible sequences, Lucas sequences, Lehmer sequences, periods of sequences, lifting properties, and so on. - [Integer Programming](https://online.neatra.in/product/integer-programming/): Gives a concise yet in-depth treatment of the theory and practice of integer programming Provides ample motivation and concrete illustration of theoretical results Guides the reader to many special topics in the literature Includes supplementary material: sn.pub/extras - [Inquiry-Based Enumerative Combinatorics: One, Two, Skip a Few... Ninety-Nine, One Hundred](https://online.neatra.in/product/inquiry-based-enumerative-combinatorics-one-two-skip-a-few-ninety-nine-one-hundred/): Equips readers with the fundamentals of enumerative combinatorics with an emphasis on generating function techniques Promotes an engaging learning experience by utilizing Inquiry-Based Learning (IBL) Offers an accessible entry-point to enumerative combinatorics that builds from minimal prerequisites to a selection of advanced topics - [Model Reduction of Complex Dynamical Systems](https://online.neatra.in/product/model-reduction-of-complex-dynamical-systems/): Presents the latest research on model order reduction of complex dynamical systems Features contributions from leading researchers and users of model order reduction techniques Offers an ideal resource for graduate students and researchers in all areas of model reduction, as well as those working in applied mathematics and theoretical informatics - [Model and Mathematics: From the 19th to the 21st Century](https://online.neatra.in/product/model-and-mathematics-from-the-19th-to-the-21st-century/): This open access book collects the historical and medial perspectives of a systematic and epistemological analysis of the complicated, multifaceted relationship between model and mathematics, ranging from, for example, the physical mathematical models of the 19th century to the simulation and digital modelling of the 21st century. - [Modal View of Atmospheric Variability: Applications of Normal-Mode Function Decomposition in Weather and Climate Research](https://online.neatra.in/product/modal-view-of-atmospheric-variability-applications-of-normal-mode-function-decomposition-in-weather-and-climate-research/): Introduces the theory and computation of the normal-mode functions Reviews the applications of the normal modes in data assimilation and initialization of numerical weather prediction models, and for predictability research Offers an up-to-date overview of research of atmospheric variability and energy transfers in terms of the Rossby and inertia-gravity waves across scales - [Mittag-Leffler Functions, Related Topics and Applications](https://online.neatra.in/product/mittag-leffler-functions-related-topics-and-applications/): The 2nd edition of this book is essentially an extended version of the 1st and provides a very sound overview of the most important special functions of Fractional Calculus. It has been updated with material from many recent papers and includes several surveys of important results known before the publication of the 1st edition, but not covered there. - [Mirzakhani’s Curve Counting and Geodesic Currents](https://online.neatra.in/product/mirzakhanis-curve-counting-and-geodesic-currents/): This monograph presents an approachable proof of Mirzakhani’s curve counting theorem, both for simple and non-simple curves. Designed to welcome readers to the area, the presentation builds intuition with elementary examples before progressing to rigorous proofs. This approach illuminates new and established results alike, and produces versatile tools for studying the geometry of hyperbolic surfaces, Teichmüller theory, and mapping class groups. - [Minimal Surfaces from a Complex Analytic Viewpoint](https://online.neatra.in/product/minimal-surfaces-from-a-complex-analytic-viewpoint/): The first book treating minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed only recently Treats the global theory of minimal surfaces with a given complex structure, providing new results Offers new directions in the theory of minimal surfaces and exposes several challenging open problems - [Microlocal Analysis, Sharp Spectral Asymptotics and Applications V: Applications to Quantum Theory and Miscellaneous Problems](https://online.neatra.in/product/microlocal-analysis-sharp-spectral-asymptotics-and-applications-v-applications-to-quantum-theory-and-miscellaneous-problems/): The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. - [Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV: Magnetic Schrödinger Operator 2](https://online.neatra.in/product/microlocal-analysis-sharp-spectral-asymptotics-and-applications-iv-magnetic-schrodinger-operator-2/): The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. - [Microlocal Analysis, Sharp Spectral Asymptotics and Applications III: Magnetic Schrödinger Operator 1](https://online.neatra.in/product/microlocal-analysis-sharp-spectral-asymptotics-and-applications-iii-magnetic-schrodinger-operator-1/): The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. - [Microlocal Analysis, Sharp Spectral Asymptotics and Applications II: Functional Methods and Eigenvalue Asymptotics](https://online.neatra.in/product/microlocal-analysis-sharp-spectral-asymptotics-and-applications-ii-functional-methods-and-eigenvalue-asymptotics/): The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. - [Microlocal Analysis, Sharp Spectral Asymptotics and Applications I: Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics](https://online.neatra.in/product/microlocal-analysis-sharp-spectral-asymptotics-and-applications-i-semiclassical-microlocal-analysis-and-local-and-microlocal-semiclassical-asymptotics/): The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in “small” domains to consider domains with singularities of different kinds. - [Michele Sce's Works in Hypercomplex Analysis: A Translation with Commentaries](https://online.neatra.in/product/michele-sces-works-in-hypercomplex-analysis-a-translation-with-commentaries/): This book presents English translations of Michele Sce’s most important works, originally written in Italian during the period 1955-1973, on hypercomplex analysis and algebras of hypercomplex numbers. - [Metrics, Norms, Inner Products, and Operator Theory](https://online.neatra.in/product/metrics-norms-inner-products-and-operator-theory/): This text is a self-contained introduction to the three main families that we encounter in analysis – metric spaces, normed spaces, and inner product spaces – and to the operators that transform objects in one into objects in another. With an emphasis on the fundamental properties defining the spaces, this book guides readers to a deeper understanding of analysis and an appreciation of the field as the “science of functions.” - [Metric Structures in Differential Geometry](https://online.neatra.in/product/metric-structures-in-differential-geometry/): Includes supplementary material: sn.pub/extras - [Metric Fixed Point Theory](https://online.neatra.in/product/metric-fixed-point-theory/): This book collects chapters on contemporary topics on metric fixed point theory and its applications in science, engineering, fractals, and behavioral sciences. Chapters contributed by renowned researchers from across the world, this book includes several useful tools and techniques for the development of skills and expertise in the area. - [Methods of Solving Nonstandard Problems](https://online.neatra.in/product/methods-of-solving-nonstandard-problems/): This book, written by an accomplished female mathematician, is the second to explore nonstandard mathematical problems – those that are not directly solved by standard mathematical methods but instead rely on insight and the synthesis of a variety of mathematical ideas. - [Methods of Nonlinear Analysis: Applications to Differential Equations](https://online.neatra.in/product/methods-of-nonlinear-analysis-applications-to-differential-equations/): Designed as a textbook for advanced undergraduate and graduate students and useful as a handbook for scientists and engineers Two level structure: basic level for the beginners and advanced one for more experienced reader Accessible to beginners by avoiding too many technical details and keeping key assertions simple Transparent and illustrative examples Exercises are an organic part of the exposition and accompany the reader throughout the book Includes supplementary material: sn.pub/extras - [Methods of Mathematical Physics: Classical and Modern](https://online.neatra.in/product/methods-of-mathematical-physics-classical-and-modern/): This textbook provides a thorough overview of mathematical physics, highlighting classical topics as well as recent developments. Readers will be introduced to a variety of methods that reflect current trends in research, including the Bergman kernel approach for solving boundary value and spectral problems for PDEs with variable coefficients. - [Methods for Partial Differential Equations: Qualitative Properties of Solutions, Phase Space Analysis, Semilinear Models](https://online.neatra.in/product/methods-for-partial-differential-equations-qualitative-properties-of-solutions-phase-space-analysis-semilinear-models/): This book provides an overview of different topics related to the theory of partial differential equations. Selected exercises are included at the end of each chapter to prepare readers for the “research project for beginners” proposed at the end of the book. - [Methods and Models in Mathematical Programming](https://online.neatra.in/product/methods-and-models-in-mathematical-programming/): This book focuses on mathematical modeling, describes the process of constructing and evaluating models, discusses the challenges and delicacies of the modeling process, and explicitly outlines the required rules and regulations so that the reader will be able to generalize and reuse concepts in other problems by relying on mathematical logic. - [Metastability](https://online.neatra.in/product/metastability/): This monograph provides a concise presentation of a mathematical approach to metastability, a wide-spread phenomenon in the dynamics of non-linear systems - physical, chemical, biological or economic - subject to the action of temporal random forces typically referred to as noise, based on potential theory of reversible Markov processes. - [Mesoscopic Theories of Heat Transport in Nanosystems](https://online.neatra.in/product/mesoscopic-theories-of-heat-transport-in-nanosystems/): This book presents generalized heat-conduction laws which, from a mesoscopic perspective, are relevant to new applications (especially in nanoscale heat transfer, nanoscale thermoelectric phenomena, and in diffusive-to-ballistic regime) and at the same time keep up with the pace of current microscopic research. The equations presented in the book are compatible with generalized formulations of nonequilibrium thermodynamics, going beyond the local-equilibrium. - [Meshfree Methods for Partial Differential Equations IX](https://online.neatra.in/product/meshfree-methods-for-partial-differential-equations-ix/): This volume collects selected papers presented at the Ninth International Workshop on Meshfree Methods held in Bonn, Germany in September 2017. They address various aspects of this very active research field and cover topics from applied mathematics, physics and engineering. - [Mesh Generation and Adaptation: Cutting-Edge Techniques](https://online.neatra.in/product/mesh-generation-and-adaptation-cutting-edge-techniques/): The developments in mesh generation are usually driven by the needs of new applications and/or novel algorithms. The last decade has seen a renewed interest in mesh generation and adaptation by the computational engineering community, due to the challenges introduced by complex industrial problems. - [Measure Theory: Second Edition](https://online.neatra.in/product/measure-theory-second-edition/): New edition provides additional topics such as the Kurzweil-Henstock integral, Banach-Tasrki paradox, a proof of the existence of liftings, the Daniell integral, and a brief introduction to measure-theoretic probability theory Contains numerous examples and exercises Provides a solid background for study in harmonic analysis and probability theory - [Measure Theory](https://online.neatra.in/product/measure-theory-2/) - [Measure Theory](https://online.neatra.in/product/measure-theory/): This book was planned originally not as a work to be published, but as an excuse to buy a computer, incidentally to give me a chance to organize my own ideas ~n what measure theory every would-be analyst should learn, and to detail my approach to the subject. When it turned out that Springer-Verlag thought that the point of view in the book had general interest and offered to publish it, I was forced to try to write more clearly and search for errors. - [Measure and Integration](https://online.neatra.in/product/measure-and-integration/): This bookcovers the material of a one year course in real analysis. It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom. - [Measure and Integral: Volume 1](https://online.neatra.in/product/measure-and-integral-volume-1/): This is a systematic exposition of the basic part of the theory of mea­ sure and integration. The book is intended to be a usable text for students with no previous knowledge of measure theory or Lebesgue integration, but it is also intended to include the results most com­ monly used in functional analysis. - [Measure and Category: A Survey of the Analogies between Topological and Measure Spaces](https://online.neatra.in/product/measure-and-category-a-survey-of-the-analogies-between-topological-and-measure-spaces/): In this edition, a set of Supplementary Notes and Remarks has been added at the end, grouped according to chapter. Some of these call attention to subsequent developments, others add further explanation or additional remarks. - [Meaning and Proscription in Formal Logic: Variations on the Propositional Logic of William T. Parry](https://online.neatra.in/product/meaning-and-proscription-in-formal-logic-variations-on-the-propositional-logic-of-william-t-parry/): This book aids in the rehabilitation of the wrongfully deprecated work of William Parry, and is the only full-length investigation into Parry-type propositional logics. - [Maximum-Entropy Sampling: Algorithms and Application](https://online.neatra.in/product/maximum-entropy-sampling-algorithms-and-application/): This monograph presents a comprehensive treatment of the maximum-entropy sampling problem (MESP), which is a fascinating topic at the intersection of mathematical optimization and data science. - [Maximum Principles and Geometric Applications](https://online.neatra.in/product/maximum-principles-and-geometric-applications/): This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. - [Matrix Analysis](https://online.neatra.in/product/matrix-analysis/): This book is intended for use as a text for upper division and gradu­ ate courses. Courses based on parts of the material have been given by me at the Indian Statistical Institute and at the University of Toronto (in collaboration with Chandler Davis). - [Matrices: Theory and Applications](https://online.neatra.in/product/matrices-theory-and-applications/): Updated edition with 40% new content with a new and more logical structure Features important material that was not in the first edition, including but not limited to the Dunford decomposition, tensor calculus, stable and unstable subspaces, Weyl inequalities, and von Neumann’s Inequality Includes an abundance of new exercises Includes supplementary material: sn.pub/extras - [Mathematics of the Weather: Polygonal Spline Local-Galerkin Methods on Spheres](https://online.neatra.in/product/mathematics-of-the-weather-polygonal-spline-local-galerkin-methods-on-spheres/): "Mathematics of the Weather” details the mathematical techniques used to create numerical models of the atmosphere. It explains methods which are currently considered for practical use in models for the exaflop computers (10**19 operations per seconds). - [Mathematics of Public Health](https://online.neatra.in/product/mathematics-of-public-health/): Curated by the Fields Institute for Research in Mathematical Sciences from their COVID-19 Math Modelling Seminars, this first in a series of volumes on the mathematics of public health allows readers to access the dominant ideas and techniques being used in this area, while indicating problems for further research. - [Mathematics of Planet Earth: Protecting Our Planet, Learning from the Past, Safeguarding for the Future](https://online.neatra.in/product/mathematics-of-planet-earth-protecting-our-planet-learning-from-the-past-safeguarding-for-the-future/): Connects the mathematical sciences with issues of current concern to society Provides self-standing introductions to a variety of topics in the geosciences, environmental science, ecology, socio-economics, and public health, with a wealth of supporting references and suggested questions for future research Demonstrates that Mathematics of Planet Earth (MPE) is essentially multidisciplinary and shows how the use of mathematical tools and techniques advances our understanding of problems in the natural, physical, and social sciences Suitable for advanced undergraduate and graduate-level students in the mathematical sciences interested in the effects of human activities on our planet and applying the tools and techniques of the discipline to study these effects, as well as for students in the natural, physical and social sciences who want to become familiar with these tools and techniques - [Mathematics of Particle-Wave Mechanical Systems](https://online.neatra.in/product/mathematics-of-particle-wave-mechanical-systems/): Despite successes of modern physics, the existence of dark energy and matter is indicative that conventional mechanical accounting is lacking. The most basic of all mechanical principles is Newton’s second law, and conventionally, energy is just energy whether particle or wave energy. - [Mathematics of Epidemics on Networks: From Exact to Approximate Models](https://online.neatra.in/product/mathematics-of-epidemics-on-networks-from-exact-to-approximate-models/): Details the current state-of-the-art in modeling epidemics on networks Offers direct comparison of the main network epidemic models and works out their hierarchy Identifies opportunities for further rigorous mathematical exploration Features practical simulation algorithms written in pseudocode with implemented code available online Includes supplementary material: sn.pub/extras - [Mathematics for Sustainability](https://online.neatra.in/product/mathematics-for-sustainability/): Engages students of all disciplines in a quantitative approach to issues surrounding sustainability Builds mathematical reasoning in the context of important, real-world questions Explores numerous examples from primary and secondary sources, investigating both facts and their communication Empowers students outside the sciences to understand, reason with, and communicate quantitative information Includes supplementary material: sn.pub/extras - [Mathematics Education: A Spectrum of Work in Mathematical Sciences Departments](https://online.neatra.in/product/mathematics-education-a-spectrum-of-work-in-mathematical-sciences-departments/): Many in the mathematics community in the U.S. are involved in mathematics education in various capacities. This book highlights the breadth of the work in K-16 mathematics education done by members of US departments of mathematical sciences. - [Mathematics as a Laboratory Tool: Dynamics, Delays and Noise](https://online.neatra.in/product/mathematics-as-a-laboratory-tool-dynamics-delays-and-noise/): The second edition of Mathematics as a Laboratory Tool reflects the growing impact that computational science is having on the career choices made by undergraduate science and engineering students. The focus is on dynamics and the effects of time delays and stochastic perturbations (“noise”) on the regulation provided by feedback control systems. - [Mathematics (Education) in the Information Age](https://online.neatra.in/product/mathematics-education-in-the-information-age/): Contains contributions by experts in the fields of cognitive science, mathematics, and mathematics education Deals with theoretical issues in mathematics and its connection to artifical intelligence and other new technologies Explores aspects of mathematics education in an ever-changing age shaped by technology Looks at how mathematical proofs are changing with the aid of AI - [Mathematician for All Seasons: Recollections and Notes, Vol. 2 (1945–1968)](https://online.neatra.in/product/mathematician-for-all-seasons-recollections-and-notes-vol-2-1945-1968/): Covers the inside story of Polish mathematics from the first-half of the 20th century An excellent English translation mirrors the subtleties found in Steinhaus' original texts in Polish Features extensive footnotes providing the context for many of the textual references - [Mathematician for All Seasons: Recollections and Notes Vol. 1 (1887-1945)](https://online.neatra.in/product/mathematician-for-all-seasons-recollections-and-notes-vol-1-1887-1945/): Covers the inside story of Polish mathematics from the first-half of the 20th century An excellent English translation mirrors the subtleties found in Steinhaus' original texts in Polish Features extensive footnotes providing the context for many of the textual references - [Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models](https://online.neatra.in/product/mathematical-tools-for-the-study-of-the-incompressible-navier-stokes-equations-andrelated-models/): The book is self-contained The methods presented in the book can be applied to a wide range of domains in nonlinear analysis Some very recent research results are presented along with more classical ones The first chapter of the book presents, with details, the derivation of the equations of fluid mechanics Includes supplementary material: sn.pub/extras - [Mathematical Tools for Neuroscience](https://online.neatra.in/product/mathematical-tools-for-neuroscience/): This book provides a brief but accessible introduction to a set of related, mathematical ideas that have proved useful in understanding the brain and behaviour. If you record the eye movements of a group of people watching a riverside scene then some will look at the river, some will look at the barge by the side of the river, some will look at the people on the bridge, and so on, but if a duck takes off then everybody will look at it. - [Mathematical Structures of Natural Intelligence](https://online.neatra.in/product/mathematical-structures-of-natural-intelligence/): This book uncovers mathematical structures underlying natural intelligence and applies category theory as a modeling language for understanding human cognition, giving readers new insights into the nature of human thought. - [Mathematical Statistics: Essays on History and Methodology](https://online.neatra.in/product/mathematical-statistics-essays-on-history-and-methodology/): This book presents a detailed description of the development of statistical theory. In the mid twentieth century, the development of mathematical statistics underwent an enduring change, due to the advent of more refined mathematical tools. - [Mathematical Modelling in Real Life Problems: Case Studies from ECMI-Modelling Weeks](https://online.neatra.in/product/mathematical-modelling-in-real-life-problems-case-studies-from-ecmi-modelling-weeks/): All problems are real world problems. A wide range of both mathematical techniques and applications, and thus one can find problems suitable for any mathematical background The structure of each chapter as "posed problem" and "proposal of solution" is of great value for teachers that would like to drive modelling seminars, and students that would like to see applications of familiar mathematical tools to exciting real problems - [Mathematical Modelling and Biomechanics of the Brain](https://online.neatra.in/product/mathematical-modelling-and-biomechanics-of-the-brain/): This monograph aims to provide a rigorous yet accessible presentation of some fundamental concepts used in modeling brain mechanics and give a glimpse of the insights and advances that have arisen as a result of the nascent interaction of the mathematical and neurosurgical sciences. - [Mathematical Modelling](https://online.neatra.in/product/mathematical-modelling/): This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. - [Mathematical Modeling, Simulation and Optimization for Power Engineering and Management](https://online.neatra.in/product/mathematical-modeling-simulation-and-optimization-for-power-engineering-and-management/): This edited monograph offers a summary of future mathematical methods supporting the recent energy sector transformation. It collects current contributions on innovative methods and algorithms. - [Mathematical Modeling of Unsteady Inviscid Flows](https://online.neatra.in/product/mathematical-modeling-of-unsteady-inviscid-flows/): Includes a companion set of interactive software for illuminating concepts and results Consolidates many important concepts from a variety of sources Includes an extensive mathematical primer on all related mathematics - [Mathematical Methods of Classical Mechanics](https://online.neatra.in/product/mathematical-methods-of-classical-mechanics/): In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. - [Mathematical Logic](https://online.neatra.in/product/mathematical-logic-3/): From the Introduction: "We shall base our discussion on a set-theoretical foundation like that used in developing analysis, or algebra, or topology. We may consider our task as that of giving a mathematical analysis of the basic concepts of logic and mathematics themselves. Thus we treat mathematical and logical practice as given empirical data and attempt to develop a purely mathematical theory of logic abstracted from these data." - [Mathematical Logic](https://online.neatra.in/product/mathematical-logic-2/): This book gathers together a colorful set of problems on classical Mathematical Logic, selected from over 30 years of teaching. - [Mathematical Logic](https://online.neatra.in/product/mathematical-logic/): Explores additional important decidability results in this thoroughly updated new edition Introduces mathematical logic by analyzing foundational questions on proofs and provability in mathematics Highlights the capabilities and limitations of algorithms and proof methods both in mathematics and computer science Examines advanced topics, such as linking logic with computability and automata theory, as well as the unique role first-order logic plays in logical systems - [Mathematical Immunology of Virus Infections](https://online.neatra.in/product/mathematical-immunology-of-virus-infections/): This monograph concisely but thoroughly introduces the reader to the field of mathematical immunology. The book covers first basic principles of formulating a mathematical model, and an outline on data-driven parameter estimation and model selection. - [Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert](https://online.neatra.in/product/mathematical-geography-in-the-eighteenth-century-euler-lagrange-and-lambert/): This volume presents the beautiful memoirs of Euler, Lagrange and Lambert on geography, translated into English and put into perspective through explanatory and historical essays as well as commentaries and mathematical notes. These works had a major impact on the development of the differential geometry of surfaces and they deserve to be studied, not only as historical documents, but most of all as a rich source of ideas. - [Mathematical Foundations of Time Series Analysis: A Concise Introduction](https://online.neatra.in/product/mathematical-foundations-of-time-series-analysis-a-concise-introduction/): This book provides a concise introduction to the mathematical foundations of time series analysis, with an emphasis on mathematical clarity. The text is reduced to the essential logical core, mostly using the symbolic language of mathematics, thus enabling readers to very quickly grasp the essential reasoning behind time series analysis. - [Mathematical Foundations of Computational Electromagnetism](https://online.neatra.in/product/mathematical-foundations-of-computational-electromagnetism/): Presents extensive treatment of the time-dependent equations Includes the foundations of the analysis of the numerical schemes and computational methods Uses only the “classical” formulation of electromagnetism (i.e. gradient, divergence and curl operators) avoiding the “intrinsic” formulations based on differential geometry - [Mathematical Foundations for Data Analysis](https://online.neatra.in/product/mathematical-foundations-for-data-analysis/): Provides accessible, simplified introduction to core mathematical language and concepts Integrates examples of key concepts through geometric illustrations and Python coding Addresses topics in locality sensitive hashing, graph-structured data, and big data processing as well as basic linear algebra Includes perspectives on ethics in data - [Mathematical Finance](https://online.neatra.in/product/mathematical-finance/): Provides a gentle introduction to the calculus and control for stochastic processes with jumps Covers Lévy and affine processes as well as their applications in financial modelling Compares and explains the rationale behind different valuation and hedging concepts - [Mathematical Economics: Prelude to the Neoclassical Model](https://online.neatra.in/product/mathematical-economics-prelude-to-the-neoclassical-model/): Provides a one-semester introduction to mathematical economics for first year graduate and senior undergraduate students Geared towards helping students develop mathematical maturity in a short period of time Covers expanded topics such as logic and proof, probability theory, and dynamic modeling Includes end-of-chapter questions with solutions Request lecturer material: sn.pub/lecturer-material - [Mathematical Creativity: A Developmental Perspective](https://online.neatra.in/product/mathematical-creativity-a-developmental-perspective/): This book is important and makes a unique contribution in the field of mathematics education and creativity. The book comprises the most recent research by renowned international experts and scholars, as well as a comprehensive up to date literature review. - [Mathematical Control Theory for Stochastic Partial Differential Equations](https://online.neatra.in/product/mathematical-control-theory-for-stochastic-partial-differential-equations/): Control theory for stochastic distributed parameters is a new branch New tools presented in this book Required reading for anyone who wants to study quantum control systems mathematically - [Mathematical Bridges](https://online.neatra.in/product/mathematical-bridges/): Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective. - [Mathematical and Theoretical Neuroscience](https://online.neatra.in/product/mathematical-and-theoretical-neuroscience/): This volume gathers contributions from theoretical, experimental and computational researchers who are working on various topics in theoretical/computational/mathematical neuroscience. The focus is on mathematical modeling, analytical and numerical topics, and statistical analysis in neuroscience with applications. - [Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases](https://online.neatra.in/product/mathematical-and-statistical-modeling-for-emerging-and-re-emerging-infectious-diseases/): The contributions by epidemic modeling experts describe how mathematical models and statistical forecasting are created to capture the most important aspects of an emerging epidemic. - [Mathematical and Statistical Methods for Actuarial Sciences and Finance: MAF 2016](https://online.neatra.in/product/mathematical-and-statistical-methods-for-actuarial-sciences-and-finance-maf-2016/): This volume gathers selected peer-reviewed papers presented at the international conference "MAF 2016 – Mathematical and Statistical Methods for Actuarial Sciences and Finance”, held in Paris (France) at the Université Paris-Dauphine from March 30 to April 1, 2016. - [Mathematical and Computational Studies on Progress, Prognosis, Prevention and Panacea of Breast Cancer](https://online.neatra.in/product/mathematical-and-computational-studies-on-progress-prognosis-prevention-and-panacea-of-breast-cancer/): This book’s aim is to study the mathematical and computational models to analyze the progress, prognosis, prevention, and panacea of breast cancer. The book discusses application of Markov chains and transient mappings, Charlie–Simpson numerical algorithm, models represented by nonlinear reaction–diffusion-type partial differential equations, and related techniques. - [Mathematical and Computational Models of Flows and Waves in Geophysics](https://online.neatra.in/product/mathematical-and-computational-models-of-flows-and-waves-in-geophysics/): This volume proposes an integral approach to studying the geophysics of Earth. It is motivated by a variety of phenomena from nature with deep and direct impacts in our lives. - [Mathematical Analysis in Interdisciplinary Research](https://online.neatra.in/product/mathematical-analysis-in-interdisciplinary-research/): This contributed volume provides an extensive account of research and expository papers in a broad domain of mathematical analysis and its various applications to a multitude of fields. - [Mathematical Analysis II](https://online.neatra.in/product/mathematical-analysis-ii/): Thoroughness of coverage, from elementary to very advanced Clarity of exposition Originality and variety of exercises and examples Complete logical rigor of discussion Various new appendices Useful not only to mathematicians, but also to physicists and engineers Includes supplementary material: sn.pub/extras - [Mathematical Analysis I](https://online.neatra.in/product/mathematical-analysis-i/): Thoroughness of coverage, from elementary to very advanced Clarity of exposition Originality and variety of exercises and examples Complete logical rigor of discussion Various new appendices Useful not only to mathematicians, but also to physicists and engineers Includes supplementary material: sn.pub/extras - [Mathematical Analysis and Applications](https://online.neatra.in/product/mathematical-analysis-and-applications/): An international community of experts scientists comprise the research and survey contributions in this volume which covers a broad spectrum of areas in which analysis plays a central role. - [Math for the Digital Factory](https://online.neatra.in/product/math-for-the-digital-factory/): First book emphasizing the strong link between digital manufacturing and mathematics Contributions from mathematics, engineering and industry, including industrial case studies - [Mastering Calculus through Practice: A Study Guide with over 300 Solved Exercises](https://online.neatra.in/product/mastering-calculus-through-practice-a-study-guide-with-over-300-solved-exercises/): This textbook covers key topics of Elementary Calculus through selected exercises, in a sequence that facilitates development of problem-solving abilities and techniques. It opens with an introduction to fundamental facts of mathematical logic, set theory, and pre-calculus, extending toward functions, limits, derivatives, and integrals. - [Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series](https://online.neatra.in/product/martingale-hardy-spaces-and-summability-of-one-dimensional-vilenkin-fourier-series/): The classical theory of Fourier series deals with decomposition of a function into sinusoidal waves. Unlike these continuous waves the Vilenkin (Walsh) functions are rectangular waves. - [Markov Renewal and Piecewise Deterministic Processes](https://online.neatra.in/product/markov-renewal-and-piecewise-deterministic-processes/): Addresses both theory and applications Focuses on an a priori easier model (the CSMPs) and then deduces the results for the PDMPs Analyses what makes a result work and examines specific features only when necessary to obtain more precise results Presents approach to students and includes an introduction to numerical schemes written for the uninitiated - [Markov Processes and Quantum Theory](https://online.neatra.in/product/markov-processes-and-quantum-theory/): This book discusses quantum theory as the theory of random (Brownian) motion of small particles (electrons etc.) under external forces. Implying that the Schrödinger equation is a complex-valued evolution equation and the Schrödinger function is a complex-valued evolution function, important applications are given. - [Markov Chains](https://online.neatra.in/product/markov-chains/): This 2nd edition is a thoroughly revised and augmented version of the book with the same title published in 1999. The author begins with the elementary theory of Markov chains and very progressively brings the reader to more advanced topics. - [Majorization and the Lorenz Order with Applications in Applied Mathematics and Economics](https://online.neatra.in/product/majorization-and-the-lorenz-order-with-applications-in-applied-mathematics-and-economics/): This book was written to serve as a graduate-level textbook for special topics classes in mathematics, statistics, and economics, to introduce these topics to other researchers, and for use in short courses. - [Magic Squares](https://online.neatra.in/product/magic-squares/): The science of magic squares witnessed an important development in the Islamic world during the Middle Ages, with a great variety of construction methods being created and ameliorated. - [Magic and Antimagic Graphs: Attributes, Observations and Challenges in Graph Labelings](https://online.neatra.in/product/magic-and-antimagic-graphs-attributes-observations-and-challenges-in-graph-labelings/): Collects the most significant results in magic and antimagic labeling, and presents them in a logical and ordered fashion Includes easy to follow proofs to identify strategies and techniques More than 150 illustrations of graphs with labelings to aid comprehension - [Lyapunov Exponents](https://online.neatra.in/product/lyapunov-exponents/): This book offers a self-contained introduction to the theory of Lyapunov exponents and its applications, mainly in connection with hyperbolicity, ergodic theory and multifractal analysis. It discusses the foundations and some of the main results and main techniques in the area, while also highlighting selected topics of current research interest. - [Logical Studies of Paraconsistent Reasoning in Science and Mathematics](https://online.neatra.in/product/logical-studies-of-paraconsistent-reasoning-in-science-and-mathematics/): This book covers work written by leading scholars from different schools within the research area of paraconsistency. The authors critically investigate how contemporary paraconsistent logics can be used to better understand human reasoning in science and mathematics. - [Logical Foundations of Mathematics and Computational Complexity: A Gentle Introduction](https://online.neatra.in/product/logical-foundations-of-mathematics-and-computational-complexity-a-gentle-introduction/): Presents a wide range of results in logic and computational complexity Explains the topic informally and then in more detail for the advanced reader Presents the ideas behind the theoretical concepts Includes supplementary material: sn.pub/extras - [Logic and Implication: An Introduction to the General Algebraic Study of Non-classical Logics](https://online.neatra.in/product/logic-and-implication-an-introduction-to-the-general-algebraic-study-of-non-classical-logics/): This monograph presents a general theory of weakly implicative logics, a family covering a vast number of non-classical logics studied in the literature, concentrating mainly on the abstract study of the relationship between logics and their algebraic semantics. - [Loewner's Theorem on Monotone Matrix Functions](https://online.neatra.in/product/loewners-theorem-on-monotone-matrix-functions/): First book in decades to discuss a variety of proofs of Loewner's Theorem May be used as a text for a specialized graduate analysis course Acts as a starting point for discussing a variety of methods in analysis - [Locally Mixed Symmetric Spaces](https://online.neatra.in/product/locally-mixed-symmetric-spaces/): Introduces locally mixed symmetric spaces with an emphasis on geometric concepts and relations Focuses on examples, avoiding technicalities and assuming only a working knowledge of real Lie groups Includes two chapters on Kuga fiber spaces and elliptic surfaces - [Locally Convex Spaces](https://online.neatra.in/product/locally-convex-spaces/): For most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research. This graduate text, while focusing on locally convex topological vector spaces, is intended to cover most of the general theory needed for application to other areas of analysis. - [Local Homotopy Theory](https://online.neatra.in/product/local-homotopy-theory/): This monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motivic homotopy theory and the theory of topological modular forms in stable homotopy theory. - [Local Fields](https://online.neatra.in/product/local-fields/): The goal of this book is to present local class field theory from the cohomo­ logical point of view, following the method inaugurated by Hochschild and developed by Artin-Tate. - [Linearization of Nonlinear Control Systems](https://online.neatra.in/product/linearization-of-nonlinear-control-systems/): This textbook helps graduate level student to understand easily the linearization of nonlinear control system. Differential geometry is essential to understand the linearization problems of the control nonlinear systems. - [Linear Topological Spaces](https://online.neatra.in/product/linear-topological-spaces/) - [Linear Systems](https://online.neatra.in/product/linear-systems/): This textbook provides a mathematical introduction to linear systems, with a focus on the continuous-time models that arise in engineering applications such as electrical circuits and signal processing. The book introduces linear systems via block diagrams and the theory of the Laplace transform, using basic complex analysis. - [Linear Representations of Finite Groups](https://online.neatra.in/product/linear-representations-of-finite-groups/): This book consists of three parts, rather different in level and purpose: The first part was originally written for quantum chemists. - [Numerical Simulation in Physics and Engineering: Trends and Applications: Lecture Notes of the XVIII ‘Jacques-Louis Lions’ Spanish-French School](https://online.neatra.in/product/numerical-simulation-in-physics-and-engineering-trends-and-applications-lecture-notes-of-the-xviii-jacques-louis-lions-spanish-french-school/): Highlighted research topics of mathematical modeling and numerical simulation, developed by French and Spanish scientists Showing current applications of numerical simulation Addressed to researchers and practicioners - [Numerical Semigroups](https://online.neatra.in/product/numerical-semigroups/): This book presents the state of the art on numerical semigroups and related subjects, offering different perspectives on research in the field and including results and examples that are very difficult to find in a structured exposition elsewhere. - [Numerical Optimization with Computational Errors](https://online.neatra.in/product/numerical-optimization-with-computational-errors/): This book studies the approximate solutions of optimization problems in the presence of computational errors. A number of results are presented on the convergence behavior of algorithms in a Hilbert space; these algorithms are examined taking into account computational errors. - [Numerical Nonsmooth Optimization: State of the Art Algorithms](https://online.neatra.in/product/numerical-nonsmooth-optimization-state-of-the-art-algorithms/): Solving nonsmooth optimization (NSO) problems is critical in many practical applications and real-world modeling systems. The aim of this book is to survey various numerical methods for solving NSO problems and to provide an overview of the latest developments in the field. - [Numerical Methods of Mathematics Implemented in Fortran](https://online.neatra.in/product/numerical-methods-of-mathematics-implemented-in-fortran/): Provides application-oriented numerical methods useful for scientific computation Equips readers to use Fortran for writing the computer codes Uses Fortran subroutines as essential procedures for direct application to practical cases Explains the method–algorithm–code approach for learning the techniques of scientific computation Offers detailed mathematical proofs of most of the computational methods Presents short historical sketches of past mathematicians who often made their pioneering discoveries in difficult existential - [Numerical Methods for Stochastic Partial Differential Equations with White Noise](https://online.neatra.in/product/numerical-methods-for-stochastic-partial-differential-equations-with-white-noise/): This book covers numerical methods for stochastic partial differential equations with white noise using the framework of Wong-Zakai approximation. The book begins with some motivational and background material in the introductory chapters and is divided into three parts. - [Numerical Methods for Nonlinear Partial Differential Equations](https://online.neatra.in/product/numerical-methods-for-nonlinear-partial-differential-equations/): The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. - [Numerical Methods for Fractional Differentiation](https://online.neatra.in/product/numerical-methods-for-fractional-differentiation/): Presents numerical methods for solving partial differential and integral equations, as well as ordinary differential and integral equations Discusses Caputo–Fabrizio differential and integral operators, Riemann–Liouville fractional operators, and the Atangana–Baleanu fractional operators Helps in solving problems arising in many fields of science, technology, and engineering, such as epidemiology, chaos, solitons, fractals, diffusion, groundwater, and fluid mechanics - [Numerical Methods for Elliptic and Parabolic Partial Differential Equations: With contributions by Andreas Rupp](https://online.neatra.in/product/numerical-methods-for-elliptic-and-parabolic-partial-differential-equations-with-contributions-by-andreas-rupp/): Provides application orientated introduction to the numerical methods for partial differential equations Examines modern topics, including cell-centered finite volume methods and methods of convection-dominated problems Includes detailed illustrations and extensive exercises throughout - [Numerical Methods and Optimization](https://online.neatra.in/product/numerical-methods-and-optimization/): This text, covering a very large span of numerical methods and optimization, is primarily aimed at advanced undergraduate and graduate students. A background in calculus and linear algebra are the only mathematical requirements. - [Numerical Mathematics and Advanced Applications ENUMATH 2019: European Conference, Egmond aan Zee, The Netherlands, September 30 - October 4](https://online.neatra.in/product/numerical-mathematics-and-advanced-applications-enumath-2019-european-conference-egmond-aan-zee-the-netherlands-september-30-october-4/): Presents innovative research in numerical mathematics Expounds novel applications from leading experts in the fields of numerical analysis and computational mathematics Includes a collection of diverse authors from backgrounds in mathematics and engineering - [Numerical Mathematics and Advanced Applications ENUMATH 2015](https://online.neatra.in/product/numerical-mathematics-and-advanced-applications-enumath-2015/): The European Conference on Numerical Mathematics and Advanced Applications (ENUMATH), held every 2 years, provides a forum for discussing recent advances in and aspects of numerical mathematics and scientific and industrial applications. The previous ENUMATH meetings took place in Paris (1995), Heidelberg (1997), Jyvaskyla (1999), Ischia (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011) and Lausanne (2013). - [Numerical Mathematics and Advanced Applications - ENUMATH 2013: Proceedings of ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013](https://online.neatra.in/product/numerical-mathematics-and-advanced-applications-enumath-2013-proceedings-of-enumath-2013-the-10th-european-conference-on-numerical-mathematics-and-advanced-applications-lausanne-august-2013/): Includes supplementary material: sn.pub/extras - [Numerical Linear Algebra and Matrix Factorizations](https://online.neatra.in/product/numerical-linear-algebra-and-matrix-factorizations/): After reading this book, students should be able to analyze computational problems in linear algebra such as linear systems, least squares- and eigenvalue problems, and to develop their own algorithms for solving them. Since these problems can be large and difficult to handle, much can be gained by understanding and taking advantage of special structures. - [Numerical Infinities and Infinitesimals in Optimization](https://online.neatra.in/product/numerical-infinities-and-infinitesimals-in-optimization/): This book provides a friendly introduction to the paradigm and proposes a broad panorama of killing applications of the Infinity Computer in optimization: radically new numerical algorithms, great theoretical insights, efficient software implementations, and interesting practical case studies. - [Numerical Approximation of Partial Differential Equations](https://online.neatra.in/product/numerical-approximation-of-partial-differential-equations/): Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum mechanics. - [Numerical Analysis Using Sage](https://online.neatra.in/product/numerical-analysis-using-sage/): This is the first numerical analysis text to use Sage for the implementation of algorithms and can be used in a one-semester course for undergraduates in mathematics, math education, computer science/information technology, engineering, and physical sciences. - [Numerical Analysis of Compressible Fluid Flows](https://online.neatra.in/product/numerical-analysis-of-compressible-fluid-flows/): This book is devoted to the numerical analysis of compressible fluids in the spirit of the celebrated Lax equivalence theorem. The text is aimed at graduate students in mathematics and fluid dynamics, researchers in applied mathematics, numerical analysis and scientific computing, and engineers and physicists. - [Numerical Analysis](https://online.neatra.in/product/numerical-analysis/): Good introduction to an area experiencing rapid development for those in math, physics, and engineering. Gives a solid foundation by restricting the presentation to the basic principles and procedures, as well as the primary numerical algorithms. Includes the necessary functional analytic framework for a solid mathematical foundation in the subject. Gives particular emphasis to the question of stability. Presented in a concise and easily understandable fashion. - [Number Theory: Volume II: Analytic and Modern Tools](https://online.neatra.in/product/number-theory-volume-ii-analytic-and-modern-tools/): Unique collection of topics centered around a unifying topic More than 350 exercises Text is largely self-contained - [Number Theory: Volume I: Tools and Diophantine Equations](https://online.neatra.in/product/number-theory-volume-i-tools-and-diophantine-equations/): Unique collection of topics centered around a unifying topic More than 350 exercises Text is largely self-contained - [Number Theory in Function Fields](https://online.neatra.in/product/number-theory-in-function-fields/): Includes supplementary material: sn.pub/extras - [Novelty, Information and Surprise](https://online.neatra.in/product/novelty-information-and-surprise/): This revised edition offers an approach to information theory that is more general than the classical approach of Shannon. Classically, information is defined for an alphabet of symbols or for a set of mutually exclusive propositions (a partition of the probability space ?) with corresponding probabilities adding up to 1. - [Novel Mathematics Inspired by Industrial Challenges](https://online.neatra.in/product/novel-mathematics-inspired-by-industrial-challenges/): This contributed volume convenes a rich selection of works with a focus on innovative mathematical methods with applications in real-world, industrial problems. - [Notes on Real Analysis and Measure Theory: Fine Properties of Real Sets and Functions](https://online.neatra.in/product/notes-on-real-analysis-and-measure-theory-fine-properties-of-real-sets-and-functions/): This monograph gives the reader an up-to-date account of the fine properties of real-valued functions and measures. The unifying theme of the book is the notion of nonmeasurability, from which one gets a full understanding of the structure of the subsets of the real line and the maps between them. - [Nonuniformly Hyperbolic Attractors](https://online.neatra.in/product/nonuniformly-hyperbolic-attractors/): Provides a self-contained introduction to the theory of Young towers for dynamical systems with inducing schemes Collects recent results on nonuniformly expanding maps and partially hyperbolic diffeomorphisms Includes a detailed account of Gibbs–Markov maps - [Nonstandard Analysis for the Working Mathematician](https://online.neatra.in/product/nonstandard-analysis-for-the-working-mathematician/): Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. - [Non-Smooth and Complementarity-Based Distributed Parameter Systems](https://online.neatra.in/product/non-smooth-and-complementarity-based-distributed-parameter-systems/): Many of the most challenging problems in the applied sciences involve non-differentiable structures as well as partial differential operators, thus leading to non-smooth distributed parameter systems. This edited volume aims to establish a theoretical and numerical foundation and develop new algorithmic paradigms for the treatment of non-smooth phenomena and associated parameter influences. - [Nonsmooth Analysis and Control Theory](https://online.neatra.in/product/nonsmooth-analysis-and-control-theory/): In the last decades the subject of nonsmooth analysis has grown rapidly due to the recognition that nondifferentiable phenomena are more widespread, and play a more important role, than had been thought. In recent years, it has come to play a role in functional analysis, optimization, optimal design, mechanics and plasticity, differential equations, control theory, and, increasingly, in analysis. - [Non-Local Cell Adhesion Models](https://online.neatra.in/product/non-local-cell-adhesion-models/): Presents the first ever application of abstract bifurcation theory to a non-local problem Includes leading research on pattern formation of non-local models Describes in detail the development of basic properties of nonlocal adhesion models Defines biological non-local boundary conditions - [Nonlocal and Fractional Operators](https://online.neatra.in/product/nonlocal-and-fractional-operators/): Numerous step-by-step tutorials help the reader to learn quickly A special chapter on next generation Flash prepares readers for the future Includes ten tips on how to protect flash sites from hackers - [Nonlinear Wave Equations](https://online.neatra.in/product/nonlinear-wave-equations/): This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. - [Nonlinear Water Waves](https://online.neatra.in/product/nonlinear-water-waves/): The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable. This is not surprising when one considers the highly diverse and intricate physical phenomena which may be exhibited by a given body of water. - [Nonlinear Ordinary Differential Equations: Analytical Approximation and Numerical Methods](https://online.neatra.in/product/nonlinear-ordinary-differential-equations-analytical-approximation-and-numerical-methods/): The book discusses the solutions to nonlinear ordinary differential equations (ODEs) using analytical and numerical approximation methods. Recently, analytical approximation methods have been largely used in solving linear and nonlinear lower-order ODEs. - [Nonlinear Optimization: Methods and Applications](https://online.neatra.in/product/nonlinear-optimization-methods-and-applications/): Presents a broad range of nonlinear programming applications from a diverse mix of fields Includes an in-depth discussion of the main solution techniques Each method is formally described, and then fully solved using a numerical example - [Nonlinear Expectations and Stochastic Calculus under Uncertainty: with Robust CLT and G-Brownian Motion](https://online.neatra.in/product/nonlinear-expectations-and-stochastic-calculus-under-uncertainty-with-robust-clt-and-g-brownian-motion/): Provides new notions and results of the theory of nonlinear expectations and related stochastic analysis Summarizes the latest studies on G-Martingale representation theorem and Itô’s integrals Includes exercises that help reader master and learn in each chapter - [Nonlinear Dynamics in Biological Systems](https://online.neatra.in/product/nonlinear-dynamics-in-biological-systems/): This book presents recent research results relating to applications of nonlinear dynamics, focusing specifically on four topics of wide interest: heart dynamics, DNA/RNA, cell mobility, and proteins. - [Nonlinear Dynamics and Complexity: Mathematical Modelling of Real-World Problems](https://online.neatra.in/product/nonlinear-dynamics-and-complexity-mathematical-modelling-of-real-world-problems/): This book collects a range of contributions on nonlinear dynamics and complexity, providing a systematic summary of recent developments, applications, and overall advances in nonlinearity, chaos, and complexity. - [Nonlinear Dispersive Partial Differential Equations and Inverse Scattering](https://online.neatra.in/product/nonlinear-dispersive-partial-differential-equations-and-inverse-scattering/): This volume contains lectures and invited papers from the Focus Program on 'Nonlinear Dispersive Partial Differential Equations and Inverse Scattering' held at the Fields Institute from July 31-August 18, 2017. The conference brought together researchers in completely integrable systems and PDE with the goal of advancing the understanding of qualitative and long-time behavior in dispersive nonlinear equations. - [Nonlinear Dispersive Equations](https://online.neatra.in/product/nonlinear-dispersive-equations/): Nonlinear Dispersive Equations are partial differential equations that naturally arise in physical settings where dispersion dominates dissipation, notably hydrodynamics, nonlinear optics, plasma physics and Bose–Einstein condensates. - [Nonlinear Differential Equations in Physics: Novel Methods for Finding Solutions](https://online.neatra.in/product/nonlinear-differential-equations-in-physics-novel-methods-for-finding-solutions/): This book discusses various novel analytical and numerical methods for solving partial and fractional differential equations. Moreover, it presents selected numerical methods for solving stochastic point kinetic equations in nuclear reactor dynamics by using Euler–Maruyama and strong-order Taylor numerical methods. - [Nonlinear Combinatorial Optimization](https://online.neatra.in/product/nonlinear-combinatorial-optimization/): Graduate students and researchers in applied mathematics, optimization, engineering, computer science, and management science will find this book a useful reference which provides an introduction to applications and fundamental theories in nonlinear combinatorial optimization. - [Nonlinear Analysis, Differential Equations, and Applications](https://online.neatra.in/product/nonlinear-analysis-differential-equations-and-applications/): Self-contained presentation of results Particularly useful for graduate students and researchers conducting interdisciplinary research The detailed results presented will appeal to a wide readership - [Non-Instantaneous Impulses in Differential Equations](https://online.neatra.in/product/non-instantaneous-impulses-in-differential-equations/): This monograph is the first published book devoted to the theory of differential equations with non-instantaneous impulses. It aims to equip the reader with mathematical models and theory behind real life processes in physics, biology, population dynamics, ecology and pharmacokinetics. - [Nonholonomic Mechanics and Control](https://online.neatra.in/product/nonholonomic-mechanics-and-control/): This book explores some of the connections between control theory and geometric mechanics| that is, control theory is linked with a geometric view of classical mechanics in both its Lagrangian and Hamiltonian formulations and in particular with the theory of mechanical systems subject to motion constraints. - [Non-Cooperative Game Theory](https://online.neatra.in/product/non-cooperative-game-theory/): This is a textbook for university juniors, seniors, and graduate students majoring in economics, applied mathematics, and related fields. Each chapter is structured so that a core concept of that chapter is presented with motivations, useful applications are given, and related advanced topics are discussed for future study. - [Non-commutative Multiple-Valued Logic Algebras](https://online.neatra.in/product/non-commutative-multiple-valued-logic-algebras/): This monograph provides a self-contained and easy-to-read introduction to non-commutative multiple-valued logic algebras| a subject which has attracted much interest in the past few years because of its impact on information science, artificial intelligence and other subjects. - [Noncommutative Algebra](https://online.neatra.in/product/noncommutative-algebra/): This book is meant to be used by beginning graduate students. It covers basic material needed by any student of algebra, and is essential to those specializing in ring theory, homological algebra, representation theory and K-theory, among others. It will also be of interest to students of algebraic topology, functional analysis, differential geometry and number theory. - [Noncausal Stochastic Calculus](https://online.neatra.in/product/noncausal-stochastic-calculus/): This book presents an elementary introduction to the theory of noncausal stochastic calculus that arises as a natural alternative to the standard theory of stochastic calculus founded in 1944 by Professor Kiyoshi Itô. As is generally known, Itô Calculus is essentially based on the "hypothesis of causality", asking random functions to be adapted to a natural filtration generated by Brownian motion or more generally by square integrable martingale. - [Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control](https://online.neatra.in/product/nonautonomous-linear-hamiltonian-systems-oscillation-spectral-theory-and-control/): This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence. Particular attention is given to the oscillation properties of the solutions as well as to a spectral theory appropriate for such systems. - [New Trends in Computational Vision and Bio-inspired Computing: Selected works presented at the ICCVBIC 2018, Coimbatore, India](https://online.neatra.in/product/new-trends-in-computational-vision-and-bio-inspired-computing-selected-works-presented-at-the-iccvbic-2018-coimbatore-india/): This volume gathers selected, peer-reviewed original contributions presented at the International Conference on Computational Vision and Bio-inspired Computing (ICCVBIC) conference which was held in Coimbatore, India, on November 29-30, 2018. The works included here offer a rich and diverse sampling of recent developments in the fields of Computational Vision, Fuzzy, Image Processing and Bio-inspired Computing. - [New Trends in Approximation Theory: In Memory of André Boivin](https://online.neatra.in/product/new-trends-in-approximation-theory-in-memory-of-andre-boivin/): The international conference entitled "New Trends in Approximation Theory" was held at the Fields Institute, in Toronto, from July 25 until July 29, 2016. The conference was fondly dedicated to the memory of our unique friend and colleague, André Boivin, who gave tireless service in Canada until his very last moment of his life in October 2014. - [New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing, and Multifractal Analysis](https://online.neatra.in/product/new-trends-in-applied-harmonic-analysis-sparse-representations-compressed-sensing-and-multifractal-analysis/): This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". - [New Trends in Applied Harmonic Analysis, Volume 2](https://online.neatra.in/product/new-trends-in-applied-harmonic-analysis-volume-2/): This contributed volume collects papers based on courses and talks given at the 2017 CIMPA school Harmonic Analysis, Geometric Measure Theory and Applications, which took place at the University of Buenos Aires in August 2017. - [New Sinc Methods of Numerical Analysis: Festschrift in Honor of Frank Stenger's 80th Birthday](https://online.neatra.in/product/new-sinc-methods-of-numerical-analysis-festschrift-in-honor-of-frank-stengers-80th-birthday/): Introduces new exponentially convergent methods for solving multidimensional PDE, for indefinite integration and solution of indefinite convolution problems over finite or infinite intervals, for inverting Laplace transforms, and for inversion of Fourier transforms Presents new easy to apply and exponentially convergent methods of interpolation, quadrature and Hilbert transforms, over all intervals, finite, semi-infinite, infinite, or even arcs Includes a method of solution of Wiener-Hopf problems that works in all cases and enables circumvention of the popular factorization procedure that seldom works in applications Contains new methods of solving ODEs, PDEs, etc. problems over infinite regions as well as easy-to-apply methods for solving problems via use of polynomials - [New Perspectives in Algebra, Topology and Categories: Summer School, Louvain-la-Neuve, Belgium, September 12-15, 2018 and September 11-14, 2019](https://online.neatra.in/product/new-perspectives-in-algebra-topology-and-categories-summer-school-louvain-la-neuve-belgium-september-12-15-2018-and-september-11-14-2019/): Provides an introduction to some key subjects in algebra and topology Consists of comprehensive texts on the preliminaries for several advanced theories in algebra and topology Helps young researchers to quickly get into the subject - [New Methods and Applications in Multiple Attribute Decision Making (MADM)](https://online.neatra.in/product/new-methods-and-applications-in-multiple-attribute-decision-making-madm/): The book presents the most up-to-date coverage of MADM available Provides brief, understandable explanations of 27 different methods Authors have led the research activity on MADM methods - [New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative](https://online.neatra.in/product/new-directions-in-function-theory-from-complex-to-hypercomplex-to-non-commutative/): This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis. - [New Challenges in Grid Generation and Adaptivity for Scientific Computing](https://online.neatra.in/product/new-challenges-in-grid-generation-and-adaptivity-for-scientific-computing/): This volume collects selected contributions from the “Fourth Tetrahedron Workshop on Grid Generation for Numerical Computations”, which was held in Verbania, Italy in July 2013. The previous editions of this Workshop were hosted by the Weierstrass Institute in Berlin (2005), by INRIA Rocquencourt in Paris (2007), and by Swansea University (2010). - [Nevanlinna Theory in Several Complex Variables and Diophantine Approximation](https://online.neatra.in/product/nevanlinna-theory-in-several-complex-variables-and-diophantine-approximation/): This is an important state-of-the-art book on Nevanlinna theory in higher dimension and the relations with Diophantine approximation theory The contents include materials that cannot be easily found in other sources The treatment and proofs are given in a self-contained manner except for some results over number fields in Chap. 9, suitable for graduate students and interested researchers, specialists and non-specialists alike Includes supplementary material: sn.pub/extras - [Neoclassical Theory of Electromagnetic Interactions: A Single Theory for Macroscopic and Microscopic Scales](https://online.neatra.in/product/neoclassical-theory-of-electromagnetic-interactions-a-single-theory-for-macroscopic-and-microscopic-scales/): In this monograph, the authors present their recently developed theory of electromagnetic interactions. This neoclassical approach extends the classical electromagnetic theory down to atomic scales and allows the explanation of various non-classical phenomena in the same framework. - [Navier–Stokes Equations on R3 × [0, T]](https://online.neatra.in/product/navier-stokes-equations-on-r3-x-0-t/): In this monograph, leading researchers in the world of numerical analysis, partial differential equations, and hard computational problems study the properties of solutions of the Navier–Stokes partial differential equations on (x, y, z, t) ? ?3 × [0, T]. Initially converting the PDE to a system of integral equations, the authors then describe spaces A of analytic functions that house solutions of this equation, and show that these spaces of analytic functions are dense in the spaces S of rapidly decreasing and infinitely differentiable functions. - [Navier–Stokes Equations](https://online.neatra.in/product/navier-stokes-equations/): This volume is devoted to the study of the Navier–Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. - [Murray Gell-Mann and the Physics of Quarks](https://online.neatra.in/product/murray-gell-mann-and-the-physics-of-quarks/): Murray Gell-Mann, Physics Nobel Prize Laureate in 1969 is known for his theoretical work on elementary particle physics and the introduction of quarks and together with H. Fritzsch the “Quantum Chromodynamics”. - [Multivariate, Multilinear and Mixed Linear Models](https://online.neatra.in/product/multivariate-multilinear-and-mixed-linear-models/): This book presents the latest findings on statistical inference in multivariate, multilinear and mixed linear models, providing a holistic presentation of the subject. - [Multivariate Wavelet Frames](https://online.neatra.in/product/multivariate-wavelet-frames/): This book presents a systematic study of multivariate wavelet frames with matrix dilation, in particular, orthogonal and bi-orthogonal bases, which are a special case of frames. Further, it provides algorithmic methods for the construction of dual and tight wavelet frames with a desirable approximation order, namely compactly supported wavelet frames, which are commonly required by engineers. - [Multivariate Time Series With Linear State Space Structure](https://online.neatra.in/product/multivariate-time-series-with-linear-state-space-structure/): This book presents a comprehensive study of multivariate time series with linear state space structure. The emphasis is put on both the clarity of the theoretical concepts and on efficient algorithms for implementing the theory. - [Multivariate Prediction, de Branges Spaces, and Related Extension and Inverse Problems](https://online.neatra.in/product/multivariate-prediction-de-branges-spaces-and-related-extension-and-inverse-problems/): This monograph deals primarily with the prediction of vector valued stochastic processes that are either weakly stationary, or have weakly stationary increments, from finite segments of their past. - [Multivariate Data Analysis on Matrix Manifolds: (with Manopt)](https://online.neatra.in/product/multivariate-data-analysis-on-matrix-manifolds-with-manopt/): Integrates multivariate data analysis with Riemannian geometry Provides a unified treatment of several MDA techniques Incorporates new tools and technology into current theory of MDA Includes Manpot codes which can be directly used to solve a number of problems or be used as templates to create new codes - [Multivariable Dynamic Calculus on Time Scales](https://online.neatra.in/product/multivariable-dynamic-calculus-on-time-scales/): This book offers the reader an overview of recent developments of multivariable dynamic calculus on time scales, taking readers beyond the traditional calculus texts. - [Multivariable Calculus with Applications](https://online.neatra.in/product/multivariable-calculus-with-applications/): Describes theoretical as well as practical aspects of multivariable calculus Correlates concepts and results of multivariable calculus with their counterparts in one-variable calculus Presents a wealth of problems varying degrees of difficulty Includes supplementary material: sn.pub/extras - [Multi-Valued Variational Inequalities and Inclusions](https://online.neatra.in/product/multi-valued-variational-inequalities-and-inclusions/): Develops a general sub-supersolution method for stationary and evolutionary multi-valued variational inequalities Provides a self-contained exposition of existence, comparison and enclosure principles Accessible to a wide audience of graduate students and researchers - [Multiple Time Scale Dynamics](https://online.neatra.in/product/multiple-time-scale-dynamics/): Interdisciplinary approach to multiple time scale dynamics Includes many exercises and direct transition to research-level questions Links different mathematical areas and different viewpoints Highly illustrated - [Multiple Criteria Decision Aid: Methods, Examples and Python Implementations](https://online.neatra.in/product/multiple-criteria-decision-aid-methods-examples-and-python-implementations/): Brings readers to a full understanding of multiple criteria decision making methodologies Provides Python code for all methods Features guidelines for selecting an appropriate method for specific decision problems Compares key multiple criteria decision aid methods and approaches - [Multidisciplinary Design Optimization and Its Application in Deep Manned Submersible Design](https://online.neatra.in/product/multidisciplinary-design-optimization-and-its-application-in-deep-manned-submersible-design/): This book investigates Reliability-based Multidisciplinary Design Optimization (RBMDO) theory and its application in the design of deep manned submersibles (DMSs). Multidisciplinary Design Optimization (MDO) is an effective design method for large engineering systems like aircraft, warships, and satellites, which require designers and engineers from various disciplines to cooperate with each other. - [Multidimensional Integral Representations: Problems of Analytic Continuation](https://online.neatra.in/product/multidimensional-integral-representations-problems-of-analytic-continuation/): The monograph is devoted to integral representations for holomorphic functions in several complex variables, such as Bochner-Martinelli, Cauchy-Fantappiè, Koppelman, multidimensional logarithmic residue etc., and their boundary properties. The applications considered are problems of analytic continuation of functions from the boundary of a bounded domain in C^n. - [Multi-dimensional Control Problems: Robust Approach](https://online.neatra.in/product/multi-dimensional-control-problems-robust-approach/): This book deals with several types of multi-dimensional control problems in the face of data uncertainty for vector cases—multi-dimensional multi-objective control problem with uncertain objective functionals, uncertain constraint functionals, and uncertain objective as well as constraint functionals, uncertain multi-dimensional multi-objective control problem with semi-infinite constraints, uncertain dual multi-dimensional multi-objective variational control problem, and second-order PDE&PDI constrained robust optimization problem. - [Multicriteria Portfolio Construction with Python](https://online.neatra.in/product/multicriteria-portfolio-construction-with-python/): This book covers topics in portfolio management and multicriteria decision analysis (MCDA), presenting a transparent and unified methodology for the portfolio construction process. The most important feature of the book includes the proposed methodological framework that integrates two individual subsystems, the portfolio selection subsystem and the portfolio optimization subsystem. - [Motivic Integration](https://online.neatra.in/product/motivic-integration/): Includes the first complete treatment of geometric motivic integration in a monograph Covers the construction of arc schemes and Greenberg schemes Provides a complete discussion of questions concerning the Grothendieck ring of varieties and its algebraic structure - [Morphological Models of Random Structures](https://online.neatra.in/product/morphological-models-of-random-structures/): Most basic models of random structures are thoroughly investigated and illustrated, starting from their mathematical construction, their probabilistic properties, and their identification from data A comprehensive group of models and their links are available to the reader, helping him to develop his own research. The presentation is completed by exercises Applications of random models to the physics of random media will be helpful to researchers and engineers for their understanding and predictive use of well established and some new models of microstructures - [More Calculus of a Single Variable](https://online.neatra.in/product/more-calculus-of-a-single-variable/): This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus — such as the real numbers, differentiation and integration, mean value theorems, the exponential function — are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for ?. - [Mordell–Weil Lattices](https://online.neatra.in/product/mordell-weil-lattices/): Is the first comprehensive introduction of Mordell–Weil lattices that does not assume extensive prerequisites Shows that the theory of Mordell–Weil lattices itself is very powerful yet relatively easy to master and apply Demonstrates with many examples and applications how Mordell–Weil lattices connect with several areas of mathematics - [Monomial Ideals](https://online.neatra.in/product/monomial-ideals/): Theory is complemented by a number of examples and exercises throughout, bringing the reader to a deeper understanding of concepts explored within the text Provides a quick and useful introduction to research spanning the fields of combinatorial and computational commutative algebra, with a special focus on monomial ideals Only a basic knowledge of commutative algebra is required, making this accessible to specialists and non-specialists alike - [Monoidal Categories and Topological Field Theory](https://online.neatra.in/product/monoidal-categories-and-topological-field-theory/): Offers a detailed exposition accessible to students Provides numerous figures Winner of the 2016 Ferran Sunyer i Balaguer Prize - [Moduli of K-stable Varieties](https://online.neatra.in/product/moduli-of-k-stable-varieties/): This volume is an outcome of the workshop 'Moduli of K-stable Varieties', which was held in Rome, Italy in 2017. The content focuses on the existence problem for canonical Kähler metrics and links to the algebro-geometric notion of K-stability. - [Modulation Spaces](https://online.neatra.in/product/modulation-spaces/): Explores recent developments in the field of time-frequency analysis, particularly focusing on the topic of modulation spaces Presents valuable applications of modulation spaces to pseudodifferential operators and partial differential equations Appeals to a wide audience with its clear and self-contained presentation - [Modular Functions and Dirichlet Series in Number Theory](https://online.neatra.in/product/modular-functions-and-dirichlet-series-in-number-theory/): This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics 160) offered at the California Institute of Technology during the last 25 years. - [Modern Trends in Fuzzy Graph Theory](https://online.neatra.in/product/modern-trends-in-fuzzy-graph-theory/): This book provides an extensive set of tools for applying fuzzy mathematics and graph theory to real-life problems. - [Modern Survey Analysis: Using Python for Deeper Insights](https://online.neatra.in/product/modern-survey-analysis-using-python-for-deeper-insights/): This book develops survey data analysis tools in Python, to create and analyze cross-tab tables and data visuals, weight data, perform hypothesis tests, and handle special survey questions such as Check-all-that-Apply. In addition, the basics of Bayesian data analysis and its Python implementation are presented. - [Modern Real Analysis](https://online.neatra.in/product/modern-real-analysis/): Provides a foundation for further study in partial differential equations Completely self-contained text equips readers with the fundamentals of graduate real analysis New edition extensively revised and updated Supplies frequent opportunities to practice techniques - [Modern Geometry—Methods and Applications: Part III: Introduction to Homology Theory](https://online.neatra.in/product/modern-geometry-methods-and-applications-part-iii-introduction-to-homology-theory/): Over the past fifteen years, the geometrical and topological methods of the theory of manifolds have as- sumed a central role in the most advanced areas of pure and applied mathematics as well as theoretical physics. - [Modern Geometry— Methods and Applications: Part II: The Geometry and Topology of Manifolds](https://online.neatra.in/product/modern-geometry-methods-and-applications-part-ii-the-geometry-and-topology-of-manifolds/): Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. - [Modern Geometry — Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields](https://online.neatra.in/product/modern-geometry-methods-and-applications-part-i-the-geometry-of-surfaces-transformation-groups-and-fields/): This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. - [Modern Fourier Analysis](https://online.neatra.in/product/modern-fourier-analysis/): New edition extensively revised and updated, including 1000 different corrections and improvements in the existing text Includes a new chapter, "Multilinear Harmonic Analysis", including sections on multilinear operators, multilinear interpolation, multilinear multiplier operators, Calderón-Zygmund operators of several functions and multiple weights and weighted norm inequalities Provides motivation for the reader with more examples and applications, new and more relevant hints for the existing exercises, and about 20-30 new exercises in the existing chapters Includes supplementary material: sn.pub/extras Request lecturer material: sn.pub/lecturer-material - [Modern Discrete Mathematics and Analysis: With Applications in Cryptography, Information Systems and Modeling](https://online.neatra.in/product/modern-discrete-mathematics-and-analysis-with-applications-in-cryptography-information-systems-and-modeling/): A variety of modern research in analysis and discrete mathematics is provided in this book along with applications in cryptographic methods and information security, in order to explore new techniques, methods, and problems for further investigation. - [Models of Calcium Signalling](https://online.neatra.in/product/models-of-calcium-signalling/): This book discusses the ways in which mathematical, computational, and modelling methods can be used to help understand the dynamics of intracellular calcium. The concentration of free intracellular calcium is vital for controlling a wide range of cellular processes, and is thus of great physiological importance. - [Models for Tropical Climate Dynamics](https://online.neatra.in/product/models-for-tropical-climate-dynamics/): This book is a survey of the research work done by the author over the last 15 years, in collaboration with various eminent mathematicians and climate scientists on the subject of tropical convection and convectively coupled waves. In the areas of climate modelling and climate change science, tropical dynamics and tropical rainfall are among the biggest uncertainties of future projections. - [Modelling, Analysis, and Control of Networked Dynamical Systems](https://online.neatra.in/product/modelling-analysis-and-control-of-networked-dynamical-systems/): Analyzes and reconstructs emergent behaviors of networked dynamical systems using precise mathematical models Focuses on the control of networked systems with input saturation, large delays, and heterogeneous dynamics Includes valuable applications that will appeal to researchers specializing in multi-agent systems - [Modeling in Biopharmaceutics, Pharmacokinetics and Pharmacodynamics](https://online.neatra.in/product/modeling-in-biopharmaceutics-pharmacokinetics-and-pharmacodynamics/): The state of the art in Biopharmaceutics, Pharmacokinetics, and Pharmacodynamics Modeling is presented in this new second edition book. It shows how advanced physical and mathematical methods can expand classical models in order to cover heterogeneous drug-biological processes and therapeutic effects in the body. - [Model Theory : An Introduction](https://online.neatra.in/product/model-theory-an-introduction/): Includes supplementary material: sn.pub/extras - [Random Walks in the Quarter Plane](https://online.neatra.in/product/random-walks-in-the-quarter-plane/): This monograph aims to promote original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with boundaries. Such processes arise in numerous applications and are of interest in several areas of mathematical research, such as Stochastic Networks, Analytic Combinatorics, and Quantum Physics. - [Random Ordinary Differential Equations and Their Numerical Solution](https://online.neatra.in/product/random-ordinary-differential-equations-and-their-numerical-solution/): Makes recent results on the derivation of higher order numerical schemes for random ordinary differential equations (RODEs) available to a broader readership Develops numerical methods for random ODEs (RODEs) Highlights important applications, with a focus on dynamical behavior and the biological sciences Includes supplementary material: sn.pub/extras - [Random Measures, Theory and Applications](https://online.neatra.in/product/random-measures-theory-and-applications/): Presents a comprehensive account of modern random measure theory Interesting for researchers in pure and applied probability theory Very broad exposition Includes supplementary material: sn.pub/extras - [Ramanujan's Theta Functions](https://online.neatra.in/product/ramanujans-theta-functions/): Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan’s results and extends them to a general theory. - [Ramanujan's Lost Notebook: Part V](https://online.neatra.in/product/ramanujans-lost-notebook-part-v/): In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. - [Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes](https://online.neatra.in/product/quaternionic-closed-operators-fractional-powers-and-fractional-diffusion-processes/): This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators. This new approach allows to define new classes of fractional diffusion and evolution problems. - [Quaternion Algebras](https://online.neatra.in/product/quaternion-algebras/): Presents a comprehensive, open access treatment of the theory of quaternions, with the eBook free for all readers Engages the student reader with an accessible, approachable writing style Offers numerous options for constructing introductory and advanced courses Encompasses a vast wealth of knowledge to form an essential reference - [Quantum-Like Models for Information Retrieval and Decision-Making](https://online.neatra.in/product/quantum-like-models-for-information-retrieval-and-decision-making/): Highlights state-of-the-art contributions from leading international experts Touches on problems in information foraging, interactive quantum information access, deep convolutional neural networks, theory of contextual probability, and more Combines quantum methods expertise with applications to computer science using mathematical formalisms - [Quantum Theory for Mathematicians](https://online.neatra.in/product/quantum-theory-for-mathematicians/): Explains physical ideas in the language of mathematics Provides a self-contained treatment of the necessary mathematics, including spectral theory and Lie theory Contains many exercises that will appeal to graduate students - [Quantum Riemannian Geometry](https://online.neatra.in/product/quantum-riemannian-geometry/): This book provides a comprehensive account of a modern generalisation of differential geometry in which coordinates need not commute. This requires a reinvention of differential geometry that refers only to the coordinate algebra, now possibly noncommutative, rather than to actual points. - [Quantum Mathematical Physics: A Bridge between Mathematics and Physics](https://online.neatra.in/product/quantum-mathematical-physics-a-bridge-between-mathematics-and-physics/): Quantum physics has been highly successful for more than 90 years. Nevertheless, a rigorous construction of interacting quantum field theory is still missing. - [Quantum Isometry Groups](https://online.neatra.in/product/quantum-isometry-groups/): This book offers an up-to-date overview of the recently proposed theory of quantum isometry groups. Written by the founders, it is the first book to present the research on the “quantum isometry group”, highlighting the interaction of noncommutative geometry and quantum groups, which is a noncommutative generalization of the notion of group of isometry of a classical Riemannian manifold. - [Quantum Groups and Noncommutative Geometry](https://online.neatra.in/product/quantum-groups-and-noncommutative-geometry/): This textbook presents the second edition of Manin's celebrated 1988 Montreal lectures, which influenced a new generation of researchers in algebra to take up the study of Hopf algebras and quantum groups. - [Quantum Groups](https://online.neatra.in/product/quantum-groups/) - [Quantitative Tamarkin Theory](https://online.neatra.in/product/quantitative-tamarkin-theory/): This textbook offers readers a self-contained introduction to quantitative Tamarkin category theory. - [Quantitative Portfolio Management](https://online.neatra.in/product/quantitative-portfolio-management/): This self-contained book presents the main techniques of quantitative portfolio management and associated statistical methods in a very didactic and structured way, in a minimum number of pages. The concepts of investment portfolios, self-financing portfolios and absence of arbitrage opportunities are extensively used and enable the translation of all the mathematical concepts in an easily interpretable way. - [Quantitative Methods in Pharmaceutical Research and Development: Concepts and Applications](https://online.neatra.in/product/quantitative-methods-in-pharmaceutical-research-and-development-concepts-and-applications/): This contributed volume presents an overview of concepts, methods, and applications used in several quantitative areas of drug research, development, and marketing. - [Quantitative Methods for Investigating Infectious Disease Outbreaks](https://online.neatra.in/product/quantitative-methods-for-investigating-infectious-disease-outbreaks/): Connects key quantitative methods in mathematical epidemiology Covers contemporary topics in the field of infectious disease modeling Can be used as a graduate level textbook or for special summer school courses - [Quadratic Diophantine Equations](https://online.neatra.in/product/quadratic-diophantine-equations/): This monograph treats the classical theory of quadratic Diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. These new techniques combined with the latest increases in computational power shed new light on important open problems. - [Quadratic and Higher Degree Forms](https://online.neatra.in/product/quadratic-and-higher-degree-forms/): Provides survey lectures, also accessible to non-experts Introduction summarizes current research on quadratic and higher degree forms with a presentation of the necessary background material Contains expositions on the latest advances on some famous mathematical problems Includes supplementary material: sn.pub/extras - [Pyomo — Optimization Modeling in Python](https://online.neatra.in/product/pyomo-optimization-modeling-in-python/): Third edition has been reoganized to provide better information flow for readers who are either new or experienced Pyomo users Unique book describing the user-friendly Pyomo modeling tool, the most comprehensive open source modeling software that can model linear programs, integer programs, nonlinear programs, stochastic programs and disjunctive programs Discusses Pyomo's modeling components, illustrated with extensive examples Introduces beginners to the software and presents chapters for advanced modeling capabilities? Contains a comprehensive tutorial Includes supplementary material: sn.pub/extras - [Pseudo-Riemannian Homogeneous Structures](https://online.neatra.in/product/pseudo-riemannian-homogeneous-structures/): This book provides an up-to-date presentation of homogeneous pseudo-Riemannian structures, an essential tool in the study of pseudo-Riemannian homogeneous spaces. Benefiting from large symmetry groups, these spaces are of high interest in Geometry and Theoretical Physics. - [Pseudo-Differential Operators: Groups, Geometry and Applications](https://online.neatra.in/product/pseudo-differential-operators-groups-geometry-and-applications/): This volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM held at the National Convention Center in Beijing, August 10-14, 2015. - [Protecting Privacy through Homomorphic Encryption](https://online.neatra.in/product/protecting-privacy-through-homomorphic-encryption/): This book summarizes recent inventions, provides guidelines and recommendations, and demonstrates many practical applications of homomorphic encryption. This collection of papers represents the combined wisdom of the community of leading experts on Homomorphic Encryption. - [Propagation of Multidimensional Nonlinear Waves and Kinematical Conservation Laws](https://online.neatra.in/product/propagation-of-multidimensional-nonlinear-waves-and-kinematical-conservation-laws/): This book formulates the kinematical conservation laws (KCL), analyses them and presents their applications to various problems in physics. Finally, it addresses one of the most challenging problems in fluid dynamics: finding successive positions of a curved shock front. - [Progress in High-Dimensional Percolation and Random Graphs](https://online.neatra.in/product/progress-in-high-dimensional-percolation-and-random-graphs/): Contains over 90 exercises designed to enhance the reader’s understanding of the material Presents an introduction to percolation, as well as sources for textbooks that mainly focus on percolation Gives a self-contained proof of mean-field behavior for high-dimensional percolation Discusses recent extensions and additions to classical results Includes supplementary material: sn.pub/extras - [Progress in Approximation Theory and Applicable Complex Analysis: In Memory of Q.I. Rahman](https://online.neatra.in/product/progress-in-approximation-theory-and-applicable-complex-analysis-in-memory-of-q-i-rahman/): Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies. - [Programming for Computations - MATLAB/Octave: A Gentle Introduction to Numerical Simulations with MATLAB/Octave](https://online.neatra.in/product/programming-for-computations-matlab-octave-a-gentle-introduction-to-numerical-simulations-with-matlab-octave/): Easy-to-read text offering a gentle introduction to the necessary mathematics and computer science concepts Focuses on explaining all details of how to construct programs to solve mathematical problems Further emphasizes verification procedures and how to embed them in automatic test frameworks Includes supplementary material: sn.pub/extras - [Profinite Graphs and Groups](https://online.neatra.in/product/profinite-graphs-and-groups/): This book offers a detailed introduction to graph theoretic methods in profinite groups and applications to abstract groups. It is the first to provide a comprehensive treatment of the subject. - [Problems in Analytic Number Theory](https://online.neatra.in/product/problems-in-analytic-number-theory/): Contains a combination of well-organized theory and problems The problems successfully guide students through the most important areas of analytic number theory Includes more than 500 exercises at varying levels of difficulty Covers an improved Eratosthenes sieve, without the typical combinatorics Includes a clear exposition of Brun’s and Selberg’s sieves Includes supplementary material: sn.pub/extras - [Problems in Algebraic Number Theory](https://online.neatra.in/product/problems-in-algebraic-number-theory/): Theory is quickly translated into experience with the problem-solving approach. The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject. Includes various levels of problems - some are easy and straightforward, while others are more challenging. All problems are elegantly solved An ideal book for self-study Includes supplementary material: sn.pub/extras - [Problems and Proofs in Numbers and Algebra](https://online.neatra.in/product/problems-and-proofs-in-numbers-and-algebra/): Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials. - [Probability-2](https://online.neatra.in/product/probability-2/): Along with Probability-1, forms the third English edition of the author’s classic Probability Offers new problems, exercises, proofs, and applications in financial topics and mathematical statistics Features a Historical Review charting the development of the mathematical theory of probability Synthesizes classical ideas and results with many of the major achievements of modern probability theory Suitable for a course on random processes or for independent study - [Probability-1](https://online.neatra.in/product/probability-1/): Successfully synthesizes the most important classical ideas and results with many of the major achievements of modern probability theory Author provides clear and comprehensive introduction to probability theory - [Probability Theory II](https://online.neatra.in/product/probability-theory-ii/): This book is intended as a text for graduate students and as a reference for workers in probability and statistics. The prerequisite is honest calculus. The material covered in Parts Two to Five inclusive requires about three to four semesters of graduate study. - [Probability Theory I](https://online.neatra.in/product/probability-theory-i/): This fourth edition contains several additions. The main ones con­ cern three closely related topics: Brownian motion, functional limit distributions, and random walks. - [Probability and Stochastics](https://online.neatra.in/product/probability-and-stochastics/): Exercises are plentiful and of high quality Explanations and writing are unusually clear Author provides a nice balance of theory and applications Includes supplementary material: sn.pub/extras - [Probability and Random Variables: Theory and Applications](https://online.neatra.in/product/probability-and-random-variables-theory-and-applications/): This book discusses diverse concepts and notions – and their applications – concerning probability and random variables at the intermediate to advanced level. It explains basic concepts and results in a clearer and more complete manner than the extant literature. - [Probabilistic Theory of Mean Field Games with Applications II: Mean Field Games with Common Noise and Master Equations](https://online.neatra.in/product/probabilistic-theory-of-mean-field-games-with-applications-ii-mean-field-games-with-common-noise-and-master-equations/): First comprehensive presentation of state of the art theory of mean field games with special emphasis on the probabilistic approach Numerous applications with explicit examples including numerical solutions Self-contained treatment of related topics - [Probabilistic Theory of Mean Field Games with Applications I: Mean Field FBSDEs, Control, and Games](https://online.neatra.in/product/probabilistic-theory-of-mean-field-games-with-applications-i-mean-field-fbsdes-control-and-games/): First comprehensive presentation of state of the art theory of mean field games with special emphasis on the probabilistic approach Numerous applications with explicit examples including numerical solutions Self-contained treatment of related topics such as analysis on Wasserstein space and mean field control problems - [Principles of Complex Analysis](https://online.neatra.in/product/principles-of-complex-analysis/): This is a brief textbook on complex analysis intended for the students of upper undergraduate or beginning graduate level. The author stresses the aspects of complex analysis that are most important for the student planning to study algebraic geometry and related topics. - [Principles and Applications of Dimensional Analysis and Similarity](https://online.neatra.in/product/principles-and-applications-of-dimensional-analysis-and-similarity/): The book provides a summary of the historical evolution of dimensional analysis, and frames the problem of dimensions, systems of units and similarity in a vision dominated by the conventions that formalise even the exact sciences.The first four chapters address the definitions, with few dimensional analysis theorems and similarity criteria. - [Predictor Feedback for Delay Systems: Implementations and Approximations](https://online.neatra.in/product/predictor-feedback-for-delay-systems-implementations-and-approximations/): This book deals with several types of multi-dimensional control problems in the face of data uncertainty for vector cases—multi-dimensional multi-objective control problem with uncertain objective functionals, uncertain constraint functionals, and uncertain objective as well as constraint functionals, uncertain multi-dimensional multi-objective control problem with semi-infinite constraints, uncertain dual multi-dimensional multi-objective variational control problem, and second-order PDE&PDI constrained robust optimization problem. - [Predicting Pandemics in a Globally Connected World, Volume 1: Toward a Multiscale, Multidisciplinary Framework through Modeling and Simulation](https://online.neatra.in/product/predicting-pandemics-in-a-globally-connected-world-volume-1-toward-a-multiscale-multidisciplinary-framework-through-modeling-and-simulation/): This contributed volume investigates several mathematical techniques for the modeling and simulation of viral pandemics, with a special focus on COVID-19. Modeling a pandemic requires an interdisciplinary approach with other fields such as epidemiology, virology, immunology, and biology in general. - [Practice of Constitutive Modelling for Saturated Soils](https://online.neatra.in/product/practice-of-constitutive-modelling-for-saturated-soils/): This book describes the development of a constitutive modeling platform for soil testing, which is one of the key components in geomechanics and geotechnics. It discusses the fundamentals of the constitutive modeling of soils and illustrates the use of these models to simulate various laboratory tests. - [Practical Mathematical Optimization: Basic Optimization Theory and Gradient-Based Algorithms](https://online.neatra.in/product/practical-mathematical-optimization-basic-optimization-theory-and-gradient-based-algorithms/): Guides readers to understand processes and strategies in real world optimization problems Contains new material on gradient-based methods, algorithm implementation via Python, and basic optimization principles Covers fundamental optimization concepts and definitions, search techniques for unconstrained minimization and standard methods for constrained optimization Includes example problems and exercises - [Potential Method in Mathematical Theories of Multi-Porosity Media](https://online.neatra.in/product/potential-method-in-mathematical-theories-of-multi-porosity-media/): Applies the potential method to non-classical three-dimensional problems of the modern mathematical theories of elasticity and thermoelasticity for quadruple porosity materials Suggests future areas of research by presenting readers with numerous perspectives to explore after they have finished Provides a self-contained overview of theory and research, addressing a wide audience of mathematicians, physicists, engineers, and researchers from a variety of fields - [Possibility Theory for the Design of Information Fusion Systems](https://online.neatra.in/product/possibility-theory-for-the-design-of-information-fusion-systems/): This practical guidebook describes the basic concepts, the mathematical developments, and the engineering methodologies for exploiting possibility theory for the computer-based design of an information fusion system where the goal is decision support for industries in smart ICT (information and communications technologies). This exploitation of possibility theory improves upon probability theory, complements Dempster-Shafer theory, and fills an important gap in this era of Big Data and Internet of Things. - [Positive Operator Semigroups](https://online.neatra.in/product/positive-operator-semigroups/): This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications. Positivity is a property which naturally appears in physical, chemical, biological or economic processes. - [Polynomials and Polynomial Inequalities](https://online.neatra.in/product/polynomials-and-polynomial-inequalities/): Polynomials pervade mathematics, virtually every branch of mathematics from algebraic number theory and algebraic geometry to applied analysis and computer science, has a corpus of theory arising from polynomials. The material explored in this book primarily concerns polynomials as they arise in analysis| it focuses on polynomials and rational functions of a single variable. - [Polyhedral Methods in Geosciences](https://online.neatra.in/product/polyhedral-methods-in-geosciences/): First reference book on the topic Wide range of applications of engineering interest Wide range of new generation numerical methods - [Poisson Structures](https://online.neatra.in/product/poisson-structures/): First book about Poisson structures giving a comprehensive introduction as well as solid foundations to the theory Unique structure of the volume tailored to graduate students or advanced researchers Provides examples and exercises? - [Point Process Calculus in Time and Space: An Introduction with Applications](https://online.neatra.in/product/point-process-calculus-in-time-and-space-an-introduction-with-applications/): Addresses both beginners and more experienced probabilists using a rigorous mathematical treatment in a convivial style Provides the theoretical details, yet is oriented toward applications Covers both spatial point processes and point processes on the line - [Playing Around Resonance: An Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations](https://online.neatra.in/product/playing-around-resonance-an-invitation-to-the-search-of-periodic-solutions-for-second-order-ordinary-differential-equations/): This book provides an up-to-date description of the methods needed to face the existence of solutions to some nonlinear boundary value problems. All important and interesting aspects of the theory of periodic solutions of ordinary differential equations related to the physical and mathematical question of resonance are treated. - [Perturbed Semi-Markov Type Processes I: Limit Theorems for Rare-Event Times and Processes](https://online.neatra.in/product/perturbed-semi-markov-type-processes-i-limit-theorems-for-rare-event-times-and-processes/): This book is the first volume of a two-volume monograph devoted to the study of limit and ergodic theorems for regularly and singularly perturbed Markov chains, semi-Markov processes, and multi-alternating regenerative processes with semi-Markov modulation. The first volume presents necessary and sufficient conditions for weak convergence for first-rare-event times and convergence in the topology J for first-rare-event processes defined on regularly perturbed finite Markov chains and semi-Markov processes. - [Perturbed Gradient Flow Trees and A8-algebra Structures in Morse Cohomology](https://online.neatra.in/product/perturbed-gradient-flow-trees-and-a8-algebra-structures-in-morse-cohomology/): This book elaborates on an idea put forward by M. Abouzaid on equipping the Morse cochain complex of a smooth Morse function on a closed oriented manifold with the structure of an A?-algebra by means of perturbed gradient flow trajectories. - [Permutation Groups](https://online.neatra.in/product/permutation-groups/): Permutation Groups form one of the oldest parts of group theory. Through the ubiquity of group actions and the concrete representations which they afford, both finite and infinite permutation groups arise in many parts of mathematics and continue to be a lively topic of research in their own right. - [Periods and Nori Motives](https://online.neatra.in/product/periods-and-nori-motives/): This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives. It develops Nori’s approach to mixed motives from scratch, thereby filling an important gap in the literature, and then explains the connection of mixed motives to periods, including a detailed account of the theory of period numbers in the sense of Kontsevich-Zagier and their structural properties. - [Periodic Homogenization of Elliptic Systems](https://online.neatra.in/product/periodic-homogenization-of-elliptic-systems/): This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems in divergence form with rapidly oscillating periodic coefficients in a bounded domain. It begins with a review of the classical qualitative homogenization theory, and addresses the problem of convergence rates of solutions. - [Perfectoid Spaces](https://online.neatra.in/product/perfectoid-spaces/): This book contains selected chapters on perfectoid spaces, their introduction and applications, as invented by Peter Scholze in his Fields Medal winning work. These contributions are presented at the conference on “Perfectoid Spaces” held at the International Centre for Theoretical Sciences, Bengaluru, India, from 9–20 September 2019. - [Partition Functions and Automorphic Forms](https://online.neatra.in/product/partition-functions-and-automorphic-forms/): This book offers an introduction to the research in several recently discovered and actively developing mathematical and mathematical physics areas. - [Particles in Flows](https://online.neatra.in/product/particles-in-flows/): This book aims to face particles in flows from many different, but essentially interconnected sides and points of view. Thus the selection of authors and topics represented in the chapters, ranges from deep mathematical analysis of the associated models, through the techniques of their numerical solution, towards real applications and physical implications. - [Partial Differential Equations: Modeling, Analysis and Numerical Approximation](https://online.neatra.in/product/partial-differential-equations-modeling-analysis-and-numerical-approximation/): This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. - [Partial Differential Equations: An Introduction to Analytical and Numerical Methods](https://online.neatra.in/product/partial-differential-equations-an-introduction-to-analytical-and-numerical-methods/): Intertwines analytical and numerical methods for an integrated approach Showcases examples from the physical sciences, engineering, and economics Includes numerous exercises, illustrations, and opportunities for extension - [Partial Differential Equations in Anisotropic Musielak-Orlicz Spaces](https://online.neatra.in/product/partial-differential-equations-in-anisotropic-musielak-orlicz-spaces/): Studies PDEs with simultaneous non-polynomial, inhomogeneous and fully anisotropic growth conditions Includes a complete introduction to the requisite functional analytic framework Provides new tools for parabolic problems in function spaces changing with time - [Partial Differential Equations](https://online.neatra.in/product/partial-differential-equations-2/): This book is based on a course I have given five times at the University of Michigan, beginning in 1973. - [Partial Differential Equations](https://online.neatra.in/product/partial-differential-equations/): New edition extensively revised and updated Features a systematic discussion of the relations between different types of partial differential equations Presents new Harnack type techniques - [Parametric Geometry of Curves and Surfaces: Architectural Form-Finding](https://online.neatra.in/product/parametric-geometry-of-curves-and-surfaces-architectural-form-finding/): Provides an illustrated, self-contained introduction to the differential geometry of curves and surfaces Connects abstract mathematical theory with real architectural objects Richly illustrated with over 150 figures as well as 20 QR Codes linked to animations Many solved exercises to go beyond the theory - [Parameter Estimation in Stochastic Volatility Models](https://online.neatra.in/product/parameter-estimation-in-stochastic-volatility-models/): This book develops alternative methods to estimate the unknown parameters in stochastic volatility models, offering a new approach to test model accuracy. - [Parameter Estimation in Fractional Diffusion Models](https://online.neatra.in/product/parameter-estimation-in-fractional-diffusion-models/): This book is devoted to parameter estimation in diffusion models involving fractional Brownian motion and related processes. For many years now, standard Brownian motion has been (and still remains) a popular model of randomness used to investigate processes in the natural sciences, financial markets, and the economy. - [Pandemics: Insurance and Social Protection: Insurance and Social Protection](https://online.neatra.in/product/pandemics-insurance-and-social-protection-insurance-and-social-protection/): Freely available to all readers, this book is open access The first book to focus on epidemics/pandemics from an insurance and social protection point of view Helps researchers and practitioners to design distinctive insurance products for pandemics similar to Covid-19 Encourages collaboration between actuaries, mathematicians, virologists, lawyers and sociologists - [p-adic Numbers, p-adic Analysis, and Zeta-Functions](https://online.neatra.in/product/p-adic-numbers-p-adic-analysis-and-zeta-functions/): Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. - [Orthogonal Designs: Hadamard Matrices, Quadratic Forms and Algebras](https://online.neatra.in/product/orthogonal-designs-hadamard-matrices-quadratic-forms-and-algebras/): Orthogonal designs have proved fundamental to constructing code division multiple antenna systems for more efficient mobile communications. Starting with basic theory, this book develops the algebra and combinatorics to create new communications modes. - [Orienteering Problems: Models and Algorithms for Vehicle Routing Problems with Profits](https://online.neatra.in/product/orienteering-problems-models-and-algorithms-for-vehicle-routing-problems-with-profits/): Provides an overview of the orienteering problem and its most latest variants and applications Clearly explains and illustrates the available definitions and models for routing problems with profits Showcases a range of scientifically rigorous approaches that can be implemented and/or extended to solve similar problems - [Ordinary Differential Equations: Basics and Beyond](https://online.neatra.in/product/ordinary-differential-equations-basics-and-beyond/): This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions. - [Ordinary Differential Equations](https://online.neatra.in/product/ordinary-differential-equations/): Develops the theory of initial-, boundary-, and eigenvalue problems, real and complex linear systems, asymptotic behavior and stability. Using novel approaches to many subjects, the book emphasizes differential inequalities and treats more advanced topics such as Caratheodory theory, nonlinear boundary value problems and radially symmetric elliptic problems. - [Ordered Sets: An Introduction with Connections from Combinatorics to Topology](https://online.neatra.in/product/ordered-sets-an-introduction-with-connections-from-combinatorics-to-topology/): The second edition of this highly praised textbook provides an expanded introduction to the theory of ordered sets and its connections to various subjects. Utilizing a modular presentation, the core material is purposely kept brief, allowing for the benefits of a broad exposure to the subject without the risk of overloading the reader with too much information all at once. - [Optimization Problems in Graph Theory: In Honor of Gregory Z. Gutin's 60th Birthday](https://online.neatra.in/product/optimization-problems-in-graph-theory-in-honor-of-gregory-z-gutins-60th-birthday/): This book presents open optimization problems in graph theory and networks. Each chapter reflects developments in theory and applications based on Gregory Gutin’s fundamental contributions to advanced methods and techniques in combinatorial optimization. - [Optimization on Solution Sets of Common Fixed Point Problems](https://online.neatra.in/product/optimization-on-solution-sets-of-common-fixed-point-problems/): Studies the influence of computational errors on minimization problems with a convex objective function on a common fixed point set of a finite family of quasi-nonexpansive mappings Highlights the use of Cimmino type subgradient algorithms Highlights the use of the iterative subgradient algorithms Highlights the use of the dynamic string-averaging subgradient algorithm - [Optimization of Pharmaceutical Processes](https://online.neatra.in/product/optimization-of-pharmaceutical-processes/): Optimization of Pharmaceutical Processes presents contributions from leading authorities in the fields of optimization and pharmaceutical manufacturing. Formulated within structured frameworks, practical examples and applications are given as guidance to apply optimization techniques to most aspects of pharmaceutical processes from design, to lab and pilot scale, and finally to manufacturing. - [Optimization in Engineering](https://online.neatra.in/product/optimization-in-engineering/): This textbook covers the fundamentals of optimization, including linear, mixed-integer linear, nonlinear, and dynamic optimization techniques, with a clear engineering focus. - [Optimization by GRASP: Greedy Randomized Adaptive Search Procedures](https://online.neatra.in/product/optimization-by-grasp-greedy-randomized-adaptive-search-procedures/): This is the first book to cover GRASP (Greedy Randomized Adaptive Search Procedures), a metaheuristic that has enjoyed wide success in practice with a broad range of applications to real-world combinatorial optimization problems. - [Optimization and Management in Manufacturing Engineering: Resource Collaborative Optimization and Management through the Internet of Things](https://online.neatra.in/product/optimization-and-management-in-manufacturing-engineering-resource-collaborative-optimization-and-management-through-the-internet-of-things/): Problems facing manufacturing clusters that intersect information technology, process management, and optimization within the Internet of Things (IoT) are examined in this book. - [Optimal Fractional-order Predictive PI Controllers: For Process Control Applications with Additional Filtering](https://online.neatra.in/product/optimal-fractional-order-predictive-pi-controllers-for-process-control-applications-with-additional-filtering/): This book presents the study to design, develop, and implement improved PI control techniques using dead-time compensation, structure enhancements, learning functions and fractional ordering parameters. Two fractional-order PI controllers are proposed and designed: fractional-order predictive PI and hybrid iterative learning based fractional-order predictive PI controller. - [Optimal Districting and Territory Design](https://online.neatra.in/product/optimal-districting-and-territory-design/): This book highlights recent advances in the field of districting, territory design, and zone design. Districting problems deal essentially with tactical decisions, and involve mainly dividing a set of geographic units into clusters or territories subject to some planning requirements. - [Optimal Design through the Sub-Relaxation Method: Understanding the Basic Principles](https://online.neatra.in/product/optimal-design-through-the-sub-relaxation-method-understanding-the-basic-principles/): This book provides a comprehensive guide to analyzing and solving optimal design problems in continuous media by means of the so-called sub-relaxation method. Though the underlying ideas are borrowed from other, more classical approaches, here they are used and organized in a novel way, yielding a distinct perspective on how to approach this kind of optimization problems. - [Optimal Control Problems Related to the Robinson–Solow–Srinivasan Model](https://online.neatra.in/product/optimal-control-problems-related-to-the-robinson-solow-srinivasan-model/): This book is devoted to the study of classes of optimal control problems arising in economic growth theory, related to the Robinson–Solow–Srinivasan (RSS) model. The model was introduced in the 1960s by economists Joan Robinson, Robert Solow, and Thirukodikaval Nilakanta Srinivasan and was further studied by Robinson, Nobuo Okishio, and Joseph Stiglitz. - [Optimal Control Problems Arising in Mathematical Economics](https://online.neatra.in/product/optimal-control-problems-arising-in-mathematical-economics/): This book is devoted to the study of two large classes of discrete-time optimal control problems arising in mathematical economics. Nonautonomous optimal control problems of the first class are determined by a sequence of objective functions and sequence of constraint maps. - [Optimal Control of Partial Differential Equations](https://online.neatra.in/product/optimal-control-of-partial-differential-equations/): This is a book on optimal control problems (OCPs) for partial differential equations (PDEs) that evolved from a series of courses taught by the authors in the last few years at Politecnico di Milano, both at the undergraduate and graduate levels. - [Optimal Control for Mathematical Models of Cancer Therapies](https://online.neatra.in/product/optimal-control-for-mathematical-models-of-cancer-therapies/): This book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel cancer treatments are presented as optimal control problems with the goal of constructing optimal protocols. - [Operator Theory, Operator Algebras, and Matrix Theory](https://online.neatra.in/product/operator-theory-operator-algebras-and-matrix-theory/): This book consists of invited survey articles and research papers in the scientific areas of the “International Workshop on Operator Algebras, Operator Theory and Applications,” which was held in Lisbon in July 2016. - [Operator Theoretic Aspects of Ergodic Theory](https://online.neatra.in/product/operator-theoretic-aspects-of-ergodic-theory/): Stunning recent results by Host–Kra, Green–Tao, and others, highlight the timeliness of this systematic introduction to classical ergodic theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a modern foundation for introductory courses on ergodic theory, especially for students or researchers with an interest in functional analysis. - [Operations Research, Engineering, and Cyber Security: Trends in Applied Mathematics and Technology](https://online.neatra.in/product/operations-research-engineering-and-cyber-security-trends-in-applied-mathematics-and-technology/): Mathematical methods and theories with interdisciplinary applications are presented in this book. The eighteen contributions presented in this Work have been written by eminent scientists; a few papers are based on talks which took place at the International Conference at the Hellenic Artillery School in May 2015. - [Open Problems in the Geometry and Analysis of Banach Spaces](https://online.neatra.in/product/open-problems-in-the-geometry-and-analysis-of-banach-spaces/): This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. - [Open Problems in Mathematics](https://online.neatra.in/product/open-problems-in-mathematics/): The goal in putting together this unique compilation was to present the current status of the solutions to some of the most essential open problems in pure and applied mathematics. Emphasis is also given to problems in interdisciplinary research for which mathematics plays a key role. - [One-Parameter Semigroups for Linear Evolution Equations](https://online.neatra.in/product/one-parameter-semigroups-for-linear-evolution-equations/) - [On the Hypotheses Which Lie at the Bases of Geometry](https://online.neatra.in/product/on-the-hypotheses-which-lie-at-the-bases-of-geometry/): This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. - [On Characters of Finite Groups](https://online.neatra.in/product/on-characters-of-finite-groups/): Reveals the beauty of character theory of finite groups Familiarizes readers with the language of categories Offers readers broader coverage than books that focus almost exclusively on groups Includes supplementary material: sn.pub/extras - [Ocular Fluid Dynamics: Anatomy, Physiology, Imaging Techniques, and Mathematical Modeling](https://online.neatra.in/product/ocular-fluid-dynamics-anatomy-physiology-imaging-techniques-and-mathematical-modeling/): Promotes understanding of three interdisciplinary approaches to studying the eye: experimental methods, data-driven modeling, and physically-based modeling Provides an overview of the state-of-the-art in modeling ocular fluid dynamics Offers a truly collaborative approach to ophthalmology, with chapters written by mathematicians, engineers, clinical scientists, and more - [Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations](https://online.neatra.in/product/numerical-verification-methods-and-computer-assisted-proofs-for-partial-differential-equations/): In the last decades, various mathematical problems have been solved by computer-assisted proofs, among them the Kepler conjecture, the existence of chaos, the existence of the Lorenz attractor, the famous four-color problem, and more. In many cases, computer-assisted proofs have the remarkable advantage (compared with a “theoretical” proof) of additionally providing accurate quantitative information. - [Sophie Germain](https://online.neatra.in/product/sophie-germain/): This biography of the mathematician, Sophie Germain, paints a rich portrait of a brilliant and complex woman, the mathematics she developed, her associations with Gauss, Legendre, and other leading researchers, and the tumultuous times in which she lived. - [Smooth Manifolds and Observables](https://online.neatra.in/product/smooth-manifolds-and-observables/): Motivates the algebraic study of smooth manifolds by looking at them from the point of view of physics, in particular by using the observability principle Bridges between ideas from physics, geometry, and algebra, offering new perspectives to students and researchers in each field Incorporates a wide array of exercises and detailed illustrations, allowing readers to better familiarize themselves with the material Includes ten new chapters in the second edition, as well as additional exercises, examples, and illustrations Includes supplementary material: sn.pub/extras - [Smooth Functions and Maps](https://online.neatra.in/product/smooth-functions-and-maps/): Contains a consistent theory of smooth functions Deals with critical values of smooth mappings Uses a new technical approach that allows to clarify some of the technically difficult proofs while maintaining full integrity - [Skew PBW Extensions: Ring and Module-theoretic Properties, Matrix and Gröbner Methods, and Applications](https://online.neatra.in/product/skew-pbw-extensions-ring-and-module-theoretic-properties-matrix-and-grobner-methods-and-applications/): This monograph is devoted to a new class of non-commutative rings, skew Poincaré–Birkhoff–Witt (PBW) extensions. Beginning with the basic definitions and ring-module theoretic/homological properties, it goes on to investigate finitely generated projective modules over skew PBW extensions from a matrix point of view. - [Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics: Festschrift for Antonio Campillo on the Occasion of his 65th Birthday](https://online.neatra.in/product/singularities-algebraic-geometry-commutative-algebra-and-related-topics-festschrift-for-antonio-campillo-on-the-occasion-of-his-65th-birthday/): This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. - [Singularities of Mappings](https://online.neatra.in/product/singularities-of-mappings/): The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings. - [Singularities and Computer Algebra: Festschrift for Gert-Martin Greuel on the Occasion of his 70th Birthday](https://online.neatra.in/product/singularities-and-computer-algebra-festschrift-for-gert-martin-greuel-on-the-occasion-of-his-70th-birthday/): This book arose from a conference on “Singularities and Computer Algebra” which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel’s 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems, deformation theory and resolution of singularities. - [Singular Linear-Quadratic Zero-Sum Differential Games and H8 Control Problems: Regularization Approach](https://online.neatra.in/product/singular-linear-quadratic-zero-sum-differential-games-and-h8-control-problems-regularization-approach/): This monograph is devoted to the analysis and solution of singular differential games and singular $H_{inf}$ control problems in both finite- and infinite-horizon settings. Expanding on the authors’ previous work in this area, this novel text is the first to study the aforementioned singular problems using the regularization approach. - [Singular Limits in Thermodynamics of Viscous Fluids](https://online.neatra.in/product/singular-limits-in-thermodynamics-of-viscous-fluids/): This is a second edition with include updated material and developments This book gives an introduction to the problems involving singular limits based on the concept of weak or variational solutions This book is about singular limits of systems of partial differential equations governing the motion of thermally conducting compressible viscous fluids - [Singular Integral Operators, Quantitative Flatness, and Boundary Problems](https://online.neatra.in/product/singular-integral-operators-quantitative-flatness-and-boundary-problems/): This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. - [Simulation-Driven Design by Knowledge-Based Response Correction Techniques](https://online.neatra.in/product/simulation-driven-design-by-knowledge-based-response-correction-techniques/): Focused on efficient simulation-driven multi-fidelity optimization techniques, this monograph on simulation-driven optimization covers simulations utilizing physics-based low-fidelity models, often based on coarse-discretization simulations or other types of simplified physics representations, such as analytical models. - [Simplicity: Ideals of Practice in Mathematics and the Arts](https://online.neatra.in/product/simplicity-ideals-of-practice-in-mathematics-and-the-arts/): To find 'criteria of simplicity' was the goal of David Hilbert's recently discovered twenty-fourth problem on his renowned list of open problems given at the 1900 International Congress of Mathematicians in Paris. At the same time, simplicity and economy of means are powerful impulses in the creation of artworks. - [Simplicial Partitions with Applications to the Finite Element Method](https://online.neatra.in/product/simplicial-partitions-with-applications-to-the-finite-element-method/): This monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method. This active area of research has become an essential part of physics and engineering, for example in the study of problems involving heat conduction, linear elasticity, semiconductors, Maxwell's equations, Einstein's equations and magnetic and gravitational fields. - [Signals and Systems](https://online.neatra.in/product/signals-and-systems/): This textbook covers the fundamental theories of signals and systems analysis, while incorporating recent developments from integrated circuits technology into its examples. Starting with basic definitions in signal theory, the text explains the properties of continuous-time and discrete-time systems and their representation by differential equations and state space. - [Sheaf Theory](https://online.neatra.in/product/sheaf-theory/): This book is primarily concerned with the study of cohomology theories of general topological spaces with "general coefficient systems." Sheaves play several roles in this study. For example, they provide a suitable notion of "general coefficient systems." - [Sharpening Mathematical Analysis Skills](https://online.neatra.in/product/sharpening-mathematical-analysis-skills/): Brings carefully selected, challenging problems in mathematical analysis Explores the standard topics of mathematical analysis in ways not seen in regular textbooks Offers original problems of mathematical analysis called gems, scattered throughout the text, that stimulate the reader who enjoy creativity and discovery in mathematics Useful for students seeking to strengthen their skills in analysis, to prepare for math contests, instructors and connoisseurs of ingenious computations - [Shallow Water Hydraulics](https://online.neatra.in/product/shallow-water-hydraulics/): This book presents the theory and computation of open channel flows, using detailed analytical, numerical and experimental results. The fundamental equations of open channel flows are derived by means of a rigorous vertical integration of the RANS equations for turbulent flow. - [Several Complex Variables and Banach Algebras](https://online.neatra.in/product/several-complex-variables-and-banach-algebras/): Includes a wealth of new material developed since the previous edition Raises new questions and new methods of proofs in function theory The authors are well known and have written other Springer titles - [Set-Valued Stochastic Integrals and Applications](https://online.neatra.in/product/set-valued-stochastic-integrals-and-applications/): This book is among the first concise presentations of the set-valued stochastic integration theory as well as its natural applications, as well as the first to contain complex approach theory of set-valued stochastic integrals. Taking particular consideration of set-valued Itô , set-valued stochastic Lebesgue, and stochastic Aumann integrals, the volume is divided into nine parts. - [Set-valued Optimization](https://online.neatra.in/product/set-valued-optimization/): Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an important extension and unification of the scalar as well as the vector optimization problems. - [Set-Theoretic Methods in Control](https://online.neatra.in/product/set-theoretic-methods-in-control/): The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint. - [Set Function T](https://online.neatra.in/product/set-function-t/): This book presents, in a clear and structured way, the set function mathcal{T} and how it evolved since its inception by Professor F. Burton Jones in the 1940s. It starts with a very solid introductory chapter, with all the prerequisite material for navigating through the rest of the book. - [Serious Games for Enhancing Law Enforcement Agencies: From Virtual Reality to Augmented Reality](https://online.neatra.in/product/serious-games-for-enhancing-law-enforcement-agencies-from-virtual-reality-to-augmented-reality/): Looks at serious games for training specifically for first responders and law enforcement agencies Identifies the areas of training virtual reality and augmented reality could enhance within serious games Details the cost-effective nature of serious games in delivering complex scenarios - [Sequents and Trees: An Introduction to the Theory and Applications of Propositional Sequent Calculi](https://online.neatra.in/product/sequents-and-trees-an-introduction-to-the-theory-and-applications-of-propositional-sequent-calculi/): Considers the methodology and techniques of sequent calculus to illustrate its use in proving a wide range of metatheoretical results Includes many results and their proofs that are often not well known or easily accessible Examines important and nonstandard generalized sequent calculi, like hypersequent and structured sequent calculi. - [Sequential Experiments with Primes](https://online.neatra.in/product/sequential-experiments-with-primes/): With a specific focus on the mathematical life in small undergraduate colleges, this book presents a variety of elementary number theory insights involving sequences largely built from prime numbers and contingent number-theoretic functions. Chapters include new mathematical ideas and open problems, some of which are proved in the text. - [Separation in Point-Free Topology](https://online.neatra.in/product/separation-in-point-free-topology/): This book is the first systematic treatment of this area so far scattered in a vast number of articles. As in classical topology, concrete problems require restricting the (generalized point-free) spaces by various conditions playing the roles of classical separation axioms. - [Separable Optimization: Theory and Methods](https://online.neatra.in/product/separable-optimization-theory-and-methods/): The third part of the book includes three new chapters dedicated to applications New chapters are devoted to an in depth analysis of the Knapsack problem Second edition provides comprehensive coverage of separable programming - [Semilocal Categories and Modules with Semilocal Endomorphism Rings](https://online.neatra.in/product/semilocal-categories-and-modules-with-semilocal-endomorphism-rings/): Updates readers on developments in module theory that have led to current research Features a list of open research problems Broadens our understanding of the directions in which the research in this field is moving Self-contained presentation - [Semilinear Evolution Equations and Their Applications](https://online.neatra.in/product/semilinear-evolution-equations-and-their-applications/): This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. - [Semi-Infinite Fractional Programming](https://online.neatra.in/product/semi-infinite-fractional-programming/): This book presents a smooth and unified transitional framework from generalised fractional programming, with a finite number of variables and a finite number of constraints, to semi-infinite fractional programming, where a number of variables are finite but with infinite constraints. It focuses on empowering graduate students, faculty and other research enthusiasts to pursue more accelerated research advances with significant interdisciplinary applications without borders. - [Semigroups in Complete Lattices: Quantales, Modules and Related Topics](https://online.neatra.in/product/semigroups-in-complete-lattices-quantales-modules-and-related-topics/): This monograph provides a modern introduction to the theory of quantales. First coined by C.J. Mulvey in 1986, quantales have since developed into a significant topic at the crossroads of algebra and logic, of notable interest to theoretical computer science. - [Selected Topics in Malliavin Calculus: Chaos, Divergence and So Much More](https://online.neatra.in/product/selected-topics-in-malliavin-calculus-chaos-divergence-and-so-much-more/): This book is not a research monograph about Malliavin calculus with the latest results and the most sophisticated proofs. It does not contain all the results which are known even for the basic subjects which are addressed here. - [Search and Optimization by Metaheuristics: Techniques and Algorithms Inspired by Nature](https://online.neatra.in/product/search-and-optimization-by-metaheuristics-techniques-and-algorithms-inspired-by-nature/): This textbook provides a comprehensive introduction to nature-inspired metaheuristic methods for search and optimization, including the latest trends in evolutionary algorithms and other forms of natural computing. Over 100 different types of these methods are discussed in detail. - [Scientific Models: Red Atoms, White Lies and Black Boxes in a Yellow Book](https://online.neatra.in/product/scientific-models-red-atoms-white-lies-and-black-boxes-in-a-yellow-book/): A zebrafish, the hull of a miniature ship, a mathematical equation and a food chain - what do these things have in common? They are examples of models used by scientists to isolate and study particular aspects of the world around us. - [Scientific Computing and Algorithms in Industrial Simulations: Projects and Products of Fraunhofer SCAI](https://online.neatra.in/product/scientific-computing-and-algorithms-in-industrial-simulations-projects-and-products-of-fraunhofer-scai/): The contributions gathered here provide an overview of current research projects and selected software products of the Fraunhofer Institute for Algorithms and Scientific Computing SCAI. They show the wide range of challenges that scientific computing currently faces, the solutions it offers, and its important role in developing applications for industry. - [Scientific Computing](https://online.neatra.in/product/scientific-computing-2/): This is the third of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses topics that depend more on calculus than linear algebra, in order to prepare the reader for solving differential equations. - [Scientific Computing](https://online.neatra.in/product/scientific-computing/): This book explores the most significant computational methods and the history of their development. It begins with the earliest mathematical / numerical achievements made by the Babylonians and the Greeks, followed by the period beginning in the 16th century. - [Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods](https://online.neatra.in/product/schwarz-methods-and-multilevel-preconditioners-for-boundary-element-methods/): This book provides a comprehensive examination of preconditioners for boundary element discretisations of first-kind integral equations. Focusing on domain-decomposition-type and multilevel methods, it allows readers to gain a good understanding of the mechanisms and necessary techniques in the analysis of the preconditioners. - [Scale: Understanding the Environment](https://online.neatra.in/product/scale-understanding-the-environment/): This book provides up-to-date, in-depth and accessible information on the concept of scale, and focuses on its applications in geography, Earth science, environmental science, and other fields in which the environment plays a significant role. Although the book presents methods and applications as a response to practical challenges, it is primarily concept-centered: it identifies a set of distinct, yet related notions of “scale”, analyzing and elucidating their evolving meanings in a systematic way. - [Saved from the Cellar: Gerhard Gentzen’s Shorthand Notes on Logic and Foundations of Mathematics](https://online.neatra.in/product/saved-from-the-cellar-gerhard-gentzens-shorthand-notes-on-logic-and-foundations-of-mathematics/): Contains an introduction and English translation on very important notes on logic from a significant mathematician Presented in three parts for optimal accessibility Contains a detailed table of contents to guide readers to the works of greatest interest to them Includes supplementary material: sn.pub/extras - [Satellite Dynamics and Space Missions](https://online.neatra.in/product/satellite-dynamics-and-space-missions/): This book discusses the design of new space missions and their use for a better understanding of the dynamical behaviour of solar system bodies, which is an active ?eld of astrodynamics. Space missions gather data and observations that enable new breakthroughs in our understanding of the origin, evolution and future of our solar system and Earth’s place within it. - [Sampling: Theory and Applications](https://online.neatra.in/product/sampling-theory-and-applications/): The chapters of this volume are based on talks given at the eleventh international Sampling Theory and Applications conference held in 2015 at American University in Washington, D.C. The papers highlight state-of-the-art advances and trends in sampling theory and related areas of application, such as signal and image processing. - [Robust Multivariate Analysis](https://online.neatra.in/product/robust-multivariate-analysis/): This text presents methods that are robust to the assumption of a multivariate normal distribution or methods that are robust to certain types of outliers. Instead of using exact theory based on the multivariate normal distribution, the simpler and more applicable large sample theory is given. - [Risk Management for Pension Funds: A Continuous Time Approach with Applications in R](https://online.neatra.in/product/risk-management-for-pension-funds-a-continuous-time-approach-with-applications-in-r/): Provides a complete and consistent presentation of financial and actuarial risk All theoretical models are coupled with numerical methods (R codes provided) Introduces the "Martingale Method" to solve the dynamic optimization problem - [Risk and Insurance](https://online.neatra.in/product/risk-and-insurance/): This textbook provides a broad overview of the present state of insurance mathematics and some related topics in risk management, financial mathematics and probability. Both non-life and life aspects are covered. - [Rings, Modules, and Closure Operations](https://online.neatra.in/product/rings-modules-and-closure-operations/): Provides complete treatise about the most recent multiplicative ideal theory in commutative rings Includes a dependence chart for the various sections of the book Exercises included at the end of each section - [Rings and Categories of Modules](https://online.neatra.in/product/rings-and-categories-of-modules/): This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses. - [Rigorous Time Slicing Approach to Feynman Path Integrals](https://online.neatra.in/product/rigorous-time-slicing-approach-to-feynman-path-integrals/): This book proves that Feynman's original definition of the path integral actually converges to the fundamental solution of the Schrödinger equation at least in the short term if the potential is differentiable sufficiently many times and its derivatives of order equal to or higher than two are bounded. - [Rigid Geometry of Curves and Their Jacobians](https://online.neatra.in/product/rigid-geometry-of-curves-and-their-jacobians/): This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field. The text starts with a survey of the foundation of rigid geometry, and then focuses on a detailed treatment of the applications. - [Rigid Body Dynamics: A Lagrangian Approach](https://online.neatra.in/product/rigid-body-dynamics-a-lagrangian-approach/): This monograph provides a complete and up-to-date examination of rigid body dynamics using a Lagrangian approach. All known integrable cases, which were previously scattered throughout the literature, are collected here for convenient reference. Also contained are particular solutions to diverse problems treated within rigid body dynamics. - [Riemannian Manifolds and Homogeneous Geodesics](https://online.neatra.in/product/riemannian-manifolds-and-homogeneous-geodesics/): This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also provides a detailed introduction to homogeneous geodesics, that is, geodesics that are integral curves of Killing vector fields, presenting both classical and modern results, some very recent, many of which are due to the authors. - [Riemannian Geometry](https://online.neatra.in/product/riemannian-geometry/): Includes a substantial addition of unique and enriching exercises Exists as one of the few Works to combine both the geometric parts of Riemannian geometry and analytic aspects of the theory Presents a new approach to the Bochner technique for tensors that considerably simplifies the material Includes supplementary material: sn.pub/extras - [Riemann Surfaces](https://online.neatra.in/product/riemann-surfaces/): It is gratifying to learn that there is new life in an old field that has been at the center of one's existence for over a quarter of a century. It is particularly pleasing that the subject of Riemann surfaces has attracted the attention of a new generation of mathematicians from (newly) adjacent fields (for example, those interested in hyperbolic manifolds and iterations of rational maps) and young physicists who have been convinced (certainly not by mathematicians) that compact Riemann surfaces may play an important role in their (string) universe. - [Reverberations of a Stroke: A Memoir](https://online.neatra.in/product/reverberations-of-a-stroke-a-memoir/): In the early morning hours of Feb. 1, 2016, Karl Gustafson became instinctively aware that something catastrophic was happening inside him. A severe headache that had persisted for days had taken a sudden turn for the worse, and a clear inner voice ordered him to obtain immediate help. - [Residue Number Systems: Theory and Applications](https://online.neatra.in/product/residue-number-systems-theory-and-applications/): This new and expanded monograph improves upon Mohan's earlier book, Residue Number Systems (Springer, 2002) with a state of the art treatment of the subject. Replete with detailed illustrations and helpful examples, this book covers a host of cutting edge topics such as the core function, the quotient function, new Chinese Remainder theorems, and large integer operations. - [Research Trends in Graph Theory and Applications](https://online.neatra.in/product/research-trends-in-graph-theory-and-applications/): Features research in a broad variety of problems in different areas of graph theory Each chapter offers an introduction to a graph theory topic of current research, aiming at clarity and high-quality exposition while emphasizing recent advances and open problems Presents concepts and ideas thoroughly and with details Each chapter corresponds to research proposed and led by prominent research experts in each field - [Research Topics in Analysis, Volume I: Grounding Theory](https://online.neatra.in/product/research-topics-in-analysis-volume-i-grounding-theory/): This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of modern analysis. This work empowers young researchers with all the necessary techniques to explore the various subfields of this broad subject, and introduces relevant frameworks where these tools can be immediately deployed. - [Research Problems in Function Theory](https://online.neatra.in/product/research-problems-in-function-theory/): In 1967 Walter K. Hayman published ‘Research Problems in Function Theory’, a list of 141 problems in seven areas of function theory. In the decades following, this list was extended to include two additional areas of complex analysis, updates on progress in solving existing problems, and over 520 research problems from mathematicians worldwide. It became known as ‘Hayman's List’. - [Research in PDEs and Related Fields: The 2019 Spring School, Sidi Bel Abbès, Algeria](https://online.neatra.in/product/research-in-pdes-and-related-fields-the-2019-spring-school-sidi-bel-abbes-algeria/): This volume presents an accessible overview of mathematical control theory and analysis of PDEs, providing young researchers a snapshot of these active and rapidly developing areas. - [Research in Mathematics of Materials Science](https://online.neatra.in/product/research-in-mathematics-of-materials-science/): This volume highlights contributions of women mathematicians in the study of complex materials and includes both original research papers and reviews. - [Research in Mathematics and Public Policy](https://online.neatra.in/product/research-in-mathematics-and-public-policy/): Presents research from the first workshop for Women in Mathematics and Public Policy Addresses application of mathematics to the public policy issues of cybersecurity and climate change Showcases research conducted by female mathematicians from academia, industry, and government - [Research in Computational Topology 2](https://online.neatra.in/product/research-in-computational-topology-2/): This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied and computational topology, containing the proceedings of the second workshop for Women in Computational Topology (WinCompTop) as well as papers solicited from the broader WinCompTop community. - [Research Directions in Symplectic and Contact Geometry and Topology](https://online.neatra.in/product/research-directions-in-symplectic-and-contact-geometry-and-topology/): This book highlights a number of recent research advances in the field of symplectic and contact geometry and topology, and related areas in low-dimensional topology. This field has experienced significant and exciting growth in the past few decades, and this volume provides an accessible introduction into many active research problems in this area. - [Representations of Lie Algebras and Partial Differential Equations](https://online.neatra.in/product/representations-of-lie-algebras-and-partial-differential-equations/): This book provides explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic varieties, summarizing the author’s works and his joint works with his former students. Further, it presents various oscillator generalizations of the classical representation theorem on harmonic polynomials, and highlights new functors from the representation category of a simple Lie algebra to that of another simple Lie algebra. - [Representations of Compact Lie Groups](https://online.neatra.in/product/representations-of-compact-lie-groups/): This book is based on several courses given by the authors since 1966. It introduces the reader to the representation theory of compact Lie groups. - [Representations of Algebras: Tame and Wild Behavior](https://online.neatra.in/product/representations-of-algebras-tame-and-wild-behavior/): This book offers an original introduction to the representation theory of algebras, suitable for beginning researchers in algebra. It includes many results and techniques not usually covered in introductory books, some of which appear here for the first time in book form. - [Representations and Nilpotent Orbits of Lie Algebraic Systems](https://online.neatra.in/product/representations-and-nilpotent-orbits-of-lie-algebraic-systems/): This volume, a celebration of Anthony Joseph’s fundamental influence on classical and quantized representation theory, explores a wide array of current topics in Lie theory by experts in the area. - [Representation Theory: A First Course](https://online.neatra.in/product/representation-theory-a-first-course/): The primary goal of these lectures is to introduce a beginner to the finite­ dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book. - [Representation Theory, Number Theory, and Invariant Theory: In Honor of Roger Howe on the Occasion of His 70th Birthday](https://online.neatra.in/product/representation-theory-number-theory-and-invariant-theory-in-honor-of-roger-howe-on-the-occasion-of-his-70th-birthday/): This book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015. The meeting and this resulting volume are in honor of Professor Roger Howe, on the occasion of his 70th birthday, whose work and insights have been deeply influential in the development of these fields. - [Representation Theory, Mathematical Physics, and Integrable Systems](https://online.neatra.in/product/representation-theory-mathematical-physics-and-integrable-systems/): Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and physicists and pay tribute to his many significant and lasting achievements. - [Representation Theory of Solvable Lie Groups and Related Topics](https://online.neatra.in/product/representation-theory-of-solvable-lie-groups-and-related-topics/): This book is unique in the domain of representation theory of solvable Lie groups Solves many problems in relation with many other research fields Appears as a perfect tool for researchers and beginners in the fields - [Representation Theory of Finite Group Extensions: Clifford Theory, Mackey Obstruction, and the Orbit Method](https://online.neatra.in/product/representation-theory-of-finite-group-extensions-clifford-theory-mackey-obstruction-and-the-orbit-method/): This monograph adopts an operational and functional analytic approach to the following problem: given a short exact sequence (group extension) 1 ? N ? G ? H ? 1 of finite groups, describe the irreducible representations of G by means of the structure of the group extension. - [Representation Theory and Algebraic Geometry: A Conference Celebrating the Birthdays of Sasha Beilinson and Victor Ginzburg](https://online.neatra.in/product/representation-theory-and-algebraic-geometry-a-conference-celebrating-the-birthdays-of-sasha-beilinson-and-victor-ginzburg/): The chapters in this volume explore the influence of the Russian school on the development of algebraic geometry and representation theory, particularly the pioneering work of two of its illustrious members, Alexander Beilinson and Victor Ginzburg, in celebration of their 60th birthdays. - [Representation Learning: Propositionalization and Embeddings](https://online.neatra.in/product/representation-learning-propositionalization-and-embeddings/): This monograph addresses advances in representation learning, a cutting-edge research area of machine learning. Representation learning refers to modern data transformation techniques that convert data of different modalities and complexity, including texts, graphs, and relations, into compact tabular representations, which effectively capture their semantic properties and relations. - [Renormings in Banach Spaces: A Toolbox](https://online.neatra.in/product/renormings-in-banach-spaces-a-toolbox/): This monograph presents an up-to-date panorama of the different techniques and results in the large field of renorming in Banach spaces and its applications. The reader will find a self-contained exposition of the basics on convexity and differentiability, the classical results in building equivalent norms with useful properties, and the evolution of the subject from its origin to the present days. - [Regular Functions of a Quaternionic Variable](https://online.neatra.in/product/regular-functions-of-a-quaternionic-variable/): This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications. - [Reduced-Order Modeling (ROM) for Simulation and Optimization: Powerful Algorithms as Key Enablers for Scientific Computing](https://online.neatra.in/product/reduced-order-modeling-rom-for-simulation-and-optimization-powerful-algorithms-as-key-enablers-for-scientific-computing/): This edited monograph collects research contributions and addresses the advancement of efficient numerical procedures in the area of model order reduction (MOR) for simulation, optimization and control. - [Recurrent Sequences: Key Results, Applications, and Problems](https://online.neatra.in/product/recurrent-sequences-key-results-applications-and-problems/): Appropriate for math olympiad competitors| Contains challenging problems and solutions Teaches techniques and facts that are central to mathematics Presents a diverse range of state-of-the-art topics and developments Illustrates unexpected connections between various mathematical topics Results are supported by numerous illustrations - [Recent Trends in Naval Engineering Research](https://online.neatra.in/product/recent-trends-in-naval-engineering-research/): Presents applications of key scientific and mathematical concepts to real-life problems in naval engineering Gathers contributors reflecting the author’s experience in applying pure science to provide state-of-art solutions Covers topics in control, numerical analysis, matrix theory, fluid mechanics, and more - [Recent Trends in Combinatorics](https://online.neatra.in/product/recent-trends-in-combinatorics/): This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus. - [Recent Progress in Mathematics](https://online.neatra.in/product/recent-progress-in-mathematics/): This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction. Four of the chapters are expository in nature while one is based more directly on research. - [Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations](https://online.neatra.in/product/recent-developments-in-discontinuous-galerkin-finite-element-methods-for-partial-differential-equations/): The field of discontinuous Galerkin finite element methods has attracted considerable recent attention from scholars in the applied sciences and engineering. This volume brings together scholars working in this area, each representing a particular theme or direction of current research. - [Recent Advances in Mechanics and Fluid-Structure Interaction with Applications: The Bong Jae Chung Memorial Volume](https://online.neatra.in/product/recent-advances-in-mechanics-and-fluid-structure-interaction-with-applications-the-bong-jae-chung-memorial-volume/): This volume examines current research in mechanics and its applications to various disciplines, with a particular focus on fluid-structure interaction (FSI). The topics have been chosen in commemoration of Dr. Bong Jae Chung and with respect to his wide range of research interests. - [Real Mathematical Analysis](https://online.neatra.in/product/real-mathematical-analysis/): Elucidates abstract concepts and salient points in proofs with over 150 detailed illustrations Treats the rigorous foundations of both single and multivariable Calculus Gives an intuitive presentation of Lebesgue integration using the undergraph approach of Burkill Includes over 500 exercises that are interesting and thought-provoking, not merely routine - [Real and Functional Analysis](https://online.neatra.in/product/real-and-functional-analysis-2/): This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Anal­ysis. I assume that the reader is acquainted with notions of uniform con­ vergence and the like - [Real and Functional Analysis](https://online.neatra.in/product/real-and-functional-analysis/): This book is based on lectures given at 'Mekhmat', the Department of Mechanics and Mathematics at Moscow State University, one of the top mathematical departments worldwide, with a rich tradition of teaching functional analysis. - [Real and Abstract Analysis: A Modern Treatment of the Theory of Functions of a Real Variable](https://online.neatra.in/product/real-and-abstract-analysis-a-modern-treatment-of-the-theory-of-functions-of-a-real-variable/): This book is first of all designed as a text for the course usually called "theory of functions of a real variable". This course is at present cus­ tomarily offered as a first or second year graduate course in United States universities, although there are signs that this sort of analysis will soon penetrate upper division undergraduate curricula. - [Real Analysis: Series, Functions of Several Variables, and Applications](https://online.neatra.in/product/real-analysis-series-functions-of-several-variables-and-applications/): Corresponds to a second course in real analysis to follow the authors' book Real Analysis: Foundations and Functions of One Variable Motivates ideas and results in analysis by exploring concepts and applications Showcases a comprehensive collection of exercises, allowing students to develop proficiency over a broad range of problems Includes supplementary material: sn.pub/extras - [Real Analysis via Sequences and Series](https://online.neatra.in/product/real-analysis-via-sequences-and-series/): This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. - [Real Analysis and Applications](https://online.neatra.in/product/real-analysis-and-applications/): This textbook introduces readers to real analysis in one and n dimensions. It is divided into two parts: Part I explores real analysis in one variable, starting with key concepts such as the construction of the real number system, metric spaces, and real sequences and series. In turn, Part II addresses the multi-variable aspects of real analysis. - [Real Analysis](https://online.neatra.in/product/real-analysis-3/): This textbook is designed for a year-long course in real analysis taken by beginning graduate and advanced undergraduate students in mathematics and other areas such as statistics, engineering, and economics. Written by one of the leading scholars in the field, it elegantly explores the core concepts in real analysis and introduces new, accessible methods for both students and instructors. - [Real Analysis](https://online.neatra.in/product/real-analysis-2/): Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. - [Real Analysis](https://online.neatra.in/product/real-analysis/): The second edition of this classic textbook presents a rigorous and self-contained introduction to real analysis with the goal of providing a solid foundation for future coursework and research in applied mathematics. Written in a clear and concise style, it covers all of the necessary subjects as well as those often absent from standard introductory texts. - [Real Algebraic Varieties](https://online.neatra.in/product/real-algebraic-varieties/): This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are ubiquitous. - [Rational Sphere Maps](https://online.neatra.in/product/rational-sphere-maps/): Synthesizes research from the past 40 years on rational sphere maps Explores connections with other areas of mathematics, such as combinatorics, optimization, and number theory Includes several computational examples worked out in detail - [Rational Homotopy Theory and Differential Forms](https://online.neatra.in/product/rational-homotopy-theory-and-differential-forms/): Second edition with fully updated content Includes a readable introduction for non-specialists Provides many elementary examples and exercises - [Rational Homotopy Theory](https://online.neatra.in/product/rational-homotopy-theory/): The computational power of rational homotopy theory is due to the discovery by Quillen [135] and by Sullivan [144] of an explicit algebraic formulation. In each case the rational homotopy type of a topological space is the same as the isomorphism class of its algebraic model and the rational homotopy type of a continuous map is the same as the algebraic homotopy class of the correspond­ ing morphism between models. - [Rate-Independent Systems](https://online.neatra.in/product/rate-independent-systems/): This monograph provides both an introduction to and a thorough exposition of the theory of rate-independent systems, which the authors have been working on with a lot of collaborators over 15 years. The focus is mostly on fully rate-independent systems, first on an abstract level either with or even without a linear structure, discussing various concepts of solutions with full mathematical rigor. - [Raoul Bott: Collected Papers](https://online.neatra.in/product/raoul-bott-collected-papers/): This book is the fifth and final volume of Raoul Bott’s Collected Papers. It collects all of Bott’s published articles since 1991 as well as some articles published earlier but missing in the earlier volumes. - [Random Walks on Reductive Groups](https://online.neatra.in/product/random-walks-on-reductive-groups/): The classical theory of random walks describes the asymptotic behavior of sums of independent identically distributed random real variables. This book explains the generalization of this theory to products of independent identically distributed random matrices with real coefficients. - [The Moment Problem](https://online.neatra.in/product/the-moment-problem/): First book to present a complete and unified treatment of all parts of the classical real moment problem (full and truncated, one-dimensional and multidimensional) Develops classical and recent results with full proofs Contains new results and concepts on the truncated multidimensional moment problem - [The Mathematics of Urban Morphology](https://online.neatra.in/product/the-mathematics-of-urban-morphology/): This edited volume provides an essential resource for urban morphology, the study of urban forms and structures, offering a much-needed mathematical perspective. Experts on a variety of mathematical modeling techniques provide new insights into specific aspects of the field, such as street networks, sustainability, and urban growth. - [The Mathematics of the Modernist Villa: Architectural Analysis Using Space Syntax and Isovists](https://online.neatra.in/product/the-mathematics-of-the-modernist-villa-architectural-analysis-using-space-syntax-and-isovists/): This book presents the first detailed mathematical analysis of the social, cognitive and experiential properties of Modernist domestic architecture. The Modern Movement in architecture, which came to prominence during the first half of the twentieth century, may have been famous for its functional forms and machine-made aesthetic, but it also sought to challenge the way people inhabit, understand and experience space. - [The Mathematics of Medical Imaging: A Beginner’s Guide](https://online.neatra.in/product/the-mathematics-of-medical-imaging-a-beginners-guide/): Offers concise treatment of mathematics for undergraduates solely within the context of medical imaging Covers current medical imaging development and improvements regarding CT scans, ultrasounds, MRIs, and more Offers short computer-based assignments and more than 20 examples using R SpringerLink features R code used throughout the text Includes supplementary material: sn.pub/extras - [The Mathematics of Marine Modelling: Water, Solute and Particle Dynamics in Estuaries and Shallow Seas](https://online.neatra.in/product/the-mathematics-of-marine-modelling-water-solute-and-particle-dynamics-in-estuaries-and-shallow-seas/): Over the past few decades, numerical simulation has become instrumental in understanding the dynamics of seas, coastal regions and estuaries. The decision makers rely more and more frequently on model results for the management of these regions. - [The Mathematics of Frobenius in Context: A Journey Through 18th to 20th Century Mathematics](https://online.neatra.in/product/the-mathematics-of-frobenius-in-context-a-journey-through-18th-to-20th-century-mathematics/): Written by an expert in the field with forty years of research on the subject Presented in three parts for optimal accessibility Contains a detailed table of contents to guide readers to the works of greatest interest to them - [The Mathematics of Errors](https://online.neatra.in/product/the-mathematics-of-errors/): The Mathematics of Errors presents an original, rigorous and systematic approach to the calculus of errors, targeted at both the engineer and the mathematician. Starting from Gauss's original point of view, the book begins as an introduction suitable for graduate students, leading to recent developments in stochastic analysis and Malliavin calculus, including contributions by the author. - [The Mathematics Behind Biological Invasions](https://online.neatra.in/product/the-mathematics-behind-biological-invasions/): This book investigates the mathematical analysis of biological invasions. Unlike purely qualitative treatments of ecology, it draws on mathematical theory and methods, equipping the reader with sharp tools and rigorous methodology. - [The Mathematics and Mechanics of Biological Growth](https://online.neatra.in/product/the-mathematics-and-mechanics-of-biological-growth/): Presents a mathematical theory to quantify and model biological growth processes Shows how mechanics and geometry are coupled during growth and how complex forms and morphological patterns may arise due to instabilities Illustrated with simple examples and detailed biological applications Includes supplementary material: sn.pub/extras - [The Mathematical Theory of Time-Harmonic Maxwell's Equations](https://online.neatra.in/product/the-mathematical-theory-of-time-harmonic-maxwells-equations/): This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations. - [The Mathematical Artist: A Tribute To John Horton Conway](https://online.neatra.in/product/the-mathematical-artist-a-tribute-to-john-horton-conway/): This book brings together the impact of Prof. John Horton Conway, the playful and legendary mathematician's wide range of contributions in science which includes research areas—Game of Life in cellular automata, theory of finite groups, knot theory, number theory, combinatorial game theory, and coding theory. - [The Magic Ring](https://online.neatra.in/product/the-magic-ring/): This book presents a new understanding on how control systems truly operate, and explains how to recognize, simulate, and improve control systems in all fields of activity. It also reveals the pervasive, ubiquitous and indispensable role of control processes in our life and the need to develop a “control-oriented thinking”—based on uncomplicated but effective models derived from systems thinking—that is, a true “discipline of control.” - [The Lvov-Warsaw School. Past and Present](https://online.neatra.in/product/the-lvov-warsaw-school-past-and-present/): Lvov-Warsaw School is a world phenomenon in developments of foundations for modern philosophy and logic How the Undefinability of the Notion of Truth survived and emerged like a Phoenix from ashes at the University of Berkeley This illuminating book is a consists of contributions of renown authors from the fields of Computer Science, Mathematics, Metalogic, Scientific and Analytic Philosophy, Theory of Models, Theory of Argumentation, Semiotics and Linguistics, Logic, Philosophy and Mathematics - [The Lattice of Subquasivarieties of a Locally Finite Quasivariety](https://online.neatra.in/product/the-lattice-of-subquasivarieties-of-a-locally-finite-quasivariety/): This book discusses the ways in which the algebras in a locally finite quasivariety determine its lattice of subquasivarieties. The book starts with a clear and comprehensive presentation of the basic structure theory of quasivariety lattices, and then develops new methods and algorithms for their analysis. - [The Laplace Equation: Boundary Value Problems on Bounded and Unbounded Lipschitz Domains](https://online.neatra.in/product/the-laplace-equation-boundary-value-problems-on-bounded-and-unbounded-lipschitz-domains/): This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains. It studies the Dirichlet problem, the Neumann problem, the Robin problem, the derivative oblique problem, the transmission problem, the skip problem and mixed problems. - [The History of the Priority Di?pute between Newton and Leibniz: Mathematics in History and Culture](https://online.neatra.in/product/the-history-of-the-priority-dipute-between-newton-and-leibniz-mathematics-in-history-and-culture/): This book provides a thrilling history of the famous priority dispute between Gottfried Wilhelm Leibniz and Isaac Newton, presenting the episode for the first time in the context of cultural history. It introduces readers to the background of the dispute, details its escalation, and discusses the aftermath of the big divide, which extended well into The Early Challengend the story is very intelligibly explained – an approach that offers general readers interested in the history of sciences and mathematics a window into the world of these two giants in their field. - [The Grassmannian Variety](https://online.neatra.in/product/the-grassmannian-variety/): This book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvarieties, focusing on the geometric and representation-theoretic aspects of Grassmannian varieties. Research of Grassmannian varieties is centered at the crossroads of commutative algebra, algebraic geometry, representation theory, and combinatorics. - [The Graduate Student’s Guide to Numerical Analysis ’98: Lecture Notes from the VIII EPSRC Summer School in Numerical Analysis](https://online.neatra.in/product/the-graduate-students-guide-to-numerical-analysis-98-lecture-notes-from-the-viii-epsrc-summer-school-in-numerical-analysis/): The book is a presentation of hot topics in numerical analysis suitable for graduate students Includes supplementary material: sn.pub/extras - [The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra](https://online.neatra.in/product/the-geometry-of-syzygies-a-second-course-in-algebraic-geometry-and-commutative-algebra/): First textbook-level account of basic examples and techniques in this area Suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already David Eisenbud is a well-known mathematician and current president of the American Mathematical Society, as well as a successful Springer author Includes supplementary material: sn.pub/extras - [The Geometry of Schemes](https://online.neatra.in/product/the-geometry-of-schemes/): Written by two highly respected mathematicians who are also bestselling Springer authors Fills the gap between books on classical algebraic geometry and full-blown accounts of the theory of schemes Provides a simple account, emphasizing and explaining the universal geometric concepts behind the definitions Explicit calculations show how scheme theory is utilized in practice Discusses applications to number theory, physics, and applied mathematics - [The Geometry of Discrete Groups](https://online.neatra.in/product/the-geometry-of-discrete-groups/): This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations. - [The Geometric Hopf Invariant and Surgery Theory](https://online.neatra.in/product/the-geometric-hopf-invariant-and-surgery-theory/): Provides the homotopy theoretic foundations for surgery theory Includes a self-contained account of the Hopf invariant in terms of Z_2-equivariant homotopy Covers applications of the Hopf invariant to surgery theory, in particular the Double Point Theorem - [The Generalized Fourier Series Method: Bending of Elastic Plates](https://online.neatra.in/product/the-generalized-fourier-series-method-bending-of-elastic-plates/): The book presents and explains a general, efficient, and elegant method of approximate solution for boundary value problems for an elliptic system of partial differential equations arising in elasticity theory The methodology for constructing generalized Fourier series based on the structure of the problem is shown in detail, and all the attending mathematical properties are derived with full rigor A numerical scheme directly related to the series method is developed and employed to compute approximate solutions, illustrated by a variety of examples - [The Finite Simple Groups](https://online.neatra.in/product/the-finite-simple-groups/): Written by a world-renowned expert, this textbook is the first to offer a comprehensive introduction to all the finite simple groups at a level accessible to students. Gives the facts about the finite simple groups and also useful insights into how to work with them, either by hand or on a computer. Includes supplementary material: sn.pub/extras - [The Fascination of Probability, Statistics and their Applications: In Honour of Ole E. Barndorff-Nielsen](https://online.neatra.in/product/the-fascination-of-probability-statistics-and-their-applications-in-honour-of-ole-e-barndorff-nielsen/): Collecting together twenty-three self-contained articles, this volume presents the current research of a number of renowned scientists in both probability theory and statistics as well as their various applications in economics, finance, the physics of wind-blown sand, queueing systems, risk assessment, turbulence and other areas. - [The Evolution of Applied Harmonic Analysis: Models of the Real World](https://online.neatra.in/product/the-evolution-of-applied-harmonic-analysis-models-of-the-real-world/): A sweeping exploration of the development and far-reaching applications of harmonic analysis such as signal processing, digital music, Fourier optics, radio astronomy, crystallography, medical imaging, spectroscopy, and more. - [The Elements of Hawkes Processes](https://online.neatra.in/product/the-elements-of-hawkes-processes/): Hawkes processes are studied and used in a wide range of disciplines: mathematics, social sciences, and earthquake modelling, to name a few. This book presents a selective coverage of the core and recent topics in the broad field of Hawkes processes. - [The Eigenbook](https://online.neatra.in/product/the-eigenbook/): Offers a comprehensive and solid introduction to the theory Includes exercises and solutions Presents a unique collection of knowledge on this theory not available elsewhere - [The Dynamics of Biological Systems](https://online.neatra.in/product/the-dynamics-of-biological-systems/): The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: Séminaire de Mathématiques Supérieures (SMS). It includes new and significant contributions in the field of Dynamical Systems and their applications in Biology, Ecology, and Medicine. - [The Concept of Stability in Numerical Mathematics](https://online.neatra.in/product/the-concept-of-stability-in-numerical-mathematics/): Offers a self-contained presentation of aspects of stability in numerical mathematics Compares and characterizes stability in different subfields of numerical mathematics Covers numerical treatment of ordinary differential equations, discretisation of partial differential equations, discretisation of integral equations and more Includes supplementary material: sn.pub/extras - [The Berge Equilibrium: A Game-Theoretic Framework for the Golden Rule of Ethics](https://online.neatra.in/product/the-berge-equilibrium-a-game-theoretic-framework-for-the-golden-rule-of-ethics/): The goal of this book is to elaborate on the main principles of the theory of the Berge equilibrium by answering the following two questions: What are the basic properties of the Berge equilibrium? Does the Berge equilibrium exist, and how can it be calculated? - [The Arithmetic of Hyperbolic 3-Manifolds](https://online.neatra.in/product/the-arithmetic-of-hyperbolic-3-manifolds/): Brings together much of the existing literature on arithmetic Kleinan groups in a clear and concise way No such presentation currently exists Contains many examples and lots of problems Includes supplementary material: sn.pub/extras - [The Arithmetic of Elliptic Curves](https://online.neatra.in/product/the-arithmetic-of-elliptic-curves/): Second Edition of highly successful introductory textbook, with new content, from acclaimed author Thorough introduction to arithmetic theory of elliptic curves Many exercises to hone the reader's knowledge Text enlightens proofs through general principles, rather than line-by-line algebraic proof Ideal for students to learn the basics of the subject and as a reference for researchers Includes supplementary material: sn.pub/extras - [The Arithmetic of Dynamical Systems](https://online.neatra.in/product/the-arithmetic-of-dynamical-systems/): Provides an entry for graduate students into an active field of research Each chapter includes exercises, examples, and figures Will become a standard reference for researchers in the field Contains a description of many known results and conjectures, together with an extensive bibliography Includes supplementary material: sn.pub/extras - [The Absolute Galois Group of a Semi-Local Field](https://online.neatra.in/product/the-absolute-galois-group-of-a-semi-local-field/): Presents the structure of the absolute Galois groups of distinguished algebraic extensions of the rational numbers Treats Galois theory and profinite groups from both an arithmetic and probabilistic point of view Contains results on free products of profinite groups which appear here for the first time in book form - [Thabit ibn Qurra’s Restoration of Euclid’s Data: Text, Translation, Commentary](https://online.neatra.in/product/thabit-ibn-qurras-restoration-of-euclids-data-text-translation-commentary/): This book provides a critical edition, translation, and study of the version of Euclid’s treatise made by Th?bit ibn Qurra, which is the earliest Arabic version that we have in its entirety. This monograph study examines the conceptual differences between the Greek and Arabic versions of the treatise, beginning with a discussion of the concept of "given" as it was developed by Greek mathematicians. - [Tensor Spaces and Numerical Tensor Calculus](https://online.neatra.in/product/tensor-spaces-and-numerical-tensor-calculus/): First monograph on this subject in the field of numerical mathematics Covers algebraic and functional analysis aspects of tensor spaces Focuses on the numerical treatment - [Tensor Geometry: The Geometric Viewpoint and its Uses](https://online.neatra.in/product/tensor-geometry-the-geometric-viewpoint-and-its-uses/): This treatment of differential geometry and the mathematics required for general relativity makes the subject of this book accessible for the first time to anyone familiar with elementary calculus in one variable and with a knowledge of some vector algebra. - [Tensor Eigenvalues and Their Applications](https://online.neatra.in/product/tensor-eigenvalues-and-their-applications/): Is the first comprehensive book on various applications of eigenvalues of tensors Discusses applied mathematics theoretical topics as well as real-world applications Offers a ready-to-use guide for applied mathematicians and engineers - [Temporal Network Epidemiology](https://online.neatra.in/product/temporal-network-epidemiology/): This book covers recent developments in epidemic process models and related data on temporally varying networks. It is widely recognized that contact networks are indispensable for describing, understanding, and intervening to stop the spread of infectious diseases in human and animal populations| “network epidemiology” is an umbrella term to describe this research field. - [Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces](https://online.neatra.in/product/taylor-coefficients-and-coefficient-multipliers-of-hardy-and-bergman-type-spaces/): This book provides a systematic overview of the theory of Taylor coefficients of functions in some classical spaces of analytic functions and especially of the coefficient multipliers between spaces of Hardy type. Offering a comprehensive reference guide to the subject, it is the first of its kind in this area. - [Systems, Procedures and Voting Rules in Context](https://online.neatra.in/product/systems-procedures-and-voting-rules-in-context/): This book deals with the choice of methods to be applied in the decision processes within organizations. It discusses the use of voting procedures for group decision in business organizations, focusing on decision-making contexts. - [Systems with Persistent Memory](https://online.neatra.in/product/systems-with-persistent-memory/): This text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory. In particular, this class of systems is used to model non-Fickian diffusion in the presence of complex molecular structures. - [Synthetic Aperture Radar (SAR) Data Applications](https://online.neatra.in/product/synthetic-aperture-radar-sar-data-applications/): This carefully curated volume presents an in-depth, state-of-the-art discussion on many applications of Synthetic Aperture Radar (SAR). Integrating interdisciplinary sciences, the book features novel ideas, quantitative methods, and research results, promising to advance computational practices and technologies within the academic and industrial communities. - [Synchronization of Multi-Agent Systems in the Presence of Disturbances and Delays](https://online.neatra.in/product/synchronization-of-multi-agent-systems-in-the-presence-of-disturbances-and-delays/): This monograph explores the synchronization of large-scale, multi-agent dynamical systems in the presence of disturbances, delays, and time-varying networks. Drawing upon their extensive work in this area, the authors provide a thorough treatment of agents with higher-order dynamics, different classes of models for agents, and the underlying networks representing the agents’ actions. - [Symplectic Difference Systems: Oscillation and Spectral Theory](https://online.neatra.in/product/symplectic-difference-systems-oscillation-and-spectral-theory/): This monograph is devoted to covering the main results in the qualitative theory of symplectic difference systems, including linear Hamiltonian difference systems and Sturm-Liouville difference equations, with the emphasis on the oscillation and spectral theory. - [Symmetry: A Mathematical Exploration](https://online.neatra.in/product/symmetry-a-mathematical-exploration/): Stretches the imagination of math and non-math majors alike by exploring symmetry across the built and natural world Supports instructors with a complete set of animated lecture slides prepared by the author Offers an appealing spatial approach to meeting quantitative requirements for non-STEM majors Brings countless illustrations to life using the Springer Nature “More Media” app - [Symmetry, Representations, and Invariants](https://online.neatra.in/product/symmetry-representations-and-invariants/): Early chapters suitable for honors undergraduate or beginning graduate courses, requiring only linear algebra, basic abstract algebra, and advanced calculus Applications to geometry (curvature tensors), topology (Jones polynomial via symmetry), and combinatorics (symmetric group and Young tableaux) Self-contained chapters, appendices, comprehensive bibliography More than 350 exercises (most with detailed hints for solutions) further explore main concepts Serves as an excellent main text for a one-year course in Lie group theory Benefits physicists as well as mathematicians as a reference work Includes supplementary material: sn.pub/extras - [Sustainable Logistics and Transportation: Optimization Models and Algorithms](https://online.neatra.in/product/sustainable-logistics-and-transportation-optimization-models-and-algorithms/): Examines logistics and transportation problems with a sustainability perspective Broadens understanding of new optimization models and algorithms for sustainable logistics and transportation problems Contains models and algorithms with computational experiments and real-life applications - [Surface-Knots in 4-Space](https://online.neatra.in/product/surface-knots-in-4-space/): This introductory volume provides the basics of surface-knots and related topics, not only for researchers in these areas but also for graduate students and researchers who are not familiar with the field.Knot theory is one of the most active research fields in modern mathematics. - [Superconcentration and Related Topics](https://online.neatra.in/product/superconcentration-and-related-topics/): A certain curious feature of random objects, introduced by the author as “super concentration,” and two related topics, “chaos” and “multiple valleys,” are highlighted in this book. - [Studies in Indian Mathematics and Astronomy: Selected Articles of Kripa Shankar Shukla](https://online.neatra.in/product/studies-in-indian-mathematics-and-astronomy-selected-articles-of-kripa-shankar-shukla/): Presents a collection of Professor Kripa Shankar Shukla’ papers highlighting the wide range of his scholarship Consists revised articles of the third unpublished part of “History of Hindu Mathematics” by Bibhutibhusan Datta and Avadhesh Narayan Singh Includes some of Professor Shukla’s reviews of works related to Indian mathematics and astronomy authored by various scholars - [Studies in Evolution Equations and Related Topics](https://online.neatra.in/product/studies-in-evolution-equations-and-related-topics/): This volume features recent development and techniques in evolution equations by renown experts in the field. Each contribution emphasizes the relevance and depth of this important area of mathematics and its expanding reach into the physical, biological, social, and computational sciences as well as into engineering and technology. - [Structures of Domination in Graphs](https://online.neatra.in/product/structures-of-domination-in-graphs/): Surveys include known results with sample proof techniques for each parameter Provides a reference for established researchers and graduate students First chapter includes a glossary of commonly used terms - [Structure and Regularity of Group Actions on One-Manifolds](https://online.neatra.in/product/structure-and-regularity-of-group-actions-on-one-manifolds/): This is the first monograph dedicated solely to regularities of group actions Provides a broad overview of the subject from classical beginnings to areas of active current research Provides a self-contained, accessible treatment of many topics that have previously only appeared in journals - [Structural Additive Theory](https://online.neatra.in/product/structural-additive-theory/): Focuses on areas of Additive Theory that have not been treated in detail in book form Requires little pre-requisite apart from a solid background in undergraduate mathematics and graduate-level introductory algebra Contains detail-rich proofs, making the material more accessible to newcomers in the field Includes supplementary material: sn.pub/extras - [Stochastic Systems with Time Delay: Probabilistic and Thermodynamic Descriptions of non-Markovian Processes far From Equilibrium](https://online.neatra.in/product/stochastic-systems-with-time-delay-probabilistic-and-thermodynamic-descriptions-of-non-markovian-processes-far-from-equilibrium/): Nominated as an outstanding Ph.D. thesis by the Technische Universität Berlin, Berlin, Germany Addresses and advances the challenging problem of strongly fluctuating systems that include time delay Predicts intriguing thermodynamic properties such as reversed heat flow in non-Markovian systems - [Stochastic Simulation and Monte Carlo Methods: Mathematical Foundations of Stochastic Simulation](https://online.neatra.in/product/stochastic-simulation-and-monte-carlo-methods-mathematical-foundations-of-stochastic-simulation/): Combines advanced mathematical tools and theoretical analysis of stochastic numerical methods at a high level Provides methods to reach optimal results on the accuracy of Monte Carlo simulations of stochastic processes Contains exercises in the text and problem sets of increasing demand at the end of each chapter ? Includes supplementary material: sn.pub/extras - [Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology](https://online.neatra.in/product/stochastic-processes-multiscale-modeling-and-numerical-methods-for-computational-cellular-biology/): This book focuses on the modeling and mathematical analysis of stochastic dynamical systems along with their simulations. The collected chapters will review fundamental and current topics and approaches to dynamical systems in cellular biology. - [Stochastic Processes in Cell Biology](https://online.neatra.in/product/stochastic-processes-in-cell-biology/): This book develops the theory of continuous and discrete stochastic processes within the context of cell biology. In the second edition the material has been significantly expanded, particularly within the context of nonequilibrium and self-organizing systems. - [Stochastic Processes and Long Range Dependence](https://online.neatra.in/product/stochastic-processes-and-long-range-dependence/): This monograph is a gateway for researchers and graduate students to explore the profound, yet subtle, world of long-range dependence (also known as long memory). The text is organized around the probabilistic properties of stationary processes that are important for determining the presence or absence of long memory. - [Stochastic Processes - Inference Theory](https://online.neatra.in/product/stochastic-processes-inference-theory/): This is the revised and enlarged 2nd edition of the authors’ original text, which was intended to be a modest complement to Grenander's fundamental memoir on stochastic processes and related inference theory. The present volume gives a substantial account of regression analysis, both for stochastic processes and measures, and includes recent material on Ridge regression with some unexpected applications, for example in econometrics. - [Stochastic Processes](https://online.neatra.in/product/stochastic-processes/): Gives a rigorous yet understandable presentation of the theory of stochastic processes Presents the theory of distributions of functionals of diffusions including local times, rarely found in literature Devotes serious attention to the Brownian local time Includes many examples and exercises Includes supplementary material: sn.pub/extras - [Stochastic Optimal Control in Infinite Dimension](https://online.neatra.in/product/stochastic-optimal-control-in-infinite-dimension/): Providing an introduction to stochastic optimal control in in?nite dimension, this book gives a complete account of the theory of second-order HJB equations in in?nite-dimensional Hilbert spaces, focusing on its applicability to associated stochastic optimal control problems. - [Stochastic Integration in Banach Spaces](https://online.neatra.in/product/stochastic-integration-in-banach-spaces/): Considering Poisson random measures as the driving sources for stochastic (partial) differential equations allows us to incorporate jumps and to model sudden, unexpected phenomena. By using such equations the present book introduces a new method for modeling the states of complex systems perturbed by random sources over time, such as interest rates in financial markets or temperature distributions in a specific region. - [Stochastic Evolution Systems](https://online.neatra.in/product/stochastic-evolution-systems/): This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations. The emphasis lies on second-order stochastic parabolic equations and their connection to random dynamical systems. - [Stochastic Elasticity: A Nondeterministic Approach to the Nonlinear Field Theory](https://online.neatra.in/product/stochastic-elasticity-a-nondeterministic-approach-to-the-nonlinear-field-theory/): Stochastic elasticity is a fast developing field that combines nonlinear elasticity and stochastic theories in order to significantly improve model predictions by accounting for uncertainties in the mechanical responses of materials. - [Stochastic Differential Equations, Backward SDEs, Partial Differential Equations](https://online.neatra.in/product/stochastic-differential-equations-backward-sdes-partial-differential-equations/): This research monograph presents results to researchers in stochastic calculus, forward and backward stochastic differential equations, connections between diffusion processes and second order partial differential equations (PDEs), and financial mathematics. It pays special attention to the relations between SDEs/BSDEs and second order PDEs under minimal regularity assumptions, and also extends those results to equations with multivalued coefficients. - [Stochastic Control Theory](https://online.neatra.in/product/stochastic-control-theory/): This book offers a systematic introduction to the optimal stochastic control theory via the dynamic programming principle, which is a powerful tool to analyze control problems.First we consider completely observable control problems with finite horizons. - [Stochastic Calculus via Regularizations](https://online.neatra.in/product/stochastic-calculus-via-regularizations/): The book constitutes an introduction to stochastic calculus, stochastic differential equations and related topics such as Malliavin calculus. On the other hand it focuses on the techniques of stochastic integration and calculus via regularization initiated by the authors. - [Stochastic Calculus and Applications](https://online.neatra.in/product/stochastic-calculus-and-applications/): Completely revised and greatly expanded, the new edition of this text takes readers who have been exposed to only basic courses in analysis through the modern general theory of random processes and stochastic integrals as used by systems theorists, electronic engineers and, more recently, those working in quantitative and mathematical finance. - [Stochastic Approaches to Electron Transport in Micro- and Nanostructures](https://online.neatra.in/product/stochastic-approaches-to-electron-transport-in-micro-and-nanostructures/): Presents the synergistic link between the development of mathematical models in micro- and nanoelectronics and the emergence of stochastic methods for their simulation Describes the evolution of the stochastic algorithms from classical to quantum transport conditions Fills the gap between other monographs which focus on the physical or numerical theory - [Stochastic Analysis, Filtering, and Stochastic Optimization: A Commemorative Volume to Honor Mark H. A. Davis's Contributions](https://online.neatra.in/product/stochastic-analysis-filtering-and-stochastic-optimization-a-commemorative-volume-to-honor-mark-h-a-daviss-contributions/): This volume is a collection of research works to honor the late Professor Mark H.A. Davis, whose pioneering work in the areas of Stochastic Processes, Filtering, and Stochastic Optimization spans more than five decades. Invited authors include his dissertation advisor, past collaborators, colleagues, mentees, and graduate students of Professor Davis, as well as scholars who have worked in the above areas. - [Stochastic Analysis for Poisson Point Processes: Malliavin Calculus, Wiener-Itô Chaos Expansions and Stochastic Geometry](https://online.neatra.in/product/stochastic-analysis-for-poisson-point-processes-malliavin-calculus-wiener-ito-chaos-expansions-and-stochastic-geometry/): Stochastic geometry is the branch of mathematics that studies geometric structures associated with random configurations, such as random graphs, tilings and mosaics. Due to its close ties with stereology and spatial statistics, the results in this area are relevant for a large number of important applications, e.g. to the mathematical modeling and statistical analysis of telecommunication networks, geostatistics and image analysis. - [Stochastic Analysis](https://online.neatra.in/product/stochastic-analysis/): This book is intended for university seniors and graduate students majoring in probability theory or mathematical finance. In the first chapter, results in probability theory are reviewed. - [Stereotomy](https://online.neatra.in/product/stereotomy/): This book deals with the general concepts in stereotomy and its connection with descriptive geometry, the social background of its practitioners and theoreticians, the general methods and tools of this technology, and the specific procedures for the members built in hewn stone, including arches, squinches, stairs and vaults, ending with a chapter discussing the open problems in this field. - [Steps into Analytic Number Theory: A Problem-Based Introduction](https://online.neatra.in/product/steps-into-analytic-number-theory-a-problem-based-introduction/): Challenges students ranging from high school to graduate levels to develop problem-solving skills in analytic number theory Balances elementary yet ingenious problems with applications not usually seen in classes Suitable as a rich supplementary text in Analytic Number Theory for undergraduate and graduate courses - [Stephen of Pisa and Antioch: Liber Mamonis](https://online.neatra.in/product/stephen-of-pisa-and-antioch-liber-mamonis/): This volume aims to make Stephen of Pisa and Antioch’s work on the celestial sciences accessible to a wider readership, providing not just the text but a translation and introduction as well. The edition is based on the only known manuscript of the Liber Mamonis, MS Cambrai, Médiathèque d’Agglomération, A 930. - [Stein Manifolds and Holomorphic Mappings](https://online.neatra.in/product/stein-manifolds-and-holomorphic-mappings/): This book, now in a carefully revised second edition, provides an up-to-date account of Oka theory, including the classical Oka-Grauert theory and the wide array of applications to the geometry of Stein manifolds. Oka theory is the field of complex analysis dealing with global problems on Stein manifolds which admit analytic solutions in the absence of topological obstructions. - [Statistics with Julia: Fundamentals for Data Science, Machine Learning and Artificial Intelligence](https://online.neatra.in/product/statistics-with-julia-fundamentals-for-data-science-machine-learning-and-artificial-intelligence/): Includes over 200 short code examples to illustrate dozens of key statistics concepts Solidifies the understanding of probability and statistics of professionals that are already working in data science, machine learning, or artificial intelligence Focuses on concepts to improve fundamental understanding - [Statistical Universals of Language: Mathematical Chance vs. Human Choice](https://online.neatra.in/product/statistical-universals-of-language-mathematical-chance-vs-human-choice/): Covers the universal mathematical properties of natural language from Zipf's law to the presentExplains how the properties show the essential limitation of language models in natural language processingSpeculates on how the properties relate to linguistic grammar, word formation, and meaning - [Statistical Methods in Biomarker and Early Clinical Development](https://online.neatra.in/product/statistical-methods-in-biomarker-and-early-clinical-development/): This contributed volume offers a much-needed overview of the statistical methods in early clinical drug and biomarker development. Chapters are written by expert statisticians with extensive experience in the pharmaceutical industry and regulatory agencies. - [Statistical Inference and Machine Learning for Big Data](https://online.neatra.in/product/statistical-inference-and-machine-learning-for-big-data/): This book presents a variety of advanced statistical methods at a level suitable for advanced undergraduate and graduate students as well as for others interested in familiarizing themselves with these important subjects. It proceeds to illustrate these methods in the context of real-life applications in a variety of areas such as genetics, medicine, and environmental problems. - [Statistical Foundations of Actuarial Learning and its Applications](https://online.neatra.in/product/statistical-foundations-of-actuarial-learning-and-its-applications/): This open access book discusses the statistical modeling of insurance problems, a process which comprises data collection, data analysis and statistical model building to forecast insured events that may happen in the future. It presents the mathematical foundations behind these fundamental statistical concepts and how they can be applied in daily actuarial practice. - [Statistical Distributions: Applications and Parameter Estimates](https://online.neatra.in/product/statistical-distributions-applications-and-parameter-estimates/): This book gives a description of the group of statistical distributions that have ample application to studies in statistics and probability. Understanding statistical distributions is fundamental for researchers in almost all disciplines. - [Stabilization of Kelvin-Voigt Damped Systems](https://online.neatra.in/product/stabilization-of-kelvin-voigt-damped-systems/): This monograph examines the stability of various coupled systems with local Kelvin-Voigt damping. The development of this area is thoroughly reviewed along with the authors’ contributions. - [Stability Theory for Dynamic Equations on Time Scales](https://online.neatra.in/product/stability-theory-for-dynamic-equations-on-time-scales/): This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. - [Stability of Functional Equations in Banach Algebras](https://online.neatra.in/product/stability-of-functional-equations-in-banach-algebras/): Some of the most recent and significant results on homomorphisms and derivations in Banach algebras, quasi-Banach algebras, C*-algebras, C*-ternary algebras, non-Archimedean Banach algebras and multi-normed algebras are presented in this book. A brief introduction for functional equations and their stability is provided with historical remarks. - [Stability of Dynamical Systems](https://online.neatra.in/product/stability-of-dynamical-systems/): The second edition of this textbook provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems. - [Stability Analysis of Nonlinear Systems](https://online.neatra.in/product/stability-analysis-of-nonlinear-systems/): The book investigates stability theory in terms of two different measure, exhibiting the advantage of employing families of Lyapunov functions and treats the theory of a variety of inequalities, clearly bringing out the underlying theme. It also demonstrates manifestations of the general Lyapunov method, showing how this technique can be adapted to various apparently diverse nonlinear problems. - [Srinivasa Ramanujan: Life and Work of a Natural Mathematical Genius, Swayambhu](https://online.neatra.in/product/srinivasa-ramanujan-life-and-work-of-a-natural-mathematical-genius-swayambhu/): This book offers a unique account on the life and works of Srinivasa Ramanujan—often hailed as the greatest “natural” mathematical genius. Sharing valuable insights into the many stages of Ramanujan’s life, this book provides glimpses into his prolific research on highly composite numbers, partitions, continued fractions, mock theta functions, arithmetic, and hypergeometric functions which led the author to discover a new summation theorem. - [Square Matrices of Order 2: Theory, Applications, and Problems](https://online.neatra.in/product/square-matrices-of-order-2-theory-applications-and-problems/): This unique and innovative book presents an exciting and complete detail of all the important topics related to the theory of square matrices of order 2. The readers exploring every detailed aspect of matrix theory are gently led toward understanding advanced topics. - [Splitting Methods in Communication, Imaging, Science, and Engineering](https://online.neatra.in/product/splitting-methods-in-communication-imaging-science-and-engineering/): This book is about computational methods based on operator splitting. It consists of twenty-three chapters written by recognized splitting method contributors and practitioners, and covers a vast spectrum of topics and application areas, including computational mechanics, computational physics, image processing, wireless communication, nonlinear optics, and finance. - [Spherical Sampling](https://online.neatra.in/product/spherical-sampling/): This book presents, in a consistent and unified overview, results and developments in the field of today´s spherical sampling, particularly arising in mathematical geosciences. - [Spectral Theory of Bounded Linear Operators](https://online.neatra.in/product/spectral-theory-of-bounded-linear-operators/): This textbook introduces spectral theory for bounded linear operators by focusing on (i) the spectral theory and functional calculus for normal operators acting on Hilbert spaces; (ii) the Riesz-Dunford functional calculus for Banach-space operators; and (iii) the Fredholm theory in both Banach and Hilbert spaces. Detailed proofs of all theorems are included and presented with precision and clarity, especially for the spectral theorems, allowing students to thoroughly familiarize themselves with all the important concepts. - [Spectral Theory](https://online.neatra.in/product/spectral-theory/): This textbook offers a concise introduction to spectral theory, designed for newcomers to functional analysis. Curating the content carefully, the author builds to a proof of the spectral theorem in the early part of the book. - [Spatial Interaction Models: Facility Location Using Game Theory](https://online.neatra.in/product/spatial-interaction-models-facility-location-using-game-theory/): Facility location theory develops the idea of locating one or more facilities by optimizing suitable criteria such as minimizing transportation cost, or capturing the largest market share. - [Space-Time Geometries for Motion and Perception in the Brain and the Arts](https://online.neatra.in/product/space-time-geometries-for-motion-and-perception-in-the-brain-and-the-arts/): Discusses the state of the art in motor control, perception and memory Addresses a large readership from humanities and natural sciences Presents a novel approach including video material, images and digital media - [Space-Time Algebra](https://online.neatra.in/product/space-time-algebra/): This small book started a profound revolution in the development of mathematical physics, one which has reached many working physicists already, and which stands poised to bring about far-reaching change in the future. At its heart is the use of Clifford algebra to unify otherwise disparate mathematical languages, particularly those of spinors, quaternions, tensors and differential forms. - [Spaces of Holomorphic Functions in the Unit Ball](https://online.neatra.in/product/spaces-of-holomorphic-functions-in-the-unit-ball/): Only book to discuss spaces of holomorphic functions in the unit ball - [Gift a Napkin. Give Dignity. - iNNER-EYE's Naathi Care](https://online.neatra.in/product/udaan-napkins-pad-inner-eyes-buy-one-gift-one/): We are proud to introduce a meaningful initiative under our menstrual hygiene cause — the “Buy One, Gift One” model for Udaan Pads. Access to safe and hygienic menstrual products remains a challenge for many women and girls in underserved communities. Due to lack of awareness and affordability, many are forced to rely on unsafe alternatives, affecting their health, dignity, and confidence. Through this initiative, you can make a direct and immediate impact: - [Udaan Napkins Pad](https://online.neatra.in/product/udaan-napkins-pad/): Our firm is ranked amongst the reputed names in the market for offering an extensive range of Udaan Large Sanitary Pad. Besides, we present this series to our clients at nominal prices. - [Yosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications](https://online.neatra.in/product/yosida-approximations-of-stochastic-differential-equations-in-infinite-dimensions-and-applications/): This research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs) in infinite dimensions and their applications into a single cohesive work. The author provides a clear and systematic introduction to the Yosida approximation method and justifies its power by presenting its applications in some practical topics such as stochastic stability and stochastic optimal control. - [Yield Curves and Forward Curves for Diffusion Models of Short Rates](https://online.neatra.in/product/yield-curves-and-forward-curves-for-diffusion-models-of-short-rates/): This book is dedicated to the study of the term structures of the yields of zero-coupon bonds. The methods it describes differ from those usually found in the literature in that the time variable is not the term to maturity but the interest rate duration, or another convenient non-linear transformation of terms. - [World Women in Mathematics 2018](https://online.neatra.in/product/world-women-in-mathematics-2018/): The first World Meeting for Women in Mathematics - (WM)² - was a satellite event of the International Congress of Mathematicians (ICM) 2018 in Rio de Janeiro. - [Women in Numbers Europe III](https://online.neatra.in/product/women-in-numbers-europe-iii/): This volume includes articles spanning several research areas in number theory, such as arithmetic geometry, algebraic number theory, analytic number theory, and applications in cryptography and coding theory. Most of the articles are the results of collaborations started at the 3rd edition of the Women in Numbers Europe (WINE) conference between senior and mid-level faculty, junior faculty, postdocs, and graduate students. - [Women in Mathematics: Celebrating the Centennial of the Mathematical Association of America](https://online.neatra.in/product/women-in-mathematics-celebrating-the-centennial-of-the-mathematical-association-of-america/): This collection of refereed papers celebrates the contributions, achievements, and progress of female mathematicians, mostly in the 20th and 21st centuries. - [Women in Commutative Algebra](https://online.neatra.in/product/women-in-commutative-algebra/): This volume features contributions from the Women in Commutative Algebra (WICA) workshop held at the Banff International Research Station (BIRS) from October 20-25, 2019, run by the Pacific Institute of Mathematical Sciences (PIMS). - [Winning at Litigation through Decision Analysis: Creating and Executing Winning Strategies in any Litigation or Dispute](https://online.neatra.in/product/winning-at-litigation-through-decision-analysis-creating-and-executing-winning-strategies-in-any-litigation-or-dispute/): Numerous step-by-step tutorials help the reader to learn quickly Problems included at the end of each chapter Includes complete examples of how to structure most common legal questions - [Why Prove it Again?: Alternative Proofs in Mathematical Practice](https://online.neatra.in/product/why-prove-it-again-alternative-proofs-in-mathematical-practice/): This monograph considers several well-known mathematical theorems and asks the question, “Why prove it again?” while examining alternative proofs. It explores the different rationales mathematicians may have for pursuing and presenting new proofs of previously established results, as well as how they judge whether two proofs of a given result are different. - [Well-Quasi Orders in Computation, Logic, Language and Reasoning: A Unifying Concept of Proof Theory, Automata Theory, Formal Languages and Descriptive Set Theory](https://online.neatra.in/product/well-quasi-orders-in-computation-logic-language-and-reasoning-a-unifying-concept-of-proof-theory-automata-theory-formal-languages-and-descriptive-set-theory/): This book bridges the gaps between logic, mathematics and computer science by delving into the theory of well-quasi orders, also known as wqos. - [Weighted Polynomial Approximation and Numerical Methods for Integral Equations](https://online.neatra.in/product/weighted-polynomial-approximation-and-numerical-methods-for-integral-equations/): Combination of interpolation processes with numerical analysis of operator equations and applications Comprehensive review on weighted polynomial approximation on bounded and unbounded intervals From Fredholm integral equations to strongly singular linear and nonlinear integral equations - [Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation](https://online.neatra.in/product/weakly-differentiable-functions-sobolev-spaces-and-functions-of-bounded-variation/): The term "weakly differentiable functions" in the title refers to those inte­ n grable functions defined on an open subset of R whose partial derivatives in the sense of distributions are either LP functions or (signed) measures with finite total variation. - [Waves in Flows](https://online.neatra.in/product/waves-in-flows/): Offers an overview of the area of waves in fluids and the role they play in the mathematical analysis and numerical simulation of fluid flows Presents the connections between mathematics and physics in an accessible and flexible way, allowing readers to explore the material as deeply as they choose Features a wide range of topics, including environmental, biomedical, and industrial applications - [Waves and Compressible Flow](https://online.neatra.in/product/waves-and-compressible-flow/): Now in its second edition, this book continues to give readers a broad mathematical basis for modelling and understanding the wide range of wave phenomena encountered in modern applications. New and expanded material includes topics such as elastoplastic waves and waves in plasmas, as well as new exercises. - [Wavelet Solutions for Reaction–Diffusion Problems in Science and Engineering](https://online.neatra.in/product/wavelet-solutions-for-reaction-diffusion-problems-in-science-and-engineering/): The book focuses on how to implement discrete wavelet transform methods in order to solve problems of reaction–diffusion equations and fractional-order differential equations that arise when modelling real physical phenomena. - [Wavelet Packets and Their Statistical Applications](https://online.neatra.in/product/wavelet-packets-and-their-statistical-applications/): This book presents the basic concepts of functional analysis, wavelet analysis and thresholding. It begins with an elementary chapter on preliminaries such as basic concepts of functional analysis, a brief tour of the wavelet transform, Haar scaling functions and function space, wavelets, symlets wavelets and coiflets wavelets. - [Wavelet Analysis on Local Fields of Positive Characteristic](https://online.neatra.in/product/wavelet-analysis-on-local-fields-of-positive-characteristic/): This book discusses the theory of wavelets on local fields of positive characteristic. The discussion starts with a thorough introduction to topological groups and local fields. - [Vector Generalized Linear and Additive Models: With an Implementation in R](https://online.neatra.in/product/vector-generalized-linear-and-additive-models-with-an-implementation-in-r/): This book presents a greatly enlarged statistical framework compared to generalized linear models (GLMs) with which to approach regression modelling. Comprising of about half-a-dozen major classes of statistical models, and fortified with necessary infrastructure to make the models more fully operable, the framework allows analyses based on many semi-traditional applied statistics models to be performed as a coherent whole. - [Varying Gravity: Dirac’s Legacy in Cosmology and Geophysics](https://online.neatra.in/product/varying-gravity-diracs-legacy-in-cosmology-and-geophysics/): The main focus of this book is on the interconnection of two unorthodox scientific ideas, the varying-gravity hypothesis and the expanding-earth hypothesis. As such, it provides a fascinating insight into a nearly forgotten chapter in both the history of cosmology and the history of the earth sciences. - [Variational Views in Mechanics](https://online.neatra.in/product/variational-views-in-mechanics/): This volume provides a timely survey of interactions between the calculus of variations and theoretical and applied mechanics. Chapters have been significantly expanded since preliminary versions appeared in a special issue of the Journal of Optimization Theory and Applications (184(1), 2020) on “Calculus of Variations in Mechanics and Related Fields”. - [Variational Analysis of Regular Mappings: Theory and Applications](https://online.neatra.in/product/variational-analysis-of-regular-mappings-theory-and-applications/): Presents a detailed study of regularity properties of mappings in metric spaces Covers mappings with specific structures in Banach and finite dimensional spaces Offers new and previously unrecorded applications of regularity theory Emphasizes the quantitative character of regularity theory Includes supplementary material: sn.pub/extras - [Variational Analysis and Applications](https://online.neatra.in/product/variational-analysis-and-applications/): Presents applications focusing on new classes of variational problems and models from economics, applied sciences, and engineering Comprehensive commentaries emphasize the essence of major results, track the genesis of ideas, provide historical comments, and illuminate challenging open questions and directions for future research Large number of exercises help readers better understand the basic material and develop research skills - [Variable Lebesgue Spaces: Foundations and Harmonic Analysis](https://online.neatra.in/product/variable-lebesgue-spaces-foundations-and-harmonic-analysis/): Proofs are developed in detail, illustrating the standard techniques used in the field? Accessible for research mathematicians as well as graduate students Provides a thorough and up to date bibliographic treatment that makes clear the history and development of the field Includes supplementary material: sn.pub/extras - [V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics](https://online.neatra.in/product/v-a-yankov-on-non-classical-logics-history-and-philosophy-of-mathematics/): This book is dedicated to V.A. Yankov’s seminal contributions to the theory of propositional logics. His papers, published in the 1960s, are highly cited even today. The Yankov characteristic formulas have become a very useful tool in propositional, modal and algebraic logic. - [Using Mathematics to Understand Biological Complexity: From Cells to Populations](https://online.neatra.in/product/using-mathematics-to-understand-biological-complexity-from-cells-to-populations/): Reports on current collaborative research in mathematical biology Showcases how mathematics is used to solve a variety of specific problems originating in biology and medicine Features a wide selection of topics - [Using Algebraic Geometry](https://online.neatra.in/product/using-algebraic-geometry/): Includes supplementary material: sn.pub/extras - [Unpublished Manuscripts: from 1951 to 2007](https://online.neatra.in/product/unpublished-manuscripts-from-1951-to-2007/): This book presents, for the first time, the unpublished manuscripts of Lars Hörmander, written between 1951 and 2007. Hörmander himself organised the manuscripts and also wrote the notes explaining their origins, presenting the material in the form he fully intended it to be published in. - [University of Toronto Mathematics Competition (2001–2015)](https://online.neatra.in/product/university-of-toronto-mathematics-competition-2001-2015/): This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combinatorics, basic group theory, and number theory. - [Universal Algebraic Logic: Dedicated to the Unity of Science](https://online.neatra.in/product/universal-algebraic-logic-dedicated-to-the-unity-of-science/): This book gives a comprehensive introduction to Universal Algebraic Logic. - [Univariate Stable Distributions: Models for Heavy Tailed Data](https://online.neatra.in/product/univariate-stable-distributions-models-for-heavy-tailed-data/): Introduces the theory, numerical algorithms, and statistical methods associated with stable distributions with an accessible, non-technical approach Highlights the many practical applications of stables distributions, including in finance, statistics, engineering, physics, and more Presents a number of helpful exercises, as well as links to free software to apply the models in practice - [Understanding Analysis](https://online.neatra.in/product/understanding-analysis/): This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. - [Undergraduate Mathematics Competitions (1995–2016): Taras Shevchenko National University of Kyiv](https://online.neatra.in/product/undergraduate-mathematics-competitions-1995-2016-taras-shevchenko-national-university-of-kyiv/): Contains many original and advanced problems for undergraduate students Includes problems for all obligatory mathematical courses, including calculus, algebra, geometry, complex analysis, measure theory, and probability theory Includes detailed solutions in Part II to all problems presented in Part I Useful to university instructors for composing assignments and preparing course material Includes supplementary material: sn.pub/extras - [Uncertainty Quantification: An Accelerated Course with Advanced Applications in Computational Engineering](https://online.neatra.in/product/uncertainty-quantification-an-accelerated-course-with-advanced-applications-in-computational-engineering/): Presents fundamental mathematical tools of probability and statistics that are directly useful for uncertainty quantification Includes several topics not currently published in research monographs Covers the basic models and advanced methodologies for constructing the stochastic modeling of uncertainties - [Uncertainty Quantification for Hyperbolic and Kinetic Equations](https://online.neatra.in/product/uncertainty-quantification-for-hyperbolic-and-kinetic-equations/): This book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems. The contributions address a range of different aspects, including: polynomial chaos expansions, perturbation methods, multi-level Monte Carlo methods, importance sampling, and moment methods. - [Unbounded Self-adjoint Operators on Hilbert Space](https://online.neatra.in/product/unbounded-self-adjoint-operators-on-hilbert-space/): Includes important topics which are not yet or not completely presented in a text book Numerous well-choosen examples and exercises help the reader to learn dealing with unbounded operators Treats unbounded self-adjoint operators with the emphasis on applications in mathematical physics Includes supplementary material: sn.pub/extras Includes supplementary material: sn.pub/extras - [Tutorials on Multiresolution in Geometric Modelling: Summer School Lecture Notes](https://online.neatra.in/product/tutorials-on-multiresolution-in-geometric-modelling-summer-school-lecture-notes/): Only textbook on multiresolution methods for geometric modelling Central topic in visualisaion which is of great importance for industrial applications Includes supplementary material: sn.pub/extras - [Turing’s Revolution: The Impact of His Ideas about Computability](https://online.neatra.in/product/turings-revolution-the-impact-of-his-ideas-about-computability/): This book provides an overview of the confluence of ideas in Turing’s era and work and examines the impact of his work on mathematical logic and theoretical computer science. It combines contributions by well-known scientists on the history and philosophy of computability theory as well as on generalised Turing computability. - [Trust and Credit in Organizations and Institutions: As Viewed from the Evolution of Cooperation](https://online.neatra.in/product/trust-and-credit-in-organizations-and-institutions-as-viewed-from-the-evolution-of-cooperation/): This book shows that evolutionary game theory can unravel how mutual cooperation, trust, and credit in a group emerge in organizations and institutions. Some organizations and institutions, such as insurance unions, credit unions, and banks, originated from very simple mutual-aid groups. - [Trigonometric Sums and Their Applications](https://online.neatra.in/product/trigonometric-sums-and-their-applications/): This volume presents in a unified manner both classic as well as modern research results devoted to trigonometric sums. Such sums play an integral role in the formulation and understanding of a broad spectrum of problems which range over surprisingly many and different research areas. - [Triangulated Categories of Mixed Motives](https://online.neatra.in/product/triangulated-categories-of-mixed-motives/): Provides a complete theory of triangulated rational mixed motives satisfying Grothendieck’s six operations, including the state of the art for integral coefficients Gives a systematic, self-contained, account of Grothendieck’s six functor formalism Includes a modern presentation of descent theory with applications to K-theory Explains the close relationship between mixed Weil cohomologies and coefficient systems - [Trends in Control Theory and Partial Differential Equations](https://online.neatra.in/product/trends-in-control-theory-and-partial-differential-equations/): Presents cutting-edge results in the areas of control theory and PDEs, giving a broad picture of recent advances Contains contributions from leading experts Includes theoretical studies and models for applications - [Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models: Selected Works from the BIOMAT Consortium Lectures, Rio de Janeiro, Brazil, 2021](https://online.neatra.in/product/trends-in-biomathematics-stability-and-oscillations-in-environmental-social-and-biological-models-selected-works-from-the-biomat-consortium-lectures-rio-de-janeiro-brazil-2021/): This contributed volume convenes selected, peer-reviewed works presented at the BIOMAT 2021 International Symposium, which was virtually held on November 1–5, 2021, with its organization staff based in Rio de Janeiro, Brazil. - [Trends in Biomathematics: Modeling, Optimization and Computational Problems: Selected works from the BIOMAT Consortium Lectures, Moscow 2017](https://online.neatra.in/product/trends-in-biomathematics-modeling-optimization-and-computational-problems-selected-works-from-the-biomat-consortium-lectures-moscow-2017/): This book brings together carefully selected, peer-reviewed works on mathematical biology presented at the BIOMAT International Symposium on Mathematical and Computational Biology, which was held at the Institute of Numerical Mathematics, Russian Academy of Sciences, in October 2017, in Moscow. - [Transversals in Linear Uniform Hypergraphs](https://online.neatra.in/product/transversals-in-linear-uniform-hypergraphs/): This book gives the state-of-the-art on transversals in linear uniform hypergraphs. The notion of transversal is fundamental to hypergraph theory and has been studied extensively. - [Transport Processes at Fluidic Interfaces](https://online.neatra.in/product/transport-processes-at-fluidic-interfaces/): There are several physico-chemical processes that determine the behavior of multiphase fluid systems – e.g., the fluid dynamics in the different phases and the dynamics of the interface(s), mass transport between the fluids, adsorption effects at the interface, and transport of surfactants on the interface – and result in heterogeneous interface properties. - [Transionospheric Synthetic Aperture Imaging](https://online.neatra.in/product/transionospheric-synthetic-aperture-imaging/): This landmark monograph presents the most recent mathematical developments in the analysis of ionospheric distortions of SAR images and offers innovative new strategies for their mitigation. - [Trails in Kinetic Theory](https://online.neatra.in/product/trails-in-kinetic-theory/): In recent decades, kinetic theory - originally developed as a field of mathematical physics - has emerged as one of the most prominent fields of modern mathematics. In recent years, there has been an explosion of applications of kinetic theory to other areas of research, such as biology and social sciences. - [Traffic Congestion Control by PDE Backstepping](https://online.neatra.in/product/traffic-congestion-control-by-pde-backstepping/): This monograph explores the design of controllers that suppress oscillations and instabilities in congested traffic flow using PDE backstepping methods. The first part of the text is concerned with basic backstepping control of freeway traffic using the Aw-Rascle-Zhang (ARZ) second-order PDE model. - [Towards Robust Algebraic Multigrid Methods for Nonsymmetric Problems](https://online.neatra.in/product/towards-robust-algebraic-multigrid-methods-for-nonsymmetric-problems/): This thesis presents a rigorous, abstract analysis of multigrid methods for positive nonsymmetric problems, particularly suited to algebraic multigrid, with a completely new approach to nonsymmetry which is based on a new concept of absolute value for nonsymmetric operators. - [Toward Mathematics for All: Reinterpreting History of Mathematics in North America 1607-1865](https://online.neatra.in/product/toward-mathematics-for-all-reinterpreting-history-of-mathematics-in-north-america-1607-1865/): This book presents a history of mathematic between 1607 and 1865 in that part of mainland North America which is north of Mexico but excludes the present-day Canada and Alaska. - [Topology of Infinite-Dimensional Manifolds](https://online.neatra.in/product/topology-of-infinite-dimensional-manifolds/): Provides knowledge of fundamental results containing characterizations of various infinite-dimensional manifolds Contains details of most proofs so that graduate students in topology need to make only minimum reference to literature Presents combinatorial 8-manifolds with their characterization and a proof of the Hauptvermutung for them - [Topology and Geometry](https://online.neatra.in/product/topology-and-geometry/): The golden age of mathematics-that was not the age of Euclid, it is ours. C. J. KEYSER This time of writing is the hundredth anniversary of the publication (1892) of Poincare's first note on topology, which arguably marks the beginning of the subject of algebraic, or "combinatorial," topology. There was earlier scattered work by Euler, Listing (who coined the word "topology"), Mobius and his band, Riemann, Klein, and Betti. Indeed, even as early as 1679, Leibniz indicated the desirability of creating a geometry of the topological type. - [Topology and Approximate Fixed Points](https://online.neatra.in/product/topology-and-approximate-fixed-points/): This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps. It offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods, for a wide variety of topologies and maps. - [Topological Vector Spaces and Their Applications](https://online.neatra.in/product/topological-vector-spaces-and-their-applications/): This book gives a compact exposition of the fundamentals of the theory of locally convex topological vector spaces. Furthermore it contains a survey of the most important results of a more subtle nature, which cannot be regarded as basic, but knowledge which is useful for understanding applications. - [Topological Methods in Hydrodynamics](https://online.neatra.in/product/topological-methods-in-hydrodynamics/): The first and the only monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magneto-hydrodynamics from a unified point of view. It has become a classical book and the standard reference by now: Google Scholar includes nearly 1800 citations of this book It includes over 70 figures, which helps the reader to "visualise", as opposed to "compute" hydrodynamics It includes the survey of recent developments for the last 20 years in this now-flourishing field of topological and geometric hydrodynamics. The corresponding survey bibliography includes over 250 titles - [Topological Methods in Group Theory](https://online.neatra.in/product/topological-methods-in-group-theory/): Covers important topics not covered elsewhere Provides an accessible review of general topology Provides in detail the topological tools needed for group theory Contains more than 40 figures Immense practical value as each chapter includes exercises throughout Self-contained and suitable for graduate courses on algebraic topology or on its applications to group theory - [Topological Data Analysis for Scientific Visualization](https://online.neatra.in/product/topological-data-analysis-for-scientific-visualization/): 84 color images, including 20 high quality illustrations in the background section, nicely introducing in images the key concepts of topological data analysis Special chapter on application examples, illustrating concrete use cases of topological data analysis pipelines in combustion and chemistry Special chapter on the perspectives of topological data analysis regarding the upcoming generation of super-computers (exascale computing) - [Topics on Continua](https://online.neatra.in/product/topics-on-continua/): This book is a significant companion text to the existing literature on continuum theory. It opens with background information of continuum theory, so often missing from the preceding publications, and then explores the following topics: inverse limits, the Jones set function T, homogenous continua, and n-fold hyperspaces. - [Topics in Groups and Geometry: Growth, Amenability, and Random Walks](https://online.neatra.in/product/topics-in-groups-and-geometry-growth-amenability-and-random-walks/): Provides an introduction to geometric group theory based on the unifying theme of Gromov’s theorem Shows the connections between a wide range of topics in geometric group theory Collects together, for the first time, results previously scattered throughout the literature With a Foreword by Efim I. Zelmanov - [Topics in Global Real Analytic Geometry](https://online.neatra.in/product/topics-in-global-real-analytic-geometry/): In the first two chapters we review the theory developped by Cartan, Whitney and Tognoli. Then Nullstellensatz is proved both for Stein algebras and for the algebra of real analytic functions on a C-analytic space. - [Topics in Domination in Graphs](https://online.neatra.in/product/topics-in-domination-in-graphs/): This volume comprises 16 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. The focus is on primary dominating sets such as paired domination, connected domination, restrained domination, dominating functions, Roman domination, and power domination. - [Topics in Clifford Analysis: Special Volume in Honor of Wolfgang Sprößig](https://online.neatra.in/product/topics-in-clifford-analysis-special-volume-in-honor-of-wolfgang-sprosig/): Provides an essential overview of modern topics in Clifford analysis Dedicated to Prof. Wolfgang Sprößig - [Topics in Banach Space Theory](https://online.neatra.in/product/topics-in-banach-space-theory/): New edition extensively revised and updated Includes two new chapters on Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces Provides a self-contained overview of the fundamental ideas and basic techniques in modern Banach space theory - [Toeplitz Operators and Random Matrices: In Memory of Harold Widom](https://online.neatra.in/product/toeplitz-operators-and-random-matrices-in-memory-of-harold-widom/): This volume is dedicated to the memory of Harold Widom (1932–2021), an outstanding mathematician who has enriched mathematics with his ideas and ground breaking work since the 1950s until the present time. It contains a biography of Harold Widom, personal notes written by his former students or colleagues, and also his last, previously unpublished paper on domain walls in a Heisenberg–Ising chain. - [Time-Inconsistent Control Theory with Finance Applications](https://online.neatra.in/product/time-inconsistent-control-theory-with-finance-applications/): Offers a systematic treatment of time-inconsistent stochastic control and stopping problems Provides a game-theoretic approach to time inconsistency Treats both discrete and continuous time problems, and includes many applications to finance - [Time Series in Economics and Finance](https://online.neatra.in/product/time-series-in-economics-and-finance/): This book presents the principles and methods for the practical analysis and prediction of economic and financial time series. - [Theta Invariants of Euclidean Lattices and Infinite-Dimensional Hermitian Vector Bundles over Arithmetic Curves](https://online.neatra.in/product/theta-invariants-of-euclidean-lattices-and-infinite-dimensional-hermitian-vector-bundles-over-arithmetic-curves/): Contains a complete account of the theta invariants Presents the author's theory of infinite Hermitian vector bundles over arithmetic curves Provides many interesting original insights and ties to other theories - [Theory of Reproducing Kernels and Applications](https://online.neatra.in/product/theory-of-reproducing-kernels-and-applications/): This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. - [Theory of Random Sets](https://online.neatra.in/product/theory-of-random-sets/): Comprehensively covers the theory of random sets Explores interdisciplinary connections and applications of the theory Extensive and updated bibliography Includes latest developments in the field - [Theory of Information and its Value](https://online.neatra.in/product/theory-of-information-and-its-value/): This English version of Ruslan L. Stratonovich’s Theory of Information (1975) builds on theory and provides methods, techniques, and concepts toward utilizing critical applications. Unifying theories of information, optimization, and statistical physics, the value of information theory has gained recognition in data science, machine learning, and artificial intelligence. - [Theory of Function Spaces IV](https://online.neatra.in/product/theory-of-function-spaces-iv/): This book is the continuation of the 'Theory of Function Spaces' trilogy, published by the same author in this series and now part of classic literature in the area of function spaces. - [Theory of Complex Functions](https://online.neatra.in/product/theory-of-complex-functions/) - [Theory of Bergman Spaces](https://online.neatra.in/product/theory-of-bergman-spaces/): 15 years ago the function theory and operator theory connected with the Hardy spaces was well understood (zeros| factorization| interpolation| invariant subspaces| Toeplitz and Hankel operators, etc.). None of the techniques that led to all the information about Hardy spaces worked on their close relatives the Bergman spaces. - [Theory and Computation of Complex Tensors and its Applications](https://online.neatra.in/product/theory-and-computation-of-complex-tensors-and-its-applications/): The book provides an introduction of very recent results about the tensors and mainly focuses on the authors' work and perspective. A systematic description about how to extend the numerical linear algebra to the numerical multi-linear algebra is also delivered in this book. - [Theory and Applications of Special Functions for Scientists and Engineers](https://online.neatra.in/product/theory-and-applications-of-special-functions-for-scientists-and-engineers/): This book provides the knowledge of the newly-established supertrigonometric and superhyperbolic functions with the special functions such as Mittag-Leffler, Wiman, Prabhakar, Miller-Ross, Rabotnov, Lorenzo-Hartley, Sonine, Wright and Kohlrausch-Williams-Watts functions, Gauss hypergeometric series and Clausen hypergeometric series. The special functions can be considered to represent a great many of the real-world phenomena in mathematical physics, engineering and other applied sciences. - [The Zakharov System and its Soliton Solutions](https://online.neatra.in/product/the-zakharov-system-and-its-soliton-solutions/): This book focuses on the theory of the Zakharov system in the context of plasma physics. It has been over 40 years since the system was first derived by V. E. Zakharov – and in the course of those decades, many innovative achievements with major impacts on other research fields have been made. - [The XFT Quadrature in Discrete Fourier Analysis](https://online.neatra.in/product/the-xft-quadrature-in-discrete-fourier-analysis/): This book has two main objectives, the first of which is to extend the power of numerical Fourier analysis and to show by means of theoretical examples and numerous concrete applications that when computing discrete Fourier transforms of periodic and non periodic functions, the usual kernel matrix of the Fourier transform, the discrete Fourier transform (DFT), should be replaced by another kernel matrix, the eXtended Fourier transform (XFT), since the XFT matrix appears as a convergent quadrature of a more general transform, the fractional Fourier transform. - [The Virtual Element Method and its Applications](https://online.neatra.in/product/the-virtual-element-method-and-its-applications/): The purpose of this book is to present the current state of the art of the Virtual Element Method (VEM) by collecting contributions from many of the most active researchers in this field and covering a broad range of topics: from the mathematical foundation to real life computational applications. - [The Universe: Poincaré Seminar 2015](https://online.neatra.in/product/the-universe-poincare-seminar-2015/): Provides a unique perspective on some of the most active areas in astrophysics Gives a deep perspective on the Big-Bang theory by Jean-Philippe Uzan Includes the detailed description of 3 major experimental breakthroughs - [The Tower of Hanoi – Myths and Maths](https://online.neatra.in/product/the-tower-of-hanoi-myths-and-maths/): The solitaire game “The Tower of Hanoi" was invented in the 19th century by the French number theorist Édouard Lucas. The book presents its mathematical theory and offers a survey of the historical development from predecessors up to recent research. - [The Theory of Nilpotent Groups](https://online.neatra.in/product/the-theory-of-nilpotent-groups/): This monograph presents both classical and recent results in the theory of nilpotent groups and provides a self-contained, comprehensive reference on the topic. While the theorems and proofs included can be found throughout the existing literature, this is the first book to collect them in a single volume. - [The Theory of Gödel](https://online.neatra.in/product/the-theory-of-godel/): This book presents Gödel’s incompleteness theorems and the other limitative results which are most significant for the philosophy of mathematics. Results are stated in the form most relevant for use in the philosophy of mathematics. - [The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions](https://online.neatra.in/product/the-symmetric-group-representations-combinatorial-algorithms-and-symmetric-functions/): I have been very gratified by the response to the first edition, which has resulted in it being sold out. This put some pressure on me to come out with a second edition and now, finally, here it is. The original text has stayed much the same, the major change being in the treatment of the hook formula which is now based on the beautiful Novelli-Pak-Stoyanovskii bijection (NPS 97]. - [The Stair-Step Approach in Mathematics](https://online.neatra.in/product/the-stair-step-approach-in-mathematics/): Contains 735 new problems created by the authors, with author-prepared solutions Problems are presented in a step-by-step approach, increasing difficulty with each problem Covers all main topics in pure mathematics: geometry, trigonometry, number theory, algebra, calculus, and combinatorics - [The Splendors and Miseries of Martingales: Their History from the Casino to Mathematics](https://online.neatra.in/product/the-splendors-and-miseries-of-martingales-their-history-from-the-casino-to-mathematics/): Over the past eighty years, martingales have become central in the mathematics of randomness. They appear in the general theory of stochastic processes, in the algorithmic theory of randomness, and in some branches of mathematical statistics. - [The Sherrington-Kirkpatrick Model](https://online.neatra.in/product/the-sherrington-kirkpatrick-model/): Presents many central ideas of the mathematical theory of the Sherrington-Kirkpartrick model in detail Contains a fundamental breakthrough in this subject by the author Accessible to graduate students working in probability theory or statistical mechanics - [The Scottish Book: Mathematics from The Scottish Café, with Selected Problems from The New Scottish Book](https://online.neatra.in/product/the-scottish-book-mathematics-from-the-scottish-cafe-with-selected-problems-from-the-new-scottish-book/): The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. - [The Riordan Group and Applications](https://online.neatra.in/product/the-riordan-group-and-applications/): The ever-growing applications and richness of approaches to the Riordan group is captured in this comprehensive monograph, authored by those who are among the founders and foremost world experts in this field. The concept of a Riordan array has played a unifying role in enumerative combinatorics over the last three decades. - [The Restricted Three-Body Problem and Holomorphic Curves](https://online.neatra.in/product/the-restricted-three-body-problem-and-holomorphic-curves/): The book serves as an introduction to holomorphic curves in symplectic manifolds, focusing on the case of four-dimensional symplectizations and symplectic cobordisms, and their applications to celestial mechanics. The authors study the restricted three-body problem using recent techniques coming from the theory of pseudo-holomorphic curves. - [The Rademacher System in Function Spaces](https://online.neatra.in/product/the-rademacher-system-in-function-spaces/): This book presents a systematic treatment of the Rademacher system, one of the most important unifying concepts in mathematics, and includes a number of recent important and beautiful results related to the Rademacher functions. - [The Quasispecies Equation and Classical Population Models](https://online.neatra.in/product/the-quasispecies-equation-and-classical-population-models/): This monograph studies a series of mathematical models of the evolution of a population under mutation and selection. Its starting point is the quasispecies equation, a general non-linear equation which describes the mutation-selection equilibrium in Manfred Eigen’s famous quasispecies model. - [The Puzzles of Nobuyuki Yoshigahara](https://online.neatra.in/product/the-puzzles-of-nobuyuki-yoshigahara/): Gathers together some of the most ingenious mathematical puzzles ever created Celebrates the lifetime achievement of Nobuyuki “Nob” Yoshigahara, world renowned for designing math and mechanical puzzles Helps to develop students’ skills in problem-solving in a fun and creative way - [The Price of Fixed Income Market Volatility](https://online.neatra.in/product/the-price-of-fixed-income-market-volatility/): Fixed income volatility and equity volatility evolve heterogeneously over time, co-moving disproportionately during periods of global imbalances and each reacting to events of different nature. While the methodology for options-based "model-free" pricing of equity volatility has been known for some time, little is known about analogous methodologies for pricing various fixed income volatilities. - [The Power of q: A Personal Journey](https://online.neatra.in/product/the-power-of-q-a-personal-journey/): Aptly conveys the beauty and power of q-series Accessible to advanced undergraduates, graduate students, and researchers Historical notes enrich the readers understanding of the subject First monograph to focus uniquely on q-series Includes supplementary material: sn.pub/extras Includes supplementary material: sn.pub/extras - [The Physical and Mathematical Foundations of the Theory of Relativity: A Critical Analysis](https://online.neatra.in/product/the-physical-and-mathematical-foundations-of-the-theory-of-relativity-a-critical-analysis/): This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications. - [The Parameterization Method for Invariant Manifolds: From Rigorous Results to Effective Computations](https://online.neatra.in/product/the-parameterization-method-for-invariant-manifolds-from-rigorous-results-to-effective-computations/): This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. - [The Parabolic Anderson Model](https://online.neatra.in/product/the-parabolic-anderson-model/): This is a comprehensive survey on the research on the parabolic Anderson model – the heat equation with random potential or the random walk in random potential – of the years 1990 – 2015. The investigation of this model requires a combination of tools from probability (large deviations, extreme-value theory, e.g.) and analysis (spectral theory for the Laplace operator with potential, variational analysis, e.g.). - [The Nonlinear Schrödinger Equation](https://online.neatra.in/product/the-nonlinear-schrodinger-equation/): This book is an interdisciplinary introduction to optical collapse of laser beams, which is modelled by singular (blow-up) solutions of the nonlinear Schrödinger equation. With great care and detail, it develops the subject including the mathematical and physical background and the history of the subject. - [The Monge-Ampère Equation](https://online.neatra.in/product/the-monge-ampere-equation/): Now in its second edition, this monograph explores the Monge-Ampère equation and the latest advances in its study and applications. It provides an essentially self-contained systematic exposition of the theory of weak solutions, including regularity results by L. A. Caffarelli. ## Optional - [Agent (MCP protocol)](websites-agents.hostinger.com/online.neatra.in/mcp) [comment]: # (Generated by Hostinger Tools Plugin)