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
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| #5 |  Some Random Series of Functions
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| #7 |  Introduction to Higher-Order Categorical Logic
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| #8 |  Commutative Ring Theory
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| #10 |  Finite Group Theory
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| #11 |  Local Representation Theory: Modular Representations as an Introduction to the Local Representation Theory of Finite Groups
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| #14 |  An Introduction to the Theory of the Riemann Zeta-Function
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| #15 |  Algebraic Homotopy
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| #20 |  Introductory Lectures on Siegel Modular Forms
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| #26 |  Clifford Algebras and Dirac Operators in Harmonic Analysis
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| #28 |  Topics in Metric Fixed Point Theory
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| #30 |  Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras
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| #31 |  Representations and Cohomology: Volume 2, Cohomology of Groups and Modules
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| #32 |  Cohomological Methods in Transformation Groups
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| #33 |  Lectures on Arakelov Geometry
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| #36 |  Representation Theory of Artin Algebras
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| #37 |  Wavelets and Operators
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| #38 |  An introduction to homological algebra
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| #47 |  An Algebraic Introduction to Complex Projective Geometry: Commutative Algebra
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| #48 |  Wavelets: Calderón-Zygmund and Multilinear Operators
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| #49 |  Cambridge Studies in Advanced Mathematics, Volume 49: Enumerative Combinatorics, Volume 1
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| #50 |  Clifford Algebras and the Classical Groups
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| #51 |  Spinning Tops: A Course on Integrable Systems
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| #53 |  Groups as Galois Groups: An Introduction
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| #54 |  Lectures on Vector Bundles
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| #55 |  Automorphic Forms and Representations
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| #56 |  Cohomology of Drinfeld Modular Varieties
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| #58 |  A User's Guide to Spectral Sequences
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| #59 |  Practical Foundations of Mathematics
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| #60 |  Local Cohomology: An Algebraic Introduction with Geometric Applications
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| #63 |  Uniform Central Limit Theorems
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| #65 |  An Introduction to Rings and Modules: With K-Theory in View
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| #69 |  Modular Forms and Galois Cohomology
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| #70 |  Fourier Analysis and Partial Differential Equations
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| #72 |  Galois Theories
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| #73 |  Random Graphs
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| #75 |  Complex Polynomials
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| #76 |  Hodge Theory and Complex Algebraic Geometry I: Volume 1
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| #77 |  Hodge Theory and Complex Algebraic Geometry II: Volume 2
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| #79 |  Soliton Equations and their Algebro-Geometric Solutions: Volume 1,
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| #81 |  An Introduction to Invariants and Moduli
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| #86 |  Multidimensional Real Analysis I Multidimensional Real Analysis I: Differentiation
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| #87 |  Multidimensional Real Analysis Volume II: Integration. Cambridge Studies in Advanced Mathematics, Volume 87
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| #91 |  Introduction to Foliations and Lie Groupoids
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| #96 |  Lie Algebras of Finite and Affine Type
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| #98 |  Riemannian Geometry: A Modern Introduction
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| #99 |  Automorphic Forms and L-Functions for the Group GL
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| #101 |  Central Simple Algebras and Galois Cohomology
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| #103 |  Langlands Correspondence for Loop Groups
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| #104 |  NONLINEAR ANALYSIS AND SEMILINEAR ELLIPTIC PROBLEMS.
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| #106 |  Linear Operators and their Spectra
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| #107 |  Complex Analysis
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| #109 |  An Introduction to Contact Topology
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| #110 |  Analysis on Lie Groups: An Introduction
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| #113 |  An Introduction to Lie Groups and Lie Algebras
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| #114 |  Soliton Equations and Their Algebro-Geometric Solutions: Volume 2,
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| #116 |  Levy Processes and Stochastic Calculus
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| #118 |  An Introduction to Random Matrices
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| #125 |  p-adic Differential Equations
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| #129 |  Automorphic Representations and L-Functions for the General Linear Group: Volume 1
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| #130 |  Automorphic Representations and L-Functions for the General Linear Group: Volume 2
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| #132 |  Models and Games
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| #133 |  Linear Algebraic Groups and Finite Groups of Lie Type
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| #134 |  Geometric Analysis
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| #135 |  Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory
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| #139 |  Spectral Theory and Its Applications
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| #150 |  Fourier Analysis and Hausdorff Dimension
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| #153 |  Special Functions and Orthogonal Polynomials
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| #154 |  Optimal Control and Geometry Optimal Control and Geometry: Integrable Systems
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| #157 | The Three-Dimensional Navier–Stokes Equations The Three-Dimensional Navier–Stokes Equations: Classical Theory
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| #158 |  Lectures on K3 Surfaces
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| #162 |  Fractals in Probability and Analysis
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| #164 | Galois Representations and Galois Representations and
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| #169 |  Geometry and Complexity Theory
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| #170 |  Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field
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| #171 |  Quantum Fields and Processes: A Combinatorial Approach
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| #172 |  Discrete Harmonic Analysis: Representations, Number Theory, Expanders, and the Fourier Transform
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| #175 |  Character Theory and the McKay Conjecture
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| #176 |  Eisenstein Series and Automorphic Representations: With Applications in String Theory
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| #177 |  Formal Geometry and Bordism Operations
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| #178 |  Lectures on Logarithmic Algebraic Geometry
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| #180 |  Higher Categories and Homotopical Algebra
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| #181 |  A Comprehensive Introduction to Sub-Riemannian Geometry
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| #182 |  Toeplitz Matrices and Operators
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| #183 |  Derived Categories
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| #185 | Foundations of Stable Homotopy Theory Foundations of Stable Homotopy Theory
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| #187 |  The Character Theory of Finite Groups of Lie Type: A Guided Tour
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| #188 |  From Categories to Homotopy Theory
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| #189 |  Higher Index Theory
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