89 books in series

Cambridge Studies in Advanced Mathematics

Cambridge Studies in Advanced Mathematics is a 86-book series with 89 primary works first released in 1982 with contributions by Peter T. Johnstone, Jean-Pierre Kahane, J. Lambek, P. J. Scott, H. Matsumura, Michael Aschbacher, J.L. Alperin, S.J. Patterson, Hans Joachim Baues, Helmut Klingen, John E. Gilbert, Margaret A.M. Murray, Kazimierz Goebel, W. A. Kirk, D.J. Benson, C. Allday, Christopher James Allday, Volker Puppe, C. Soulé, Maurice Auslander, Idun Reiten, Sverre O. Smalo, Yves Meyer, Charles A. Weibel, Christian Peskine, Ronald Coifman, Richard P. Stanley, Ian R. Porteous, Michèle Audin, Helmut Volklein, J. Le Potier, Daniel Bump, Gérard Laumon, John McCleary, Paul Taylor, M.P. Brodmann, R.Y. Sharp, R.M. Dudley, A.J. Berrick, M.E. Keating, Haruzo Hida, Rafael José Iorio Jr., Valéria de Magalhães Iorio, Francis Borceux, George Janelidze, Béla Bollobás, T. Sheil-Small, Claire Voisin, Fritz Gesztesy, Helge Holden, Shigeru Mukai, J.J. Duistermaat, J.A.C. Kolk, I. Moerdijk, J. Mrcun, Roger Carter, Isaac Chavel, Dorian Goldfeld, Philippe Gille, Tamás Szamuely, Edward Frenkel, Antonio Ambrosetti, Andrea Malchiodi, E. Brian Davies, Kunihiko Kodaira, Hansjörg Geiges, Jacques Faraut, Alexander Kirillov Jr Jr, Johanna Michor, Gerald Teschl, David Applebaum, Greg W. Anderson, Alice Guionnet, Ofer Zeitouni, Kiran S. Kedlaya, Joseph Hundley, Jouko Väänänen, Gunter Malle, Donna Testerman, Peter Li, Francesco Maggi, Bernard Helffer, Pertti Mattila, Richard Beals, Roderick Wong, V. Jurdjevic, James C. Robinson, José L. Rodrigo, Witold Sadowski, Daniel Huybrechts, Christopher J. Bishop, Yuval Peres, Peter Schneider, J.M. Landsberg, J.S. Milne, John Gough, Tullio Ceccherini-Silberstein, Gabriel Navarro, Philipp Fleig, Henrik P.A. Gustafsson, Axel Kleinschmidt, Daniel Persson, Eric Peterson, Arthur Ogus, Denis-Charles Cisinski, Andrei Agrachev, Davide Barilari, Ugo Boscain, Nikolai Nikolski, Amnon Yekutieli, David Barnes, Constanze Roitzheim, Meinolf Geck, Birgit Richter, Rufus Willett, and Guoliang Yu.

#3
Stone Spaces

1982 • 396 pages

#5
Some Random Series of Functions

1985 • 1 Reader • 324 pages

#7
Introduction to Higher-Order Categorical Logic

1986 • 1 Reader

#8
Commutative Ring Theory

1986 • 1 Reader • 338 pages

#10
Finite Group Theory

1986 • 1 Reader • 320 pages

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

1986 • 1 Reader • 188 pages

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

1988 • 1 Reader • 176 pages

#15
Algebraic Homotopy

1989 • 1 Reader • 488 pages

#20
Introductory Lectures on Siegel Modular Forms

1990 • 1 Reader • 176 pages

#26
Clifford Algebras and Dirac Operators in Harmonic Analysis

1991 • 1 Reader • 346 pages

#28
Topics in Metric Fixed Point Theory

1990 • 1 Reader • 258 pages

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

1991 • 1 Reader • 260 pages

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

1991 • 1 Reader • 296 pages

#32
Cohomological Methods in Transformation Groups

1993 • 1 Reader • 486 pages

#33
Lectures on Arakelov Geometry

1992 • 1 Reader • 185 pages

#36
Representation Theory of Artin Algebras

1995 • 1 Reader • 425 pages

#37
Wavelets and Operators

1992 • 1 Reader • 223 pages

#38
An introduction to homological algebra

1994 • 468 pages

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

1996 • 1 Reader • 244 pages

#48
Wavelets: Calderón-Zygmund and Multilinear Operators

1997 • 1 Reader • 340 pages

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

1986 • 2 Readers • 340 pages

#50
Clifford Algebras and the Classical Groups

1995 • 1 Reader • 308 pages

#51
Spinning Tops: A Course on Integrable Systems

1996 • 1 Reader • 148 pages

#53
Groups as Galois Groups: An Introduction

1996 • 1 Reader • 268 pages

#54
Lectures on Vector Bundles

1997 • 1 Reader • 251 pages

#55
Automorphic Forms and Representations

1997 • 1 Reader • 592 pages

#56
Cohomology of Drinfeld Modular Varieties

1997 • 1 Reader • 380 pages

#58
A User's Guide to Spectral Sequences

2000 • 1 Reader • 560 pages

#59
Practical Foundations of Mathematics

1999 • 588 pages

#60
Local Cohomology: An Algebraic Introduction with Geometric Applications

1998 • 1 Reader • 442 pages

#63
Uniform Central Limit Theorems

1999 • 1 Reader • 450 pages

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

2000 • 1 Reader • 286 pages

#69
Modular Forms and Galois Cohomology

2000 • 1 Reader • 343 pages

#70
Fourier Analysis and Partial Differential Equations

2001 • 1 Reader

#72
Galois Theories

2001 • 1 Reader • 356 pages

#73
Random Graphs

1985 • 1 Reader • 498 pages

#75
Complex Polynomials

2002 • 1 Reader • 452 pages

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

1998 • 1 Reader • 332 pages

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

1999 • 1 Reader • 364 pages

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

1999 • 1 Reader • 518 pages

#81
An Introduction to Invariants and Moduli

2012 • 1 Reader • 524 pages

#86
Cover 8

Multidimensional Real Analysis I

2004 • 1 Reader

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

2004 • 1 Reader • 396 pages

#91
Introduction to Foliations and Lie Groupoids

2003 • 1 Reader • 184 pages

#96
Lie Algebras of Finite and Affine Type

2005 • 1 Reader

#98
Riemannian Geometry: A Modern Introduction

1994 • 1 Reader

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

2002 • 1 Reader • 508 pages

#101
Central Simple Algebras and Galois Cohomology

2017 • 1 Reader • 430 pages

#103
Langlands Correspondence for Loop Groups

2007 • 1 Reader • 379 pages

#104
NONLINEAR ANALYSIS AND SEMILINEAR ELLIPTIC PROBLEMS.

2007 • 334 pages

#106
Linear Operators and their Spectra

2007 • 1 Reader • 464 pages

#107
Complex Analysis

2007 • 1 Reader • 418 pages

#109
An Introduction to Contact Topology

2007 • 1 Reader • 458 pages

#110
Analysis on Lie Groups: An Introduction

2008 • 1 Reader • 318 pages

#113
An Introduction to Lie Groups and Lie Algebras

2008 • 1 Reader • 237 pages

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

2003 • 1 Reader • 450 pages

#116
Levy Processes and Stochastic Calculus

2004 • 1 Reader • 440 pages

#118
An Introduction to Random Matrices

2009 • 1 Reader • 507 pages

#125
p-adic Differential Equations

2010 • 398 pages

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

2011 • 1 Reader • 572 pages

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

2011 • 1 Reader

#132
Models and Games

2011 • 1 Reader • 380 pages

#133
Linear Algebraic Groups and Finite Groups of Lie Type

2011 • 1 Reader • 324 pages

#134
Geometric Analysis

2012 • 1 Reader • 417 pages

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

2012 • 1 Reader • 475 pages

#139
Spectral Theory and Its Applications

2012 • 1 Reader • 250 pages

#150
Fourier Analysis and Hausdorff Dimension

2015 • 1 Reader • 455 pages

#153
Special Functions and Orthogonal Polynomials

2016 • 1 Reader • 489 pages

#154
Cover 2

Optimal Control and Geometry

#157
Cover 8

The Three-Dimensional Navier–Stokes Equations

1 Reader

#158
Lectures on K3 Surfaces

2016 • 1 Reader • 499 pages

#162
Fractals in Probability and Analysis

2016 • 1 Reader • 415 pages

#164
Cover 2

Galois Representations and

2017 • 1 Reader

#169
Geometry and Complexity Theory

2017 • 1 Reader • 353 pages

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

2017 • 1 Reader • 665 pages

#171
Quantum Fields and Processes: A Combinatorial Approach

2018 • 341 pages

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

2018 • 1 Reader • 589 pages

#175
Character Theory and the McKay Conjecture

2018 • 1 Reader • 253 pages

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

2018 • 1 Reader • 588 pages

#177
Formal Geometry and Bordism Operations

2018 • 1 Reader • 421 pages

#178
Lectures on Logarithmic Algebraic Geometry

2018 • 1 Reader • 559 pages

#180
Higher Categories and Homotopical Algebra

2019 • 448 pages

#181
A Comprehensive Introduction to Sub-Riemannian Geometry

2019 • 1 Reader • 765 pages

#182
Toeplitz Matrices and Operators

2020 • 453 pages

#183
Derived Categories

2019 • 1 Reader • 621 pages

#185
Cover 2

Foundations of Stable Homotopy Theory

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

2020 • 1 Reader • 405 pages

#188
From Categories to Homotopy Theory

2020 • 1 Reader • 401 pages

#189
Higher Index Theory

2020 • 1 Reader • 595 pages