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 i
hardcover
an
e-book
formats.

List of books

*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., )
*15 ''Fundamentals of the Theory of Operator Algebras. Volume I: Elementary Theory'', Richard V. Kadison, John R. Ringrose (1997, )
*16 ''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, )
*2
''Notes on Seiberg-Witten Theory''
Liviu I. Nicolaescu (2000, )
*2

Javier Duoandikoetxea (2001, )
*30 ''Noncommutative Noetherian Rings'', J. C. McConnell, J. C. Robson (1987, )
2001 pbk reprint with corrections
*31 ''Option Pricing and Portfolio Optimization: Modern Methods of Financial Mathematics'', Ralf Korn, Elke Korn (2001, )
*32 ''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, )
*3
''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, )
*48 ''Introduction to the h-Principle'', Y. Eliashberg, N. Mishachev (2002, )
*49 ''Secondary Cohomology Operations'', John R. Harper (2002, )
*50 ''An Invitation to Operator Theory'', Y. A. Abramovich, C. D. Aliprantis (2002, )Two volume set is GSMSET (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, )
*61 ''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, )
*78 ''Linear Algebra in Action'', Harry Dym (2013, 2nd ed., )
*79 '' Modular Forms, a Computational Approach'', William A. Stein (2007, )
*80 ''Probability'', Davar Khoshnevisan (2007, )
*81 ''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, )
*91 ''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, )
*99 ''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, )
*105 ''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, )
*114 ''Advanced Modern Algebra'', Joseph J. Rotman (2010, 2nd ed., )The third edition of this title is volume 165 and 180.
*115 ''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 Game Theory'', Aaron N. Siegel (2013, )
*147 ''Matrix Theory'', Xingzhi Zhan (2013, )
*148 ''Introduction to Smooth Ergodic Theory'', Luis Barreira, Yakov Pesin (2013, )
*149 ''Mathematics of Probability'', Daniel W. Stroock (2013, )
*150 ''The Joys of Haar Measure'', Joe Diestel, Angela Spalsbury (2013, )
*151 '' Introduction to 3-Manifolds'', Jennifer Schultens (2014, )
*152 ''An Introduction to Extremal Kähler Metrics'', Gábor Székelyhidi (2014, )
*153 ''Hilbert's Fifth Problem and Related Topics'', Terence Tao (2014, )
*154 ''A Course in Complex Analysis and Riemann Surfaces'', Wilhelm Schlag (2014, )
*155 ''An Introduction to the Representation Theory of Groups'', Emmanuel Kowalski (2014, )
*156 ''Functional Analysis: An Elementary Introduction'', Markus Haase (2014, )
*157 ''Mathematical Methods in Quantum Mechanics: With Applications to Schrödinger Operators'', Gerald Teschl (2014, 2nd ed., )
*158 ''Dynamical Systems and Linear Algebra'', Fritz Colonius, Wolfgang Kliemann (2014, )
*159 ''The Role of Nonassociative Algebra in Projective Geometry'', John R. Faulkner (2014, )
*160 ''A Course in Analytic Number Theory'', Marius Overholt (2014, )
*161 ''Introduction to Tropical Geometry'', Diane Maclagan, Bernd Sturmfels (2015, )
*162 ''A Course on Large Deviations with an Introduction to Gibbs Measures'', Firas Rassoul-Agha, Timo Seppäläinen (2015, )
*163 ''Introduction to Analytic and Probabilistic Number Theory'', Gérald Tenenbaum (2015, 3rd ed., )
*164 ''Expansion in Finite Simple Groups of Lie Type'', Terence Tao (2015, )
*165 ''Advanced Modern Algebra, Part 1'', Joseph J. Rotman (2015, 3rd ed., )Two volume set is GSM/165/180 (2017, ).
*166 ''Problems in Real and Functional Analysis'', Alberto Torchinsky (2015, )
*167 ''Singular Perturbation in the Physical Sciences'', John C. Neu (2015, )
*168 ''Random Operators: Disorder Effects on Quantum Spectra and Dynamics'', Michael Aizenman, Simone Warzel (2015, )
*169 ''Partial Differential Equations: An Accessible Route through Theory and Applications'', András Vasy (2015, )
*170 ''Colored Operads'', Donald Yau (2016, )
*171 ''Nonlinear Elliptic Equations of the Second Order'', Qing Han (2016, )
*172 ''Combinatorics and Random Matrix Theory'', Jinho Baik, Percy Deift, Toufic Suidan (2016, )
*173 ''Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity'', Lan Wen (2016, )
*174 ''Quiver Representations and Quiver Varieties'', Alexander Kirillov Jr. (2016, )
*175 ''Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems'', Thomas A. Ivey, Joseph M. Landsberg (2016, 2nd ed., )
*176 ''Ordered Groups and Topology'', Adam Clay, Dale Rolfsen (2016, )
*177 ''Differential Galois Theory through Riemann-Hilbert Correspondence: An Elementary Introduction'', Jacques Sauloy (2016, )
*178 ''From Frenet to Cartan: The Method of Moving Frames'', Jeanne N. Clelland (2017, )
*179 ''Modular Forms: A Classical Approach'', Henri Cohen, Fredrik Strömberg (2017, )
*180 ''Advanced Modern Algebra, Part 2'', Joseph J. Rotman (2017, 3rd ed., )
*181 ''A First Course in Sobolev Spaces'', Giovanni Leoni (2017, 2nd ed., )
*182 ''Nonlinear PDEs: A Dynamical Systems Approach'', Guido Schneider, Hannes Uecker (2017, )
*183 ''Separable Algebras'', Timothy J. Ford (2017, )
*184 ''An Introduction to Quiver Representations'', Harm Derksen, Jerzy Weyman (2017, )
*185 ''Braid Foliations in Low-Dimensional Topology'', Douglas J. LaFountain, William W. Menasco (2017, )
*186 ''Rational Points on Varieties'', Bjorn Poonen (2017, )
*187 ''Introduction to Global Analysis: Minimal Surfaces in Riemannian Manifolds'', John Douglas Moore (2017, )
*188 ''Introduction to Algebraic Geometry'', Steven Dale Cutkosky (2018, )
*189 ''Characters of Solvable Groups'', I. Martin Isaacs (2018, )
*190 ''Lectures on Finite Fields'', Xiang-dong Hou (2018, )
*191 ''Functional Analysis'', Theo Bühler, Dietmar A. Salamon (2018, )
*192 ''Lectures on Navier-Stokes Equations'', Tai-Peng Tsai (2018, )
*193 ''A Tour of Representation Theory'', Martin Lorenz (2018, )
*194 ''Algebraic Statistics'', Seth Sullivant (2018, )
*195 ''Combinatorial Reciprocity Theorems:An Invitation to Enumerative Geometric Combinatorics'', Matthias Beck, Raman Sanyal (2018, )
*196 ''Convection-Diffusion Problems:An Introduction to Their Analysis and Numerical Solution'', Martin Stynes, David Stynes (2018, )
*197 ''A Course on Partial Differential Equations'', Walter Craig (2018, )
*198 ''Dynamics in One Non-Archimedean Variable'', Robert L Benedetto (2019, )
*199 ''Applied Stochastic Analysis'', Weinan E, Tiejun Li, Eric Vanden-Eijnden (2019, )
*200 ''Mathematical Theory of Scattering Resonances'', Semyon Dyatlov, Maciej Zworski (2019, )
*201 ''Geometric Relativity'', Dan A Lee (2019, )
*202 ''Introduction to Complex Analysis'', Michael E Taylor (2019, )
*203 ''The Distribution of Prime Numbers'', Dimitris Koukoulopoulos (2019, )
*204 ''Hochschild Cohomology for Algebras'', Sarah J. Witherspoon (2019, )
*205 ''Invitation to Partial Differential Equations'', Maxim Braverman, Robert McOwen, Peter Topalov, Mikhail Shubin (2020, )
* 206 '' Extrinsic Geometric Flows'', Ben Andrews, Bennett Chow, Christine Guenther, Mat Langford (2020, )
* 207 ''Organized Collapse: An Introduction to Discrete Morse Theory'', Dmitry N. Kozlov (2020, )
* 208 ''Geometry and Topology of Manifolds: Surfaces and Beyond'', Vicente Muñoz, Ángel González-Prieto, Juan Ángel Rojo (2020, )
* 209 ''Hyperbolic Knot Theory'', Jessica Purcell (2020, )
* 210 ''Combinatorics: The Art of Counting'', Bruce E. Sagan (2020, )
* 211 ''Invitation to Nonlinear Algebra'', , Bernd Sturmfels (2021, )
* 212 ''Differential Equations: A Dynamical Systems Approach to Theory and Practice'', Marcelo Viana, José M. Espinar (2021, )
* 213 ''Hamilton–Jacobi Equations: Theory and Applications'', Hung Vinh Tran (2021, )
* 214 ''Portfolio Theory and Arbitrage: A Course in Mathematical Finance'', Ioannis Karatzas, Constantinos Kardaras (2021, )
* 215 ''Shock Waves'', Tai-Ping Liu (2021, )
* 216 ''A Concise Introduction to Algebraic Varieties'', Brian Osserman (2021, )
* 217 ''Lectures on Poisson Geometry'', Marius Crainic, Rui Loja Fernandes, Ioan Mărcuț (2021, )
* 218 ''Lectures on Differential Topology'', Riccardo Benedetti (2021, )
* 219 ''Essentials of Tropical Combinatorics'', Michael Joswig (2021, )
* 220 ''Ultrafilters Throughout Mathematics'', Isaac Goldbring (2022, )
* 221 ''One-Dimensional Ergodic Schrödinger Operators: I. General Theory'', David Damanik, Jake Fillman (2022, )

See also

*Graduate Texts in Mathematics

Notes

External links

Graduate Studies in Mathematics on AMS Bookstore

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Series of mathematics books
Mathematics-related lists