89 books in series

Cambridge Studies in Advanced Mathematics

Cambridge Studies in Advanced Mathematics is a 86-book series with 86 primary works first released in 1982 with contributions by Peter T. Johnstone, Jean-Pierre Kahane, and 121 others.

Stone Spaces
#3First

1982 • 396 pages

Some Random Series of Functions
#5Popular

1985 • 1 Reader • 324 pages

Introduction to Higher-Order Categorical Logic
#7

1986 • 1 Reader

Commutative Ring Theory
#8

1986 • 1 Reader • 338 pages

Finite Group Theory
#10

1986 • 1 Reader • 320 pages

Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups
#11

1986 • 1 Reader • 188 pages

An Introduction to the Theory of the Riemann Zeta-Function
#14

1988 • 1 Reader • 176 pages

Algebraic Homotopy
#15

1989 • 1 Reader • 488 pages

Introductory Lectures on Siegel Modular Forms
#20

1990 • 1 Reader • 176 pages

Clifford Algebras and Dirac Operators in Harmonic Analysis
#26

1991 • 1 Reader • 346 pages

Topics in Metric Fixed Point Theory
#28

1990 • 1 Reader • 258 pages

Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras
#30

1991 • 1 Reader • 260 pages

Representations and Cohomology: Volume 2, Cohomology of Groups and Modules
#31

1991 • 1 Reader • 296 pages

Cohomological Methods in Transformation Groups
#32

1993 • 1 Reader • 486 pages

Lectures on Arakelov Geometry
#33

1992 • 1 Reader • 185 pages

Representation Theory of Artin Algebras
#36

1995 • 1 Reader • 425 pages

Wavelets and Operators
#37

1992 • 1 Reader • 223 pages

An introduction to homological algebra
#38

1994 • 468 pages

An Algebraic Introduction to Complex Projective Geometry: Commutative Algebra
#47

1996 • 1 Reader • 244 pages

Wavelets: Calderón-Zygmund and Multilinear Operators
#48

1997 • 1 Reader • 340 pages

Cambridge Studies in Advanced Mathematics, Volume 49: Enumerative Combinatorics, Volume 1
#49

1986 • 1 Reader • 340 pages

Clifford Algebras and the Classical Groups
#50

1995 • 1 Reader • 308 pages

Spinning Tops: A Course on Integrable Systems
#51

1996 • 1 Reader • 148 pages

Groups as Galois Groups: An Introduction
#53

1996 • 1 Reader • 268 pages

Lectures on Vector Bundles
#54

1997 • 1 Reader • 251 pages

Automorphic Forms and Representations
#55

1997 • 1 Reader • 592 pages

Cohomology of Drinfeld Modular Varieties
#56

1997 • 1 Reader • 380 pages

A User's Guide to Spectral Sequences
#58

2000 • 1 Reader • 560 pages

Practical Foundations of Mathematics
#59

1999 • 588 pages

Local Cohomology: An Algebraic Introduction with Geometric Applications
#60

1998 • 1 Reader • 442 pages

Uniform Central Limit Theorems
#63

1999 • 1 Reader • 450 pages

An Introduction to Rings and Modules: With K-Theory in View
#65

2000 • 1 Reader • 286 pages

Modular Forms and Galois Cohomology
#69

2000 • 1 Reader • 343 pages

Fourier Analysis and Partial Differential Equations
#70

2001 • 1 Reader

Galois Theories
#72

2001 • 1 Reader • 356 pages

Random Graphs
#73

1985 • 1 Reader • 498 pages

Complex Polynomials
#75

2002 • 1 Reader • 452 pages

Hodge Theory and Complex Algebraic Geometry I: Volume 1
#76

1998 • 1 Reader • 332 pages

Hodge Theory and Complex Algebraic Geometry II: Volume 2
#77

1999 • 1 Reader • 364 pages

Soliton Equations and their Algebro-Geometric Solutions: Volume 1,
#79

1999 • 1 Reader • 518 pages

An Introduction to Invariants and Moduli
#81

2012 • 1 Reader • 524 pages

Cover 8

Multidimensional Real Analysis I

#86

2004 • 1 Reader

Multidimensional Real Analysis Volume II: Integration. Cambridge Studies in Advanced Mathematics, Volume 87
#87

2004 • 1 Reader • 396 pages

Introduction to Foliations and Lie Groupoids
#91

2003 • 1 Reader • 184 pages

Lie Algebras of Finite and Affine Type
#96

2005 • 1 Reader

Riemannian Geometry: A Modern Introduction
#98

1994 • 1 Reader

Automorphic Forms and L-Functions for the Group GL
#99

2002 • 1 Reader • 508 pages

Central Simple Algebras and Galois Cohomology
#101

2017 • 1 Reader • 430 pages

Langlands Correspondence for Loop Groups
#103

2007 • 1 Reader • 379 pages

NONLINEAR ANALYSIS AND SEMILINEAR ELLIPTIC PROBLEMS.
#104

2007 • 334 pages

Linear Operators and their Spectra
#106

2007 • 1 Reader • 464 pages

Complex Analysis
#107

2007 • 1 Reader • 418 pages

An Introduction to Contact Topology
#109

2007 • 1 Reader • 458 pages

Analysis on Lie Groups: An Introduction
#110

2008 • 1 Reader • 318 pages

An Introduction to Lie Groups and Lie Algebras
#113

2008 • 1 Reader • 237 pages

Soliton Equations and Their Algebro-Geometric Solutions: Volume 2,
#114

2003 • 1 Reader • 450 pages

Levy Processes and Stochastic Calculus
#116

2004 • 1 Reader • 440 pages

An Introduction to Random Matrices
#118

2009 • 1 Reader • 507 pages

p-adic Differential Equations
#125

2010 • 398 pages

Automorphic Representations and L-Functions for the General Linear Group: Volume 1
#129

2011 • 1 Reader • 572 pages

Automorphic Representations and L-Functions for the General Linear Group: Volume 2
#130

2011 • 1 Reader

Models and Games
#132

2011 • 1 Reader • 380 pages

Linear Algebraic Groups and Finite Groups of Lie Type
#133

2011 • 1 Reader • 324 pages

Geometric Analysis
#134

2012 • 1 Reader • 417 pages

Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory
#135

2012 • 1 Reader • 475 pages

Spectral Theory and Its Applications
#139

2012 • 1 Reader • 250 pages

Fourier Analysis and Hausdorff Dimension
#150

2015 • 1 Reader • 455 pages

Special Functions and Orthogonal Polynomials
#153

2016 • 1 Reader • 489 pages

Cover 2

Optimal Control and Geometry

#154

Cover 8

The Three-Dimensional Navier–Stokes Equations

#157

1 Reader

Lectures on K3 Surfaces
#158

2016 • 1 Reader • 499 pages

Fractals in Probability and Analysis
#162

2016 • 1 Reader • 415 pages

Cover 2

Galois Representations and

#164

2017 • 1 Reader

Geometry and Complexity Theory
#169

2017 • 1 Reader • 353 pages

Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field
#170

2017 • 1 Reader • 665 pages

Quantum Fields and Processes: A Combinatorial Approach
#171

2018 • 341 pages

Discrete Harmonic Analysis: Representations, Number Theory, Expanders, and the Fourier Transform
#172

2018 • 1 Reader • 589 pages

Character Theory and the McKay Conjecture
#175

2018 • 1 Reader • 253 pages

Eisenstein Series and Automorphic Representations: With Applications in String Theory
#176

2018 • 1 Reader • 588 pages

Formal Geometry and Bordism Operations
#177

2018 • 1 Reader • 421 pages

Lectures on Logarithmic Algebraic Geometry
#178

2018 • 1 Reader • 559 pages

Higher Categories and Homotopical Algebra
#180

2019 • 448 pages

A Comprehensive Introduction to Sub-Riemannian Geometry
#181

2019 • 1 Reader • 765 pages

Toeplitz Matrices and Operators
#182

2020 • 453 pages

Derived Categories
#183

2019 • 1 Reader • 621 pages

Cover 2

Foundations of Stable Homotopy Theory

#185

The Character Theory of Finite Groups of Lie Type: A Guided Tour
#187

2020 • 1 Reader • 405 pages

From Categories to Homotopy Theory
#188

2020 • 1 Reader • 401 pages

Higher Index Theory
#189

2020 • 1 Reader • 595 pages