Series
156 books in this series.

Introduction to Axiomatic Set Theory
G. Takeuti, W M Zaring

Measure and Category: A Survey of the Analogies between Topological and Measure Spaces
John C. Oxtoby

A Course in Homological Algebra
Peter J. Hilton, Urs Stammbach

Category Theory
Saunders Mac Lane

A Course in Arithmetic
Jean-Pierre Serre

Introduction to Lie Algebras and Representation Theory
James E. Humphreys

Functions of One Complex Variable
John B. Conway

Rings and Categories of Modules
Frank W. Anderson, Kent R. Fuller

Measure theory
Paul R. Halmos

A Hilbert Space Problem Book
Paul R. Halmos

Fibre Bundles
Dale Husemöller

Linear Algebraic Groups
James E. Humphreys

An Algebraic Introduction to Mathematical Logic
Donald W. Barnes, John M. Mack
Linear Algebra
Werner H. Greub

Real and Abstract Analysis
Edwin Hewitt, Karl Stromberg

Commutative Algebra I
Oscar Zariski, Pierre Samuel, I.S. Cohen

Commutative Algebra II
Oscar Zariski, Pierre Samuel

Differential Topology
Morris W. Hirsch

Principles of Random Walk
Frank Spitzer

Modular Functions and Dirichlet Series in Number Theory
Tom M. Apostol

Linear Representations of Finite Groups
Jean-Pierre Serre

General Relativity for Mathematicians
R.K. Sachs, H.-H. Wu

Algebraic Geometry
Robin Hartshorne

A Course in Mathematical Logic for Mathematicians
Yuri Manin

p-adic Numbers, p-adic Analysis, and Zeta-Functions
Neal Koblitz

Cyclotomic Fields
S Lang

Mathematical Methods of Classical Mechanics
Vladimir I. Arnold, K. Vogtmann, A. Weinstein

Graph Theory: An Introductory Course
Béla Bollobás

Introduction to Affine Group Schemes
William C. Waterhouse

Local Fields
Jean-Pierre Serre

Riemann Surfaces
Hershel M. Farkas

Classical Topology and Combinatorial Group Theory
John Stillwell
Algebra
Thomas W. Hungerford

Multiplicative Number Theory
Harold Davenport

A Course in the Theory of Groups
Derek J.S. Robinson

Differential Forms in Algebraic Topology
Raoul Bott, Loring W. Tu

A Classical Introduction to Modern Number Theory
Kenneth F. Ireland, Michael I. Rosen

Cohomology of Groups
Kenneth S. Brown

The Geometry of Discrete Groups
Alan F. Beardon

Modern Geometry ― Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields
B.A. Dubrovin, A.T. Fomenko, S.P. Novikov

Foundations of Differentiable Manifolds and Lie Groups
Frank W. Warner

Probability:, Vol. 2
Albert N. Shiryaev, S. Wilson

A Course in Functional Analysis
John B. Conway

Introduction to Elliptic Curves and Modular Forms
Neal Koblitz

Linear Topological Spaces
J.L. Kelley

Lie Groups, Lie Algebras, and Their Representations
V.S. Varadarajan

Modern Geometry― Methods and Applications: Part II: The Geometry and Topology of Manifolds
B.A. Dubrovin, A.T. Fomenko, S.P. Novikov

The Arithmetic of Elliptic Curves
Joseph H. Silverman

Applications of Lie Groups to Differential Equations
Peter J. Olver

Holomorphic Functions and Integral Representations in Several Complex Variables
R. Michael Range

Algebraic Number Theory
Serge Lang

A Course in Number Theory and Cryptography
Neal Koblitz, Ann Hibner Koblitz

Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces
Marcel Berger, Bernard Gostiaux, Silvio Levy

Measure and Integral: Volume 1
John L. Kelley, T.P. Srinivasan

Algebraic Groups and Class Fields
Jean-Pierre Serre

An Introduction to Algebraic Topology
Joseph J. Rotman

Numbers
Heinz-Dieter Ebbinghaus, Hans Hermes, Friedrich Hirzebruch, Max Koecher, Klaus Mainzer, Jürgen Neukirch, Alexander Prestel, Reinhold Remmert, H.L.S. Orde, K. Lamotke, John H. Ewing

Modern Geometry―Methods and Applications: Part III: Introduction to Homology Theory
B.A. Dubrovin, A.T. Fomenko, S.P. Novikov, Robert G. Burns

A Basic Course in Algebraic Topology
William S. Massey, John H. Ewing, Paul R. Halmos, F.W. Gerhing

Representation Theory
William Fulton, Joe Harris

A First Course in Noncommutative Rings
T.Y. Lam
Advanced Linear Algebra
Steven Roman

Title: Harmonic Function Theory (Graduate Texts in Mathem
sheldon-axler, Paul Bourdon, Ramey Wade

A Course in Computational Algebraic Number Theory
Henri Cohen

Topology and Geometry
Glen E. Bredon

Real and Functional Analysis
Serge Lang

Noncommutative Algebra
Benson Farb, R. Keith Dennis

Algebraic K-Theory and Its Applications
Jonathan Rosenberg

An Introduction to the Theory of Groups
Joseph J. Rotman

Foundations of Hyperbolic Manifolds
John G. Ratcliffe

Commutative algebra with a view toward algebraic geometry
David Eisenbud

Advanced Topics in the Arithmetic of Elliptic Curves
Joseph H. Silverman

Algebraic Topology: A First Course
William Fulton

Field Theory
Steven Roman

Differential and Riemannian Manifolds
Serge Lang

Groups and Representations
J.L. Alperin, Rowen B. Bell

Additive Number Theory The Classical Bases
Melvyn B. Nathanson

Differential Geometry
Richard W. Sharpe

Field and Galois Theory
Patrick Morandi

Combinatorial Convexity and Algebraic Geometry
Günter Ewald

Sheaf Theory
Glen E. Bredon

Riemannian Geometry
Peter Petersen

Graph Theory
Reinhard Diestel

An Introduction to Knot Theory
W.B. Raymond Lickorish

Riemannian Manifolds: An Introduction to Curvature
John M. Lee

Banach Algebra Techniques in Operator Theory
Ronald G. Douglas

Modern Graph Theory
Béla Bollobás, F.W. Gehring, Sheldon Axler

Using Algebraic Geometry
David A. Cox, John B. Little, Donal O'Shea

Fourier Analysis on Number Fields
Dinakar Ramakrishnan, Robert J. Valenza

Moduli of Curves
Joe Harris, Ian Morrison

Problems in Algebraic Number Theory
M. Ram Murty

Fundamentals of Differential Geometry
Serge Lang

Elementary Methods in Number Theory
Melvyn B. Nathanson

Basic Homological Algebra - A Best Practice Approach to Method Selections, Development and Evaluation
M. Scott Osborne

The geometry of schemes
David Eisenbud, Joe Harris

A Course in p-adic Analysis
Alain M. Robert

Theory of Bergman Spaces
Hakan Hedenmalm, Boris Korenblum, Kehe Zhu

An Introduction to Riemann-Finsler Geometry
David Dai-Wai Bao, Shiing-Shen Chern, Zhongmin Shen

Diophantine Geometry: An Introduction
Marc Hindry, Joseph H. Silverman

Introduction to Topological Manifolds
John M. Lee

Galois Theory
Jean-Pierre Escofier, Leila Schneps

Rational Homotopy Theory
YVES FELIX ET.AL, Stephen Halperin

Problems in Analytic Number Theory
M. Ram Murty

Analysis for Applied Mathematics
E. Ward Cheney
A Short Course on Spectral Theory
William Arveson

Number Theory in Function Fields
Michael I. Rosen

Partial Differential Equations
Jürgen Jost

Matrices: Theory and Applications
Denis Serre

Introduction to Smooth Manifolds
John M. Lee

Smooth Manifolds and Observables
Jet Nestruev

Metric Structures in Differential Geometry
Gerard Walschap

Lie Groups
BUMP DANIEL

A First Course in Modular Forms
Fred Diamond, Jerry Shurman

An Introduction to Markov Processes
Daniel W. Stroock

Combinatorics of Coxeter Groups
Anders Björner, Francesco Brenti

Topics in Banach Space Theory
Fernando Albiac, Nigel J. Kalton

Compact Lie Groups
Mark R. Sepanski

Bounded Analytic Functions
John B. Garnett

An Introduction to Operators on the Hardy-Hilbert Space
Ruben A. Martinez-Avendano, Peter Rosenthal

A Course in Enumeration
Martin Aigner

Number Theory: Volume I: Tools and Diophantine Equations
Henri Cohen

Number Theory: Volume II: Analytic and Modern Tools
Henri Cohen

Arithmetic of Dynamical Systems
J. Silverman

Topological Methods in Group Theory
Ross Geoghegan

Graph Theory
U.S.R. Murty

A Course in Commutative Banach Algebras
Eberhard Kaniuth

Braid Groups
Christian Kassel, Vladimir Turaev, O. Dodane

Classical Fourier Analysis
Loukas Grafakos

Modern Fourier Analysis
Loukas Grafakos

The Finite Simple Groups
Robert A. Wilson

Algebraic Function Fields and Codes
Henning Stichtenoth

Symmetry, Representations, and Invariants
Roe Goodman

A Course in Commutative Algebra
Gregor Kemper

Deformation Theory
Robin Hartshorne

Monomial Ideals
J. Herzog, Takayuki Hibi

Probability and Stochastics
Erhan Çınlar

Essentials of Integration Theory for Analysis
Daniel W. Stroock

Unbounded Self-adjoint Operators on Hilbert Space
Konrad Schmüdgen

Calculus Without Derivatives
Jean-Paul Penot

Quantum Theory for Mathematicians
Brian C. Hall

Geometric Analysis of the Bergman Kernel and Metric
Steven G. Krantz

Locally Convex Spaces
M. Scott Osborne

Fundamentals of Algebraic Topology
Weintraub

Operator Theoretic Aspects of Ergodic Theory
Tanja Eisner, Balint Farkas, Markus Haase, Rainer Nagel

Homotopical Topology
Anatoly Fomenko, Dmitry Fuchs

Brownian Motion, Martingales, and Stochastic Calculus
Jean-François Le Gall

The Moment Problem
Konrad Schmüdgen
Introduction to Real Analysis
Christopher Heil

Intersection Homology & Perverse Sheaves: with Applications to Singularities
Laurenţiu G. Maxim

Measure, Integration & Real Analysis
Sheldon Axler

Basic Representation Theory of Algebras
Ibrahim Assem, Flavio U Coelho

Spectral Theory: Basic Concepts and Applications
David Borthwick

Explorations in Complex Functions
Richard Beals, Roderick S. C. Wong

Quaternion Algebras
John Voight

Mathematical Logic, 2nd Edition
Heinz-Dieter Ebbinghaus, J. Flum, Wolfgang Thomas

Drinfeld Modules
Mihran Papikian