Graduate Studies in Mathematics
Graduate Studies in Mathematics is a series of graduate-level textbooks in mathematics published by the American Mathematical Society. These books elaborate on several theories from notable personas, such as Martin Schechter and Terence Tao, in the mathematical industry. The books in this series are published only in hardcover.
List of books
- 1 The General Topology of Dynamical Systems, Ethan Akin
- 2 Combinatorial Rigidity, Jack Graver, Brigitte Servatius, Herman Servatius
- 3 An Introduction to Gröbner Bases, William W. Adams, Philippe Loustaunau
- 4 The Integrals of Lebesgue, Denjoy, Perron, and Henstock, Russell A. Gordon
- 5 Algebraic Curves and Riemann Surfaces, Rick Miranda
- 6 Lectures on Quantum Groups, Jens Carsten Jantzen
- 7 Algebraic Number Fields, Gerald J. Janusz
- 8 Discovering Modern Set Theory. I: The Basics, Winfried Just, Martin Weese
- 9 An Invitation to Arithmetic Geometry, Dino Lorenzini
- 10 Representations of Finite and Compact Groups, Barry Simon
- 11 Enveloping Algebras, Jacques Dixmier
- 12 Lectures on Elliptic and Parabolic Equations in Hölder Spaces, N. V. Krylov
- 13 The Ergodic Theory of Discrete Sample Paths, Paul C. Shields
- 14 Analysis, Elliott H. Lieb, Michael Loss
- 15 Fundamentals of the Theory of Operator Algebras. Volume I: Elementary Theory, Richard V. Kadison, John R. Ringrose
- 16 Fundamentals of the Theory of Operator Algebras. Volume II: Advanced Theory, Richard V. Kadison, John R. Ringrose
- 17 Topics in Classical Automorphic Forms, Henryk Iwaniec
- 18 Discovering Modern Set Theory. II: Set-Theoretic Tools for Every Mathematician, Winfried Just, Martin Weese
- 19 Partial Differential Equations, Lawrence C. Evans
- 20 4-Manifolds and Kirby Calculus, Robert E. Gompf, András I. Stipsicz
- 21 A Course in Operator Theory, John B. Conway
- 22 Growth of Algebras and Gelfand-Kirillov Dimension, Günter R. Krause, Thomas H. Lenagan
- 23 Foliations I, Alberto Candel, Lawrence Conlon
- 24 Number Theory: Algebraic Numbers and Functions, Helmut Koch
- 25 Dirac Operators in Riemannian Geometry, Thomas Friedrich
- 26 An Introduction to Symplectic Geometry, Rolf Berndt
- 27 A Course in Differential Geometry, Thierry Aubin
- 28 Notes on Seiberg-Witten Theory, Liviu I. Nicolaescu
- 29 Fourier Analysis, Javier Duoandikoetxea
- 30 Noncommutative Noetherian Rings, J. C. McConnell, J. C. Robson
- 31 Option Pricing and Portfolio Optimization: Modern Methods of Financial Mathematics, Ralf Korn, Elke Korn
- 32 A Modern Theory of Integration, Robert G. Bartle
- 33 A Course in Metric Geometry, Dmitri Burago, Yuri Burago, Sergei Ivanov
- 34 Differential Geometry, Lie Groups, and Symmetric Spaces, Sigurdur Helgason
- 35 Lecture Notes in Algebraic Topology, James F. Davis, Paul Kirk
- 36 Principles of Functional Analysis, Martin Schechter
- 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
- 38 Stochastic Analysis on Manifolds, Elton P. Hsu
- 39 Classical Groups and Geometric Algebra, Larry C. Grove
- 40 Function Theory of One Complex Variable, Robert E. Greene, Steven G. Krantz
- 41 Introduction to the Theory of Differential Inclusions, Georgi V. Smirnov
- 42 Introduction to Quantum Groups and Crystal Bases, Jin Hong, Seok-Jin Kang
- 43 Introduction to the Theory of Random Processes, N. V. Krylov
- 44 Pick Interpolation and Hilbert Function Spaces, Jim Agler, John E. McCarthy
- 45 An Introduction to Measure and Integration, Inder K. Rana
- 46 Several Complex Variables with Connections to Algebraic Geometry and Lie Groups, Joseph L. Taylor
- 47 Classical and Quantum Computation, A. Yu. Kitaev, A. H. Shen, M. N. Vyalyi
- 48 Introduction to the h-Principle, Y. Eliashberg, N. Mishachev
- 49 Secondary Cohomology Operations, John R. Harper
- 50 An Invitation to Operator Theory, Y. A. Abramovich, C. D. Aliprantis
- 51 Problems in Operator Theory, Y. A. Abramovich, C. D. Aliprantis
- 52 Global Analysis: Differential Forms in Analysis, Geometry and Physics, Ilka Agricola, Thomas Friedrich
- 53 Spectral Methods of Automorphic Forms, Henryk Iwaniec
- 54 A Course in Convexity, Alexander Barvinok
- 55 A Scrapbook of Complex Curve Theory, C. Herbert Clemens
- 56 A Course in Algebra, E. B. Vinberg
- 57 Concise Numerical Mathematics, Robert Plato
- 58 Topics in Optimal Transportation, Cédric Villani
- 59 Representation Theory of Finite Groups: Algebra and Arithmetic, Steven H. Weintraub
- 60 Foliations II, Alberto Candel, Lawrence Conlon
- 61 Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems, Thomas A. Ivey, J. M. Landsberg
- 62 A Companion to Analysis: A Second First and First Second Course in Analysis, T. W. Körner
- 63 Resolution of Singularities, Steven Dale Cutkosky
- 64 Lectures on the Orbit Method, A. A. Kirillov
- 65 Global Calculus, S. Ramanan
- 66 Functional Analysis: An Introduction, Yuli Eidelman, Vitali Milman, Antonis Tsolomitis
- 67 Introduction to Quadratic Forms over Fields, T.Y. Lam
- 68 A Geometric Approach to Free Boundary Problems, Luis Caffarelli, Sandro Salsa
- 69 Curves and Surfaces, Sebastián Montiel, Antonio Ros
- 70 Probability Theory in Finance: A Mathematical Guide to the Black-Scholes Formula, Seán Dineen
- 71 Modern Geometric Structures and Fields, S. P. Novikov, I. A. Taimanov
- 72 Introduction to the Mathematics of Finance, Ruth J. Williams
- 73 Graduate Algebra: Commutative View, Louis Halle Rowen
- 74 Elements of Combinatorial and Differential Topology, V. V. Prasolov
- 75 Applied Asymptotic Analysis, Peter D. Miller
- 76 Measure Theory and Integration, Michael E. Taylor
- 77 Hamilton's Ricci Flow, Bennett Chow, Peng Lu, Lei Ni
- 78 Linear Algebra in Action, Harry Dym
- 79 Modular Forms, a Computational Approach, William A. Stein
- 80 Probability, Davar Khoshnevisan
- 81 Elements of Homology Theory, V. V. Prasolov
- 82 Pseudo-differential Operators and the Nash-Moser Theorem, Serge Alinhac, Patrick Gérard
- 83 Functions of Several Complex Variables and Their Singularities, Wolfgang Ebeling
- 84 Cones and Duality, Charalambos D. Aliprantis, Rabee Tourky
- 85 Recurrence and Topology, John M. Alongi, Gail S. Nelson
- 86 Lectures on Analytic Differential Equations, Yulij Ilyashenko, Sergei Yakovenko
- 87 Twenty-Four Hours of Local Cohomology, Srikanth B. Iyengar, Graham J. Leuschke, Anton Leykin, Claudia Miller, Ezra Miller, Anurag K. Singh, Uli Walther
- 88 C∗-Algebras and Finite-Dimensional Approximations, Nathanial P. Brown, Narutaka Ozawa
- 89 A Course on the Web Graph, Anthony Bonato
- 90 Basic Quadratic Forms, Larry J. Gerstein
- 91 Graduate Algebra: Noncommutative View, Louis Halle Rowen
- 92 Finite Group Theory, I. Martin Isaacs
- 93 Topics in Differential Geometry, Peter W. Michor
- 94 Representations of Semisimple Lie Algebras in the BGG Category O, James E. Humphreys
- 95 Quantum Mechanics for Mathematicians, Leon A. Takhtajan
- 96 Lectures on Elliptic and Parabolic Equations in Sobolev Spaces, N. V. Krylov
- 97 Complex Made Simple, David C. Ullrich
- 98 Discrete Differential Geometry: Integrable Structure, Alexander I. Bobenko, Yuri B. Suris
- 99 Mathematical Methods in Quantum Mechanics: With Applications to Schrödinger Operators, Gerald Teschl
- 100 Algebra: A Graduate Course, I. Martin Isaacs
- 101 A Course in Approximation Theory, Ward Cheney, Will Light
- 102 Introduction to Fourier Analysis and Wavelets, Mark A. Pinsky
- 103 Configurations of Points and Lines, Branko Grünbaum
- 104 Algebra: Chapter 0, Paolo Aluffi
- 105 A First Course in Sobolev Spaces, Giovanni Leoni
- 106 Embeddings in Manifolds, Robert J. Daverman, Gerard A. Venema
- 107 Manifolds and Differential Geometry, Jeffrey M. Lee
- 108 Mapping Degree Theory, Enrique Outerelo, Jesús M. Ruiz
- 109 Training Manual on Transport and Fluids, John C. Neu
- 110 Differential Algebraic Topology: From Stratifolds to Exotic Spheres, Matthias Kreck
- 111 Ricci Flow and the Sphere Theorem, Simon Brendle
- 112 Optimal Control of Partial Differential Equations: Theory, Methods and Applications, Fredi Troltzsch
- 113 Continuous Time Markov Processes: An Introduction, Thomas M. Liggett
- 114 Advanced Modern Algebra, Joseph J. Rotman
- 115 An Introductory Course on Mathematical Game Theory, Julio González-Díaz, Ignacio García-Jurado, M. Gloria Fiestras-Janeiro
- 116 Linear Functional Analysis, Joan Cerdà
- 117 An Epsilon of Room, I: Real Analysis: pages from year three of a mathematical blog, Terence Tao
- 118 Dynamical Systems and Population Persistence, Hal L. Smith, Horst R. Thieme
- 119 Mathematical Statistics: Asymptotic Minimax Theory, Alexander Korostelev, Olga Korosteleva
- 120 A Basic Course in Partial Differential Equations, Qing Han
- 121 A Course in Minimal Surfaces, Tobias Holck Colding, William P. Minicozzi II
- 122 Algebraic Groups and Differential Galois Theory, Teresa Crespo, Zbigniew Hajto
- 123 Lectures on Linear Partial Differential Equations, Gregory Eskin
- 124 Toric Varieties, David A. Cox, John B. Little, Henry K. Schenck
- 125 Riemann Surfaces by Way of Complex Analytic Geometry, Dror Varolin
- 126 An Introduction to Measure Theory, Terence Tao
- 127 Modern Classical Homotopy Theory, Jeffrey Strom
- 128 Tensors: Geometry and Applications, J. M. Landsberg
- 129 Classical Methods in Ordinary Differential Equations: With Applications to Boundary Value Problems, Stuart P. Hastings, J. Bryce McLeod
- 130 Gröbner Bases in Commutative Algebra, Viviana Ene, Jürgen Herzog
- 131 Lie Superalgebras and Enveloping Algebras, Ian M. Musson
- 132 Topics in Random Matrix Theory, Terence Tao
- 133 Hyperbolic Partial Differential Equations and Geometric Optics, Jeffrey Rauch
- 134 Analytic Number Theory: Exploring the Anatomy of Integers, Jean-Marie De Koninck, Florian Luca
- 135 Linear and Quasi-linear Evolution Equations in Hilbert Spaces, Pascal Cherrier, Albert Milani
- 136 Regularity of Free Boundaries in Obstacle-Type Problems, Arshak Petrosyan, Henrik Shahgholian, Nina Uraltseva
- 137 Ordinary Differential Equations: Qualitative Theory, Luis Barreira, Clàudia Valls
- 138 Semiclassical Analysis, Maciej Zworski
- 139 Knowing the Odds: An Introduction to Probability, John B. Walsh
- 140 Ordinary Differential Equations and Dynamical Systems, Gerald Teschl
- 141 A Course in Abstract Analysis, John B. Conway
- 142 Higher Order Fourier Analysis, Terence Tao
- 143 Lecture Notes on Functional Analysis: With Applications to Linear Partial Differential Equations, Alberto Bressan
- 144 Dualities and Representations of Lie Superalgebras, Shun-Jen Cheng, Weiqiang Wang
- 145 The K-book: An Introduction to Algebraic K-theory, Charles A. Weibel
- 146 Combinatorial Game Theory, Aaron N. Siegel
- 147 Matrix Theory, Xingzhi Zhan
- 148 Introduction to Smooth Ergodic Theory, Luis Barreira, Yakov Pesin
- 149 Mathematics of Probability, Daniel W. Stroock
- 150 The Joys of Haar Measure, Joe Diestel, Angela Spalsbury
- 151 Introduction to 3-Manifolds, Jennifer Schultens
- 152 An Introduction to Extremal Kähler Metrics, Gábor Székelyhidi
- 153 Hilbert's Fifth Problem and Related Topics, Terence Tao
- 154 A Course in Complex Analysis and Riemann Surfaces, Wilhelm Schlag
- 155 An Introduction to the Representation Theory of Groups, Emmanuel Kowalski
- 156 Functional Analysis: An Elementary Introduction, Markus Haase
- 157 Mathematical Methods in Quantum Mechanics: With Applications to Schrödinger Operators, Gerald Teschl
- 158 Dynamical Systems and Linear Algebra, Fritz Colonius, Wolfgang Kliemann
- 159 The Role of Nonassociative Algebra in Projective Geometry, John R. Faulkner
- 160 A Course in Analytic Number Theory, Marius Overholt
- 161 Introduction to Tropical Geometry, Diane Maclagan, Bernd Sturmfels
- 162 A Course on Large Deviations with an Introduction to Gibbs Measures, Firas Rassoul-Agha, Timo Seppäläinen
- 163 Introduction to Analytic and Probabilistic Number Theory, Gérald Tenenbaum
- 164 Expansion in Finite Simple Groups of Lie Type, Terence Tao
- 165 Advanced Modern Algebra, Part 1, Joseph J. Rotman
- 166 Problems in Real and Functional Analysis, Alberto Torchinsky
- 167 Singular Perturbation in the Physical Sciences, John C. Neu
- 168 Random Operators: Disorder Effects on Quantum Spectra and Dynamics, Michael Aizenman, Simone Warzel
- 169 Partial Differential Equations: An Accessible Route through Theory and Applications, András Vasy
- 170 Colored Operads, Donald Yau
- 171 Nonlinear Elliptic Equations of the Second Order, Qing Han
- 172 Combinatorics and Random Matrix Theory, Jinho Baik, Percy Deift, Toufic Suidan
- 173 Differentiable Dynamical Systems: An Introduction to Structural Stability and Hyperbolicity, Lan Wen
- 174 Quiver Representations and Quiver Varieties, Alexander Kirillov Jr.
- 175 Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems, Thomas A. Ivey, Joseph M. Landsberg
- 176 Ordered Groups and Topology, Adam Clay, Dale Rolfsen
- 177 Differential Galois Theory through Riemann-Hilbert Correspondence: An Elementary Introduction, Jacques Sauloy
- 178 From Frenet to Cartan: The Method of Moving Frames, Jeanne N. Clelland
- 179 Modular Forms: A Classical Approach, Henri Cohen, Fredrik Strömberg
- 180 Advanced Modern Algebra, Part 2, Joseph J. Rotman
- 181 A First Course in Sobolev Spaces, Giovanni Leoni
- 182 Nonlinear PDEs: A Dynamical Systems Approach, Guido Schneider, Hannes Uecker
- 183 Separable Algebras, Timothy J. Ford
- 184 An Introduction to Quiver Representations, Harm Derksen, Jerzy Weyman
- 185 Braid Foliations in Low-Dimensional Topology, Douglas J. LaFountain, William W. Menasco
- 186 Rational Points on Varieties, Bjorn Poonen
- 187 Introduction to Global Analysis: Minimal Surfaces in Riemannian Manifolds, John Douglas Moore
- 188 Introduction to Algebraic Geometry, Steven Dale Cutkosky
- 189 Characters of Solvable Groups, I. Martin Isaacs
- 190 Lectures on Finite Fields, Xiang-dong Hou
- 191 Functional Analysis, Theo Bühler, Dietmar A. Salamon
- 192 Lectures on Navier-Stokes Equations, Tai-Peng Tsai
- 193 A Tour of Representation Theory, Martin Lorenz
- 194 Algebraic Statistics, Seth Sullivant
- 195 Combinatorial Reciprocity Theorems:An Invitation to Enumerative Geometric Combinatorics, Matthias Beck, Raman Sanyal
- 196 Convection-Diffusion Problems:An Introduction to Their Analysis and Numerical Solution, Martin Stynes, David Stynes
- 197 A Course on Partial Differential Equations, Walter Craig
- 198 Dynamics in One Non-Archimedean Variable, Robert L Benedetto
- 199 Applied Stochastic Analysis, Weinan E, Tiejun Li, Eric Vanden-Eijnden
- 200 Mathematical Theory of Scattering Resonances, Semyon Dyatlov, Maciej Zworski
- 201 Geometric Relativity, Dan A Lee
- 202 Introduction to Complex Analysis, Michael E Taylor
- 203 The Distribution of Prime Numbers, Dimitris Koukoulopoulos
- 204 Hochschild Cohomology for Algebras, Sarah J. Witherspoon
- 205 Invitation to Partial Differential Equations, Maxim Braverman, Robert McOwen, Peter Topalov, Mikhail Shubin
- 206 Extrinsic Geometric Flows, Ben Andrews, Bennett Chow, Christine Guenther, Mat Langford
- 207 Organized Collapse: An Introduction to Discrete Morse Theory, Dmitry N. Kozlov