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Cambridge Studies in Advanced Mathematics

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Editors: Béla Bollobás, William Fulton, Anatole Katok, Frances Kirwan, Peter Sarnak, Barry Simon, Burt Totaro

The Cambridge Studies in Advanced Mathematics is a series of books each of which aims to introduce the reader to an active area of mathematical research. All topics in pure mathematics are covered, and treatments are suitable for graduate students, and experts from other branches of mathematics, seeking access to research topics.

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There are 152 titles in this series...

[125] p-adic Differential Equations

[34] A Primer of Nonlinear Analysis

[58] A User's Guide to Spectral Sequences

2nd Edition

[58] A User's Guide to Spectral Sequences

2nd Edition

[43] Absolutely Summing Operators

[43] Absolutely Summing Operators

[105] Additive Combinatorics

[1] Algebraic Automata Theory

[15] Algebraic Homotopy

[15] Algebraic Homotopy

[27] Algebraic Number Theory

[47] An Algebraic Introduction to Complex Projective Geometry

Commutative Algebra

[47] An Algebraic Introduction to Complex Projective Geometry

Commutative Algebra

[109] An Introduction to Contact Topology

[16] An Introduction to Harmonic Analysis on Semisimple Lie Groups

[38] An Introduction to Homological Algebra

[81] An Introduction to Invariants and Moduli

[113] An Introduction to Lie Groups and Lie Algebras

[95] An Introduction to Nonlinear Analysis

[118] An Introduction to Random Matrices

[65] An Introduction to Rings and Modules

With K-Theory in View

[14] An Introduction to the Theory of the Riemann Zeta-Function

[122] An Outline of Ergodic Theory

[71] Analysis in Integer and Fractional Dimensions

[110] Analysis on Lie Groups

An Introduction

[61] Analytic Pro-P Groups

2nd Edition

[84] Association Schemes

Designed Experiments, Algebra and Combinatorics

[99] Automorphic Forms and L-Functions for the Group GL(n,R)

[55] Automorphic Forms and Representations

[25] Banach Spaces for Analysts

[64] Calculus of Variations

[64] Calculus of Variations

[67] Categories and Modules with K-Theory in View

[19] Cellular Structures in Topology

[19] Cellular Structures in Topology

[101] Central Simple Algebras and Galois Cohomology

[9] Characteristic Classes and the Cohomology of Finite Groups

[26] Clifford Algebras and Dirac Operators in Harmonic Analysis

[26] Clifford Algebras and Dirac Operators in Harmonic Analysis

[50] Clifford Algebras and the Classical Groups

[50] Clifford Algebras and the Classical Groups

[39] Cohen-Macaulay Rings

2nd Edition

[32] Cohomological Methods in Transformation Groups

[32] Cohomological Methods in Transformation Groups

[56] Cohomology of Drinfeld Modular Varieties

Part 2,

[56] Cohomology of Drinfeld Modular Varieties

Part 2,

[41] Cohomology of Drinfeld Modular Varieties

Part 1,

[8] Commutative Ring Theory

[78] Completely Bounded Maps and Operator Algebras

[107] Complex Analysis

[75] Complex Polynomials

[75] Complex Polynomials

[111] Complex Topological K-Theory

[62] Enumerative Combinatorics

Volume 2,

[62] Enumerative Combinatorics

Volume 2,

[49] Enumerative Combinatorics

Volume 1,

[49] Enumerative Combinatorics

Volume 1,

[2] Ergodic Theory

[40] Explicit Brauer Induction

With Applications to Algebra and Number Theory

[10] Finite Group Theory

2nd Edition

[10] Finite Group Theory

2nd Edition

[70] Fourier Analysis and Partial Differential Equations

[117] Galois Groups and Fundamental Groups

[72] Galois Theories

[72] Galois Theories

[52] Geometric Control Theory

[52] Geometric Control Theory

[44] Geometry of Sets and Measures in Euclidean Spaces

Fractals and Rectifiability

[90] Global Methods for Combinatorial Isoperimetric Problems

[17] Groups Acting on Graphs

[53] Groups as Galois Groups

An Introduction

[53] Groups as Galois Groups

An Introduction

[108] Harmonic Analysis on Finite Groups

Representation Theory, Gelfand Pairs and Markov Chains
Volume 0, Part 0,

  • Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
  • Hardback | Published March 2008
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[76] Hodge Theory and Complex Algebraic Geometry I

Volume 1,

[76] Hodge Theory and Complex Algebraic Geometry I

Volume 1,

[77] Hodge Theory and Complex Algebraic Geometry II

Volume 2,

[77] Hodge Theory and Complex Algebraic Geometry II

Volume 2,

[66] Holomorphic Dynamics

[35] Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations

Fractal Dimensions and Infinitely Many Attractors in Dynamics

[46] Introduction to Analytic and Probabilistic Number Theory

[91] Introduction to Foliations and Lie Groupoids

[7] Introduction to Higher-Order Categorical Logic

[20] Introductory Lectures on Siegel Modular Forms

[20] Introductory Lectures on Siegel Modular Forms

[103] Langlands Correspondence for Loop Groups

[83] Lectures in Logic and Set Theory

Volume 2, Set Theory

[82] Lectures in Logic and Set Theory

Volume 1, Mathematical Logic

[33] Lectures on Arakelov Geometry

[54] Lectures on Vector Bundles

[96] Lie Algebras of Finite and Affine Type

[106] Linear Operators and their Spectra

[60] Local Cohomology

An Algebraic Introduction with Geometric Applications

[60] Local Cohomology

An Algebraic Introduction with Geometric Applications

[11] Local Representation Theory

Modular Representations as an Introduction to the Local Representation Theory of Finite Groups

[119] Locally Convex Spaces over Non-Archimedean Valued Fields

[68] Lévy Processes and Infinitely Divisible Distributions

[116] Lévy Processes and Stochastic Calculus

2nd Edition

[100] Markov Processes, Gaussian Processes, and Local Times

[115] Mathematical Tools for One-Dimensional Dynamics

[69] Modular Forms and Galois Cohomology

[69] Modular Forms and Galois Cohomology

Multidimensional Real Analysis 2 Volume Hardback Set

[86] Multidimensional Real Analysis I

Differentiation

  • J. J. Duistermaat, J. A. C. Kolk, Translated by J. P. van Braam Houckgeest
  • Hardback | Published May 2004
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[87] Multidimensional Real Analysis II

Integration

  • J. J. Duistermaat, J. A. C. Kolk, Translated by J. P. van Braam Houckgeest
  • Hardback | Published May 2004
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[120] Multidimensional Stochastic Processes as Rough Paths

Theory and Applications

[97] Multiplicative Number Theory I

Classical Theory

[57] Natural Dualities for the Working Algebraist

[104] Nonlinear Analysis and Semilinear Elliptic Problems

[112] Partial Differential Equations for Probabilists

[85] Period Mappings and Period Domains

[45] Positive Harmonic Functions and Diffusion

[45] Positive Harmonic Functions and Diffusion

[59] Practical Foundations of Mathematics

[102] Random Fragmentation and Coagulation Processes

[73] Random Graphs

2nd Edition

[73] Random Graphs

2nd Edition

[123] Random Walks

[92] Rational and Nearly Rational Varieties

[74] Real Analysis and Probability

2nd Edition

[74] Real Analysis and Probability

2nd Edition

[29] Reflection Groups and Coxeter Groups

[36] Representation Theory of Artin Algebras

[121] Representation Theory of the Symmetric Groups

The Okounkov-Vershik Approach, Character Formulas, and Partition Algebras

  • Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
  • Hardback | Published February 2010
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[22] Representations and Characters of Finite Groups

[22] Representations and Characters of Finite Groups

[31] Representations and Cohomology

Volume 2, Cohomology of Groups and Modules

[30] Representations and Cohomology

Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras

[30] Representations and Cohomology

Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras

[124] Representations of Groups

A Computational Approach

[18] Representations of Nilpotent Lie Groups and their Applications

Volume 1, Part 1,

[98] Riemannian Geometry

A Modern Introduction
2nd Edition

[98] Riemannian Geometry

A Modern Introduction
2nd Edition

[114] Soliton Equations and Their Algebro-Geometric Solutions

Volume 2, (1+1)-Dimensional Discrete Models

  • Fritz Gesztesy, Helge Holden, Johanna Michor, Gerald Teschl
  • Hardback | Published September 2008
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[79] Soliton Equations and their Algebro-Geometric Solutions

Volume 1, (1+1)-Dimensional Continuous Models

[5] Some Random Series of Functions

2nd Edition

[42] Spectral Theory and Differential Operators

[51] Spinning Tops

A Course on Integrable Systems

[51] Spinning Tops

A Course on Integrable Systems

[24] Stochastic Flows and Stochastic Differential Equations

[3] Stone Spaces

[21] The Logarithmic Integral

Volume 2,

[21] The Logarithmic Integral

Volume 2,

[12] The Logarithmic Integral

Volume 1,

[89] Tolerance Graphs

[28] Topics in Metric Fixed Point Theory

[28] Topics in Metric Fixed Point Theory

[4] Ultrametric Calculus

An Introduction to p-Adic Analysis

[63] Uniform Central Limit Theorems

[63] Uniform Central Limit Theorems

[48] Wavelets

Calderón-Zygmund and Multilinear Operators

[48] Wavelets

Calderón-Zygmund and Multilinear Operators

[37] Wavelets and Operators

Volume 1,