Birkhauser
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Coordinate Systems for Games: Simplifying the “me” and “we” Interactions

Original price was: ₹5,511.00.Current price is: ₹4,410.00.
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
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Coordinate Systems for Games: Simplifying the “me” and “we” Interactions

Original price was: ₹5,511.00.Current price is: ₹4,410.00.
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
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Counting Lattice Paths Using Fourier Methods

Original price was: ₹7,075.00.Current price is: ₹5,661.00.
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
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Counting Lattice Paths Using Fourier Methods

Original price was: ₹7,075.00.Current price is: ₹5,661.00.
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
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Counting Surfaces

Original price was: ₹13,851.00.Current 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.
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Counting Surfaces

Original price was: ₹13,851.00.Current 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.
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Counting with Symmetric Functions

Original price was: ₹9,682.00.Current 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
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Counting with Symmetric Functions

Original price was: ₹9,682.00.Current 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
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Covariance and Gauge Invariance in Continuum Physics: Application to Mechanics, Gravitation, and Electromagnetism

Original price was: ₹11,767.00.Current 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.
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Covariance and Gauge Invariance in Continuum Physics: Application to Mechanics, Gravitation, and Electromagnetism

Original price was: ₹11,767.00.Current 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.
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Crossed Products of C*-Algebras, Topological Dynamics, and Classification

Original price was: ₹7,075.00.Current price is: ₹5,661.00.
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.
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Crossed Products of C*-Algebras, Topological Dynamics, and Classification

Original price was: ₹7,075.00.Current price is: ₹5,661.00.
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.
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Crowd Dynamics, Volume 1: Theory, Models, and Safety Problems

Original price was: ₹13,851.00.Current 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.
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Crowd Dynamics, Volume 1: Theory, Models, and Safety Problems

Original price was: ₹13,851.00.Current 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.
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Differential Equations on Measures and Functional Spaces

Original price was: ₹8,639.00.Current price is: ₹6,912.00.
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.
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Differential Equations on Measures and Functional Spaces

Original price was: ₹8,639.00.Current price is: ₹6,912.00.
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.
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Differential Equations: Methods and Applications

Original price was: ₹4,469.00.Current price is: ₹3,576.00.
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.
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Differential Equations: Methods and Applications

Original price was: ₹4,469.00.Current price is: ₹3,576.00.
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.
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Differential Heterogenesis: Mutant Forms, Sensitive Bodies

Original price was: ₹13,852.00.Current price is: ₹11,082.00.
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.
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Differential Heterogenesis: Mutant Forms, Sensitive Bodies

Original price was: ₹13,852.00.Current price is: ₹11,082.00.
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.
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Differential Topology

Original price was: ₹7,280.00.Current price is: ₹5,824.00.
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.
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Differential Topology

Original price was: ₹7,280.00.Current price is: ₹5,824.00.
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.
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