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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
#3FirstPublished
Stone Spaces
ByPeter T. Johnstone

1982 • 396 pages

Some Random Series of Functions
#5MostPopular
Some Random Series of Functions
ByJean-Pierre Kahane

1985 • 1 Reader • 324 pages

Introduction to Higher-Order Categorical Logic
#7
Introduction to Higher-Order Categorical Logic
ByJ. Lambek,P. J. Scott

1986 • 1 Reader

Commutative Ring Theory
#8
Commutative Ring Theory
ByH. Matsumura,Miles Reid(Translator)

1986 • 1 Reader • 338 pages

Finite Group Theory
#10
Finite Group Theory
ByMichael Aschbacher

1986 • 1 Reader • 320 pages

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

1986 • 1 Reader • 188 pages

An Introduction to the Theory of the Riemann Zeta-Function
#14
An Introduction to the Theory of the Riemann Zeta-Function
ByS.J. Patterson

1988 • 1 Reader • 176 pages

Algebraic Homotopy
#15
Algebraic Homotopy
ByHans Joachim Baues

1989 • 1 Reader • 488 pages

Introductory Lectures on Siegel Modular Forms
#20
Introductory Lectures on Siegel Modular Forms
ByHelmut Klingen

1990 • 1 Reader • 176 pages

Clifford Algebras and Dirac Operators in Harmonic Analysis
#26
Clifford Algebras and Dirac Operators in Harmonic Analysis
ByJohn E. Gilbert,Margaret A.M. Murray

1991 • 1 Reader • 346 pages

Topics in Metric Fixed Point Theory
#28
Topics in Metric Fixed Point Theory
ByKazimierz Goebel,W. A. Kirk

1990 • 1 Reader • 258 pages

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
ByD.J. Benson

1991 • 1 Reader • 260 pages

Representations and Cohomology: Volume 2, Cohomology of Groups and Modules
#31
Representations and Cohomology: Volume 2, Cohomology of Groups and Modules
ByD.J. Benson

1991 • 1 Reader • 296 pages

Cohomological Methods in Transformation Groups
#32
Cohomological Methods in Transformation Groups
ByC. Allday,Christopher James Allday,+1 more

1993 • 1 Reader • 486 pages

Lectures on Arakelov Geometry
#33
Lectures on Arakelov Geometry
ByC. Soulé

1992 • 1 Reader • 185 pages

Representation Theory of Artin Algebras
#36
Representation Theory of Artin Algebras
ByMaurice Auslander,Idun Reiten,+1 more

1995 • 1 Reader • 425 pages

Wavelets and Operators
#37
Wavelets and Operators
ByYves Meyer,D. H. Salinger(Translator)

1992 • 1 Reader • 223 pages

An introduction to homological algebra
#38
An introduction to homological algebra
ByCharles A. Weibel

1994 • 468 pages

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

1996 • 1 Reader • 244 pages

Wavelets: Calderón-Zygmund and Multilinear Operators
#48
Wavelets: Calderón-Zygmund and Multilinear Operators
ByYves Meyer,Ronald Coifman,+1 more

1997 • 1 Reader • 340 pages

Cambridge Studies in Advanced Mathematics, Volume 49: Enumerative Combinatorics, Volume 1
#49
Cambridge Studies in Advanced Mathematics, Volume 49: Enumerative Combinatorics, Volume 1
ByRichard P. Stanley,Gian-Carlo Rota(Foreword)

1986 • 1 Reader • 340 pages

Clifford Algebras and the Classical Groups
#50
Clifford Algebras and the Classical Groups
ByIan R. Porteous

1995 • 1 Reader • 308 pages

Spinning Tops: A Course on Integrable Systems
#51
Spinning Tops: A Course on Integrable Systems
ByMichèle Audin

1996 • 1 Reader • 148 pages

Groups as Galois Groups: An Introduction
#53
Groups as Galois Groups: An Introduction
ByHelmut Volklein

1996 • 1 Reader • 268 pages

Lectures on Vector Bundles
#54
Lectures on Vector Bundles
ByJ. Le Potier,Antony Macioca(Translator)

1997 • 1 Reader • 251 pages

Automorphic Forms and Representations
#55
Automorphic Forms and Representations
ByDaniel Bump

1997 • 1 Reader • 592 pages

Cohomology of Drinfeld Modular Varieties
#56
Cohomology of Drinfeld Modular Varieties
ByGérard Laumon,Jean Loup Waldspurger(Contributor)

1997 • 1 Reader • 380 pages

A User's Guide to Spectral Sequences
#58
A User's Guide to Spectral Sequences
ByJohn McCleary

2000 • 1 Reader • 560 pages

Practical Foundations of Mathematics
#59
Practical Foundations of Mathematics
ByPaul Taylor

1999 • 588 pages

Local Cohomology: An Algebraic Introduction with Geometric Applications
#60
Local Cohomology: An Algebraic Introduction with Geometric Applications
ByM.P. Brodmann,R.Y. Sharp

1998 • 1 Reader • 442 pages

Uniform Central Limit Theorems
#63
Uniform Central Limit Theorems
ByR.M. Dudley

1999 • 1 Reader • 450 pages

An Introduction to Rings and Modules: With K-Theory in View
#65
An Introduction to Rings and Modules: With K-Theory in View
ByA.J. Berrick,M.E. Keating

2000 • 1 Reader • 286 pages

Modular Forms and Galois Cohomology
#69
Modular Forms and Galois Cohomology
ByHaruzo Hida

2000 • 1 Reader • 343 pages

Fourier Analysis and Partial Differential Equations
#70
Fourier Analysis and Partial Differential Equations
ByRafael José Iorio Jr.,Valéria de Magalhães Iorio

2001 • 1 Reader

Galois Theories
#72
Galois Theories
ByFrancis Borceux,George Janelidze

2001 • 1 Reader • 356 pages

Random Graphs
#73
Random Graphs
ByBéla Bollobás

1985 • 1 Reader • 498 pages

Complex Polynomials
#75
Complex Polynomials
ByT. Sheil-Small

2002 • 1 Reader • 452 pages

Hodge Theory and Complex Algebraic Geometry I: Volume 1
#76
Hodge Theory and Complex Algebraic Geometry I: Volume 1
ByClaire Voisin,Leila Schneps(Translator)

1998 • 1 Reader • 332 pages

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

1999 • 1 Reader • 364 pages

Soliton Equations and their Algebro-Geometric Solutions: Volume 1,
#79
Soliton Equations and their Algebro-Geometric Solutions: Volume 1,
ByFritz Gesztesy,Helge Holden

1999 • 1 Reader • 518 pages

An Introduction to Invariants and Moduli
#81
An Introduction to Invariants and Moduli
ByShigeru Mukai,W. M. Oxbury(Translator)

2012 • 1 Reader • 524 pages

Cover 8

Multidimensional Real Analysis I

#86
Multidimensional Real Analysis I: Differentiation
ByJ.J. Duistermaat,J.A.C. Kolk,+1 more

2004 • 1 Reader

Multidimensional Real Analysis Volume II: Integration. Cambridge Studies in Advanced Mathematics, Volume 87
#87
Multidimensional Real Analysis Volume II: Integration. Cambridge Studies in Advanced Mathematics, Volume 87
ByJ.J. Duistermaat,J.A.C. Kolk

2004 • 1 Reader • 396 pages

Introduction to Foliations and Lie Groupoids
#91
Introduction to Foliations and Lie Groupoids
ByI. Moerdijk,J. Mrcun

2003 • 1 Reader • 184 pages

Lie Algebras of Finite and Affine Type
#96
Lie Algebras of Finite and Affine Type
ByRoger Carter

2005 • 1 Reader

Riemannian Geometry: A Modern Introduction
#98
Riemannian Geometry: A Modern Introduction
ByIsaac Chavel

1994 • 1 Reader

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

2002 • 1 Reader • 508 pages

Central Simple Algebras and Galois Cohomology
#101
Central Simple Algebras and Galois Cohomology
ByPhilippe Gille,Tamás Szamuely

2017 • 1 Reader • 430 pages

Langlands Correspondence for Loop Groups
#103
Langlands Correspondence for Loop Groups
ByEdward Frenkel

2007 • 1 Reader • 379 pages

NONLINEAR ANALYSIS AND SEMILINEAR ELLIPTIC PROBLEMS.
#104
NONLINEAR ANALYSIS AND SEMILINEAR ELLIPTIC PROBLEMS.
ByAntonio Ambrosetti,Andrea Malchiodi

2007 • 334 pages

Linear Operators and their Spectra
#106
Linear Operators and their Spectra
ByE. Brian Davies

2007 • 1 Reader • 464 pages

Complex Analysis
#107
Complex Analysis
ByKunihiko Kodaira

2007 • 1 Reader • 418 pages

An Introduction to Contact Topology
#109
An Introduction to Contact Topology
ByHansjörg Geiges

2007 • 1 Reader • 458 pages

Analysis on Lie Groups: An Introduction
#110
Analysis on Lie Groups: An Introduction
ByJacques Faraut

2008 • 1 Reader • 318 pages

An Introduction to Lie Groups and Lie Algebras
#113
An Introduction to Lie Groups and Lie Algebras
ByAlexander Kirillov Jr Jr

2008 • 1 Reader • 237 pages

Soliton Equations and Their Algebro-Geometric Solutions: Volume 2,
#114
Soliton Equations and Their Algebro-Geometric Solutions: Volume 2,
ByFritz Gesztesy,Helge Holden,+2 more

2003 • 1 Reader • 450 pages

Levy Processes and Stochastic Calculus
#116
Levy Processes and Stochastic Calculus
ByDavid Applebaum

2004 • 1 Reader • 440 pages

An Introduction to Random Matrices
#118
An Introduction to Random Matrices
ByGreg W. Anderson,Alice Guionnet,+1 more

2009 • 1 Reader • 507 pages

p-adic Differential Equations
#125
p-adic Differential Equations
ByKiran S. Kedlaya

2010 • 398 pages

Automorphic Representations and L-Functions for the General Linear Group: Volume 1
#129
Automorphic Representations and L-Functions for the General Linear Group: Volume 1
ByDorian Goldfeld,Joseph Hundley

2011 • 1 Reader • 572 pages

Automorphic Representations and L-Functions for the General Linear Group: Volume 2
#130
Automorphic Representations and L-Functions for the General Linear Group: Volume 2
ByDorian Goldfeld,Joseph Hundley

2011 • 1 Reader

Models and Games
#132
Models and Games
ByJouko Väänänen

2011 • 1 Reader • 380 pages

Linear Algebraic Groups and Finite Groups of Lie Type
#133
Linear Algebraic Groups and Finite Groups of Lie Type
ByGunter Malle,Donna Testerman

2011 • 1 Reader • 324 pages

Geometric Analysis
#134
Geometric Analysis
ByPeter Li

2012 • 1 Reader • 417 pages

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

2012 • 1 Reader • 475 pages

Spectral Theory and Its Applications
#139
Spectral Theory and Its Applications
ByBernard Helffer

2012 • 1 Reader • 250 pages

Fourier Analysis and Hausdorff Dimension
#150
Fourier Analysis and Hausdorff Dimension
ByPertti Mattila

2015 • 1 Reader • 455 pages

Special Functions and Orthogonal Polynomials
#153
Special Functions and Orthogonal Polynomials
ByRichard Beals,Roderick Wong

2016 • 1 Reader • 489 pages

Cover 2

Optimal Control and Geometry

#154
Optimal Control and Geometry: Integrable Systems
ByV. Jurdjevic

Cover 8

The Three-Dimensional Navier–Stokes Equations

#157
The Three-Dimensional Navier–Stokes Equations: Classical Theory
ByJames C. Robinson,José L. Rodrigo,+1 more

1 Reader

Lectures on K3 Surfaces
#158
Lectures on K3 Surfaces
ByDaniel Huybrechts

2016 • 1 Reader • 499 pages

Fractals in Probability and Analysis
#162
Fractals in Probability and Analysis
ByChristopher J. Bishop,Yuval Peres

2016 • 1 Reader • 415 pages

Cover 2

Galois Representations and

#164
Galois Representations and
ByPeter Schneider

2017 • 1 Reader

Geometry and Complexity Theory
#169
Geometry and Complexity Theory
ByJ.M. Landsberg

2017 • 1 Reader • 353 pages

Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field
#170
Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field
ByJ.S. Milne

2017 • 1 Reader • 665 pages

Quantum Fields and Processes: A Combinatorial Approach
#171
Quantum Fields and Processes: A Combinatorial Approach
ByJohn Gough

2018 • 341 pages

Discrete Harmonic Analysis: Representations, Number Theory, Expanders, and the Fourier Transform
#172
Discrete Harmonic Analysis: Representations, Number Theory, Expanders, and the Fourier Transform
ByTullio Ceccherini-Silberstein

2018 • 1 Reader • 589 pages

Character Theory and the McKay Conjecture
#175
Character Theory and the McKay Conjecture
ByGabriel Navarro

2018 • 1 Reader • 253 pages

Eisenstein Series and Automorphic Representations: With Applications in String Theory
#176
Eisenstein Series and Automorphic Representations: With Applications in String Theory
ByPhilipp Fleig,Henrik P.A. Gustafsson,+2 more

2018 • 1 Reader • 588 pages

Formal Geometry and Bordism Operations
#177
Formal Geometry and Bordism Operations
ByEric Peterson

2018 • 1 Reader • 421 pages

Lectures on Logarithmic Algebraic Geometry
#178
Lectures on Logarithmic Algebraic Geometry
ByArthur Ogus

2018 • 1 Reader • 559 pages

Higher Categories and Homotopical Algebra
#180
Higher Categories and Homotopical Algebra
ByDenis-Charles Cisinski

2019 • 448 pages

A Comprehensive Introduction to Sub-Riemannian Geometry
#181
A Comprehensive Introduction to Sub-Riemannian Geometry
ByAndrei Agrachev,Davide Barilari,+1 more

2019 • 1 Reader • 765 pages

Toeplitz Matrices and Operators
#182
Toeplitz Matrices and Operators
ByNikolai Nikolski,Danièle Gibbons(Translation),+1 more

2020 • 453 pages

Derived Categories
#183
Derived Categories
ByAmnon Yekutieli

2019 • 1 Reader • 621 pages

Cover 2

Foundations of Stable Homotopy Theory

#185
Foundations of Stable Homotopy Theory
ByDavid Barnes,Constanze Roitzheim

The Character Theory of Finite Groups of Lie Type: A Guided Tour
#187
The Character Theory of Finite Groups of Lie Type: A Guided Tour
ByMeinolf Geck,Gunter Malle

2020 • 1 Reader • 405 pages

From Categories to Homotopy Theory
#188
From Categories to Homotopy Theory
ByBirgit Richter

2020 • 1 Reader • 401 pages

Higher Index Theory
#189
Higher Index Theory
ByRufus Willett,Guoliang Yu

2020 • 1 Reader • 595 pages