Graduate Studies in Mathematics

Graduate Studies in Mathematics (GSM) is a series of graduate-level textbooks in mathematics published by the American Mathematical Society (AMS). The books in this series are published in hardcover and e-book formats.

List of books

Volume Title Author(s) Year ISBN 1 The General Topology of Dynamical Systems Ethan Akin 1993 2 Combinatorial Rigidity Jack Graver, Brigitte Servatius, Herman Servatius 1993 3 An Introduction to Gröbner Bases William W. Adams, Philippe Loustaunau 1994 4 The Integrals of Lebesgue, Denjoy, Perron, and Henstock Russell A. Gordon 1994 5 Algebraic Curves and Riemann Surfaces Rick Miranda 1995 6 Lectures on Quantum Groups Jens Carsten Jantzen 1996 7 Algebraic Number Fields Gerald J. Janusz 1996, 2nd ed. 8 Discovering Modern Set Theory. I: The Basics Winfried Just, Martin Weese 1996 9 An Invitation to Arithmetic Geometry Dino Lorenzini 1996 10 Representations of Finite and Compact Groups Barry Simon 1996 11 Enveloping Algebras Jacques Dixmier 1996 12 Lectures on Elliptic and Parabolic Equations in Hölder Spaces N. V. Krylov 1996 13 The Ergodic Theory of Discrete Sample Paths Paul C. Shields 1996 14 Analysis Elliott H. Lieb, Michael Loss 2001, 2nd ed. 15This book has a companion volume: FTOAN/3.S Fundamentals of the Theory of Operator Algebras. Volume III, Richard V. Kadison, John R. Ringrose (1991, ). Fundamentals of the Theory of Operator Algebras. Volume I: Elementary Theory Richard V. Kadison, John R. Ringrose 1997 16This book has a companion volume: FTOAN/4.S Fundamentals of the Theory of Operator Algebras. Volume IV, Richard V. Kadison, John R. Ringrose (1991, ). Fundamentals of the Theory of Operator Algebras. Volume II: Advanced Theory Richard V. Kadison, John R. Ringrose 1997 17 Topics in Classical Automorphic Forms Henryk Iwaniec 1997 18 Discovering Modern Set Theory. II: Set-Theoretic Tools for Every Mathematician Winfried Just, Martin Weese 1997 19 Partial Differential Equations Lawrence C. Evans 2010, 2nd ed. 20 4-Manifolds and Kirby Calculus Robert E. Gompf, András I. Stipsicz 1999 21 A Course in Operator Theory John B. Conway 2000 22 Growth of Algebras and Gelfand-Kirillov Dimension Günter R. Krause, Thomas H. Lenagan 2000, Revised ed. 23 Foliations I Alberto Candel, Lawrence Conlon 2000 24 Number Theory: Algebraic Numbers and Functions Helmut Koch 2000 25 Dirac Operators in Riemannian Geometry Thomas Friedrich 2000 26 An Introduction to Symplectic Geometry Rolf Berndt 2001 27 A Course in Differential Geometry Thierry Aubin 2001 28 Notes on Seiberg-Witten Theory Liviu I. Nicolaescu 2000 29 Fourier Analysis Javier Duoandikoetxea 2001 30 Noncommutative Noetherian Rings J. C. McConnell, J. C. Robson 1987 31 Option Pricing and Portfolio Optimization: Modern Methods of Financial Mathematics Ralf Korn, Elke Korn 2001 32This book has a companion volume: GSM/32.M Solutions Manual to A Modern Theory of Integration, Robert G. Bartle (2001, ). A Modern Theory of Integration Robert G. Bartle 2001 33 A Course in Metric Geometry Dmitri Burago, Yuri Burago, Sergei Ivanov 2001 34 Differential Geometry, Lie Groups, and Symmetric Spaces Sigurdur Helgason 2001 35 Lecture Notes in Algebraic Topology James F. Davis, Paul Kirk 2001 36 Principles of Functional Analysis Martin Schechter 2002, 2nd ed. 37 Theta Constants, Riemann Surfaces and the Modular Group: An Introduction with Applications to Uniformization Theorems, Partition Identities and Combinatorial Number Theory Hershel M. Farkas, Irwin Kra 2001 38 Stochastic Analysis on Manifolds Elton P. Hsu 2002 39 Classical Groups and Geometric Algebra Larry C. Grove 2002 40 Function Theory of One Complex Variable Robert E. Greene, Steven G. Krantz 2006, 3rd ed. 41 Introduction to the Theory of Differential Inclusions Georgi V. Smirnov 2002 42 Introduction to Quantum Groups and Crystal Bases Jin Hong, Seok-Jin Kang 2002 43 Introduction to the Theory of Random Processes N. V. Krylov 2002 44 Pick Interpolation and Hilbert Function Spaces Jim Agler, John E. McCarthy 2002 45 An Introduction to Measure and Integration Inder K. Rana 2002, 2nd ed. 46 Several Complex Variables with Connections to Algebraic Geometry and Lie Groups Joseph L. Taylor 2002 47 Classical and Quantum Computation A. Yu. Kitaev, A. H. Shen, M. N. Vyalyi 2002 48The second edition of this title is volume 239. Introduction to the h-Principle Y. Eliashberg, N. Mishachev 2002 49 Secondary Cohomology Operations John R. Harper 2002 50Two volume set is GSMSET (2002, ). An Invitation to Operator Theory Y. A. Abramovich, C. D. Aliprantis 2002 51 Problems in Operator Theory Y. A. Abramovich, C. D. Aliprantis 2002 52 Global Analysis: Differential Forms in Analysis, Geometry and Physics Ilka Agricola, Thomas Friedrich 2002 53 Spectral Methods of Automorphic Forms Henryk Iwaniec 2002, 2nd ed. 54 A Course in Convexity Alexander Barvinok 2002 55 A Scrapbook of Complex Curve Theory C. Herbert Clemens 2003, 2nd ed. 56 A Course in Algebra E. B. Vinberg 2003 57 Concise Numerical Mathematics Robert Plato 2003 58 Topics in Optimal Transportation Cédric Villani 2003 59 Representation Theory of Finite Groups: Algebra and Arithmetic Steven H. Weintraub 2003 60 Foliations II Alberto Candel, Lawrence Conlon 2003 61The second edition of this title is volume 175. Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems Thomas A. Ivey, J. M. Landsberg 2003 62 A Companion to Analysis: A Second First and First Second Course in Analysis T. W. Körner 2004 63 Resolution of Singularities Steven Dale Cutkosky 2004 64 Lectures on the Orbit Method A. A. Kirillov 2004 65 Global Calculus S. Ramanan 2005 66 Functional Analysis: An Introduction Yuli Eidelman, Vitali Milman, Antonis Tsolomitis 2004 67 Introduction to Quadratic Forms over Fields T.Y. Lam 2005 68 A Geometric Approach to Free Boundary Problems Luis Caffarelli, Sandro Salsa 2005 69 Curves and Surfaces Sebastián Montiel, Antonio Ros 2009, 2nd ed. 70 Probability Theory in Finance: A Mathematical Guide to the Black-Scholes Formula Seán Dineen 2013, 2nd ed. 71 Modern Geometric Structures and Fields S. P. Novikov, I. A. Taimanov 2006 72 Introduction to the Mathematics of Finance Ruth J. Williams 2006 73 Graduate Algebra: Commutative View Louis Halle Rowen 2006 74 Elements of Combinatorial and Differential Topology V. V. Prasolov 2006 75 Applied Asymptotic Analysis Peter D. Miller 2006 76 Measure Theory and Integration Michael E. Taylor 2006 77 Hamilton's Ricci Flow Bennett Chow, Peng Lu, Lei Ni 2006 78The third edition of this title is volume 232. Linear Algebra in Action Harry Dym 2013, 2nd ed. 79 Modular Forms, a Computational Approach William A. Stein 2007 80 Probability Davar Khoshnevisan 2007 81This book is a natural continuation of volume 74. Elements of Homology Theory V. V. Prasolov 2007 82 Pseudo-differential Operators and the Nash-Moser Theorem Serge Alinhac, Patrick Gérard 2007 83 Functions of Several Complex Variables and Their Singularities Wolfgang Ebeling 2007 84 Cones and Duality Charalambos D. Aliprantis, Rabee Tourky 2007 85 Recurrence and Topology John M. Alongi, Gail S. Nelson 2007 86 Lectures on Analytic Differential Equations Yulij Ilyashenko, Sergei Yakovenko 2008 87 Twenty-Four Hours of Local Cohomology Srikanth B. Iyengar, Graham J. Leuschke, Anton Leykin, Claudia Miller, Ezra Miller, Anurag K. Singh, Uli Walther 2007 88 C∗-Algebras and Finite-Dimensional Approximations Nathanial P. Brown, Narutaka Ozawa 2008 89 A Course on the Web Graph Anthony Bonato 2008 90 Basic Quadratic Forms Larry J. Gerstein 2008 91This book is a continuation of volume 73 in which chapter 1~12 are. Graduate Algebra: Noncommutative View Louis Halle Rowen 2008 92 Finite Group Theory I. Martin Isaacs 2008 93 Topics in Differential Geometry Peter W. Michor 2008 94 Representations of Semisimple Lie Algebras in the BGG Category O James E. Humphreys 2008 95 Quantum Mechanics for Mathematicians Leon A. Takhtajan 2008 96 Lectures on Elliptic and Parabolic Equations in Sobolev Spaces N. V. Krylov 2008 97 Complex Made Simple David C. Ullrich 2008 98 Discrete Differential Geometry: Integrable Structure Alexander I. Bobenko, Yuri B. Suris 2008 99The second edition of this title is volume 157. Mathematical Methods in Quantum Mechanics: With Applications to Schrödinger Operators Gerald Teschl 2009 100 Algebra: A Graduate Course I. Martin Isaacs 1994 101 A Course in Approximation Theory Ward Cheney, Will Light 2000 102 Introduction to Fourier Analysis and Wavelets Mark A. Pinsky 2002 103 Configurations of Points and Lines Branko Grünbaum 2009 104 Algebra: Chapter 0 Paolo Aluffi 2009 105The second edition of this title is volume 181. A First Course in Sobolev Spaces Giovanni Leoni 2009 106 Embeddings in Manifolds Robert J. Daverman, Gerard A. Venema 2009 107 Manifolds and Differential Geometry Jeffrey M. Lee 2009 108 Mapping Degree Theory Enrique Outerelo, Jesús M. Ruiz 2009 109 Training Manual on Transport and Fluids John C. Neu 2010 110 Differential Algebraic Topology: From Stratifolds to Exotic Spheres Matthias Kreck 2010 111 Ricci Flow and the Sphere Theorem Simon Brendle 2010 112 Optimal Control of Partial Differential Equations: Theory, Methods and Applications Fredi Troltzsch 2010 113 Continuous Time Markov Processes: An Introduction Thomas M. Liggett 2010 114The third edition of this title is volume 165 and 180. Advanced Modern Algebra Joseph J. Rotman 2010, 2nd ed. 115The second edition of this title is volume 238. An Introductory Course on Mathematical Game Theory Julio González-Díaz, Ignacio García-Jurado, M. Gloria Fiestras-Janeiro 2010 116 Linear Functional Analysis Joan Cerdà 2010 117 An Epsilon of Room, I: Real Analysis: pages from year three of a mathematical blog Terence Tao 2010 118 Dynamical Systems and Population Persistence Hal L. Smith, Horst R. Thieme 2011 119 Mathematical Statistics: Asymptotic Minimax Theory Alexander Korostelev, Olga Korosteleva 2011 120 A Basic Course in Partial Differential Equations Qing Han 2011 121 A Course in Minimal Surfaces Tobias Holck Colding, William P. Minicozzi II 2011 122 Algebraic Groups and Differential Galois Theory Teresa Crespo, Zbigniew Hajto 2011 123 Lectures on Linear Partial Differential Equations Gregory Eskin 2011 124 Toric Varieties David A. Cox, John B. Little, Henry K. Schenck 2011 125 Riemann Surfaces by Way of Complex Analytic Geometry Dror Varolin 2011 126 An Introduction to Measure Theory Terence Tao 2011 127 Modern Classical Homotopy Theory Jeffrey Strom 2011 128 Tensors: Geometry and Applications J. M. Landsberg 2012 129 Classical Methods in Ordinary Differential Equations: With Applications to Boundary Value Problems Stuart P. Hastings, J. Bryce McLeod 2012 130 Gröbner Bases in Commutative Algebra Viviana Ene, Jürgen Herzog 2011 131 Lie Superalgebras and Enveloping Algebras Ian M. Musson 2012 132 Topics in Random Matrix Theory Terence Tao 2012 133 Hyperbolic Partial Differential Equations and Geometric Optics Jeffrey Rauch 2012 134 Analytic Number Theory: Exploring the Anatomy of Integers Jean-Marie De Koninck, Florian Luca 2012 135 Linear and Quasi-linear Evolution Equations in Hilbert Spaces Pascal Cherrier, Albert Milani 2012 136 Regularity of Free Boundaries in Obstacle-Type Problems Arshak Petrosyan, Henrik Shahgholian, Nina Uraltseva 2012 137 Ordinary Differential Equations: Qualitative Theory Luis Barreira, Clàudia Valls 2012 138 Semiclassical Analysis Maciej Zworski 2012 139 Knowing the Odds: An Introduction to Probability John B. Walsh 2012 140 Ordinary Differential Equations and Dynamical Systems Gerald Teschl 2012 141 A Course in Abstract Analysis John B. Conway 2012 142 Higher Order Fourier Analysis Terence Tao 2012 143 Lecture Notes on Functional Analysis: With Applications to Linear Partial Differential Equations Alberto Bressan 2013 144 Dualities and Representations of Lie Superalgebras Shun-Jen Cheng, Weiqiang Wang 2012 145 The K-book: An Introduction to Algebraic K-theory Charles A. Weibel 2013 146 Combinatorial Ga