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

#3 of 89 in Cambridge Studies in Advanced Mathematics

1982 • 396 pages

#5
Some Random Series of Functions

#5 of 89 in Cambridge Studies in Advanced Mathematics

1985 • 1 Reader • 324 pages

#7
Introduction to Higher-Order Categorical Logic

#7 of 89 in Cambridge Studies in Advanced Mathematics

1986 • 1 Reader

#8
Commutative Ring Theory

#8 of 89 in Cambridge Studies in Advanced Mathematics

1986 • 1 Reader • 338 pages

#10
Finite Group Theory

#10 of 89 in Cambridge Studies in Advanced Mathematics

1986 • 1 Reader • 320 pages

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

#11 of 89 in Cambridge Studies in Advanced Mathematics

1986 • 1 Reader • 188 pages

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

#14 of 89 in Cambridge Studies in Advanced Mathematics

1988 • 1 Reader • 176 pages

#15
Algebraic Homotopy

#15 of 89 in Cambridge Studies in Advanced Mathematics

1989 • 1 Reader • 488 pages

#20
Introductory Lectures on Siegel Modular Forms

#20 of 89 in Cambridge Studies in Advanced Mathematics

1990 • 1 Reader • 176 pages

#26
Clifford Algebras and Dirac Operators in Harmonic Analysis

#26 of 89 in Cambridge Studies in Advanced Mathematics

1991 • 1 Reader • 346 pages

#28
Topics in Metric Fixed Point Theory

#28 of 89 in Cambridge Studies in Advanced Mathematics

1990 • 1 Reader • 258 pages

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

#30 of 89 in Cambridge Studies in Advanced Mathematics

1991 • 1 Reader • 260 pages

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

#31 of 89 in Cambridge Studies in Advanced Mathematics

1991 • 1 Reader • 296 pages

#32
Cohomological Methods in Transformation Groups

#32 of 89 in Cambridge Studies in Advanced Mathematics

1993 • 1 Reader • 486 pages

#33
Lectures on Arakelov Geometry

#33 of 89 in Cambridge Studies in Advanced Mathematics

1992 • 1 Reader • 185 pages

#36
Representation Theory of Artin Algebras

#36 of 89 in Cambridge Studies in Advanced Mathematics

1995 • 1 Reader • 425 pages

#37
Wavelets and Operators

#37 of 89 in Cambridge Studies in Advanced Mathematics

1992 • 1 Reader • 223 pages

#38
An introduction to homological algebra

#38 of 89 in Cambridge Studies in Advanced Mathematics

1994 • 468 pages

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

#47 of 89 in Cambridge Studies in Advanced Mathematics

1996 • 1 Reader • 244 pages

#48
Wavelets: Calderón-Zygmund and Multilinear Operators

#48 of 89 in Cambridge Studies in Advanced Mathematics

1997 • 1 Reader • 340 pages

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

#49 of 89 in Cambridge Studies in Advanced Mathematics

1986 • 2 Readers • 340 pages

#50
Clifford Algebras and the Classical Groups

#50 of 89 in Cambridge Studies in Advanced Mathematics

1995 • 1 Reader • 308 pages

#51
Spinning Tops: A Course on Integrable Systems

#51 of 89 in Cambridge Studies in Advanced Mathematics

1996 • 1 Reader • 148 pages

#53
Groups as Galois Groups: An Introduction

#53 of 89 in Cambridge Studies in Advanced Mathematics

1996 • 1 Reader • 268 pages

#54
Lectures on Vector Bundles

#54 of 89 in Cambridge Studies in Advanced Mathematics

1997 • 1 Reader • 251 pages

#55
Automorphic Forms and Representations

#55 of 89 in Cambridge Studies in Advanced Mathematics

1997 • 1 Reader • 592 pages

#56
Cohomology of Drinfeld Modular Varieties

#56 of 89 in Cambridge Studies in Advanced Mathematics

1997 • 1 Reader • 380 pages

#58
A User's Guide to Spectral Sequences

#58 of 89 in Cambridge Studies in Advanced Mathematics

2000 • 1 Reader • 560 pages

#59
Practical Foundations of Mathematics

#59 of 89 in Cambridge Studies in Advanced Mathematics

1999 • 588 pages

#60
Local Cohomology: An Algebraic Introduction with Geometric Applications

#60 of 89 in Cambridge Studies in Advanced Mathematics

1998 • 1 Reader • 442 pages

#63
Uniform Central Limit Theorems

#63 of 89 in Cambridge Studies in Advanced Mathematics

1999 • 1 Reader • 450 pages

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

#65 of 89 in Cambridge Studies in Advanced Mathematics

2000 • 1 Reader • 286 pages

#69
Modular Forms and Galois Cohomology

#69 of 89 in Cambridge Studies in Advanced Mathematics

2000 • 1 Reader • 343 pages

#70
Fourier Analysis and Partial Differential Equations

#70 of 89 in Cambridge Studies in Advanced Mathematics

2001 • 1 Reader

#72
Galois Theories

#72 of 89 in Cambridge Studies in Advanced Mathematics

2001 • 1 Reader • 356 pages

#73
Random Graphs

#73 of 89 in Cambridge Studies in Advanced Mathematics

1985 • 1 Reader • 498 pages

#75
Complex Polynomials

#75 of 89 in Cambridge Studies in Advanced Mathematics

2002 • 1 Reader • 452 pages

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

#76 of 89 in Cambridge Studies in Advanced Mathematics

1998 • 1 Reader • 332 pages

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

#77 of 89 in Cambridge Studies in Advanced Mathematics

1999 • 1 Reader • 364 pages

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

#79 of 89 in Cambridge Studies in Advanced Mathematics

1999 • 1 Reader • 518 pages

#81
An Introduction to Invariants and Moduli

#81 of 89 in Cambridge Studies in Advanced Mathematics

2012 • 1 Reader • 524 pages

#86
Cover 8

Multidimensional Real Analysis I

#86 of 89 in Cambridge Studies in Advanced Mathematics

2004 • 1 Reader

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

#87 of 89 in Cambridge Studies in Advanced Mathematics

2004 • 1 Reader • 396 pages

#91
Introduction to Foliations and Lie Groupoids

#91 of 89 in Cambridge Studies in Advanced Mathematics

2003 • 1 Reader • 184 pages

#96
Lie Algebras of Finite and Affine Type

#96 of 89 in Cambridge Studies in Advanced Mathematics

2005 • 1 Reader

#98
Riemannian Geometry: A Modern Introduction

#98 of 89 in Cambridge Studies in Advanced Mathematics

1994 • 1 Reader

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

#99 of 89 in Cambridge Studies in Advanced Mathematics

2002 • 1 Reader • 508 pages

#101
Central Simple Algebras and Galois Cohomology

#101 of 89 in Cambridge Studies in Advanced Mathematics

2017 • 1 Reader • 430 pages

#103
Langlands Correspondence for Loop Groups

#103 of 89 in Cambridge Studies in Advanced Mathematics

2007 • 1 Reader • 379 pages

#104
NONLINEAR ANALYSIS AND SEMILINEAR ELLIPTIC PROBLEMS.

#104 of 89 in Cambridge Studies in Advanced Mathematics

2007 • 334 pages

#106
Linear Operators and their Spectra

#106 of 89 in Cambridge Studies in Advanced Mathematics

2007 • 1 Reader • 464 pages

#107
Complex Analysis

#107 of 89 in Cambridge Studies in Advanced Mathematics

2007 • 1 Reader • 418 pages

#109
An Introduction to Contact Topology

#109 of 89 in Cambridge Studies in Advanced Mathematics

2007 • 1 Reader • 458 pages

#110
Analysis on Lie Groups: An Introduction

#110 of 89 in Cambridge Studies in Advanced Mathematics

2008 • 1 Reader • 318 pages

#113
An Introduction to Lie Groups and Lie Algebras

#113 of 89 in Cambridge Studies in Advanced Mathematics

2008 • 1 Reader • 237 pages

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

#114 of 89 in Cambridge Studies in Advanced Mathematics

2003 • 1 Reader • 450 pages

#116
Levy Processes and Stochastic Calculus

#116 of 89 in Cambridge Studies in Advanced Mathematics

2004 • 1 Reader • 440 pages

#118
An Introduction to Random Matrices

#118 of 89 in Cambridge Studies in Advanced Mathematics

2009 • 1 Reader • 507 pages

#125
p-adic Differential Equations

#125 of 89 in Cambridge Studies in Advanced Mathematics

2010 • 398 pages

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

#129 of 89 in Cambridge Studies in Advanced Mathematics

2011 • 1 Reader • 572 pages

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

#130 of 89 in Cambridge Studies in Advanced Mathematics

2011 • 1 Reader

#132
Models and Games

#132 of 89 in Cambridge Studies in Advanced Mathematics

2011 • 1 Reader • 380 pages

#133
Linear Algebraic Groups and Finite Groups of Lie Type

#133 of 89 in Cambridge Studies in Advanced Mathematics

2011 • 1 Reader • 324 pages

#134
Geometric Analysis

#134 of 89 in Cambridge Studies in Advanced Mathematics

2012 • 1 Reader • 417 pages

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

#135 of 89 in Cambridge Studies in Advanced Mathematics

2012 • 1 Reader • 475 pages

#139
Spectral Theory and Its Applications

#139 of 89 in Cambridge Studies in Advanced Mathematics

2012 • 1 Reader • 250 pages

#150
Fourier Analysis and Hausdorff Dimension

#150 of 89 in Cambridge Studies in Advanced Mathematics

2015 • 1 Reader • 455 pages

#153
Special Functions and Orthogonal Polynomials

#153 of 89 in Cambridge Studies in Advanced Mathematics

2016 • 1 Reader • 489 pages

#154
Cover 2

Optimal Control and Geometry

#154 of 89 in Cambridge Studies in Advanced Mathematics

#157
Cover 8

The Three-Dimensional Navier–Stokes Equations

#157 of 89 in Cambridge Studies in Advanced Mathematics

1 Reader

#158
Lectures on K3 Surfaces

#158 of 89 in Cambridge Studies in Advanced Mathematics

2016 • 1 Reader • 499 pages

#162
Fractals in Probability and Analysis

#162 of 89 in Cambridge Studies in Advanced Mathematics

2016 • 1 Reader • 415 pages

#164
Cover 2

Galois Representations and

#164 of 89 in Cambridge Studies in Advanced Mathematics

2017 • 1 Reader

#169
Geometry and Complexity Theory

#169 of 89 in Cambridge Studies in Advanced Mathematics

2017 • 1 Reader • 353 pages

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

#170 of 89 in Cambridge Studies in Advanced Mathematics

2017 • 1 Reader • 665 pages

#171
Quantum Fields and Processes: A Combinatorial Approach

#171 of 89 in Cambridge Studies in Advanced Mathematics

2018 • 341 pages

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

#172 of 89 in Cambridge Studies in Advanced Mathematics

2018 • 1 Reader • 589 pages

#175
Character Theory and the McKay Conjecture

#175 of 89 in Cambridge Studies in Advanced Mathematics

2018 • 1 Reader • 253 pages

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

#176 of 89 in Cambridge Studies in Advanced Mathematics

2018 • 1 Reader • 588 pages

#177
Formal Geometry and Bordism Operations

#177 of 89 in Cambridge Studies in Advanced Mathematics

2018 • 1 Reader • 421 pages

#178
Lectures on Logarithmic Algebraic Geometry

#178 of 89 in Cambridge Studies in Advanced Mathematics

2018 • 1 Reader • 559 pages

#180
Higher Categories and Homotopical Algebra

#180 of 89 in Cambridge Studies in Advanced Mathematics

2019 • 448 pages

#181
A Comprehensive Introduction to Sub-Riemannian Geometry

#181 of 89 in Cambridge Studies in Advanced Mathematics

2019 • 1 Reader • 765 pages

#182
Toeplitz Matrices and Operators

#182 of 89 in Cambridge Studies in Advanced Mathematics

2020 • 453 pages

#183
Derived Categories

#183 of 89 in Cambridge Studies in Advanced Mathematics

2019 • 1 Reader • 621 pages

#185
Cover 2

Foundations of Stable Homotopy Theory

#185 of 89 in Cambridge Studies in Advanced Mathematics

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

#187 of 89 in Cambridge Studies in Advanced Mathematics

2020 • 1 Reader • 405 pages

#188
From Categories to Homotopy Theory

#188 of 89 in Cambridge Studies in Advanced Mathematics

2020 • 1 Reader • 401 pages

#189
Higher Index Theory

#189 of 89 in Cambridge Studies in Advanced Mathematics

2020 • 1 Reader • 595 pages