-20%
Counting Surfaces
Original price was: ₹13,851.00.₹11,082.00Current price is: ₹11,082.00.
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.
-20%
Counting Surfaces
Original price was: ₹13,851.00.₹11,082.00Current price is: ₹11,082.00.
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.
-20%
Counting with Symmetric Functions
Original price was: ₹9,682.00.₹7,746.00Current price is: ₹7,746.00.
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
-20%
Counting with Symmetric Functions
Original price was: ₹9,682.00.₹7,746.00Current price is: ₹7,746.00.
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
-20%
Covariance and Gauge Invariance in Continuum Physics: Application to Mechanics, Gravitation, and Electromagnetism
Original price was: ₹11,767.00.₹9,414.00Current price is: ₹9,414.00.
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.
-20%
Covariance and Gauge Invariance in Continuum Physics: Application to Mechanics, Gravitation, and Electromagnetism
Original price was: ₹11,767.00.₹9,414.00Current price is: ₹9,414.00.
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.
-20%
Crowd Dynamics, Volume 1: Theory, Models, and Safety Problems
Original price was: ₹13,851.00.₹11,082.00Current price is: ₹11,082.00.
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.
-20%
Crowd Dynamics, Volume 1: Theory, Models, and Safety Problems
Original price was: ₹13,851.00.₹11,082.00Current price is: ₹11,082.00.
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.
-20%
Crowd Dynamics, Volume 2
Original price was: ₹10,724.00.₹8,580.00Current price is: ₹8,580.00.
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.
-20%
Crowd Dynamics, Volume 2
Original price was: ₹10,724.00.₹8,580.00Current price is: ₹8,580.00.
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.
-20%
Crowd Dynamics, Volume 3
Original price was: ₹10,724.00.₹8,580.00Current price is: ₹8,580.00.
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.
-20%
Crowd Dynamics, Volume 3
Original price was: ₹10,724.00.₹8,580.00Current price is: ₹8,580.00.
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.
-20%
Cryptology and Error Correction: An Algebraic Introduction and Real-World Applications
Original price was: ₹6,033.00.₹4,827.00Current price is: ₹4,827.00.
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.
-20%
Cryptology and Error Correction: An Algebraic Introduction and Real-World Applications
Original price was: ₹6,033.00.₹4,827.00Current price is: ₹4,827.00.
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.
-20%
Cubic Forms and the Circle Method
Original price was: ₹11,767.00.₹9,414.00Current price is: ₹9,414.00.
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
-20%
Cubic Forms and the Circle Method
Original price was: ₹11,767.00.₹9,414.00Current price is: ₹9,414.00.
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
-20%
Current Topics in Summability Theory and Applications
Original price was: ₹10,724.00.₹8,580.00Current price is: ₹8,580.00.
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.
-20%
Current Topics in Summability Theory and Applications
Original price was: ₹10,724.00.₹8,580.00Current price is: ₹8,580.00.
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.