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Cambridge Tracts in Mathematics

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Editors: B. Bollabás, W. Fulton, A. Katok, F. Kirwan, P. Sarnak, B. Simon, B. Totaro

This series is devoted to thorough, yet reasonably concise treatments of topics in any branch of mathematics. Typically, a Tract takes up a single thread in a wide subject, and follows its ramifications, thus throwing light on various of its aspects. Tracts are expected to be rigorous, definitive and of lasting value to mathematicians working in the relevant disciplines. Exercises can be included to illustrate techniques, summarize past work and enhance the book's value as a seminar text.

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There are 160 titles in this series...

[124] 3-Transposition Groups

[124] 3-Transposition Groups

[177] A Higher-Dimensional Sieve Method

With Procedures for Computing Sieve Functions

[153] Abelian Varieties, Theta Functions and the Fourier Transform

[111] Affine Differential Geometry

Geometry of Affine Immersions

[111] Affine Differential Geometry

Geometry of Affine Immersions

[157] Affine Hecke Algebras and Orthogonal Polynomials

[97] Algebraic Curves over Finite Fields

[102] Algebraic L-theory and Topological Manifolds

[102] Algebraic L-theory and Topological Manifolds

[43] An Introduction to Homotopy Theory

[128] An Introduction to Maximum Principles and Symmetry in Elliptic Problems

[100] Analysis and Geometry on Groups

[100] Analysis and Geometry on Groups

[178] Analysis in Positive Characteristic

[143] Analysis on Fractals

[143] Analysis on Fractals

[77] Approaches to the Theory of Optimization

[160] Approximation by Algebraic Numbers

[160] Approximation by Algebraic Numbers

[106] Arithmetic of Quadratic Forms

[55] Asymptotic Expansions

[130] Automorphic Forms on SL2 (R)

[130] Automorphic Forms on SL2 (R)

[131] Bipartite Graphs and their Applications

[131] Bipartite Graphs and their Applications

[134] Birational Geometry of Algebraic Varieties

[134] Birational Geometry of Algebraic Varieties

[79] Chain Conditions in Topology

[136] Character Sums with Exponential Functions and their Applications

[149] Cohomology of Vector Bundles and Syzygies

[72] Completeness and Basis Properties of Sets of Special Functions

[84] Consequences of Martin's Axiom

[63] Contiguity of Probability Measures

Some Applications in Statistics

[119] Continuum Percolation

[119] Continuum Percolation

[47] Convexity

[96] Dependence with Complete Connections and its Applications

[140] Derivation and Integration

[103] Designs and their Codes

[103] Designs and their Codes

[90] Divisors

[107] Duality and Perturbation Methods in Critical Point Theory

[107] Duality and Perturbation Methods in Critical Point Theory

[122] Duality in Analytic Number Theory

[122] Duality in Analytic Number Theory

[126] Dynamical Systems and Semisimple Groups

An Introduction

[179] Dynamics of Linear Operators

[123] Ends of Complexes

[123] Ends of Complexes

[98] Entropy, Compactness and the Approximation of Operators

[173] Enumeration of Finite Groups

[161] Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings

[87] Exponential Diophantine Equations

[91] Fibrewise Topology

[71] Finite Free Resolutions

[154] Finite Packing and Covering

[141] Fixed Point Theory and Applications

[141] Fixed Point Theory and Applications

[147] Floer Homology Groups in Yang-Mills Theory

[174] Forcing Idealized

[105] Fourier Integrals in Classical Analysis

[105] Fourier Integrals in Classical Analysis

[52] Fourier Transforms

[86] Fredholm Theory in Banach Spaces

[151] Frobenius Manifolds and Moduli Spaces for Singularities

[120] Function Spaces, Entropy Numbers, Differential Operators

[120] Function Spaces, Entropy Numbers, Differential Operators

[129] Gaussian Hilbert Spaces

[129] Gaussian Hilbert Spaces

[83] General Irreducible Markov Chains and Non-Negative Operators

[61] Generalized Clifford Parallelism

[117] Generalized Topological Degree and Semilinear Equations

[68] Gibbs States on Countable Sets

[148] Graph Directed Markov Systems

Geometry and Dynamics of Limit Sets

[156] Harmonic Mappings in the Plane

[142] Harmonic Maps between Riemannian Polyhedra

[150] Harmonic Maps, Conservation Laws and Moving Frames

2nd Edition

[92] Heat Kernels and Spectral Theory

[74] Hopf Algebras

[42] Ideal Theory

[101] Infinite Electrical Networks

[101] Infinite Electrical Networks

[62] Injective Modules

[49] Integral Equations

[51] Integral Quadratic Forms

[115] Introduction to Hp Spaces

2nd Edition

[115] Introduction to Hp Spaces

2nd Edition

[24] Invariants of Quadratic Differential Forms

[89] Irregularities of Distribution

[145] Isoperimetric Inequalities

Differential Geometric and Analytic Perspectives

[163] Linear and Projective Representations of Symmetric Groups

[163] Linear and Projective Representations of Symmetric Groups

[121] Lévy Processes

[162] Lévy Processes in Lie Groups

[116] Matrices of Sign-Solvable Linear Systems

[116] Matrices of Sign-Solvable Linear Systems

[137] Metric Diophantine Approximation on Manifolds

[57] Metric Spaces

[60] Miniquaternion Geometry

An Introduction to the Study of Projective Planes

[132] Mixed Hodge Structures and Singularities

[81] Module Categories of Analytic Groups

[88] Multiple Forcing

[133] Multiplicities and Chern Classes in Local Algebra

[133] Multiplicities and Chern Classes in Local Algebra

[110] Multivalent Functions

2nd Edition

[110] Multivalent Functions

2nd Edition

[95] Nonlinear Superposition Operators

[65] Normal Topological Spaces

[93] On L1-Approximation

[93] On L1-Approximation

[171] Orbifolds and Stringy Topology

[152] Permutation Group Algorithms

[167] Poincaré Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations

[82] Polycyclic Groups

[170] Polynomials and Vanishing Cycles

[165] Projective Differential Geometry Old and New

From the Schwarzian Derivative to the Cohomology of Diffeomorphism Groups

[59] Proximity Spaces

[169] Quantum Stochastic Processes and Noncommutative Geometry

[158] Quasi-Frobenius Rings

[36] Random Variables and Probability Distributions

[138] Random Walks on Infinite Graphs and Groups

[138] Random Walks on Infinite Graphs and Groups

[146] Restricted Orbit Equivalence for Actions of Discrete Amenable Groups

[172] Rigid Cohomology

[112] Schur Algebras and Representation Theory

[112] Schur Algebras and Representation Theory

[118] Sets of Multiples

[118] Sets of Multiples

[69] Simple Noetherian Rings

[135] Solitons

Differential equations, symmetries and infinite dimensional algebras

[99] Some Applications of Modular Forms

[99] Some Applications of Modular Forms

[113] Spectral Decomposition and Eisenstein Series

A Paraphrase of the Scriptures

[113] Spectral Decomposition and Eisenstein Series

A Paraphrase of the Scriptures

[127] Spectral Theory of the Riemann Zeta-Function

[127] Spectral Theory of the Riemann Zeta-Function

[114] Spinors in Hilbert Space

[104] Sporadic Groups

[104] Sporadic Groups

[58] Stochastic Approximation

[180] Synthetic Geometry of Manifolds

[164] The Covering Property Axiom, CPA

A Combinatorial Core of the Iterated Perfect Set Model

[168] The Cube-A Window to Convex and Discrete Geometry

[155] The Direct Method in Soliton Theory

  • Ryogo Hirota, Edited and translated by Atsushi Nagai, Jon Nimmo, Claire Gilson
  • Hardback | Published July 2004
  • More details | Add to basket

[85] The Geometry of Fractal Sets

[159] The Geometry of Total Curvature on Complete Open Surfaces

[125] The Hardy-Littlewood Method

2nd Edition

[175] The Large Sieve and its Applications

Arithmetic Geometry, Random Walks and Discrete Groups

[40] The Lebesgue Integral

[166] The Lévy Laplacian

[176] The Monster Group and Majorana Involutions

[109] The Riemann Approach to Integration

Local Geometric Theory

[109] The Riemann Approach to Integration

Local Geometric Theory

[56] The Theory of Cluster Sets

[94] The Volume of Convex Bodies and Banach Space Geometry

[75] Topics in Ergodic Theory

[144] Torsors and Rational Points

[181] Totally Positive Matrices

[139] Typical Dynamics of Volume-Preserving Homeomorphisms