154 books in series

Graduate Texts in Mathematics

Graduate Texts in Mathematics is a 152-book series with 154 primary works first released in 1899 with contributions by G. Takeuti, W M Zaring, John C. Oxtoby, Peter J. Hilton, Urs Stammbach, Saunders Mac Lane, Jean-Pierre Serre, James E. Humphreys, John B. Conway, Frank W. Anderson, Kent R. Fuller, Paul R. Halmos, Dale Husemöller, Donald W. Barnes, John M. Mack, Werner H. Greub, Edwin Hewitt, Karl Stromberg, John L. Kelley, Oscar Zariski, Pierre Samuel, Morris W. Hirsch, Frank Spitzer, Tom M. Apostol, R.K. Sachs, H.-H. Wu, Robin Hartshorne, Yuri Manin, Neal Koblitz, S Lang, Vladimir I. Arnold, Béla Bollobás, William C. Waterhouse, Hershel M. Farkas, John Stillwell, Thomas W. Hungerford, Harold Davenport, Derek J.S. Robinson, Raoul Bott, Loring W. Tu, Kenneth F. Ireland, Michael I. Rosen, Kenneth S. Brown, Alan F. Beardon, B.A. Dubrovin, A.T. Fomenko, S.P. Novikov, Frank W. Warner, Albert N. Shiryaev, J.L. Kelley, V.S. Varadarajan, Joseph H. Silverman, Peter J. Olver, R. Michael Range, Serge Lang, Ann Hibner Koblitz, Marcel Berger, Bernard Gostiaux, T.P. Srinivasan, Joseph J. Rotman, Heinz-Dieter Ebbinghaus, Hans Hermes, Friedrich Hirzebruch, Max Koecher, Klaus Mainzer, Jürgen Neukirch, Alexander Prestel, Reinhold Remmert, William S. Massey, William Fulton, Joe Harris, T.Y. Lam, Steven Roman, sheldon-axler, Glen E. Bredon, Benson Farb, R. Keith Dennis, Jonathan Rosenberg, John G. Ratcliffe, David Eisenbud, J.L. Alperin, Rowen B. Bell, Melvyn B. Nathanson, Richard W. Sharpe, Patrick Morandi, Günter Ewald, Peter Petersen, Reinhard Diestel, W.B. Raymond Lickorish, John M. Lee, Ronald G. Douglas, David A. Cox, John B. Little, Donal O'Shea, Dinakar Ramakrishnan, Robert J. Valenza, Ian Morrison, M. Ram Murty, M. Scott Osborne, Alain M. Robert, David Dai-Wai Bao, Shiing-Shen Chern, Zhongmin Shen, Marc Hindry, Ayn Rand, YVES FELIX ET.AL, Stephen Halperin, E. Ward Cheney, William Arveson, Jürgen Jost, Denis Serre, Jet Nestruev, Brian C. Hall, Gerard Walschap, Daniel Bump, Fred Diamond, Jerry Shurman, Daniel W. Stroock, Anders Björner, Francesco Brenti, Fernando Albiac, Nigel J. Kalton, Mark R. Sepanski, John B. Garnett, Ruben A. Martinez-Avendano, Peter Rosenthal, Martin Aigner, Henri Cohen, J. Silverman, Ross Geoghegan, U.S.R. Murty, Eberhard Kaniuth, Christian Kassel, Vladimir Turaev, Loukas Grafakos, Henning Stichtenoth, Roe Goodman, Gregor Kemper, J. Herzog, Takayuki Hibi, Erhan Çınlar, Konrad Schmüdgen, Jean-Paul Penot, Steven G. Krantz, Weintraub, Tanja Eisner, Balint Farkas, Markus Haase, Rainer Nagel, Anatoly Fomenko, Dmitry Fuchs, Jean-François Le Gall, Christopher Heil, Laurenţiu G. Maxim, Sheldon Axler, Ibrahim Assem, Flavio U Coelho, David Borthwick, Richard Beals, Roderick S. C. Wong, John Voight, J. Flum, Wolfgang Thomas, and Mihran Papikian.

Introduction to Axiomatic Set Theory
Measure and Category: A Survey of the Analogies between Topological and Measure Spaces
A Course in Homological Algebra
Category Theory
A Course in Arithmetic
Introduction to Lie Algebras and Representation Theory
Functions of One Complex Variable
Rings and Categories of Modules
Measure theory
A Hilbert Space Problem Book
Fibre Bundles
Linear Algebraic Groups
An Algebraic Introduction to Mathematical Logic
Cover 4

Linear Algebra

Real and Abstract Analysis
General Topology
Commutative Algebra I
Commutative Algebra II
Differential Topology
Principles of Random Walk
Modular Functions and Dirichlet Series in Number Theory
Linear Representations of Finite Groups
General Relativity for Mathematicians
Algebraic Geometry
A Course in Mathematical Logic for Mathematicians
p-adic Numbers, p-adic Analysis, and Zeta-Functions
Cyclotomic Fields
Mathematical Methods of Classical Mechanics
Graph Theory: An Introductory Course
Introduction to Affine Group Schemes
Local Fields
Riemann Surfaces
Classical Topology and Combinatorial Group Theory
Cover 5

Algebra

Multiplicative Number Theory
A Course in the Theory of Groups
Differential Forms in Algebraic Topology
A Classical Introduction to Modern Number Theory
Cohomology of Groups
The Geometry of Discrete Groups
Modern Geometry ― Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields
Foundations of Differentiable Manifolds and Lie Groups
Probability
Probability:, Vol. 2
A Course in Functional Analysis
Introduction to Elliptic Curves and Modular Forms
Linear Topological Spaces
Lie Groups, Lie Algebras, and Their Representations
Modern Geometry― Methods and Applications: Part II: The Geometry and Topology of Manifolds
The Arithmetic of Elliptic Curves
Applications of Lie Groups to Differential Equations
Holomorphic Functions and Integral Representations in Several Complex Variables
Algebraic Number Theory
A Course in Number Theory and Cryptography
Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces
Measure and Integral: Volume 1
Algebraic Groups and Class Fields
An Introduction to Algebraic Topology
Numbers
Modern Geometry―Methods and Applications: Part III: Introduction to Homology Theory
A Basic Course in Algebraic Topology
Representation Theory
A First Course in Noncommutative Rings
Cover 4

Advanced Linear Algebra

Title: Harmonic Function Theory (Graduate Texts in Mathem
Topology and Geometry
Real and Functional Analysis
Noncommutative Algebra
Algebraic K-Theory and Its Applications
An Introduction to the Theory of Groups
Foundations of Hyperbolic Manifolds
Commutative algebra with a view toward algebraic geometry
Advanced Topics in the Arithmetic of Elliptic Curves
Algebraic Topology: A First Course
Field Theory
Differential and Riemannian Manifolds
Groups and Representations
Additive Number Theory The Classical Bases
Differential Geometry
Field and Galois Theory
Combinatorial Convexity and Algebraic Geometry
Sheaf Theory
Riemannian Geometry
Graph Theory
An Introduction to Knot Theory
Riemannian Manifolds: An Introduction to Curvature
Banach Algebra Techniques in Operator Theory
Modern Graph Theory
Using Algebraic Geometry
Fourier Analysis on Number Fields
Moduli of Curves
Problems in Algebraic Number Theory
Fundamentals of Differential Geometry
Elementary Methods in Number Theory
Basic Homological Algebra - A Best Practice Approach to Method Selections, Development and Evaluation
The geometry of schemes
A Course in p-adic Analysis
An Introduction to Riemann-Finsler Geometry
Diophantine Geometry: An Introduction
Introduction to Topological Manifolds
Anthem
Rational Homotopy Theory
Problems in Analytic Number Theory
Analysis for Applied Mathematics
Cover 7

A Short Course on Spectral Theory

Number Theory in Function Fields
Partial Differential Equations
Matrices: Theory and Applications
Introduction to Smooth Manifolds
Smooth Manifolds and Observables
Lie Groups, Lie Algebras, and Representations: An Elementary Introduction
Metric Structures in Differential Geometry
Lie Groups
Lie Groups
A First Course in Modular Forms
An Introduction to Markov Processes
Combinatorics of Coxeter Groups
Topics in Banach Space Theory
Compact Lie Groups
Bounded Analytic Functions
An Introduction to Operators on the Hardy-Hilbert Space
A Course in Enumeration
Number Theory: Volume I: Tools and Diophantine Equations
Number Theory: Volume II: Analytic and Modern Tools
Arithmetic of Dynamical Systems
Topological Methods in Group Theory
Graph Theory
A Course in Commutative Banach Algebras
Braid Groups
Classical Fourier Analysis
Modern Fourier Analysis
Algebraic Function Fields and Codes
Symmetry, Representations, and Invariants
A Course in Commutative Algebra
Monomial Ideals
Probability and Stochastics
Essentials of Integration Theory for Analysis
Unbounded Self-adjoint Operators on Hilbert Space
Calculus Without Derivatives
Quantum Theory for Mathematicians
Geometric Analysis of the Bergman Kernel and Metric
Locally Convex Spaces
Fundamentals of Algebraic Topology
Operator Theoretic Aspects of Ergodic Theory
Cover 3

Homotopical Topology

Brownian Motion, Martingales, and Stochastic Calculus
The Moment Problem
Cover 4

Introduction to Real Analysis

Intersection Homology & Perverse Sheaves: with Applications to Singularities
Measure, Integration & Real Analysis
Basic Representation Theory of Algebras
Spectral Theory: Basic Concepts and Applications
Explorations in Complex Functions
Quaternion Algebras
Mathematical Logic, 2nd Edition
Drinfeld Modules