Abstract Algebra
  • Abstract Algebra

     by 

    Israel Nathan Herstein

  • Algebra

     by 

    Serge Lang

  • Galois Theory

     by 

    Ian Stewart

  • Abstract Algebra

     by 

    David Steven Dummit, Richard M. Foote

  • Introduction to Modern Algebra

     by 

    Marvin Marcus

  • Abstract Algebra

     by 

    Charles C. Pinter

Algebraic Geometry
  • Basic Algebraic Geometry

     by 

    Igor Shafarevich

  • Algebraic Geometry

     by 

    Robin Hartshorne

Algebraic Number Theory
  • Algebraic Number Theory

     by 

    J. W. S. Cassels, A. Frohlich

Algebraic Topology
  • Algebraic Topology

     by 

    Allen Hatcher

  • Algebraic Topology

     by 

    Edwin Spanier

  • Differential Forms in Algebraic Topology

     by 

    Loring W. Tu, Raoul Bott

  • Basic Concepts of Algebraic Topology

     by 

    Fred H. Croom

  • Algebraic Topology: An Intuitive Approach

     by 

    Hajime Sato

  • Topology and Geometry

     by 

    Glen Bredon

  • Algebraic Topology

     by 

    Tammo tom Dieck

  • Characteristic Classes

     by 

    John Milnor, James Stasheff

  • Fibre Bundles

     by 

    Dale Husemöller

  • Quantum Invariants of Knots and 3-Manifolds

     by 

    Vladimir G. Turaev

Analytic Number Theory
  • Introduction to Analytic Number Theory

     by 

    Tom M. Apostol

Category Theory
  • Category Theory

     by 

    Steve Awodey

  • Category Theory

     by 

    Tom Leinster

Class Field Theory
  • Class Field Theory

     by 

    J. S. Milne

Commutative Algebra
  • Commutative Algebra

     by 

    David Eisenbud

  • Commutative Algebra

     by 

    Atiyah, Macdonald

Complex Analysis
  • Complex Variables and Applications

     by 

    James Ward Brown, Ruel Vance Churchill

  • Basic Complex Analysis

     by 

    Jerrold E. Marsden, Michael J. Hoffman

  • Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable

     by 

    Lars Ahlfors

  • Complex Variables

     by 

    Polya

  • Complex Variables

     by 

    Saff and Snider

Differential Equations
  • Differential Equations and Their Applications

     by 

    Martin Braun

  • Elementary Differential Equations and Boundary Value Problems

     by 

    Richard C. DiPrima, William E. Boyce

  • Differential Dynamical Systems

     by 

    J.D. Meiss

  • Applied Partial Differential Equations

     by 

    Peter Markowich

  • Ordinary Differential Equations

     by 

    Richard K. Miller, Anthony N. Michel

  • Differential Equations and Dynamical Systems

     by 

    Lawrence Perko

  • Stability Theory of Differential Equations

     by 

    Richard E. Bellman

  • Ordinary Differential Equations and Dynamical Systems

     by 

    Gerald Teschl

  • Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

     by 

    John Guckenheimer, Philip Holmes

  • Differential Equations, Dynamical Systems, and an Introduction to Chaos

     by 

    Morris Hirsch, Robert L. Devaney, Stephen Smale

  • Nonlinear Dynamics and Chaos

     by 

    Steven Strogatz

Differential Geometry
  • A Comprehensive Introduction to Differential Geometry

     by 

    Michael Spivak

  • Riemannian Geometry

     by 

    Manfredo Perdigao do Carmo

  • Introduction to Topological Manifolds

     by 

    John M. Lee

  • Introduction to Smooth Manifolds

     by 

    John M. Lee

  • Introduction to Riemannian Manifolds

     by 

    John M. Lee

  • Differential Manifolds

     by 

    Antoni A. Kosinski

  • Classical Differential Geometry

     by 

    Peter Petersen

  • From Calculus to Cohomology

     by 

    Ib Madsen, Jxrgen Tornehave

  • Foundations of Differential Geometry

     by 

    Katsumi Nomizu, Shoshichi Kobayashi

  • Differential Geometry

     by 

    Erwin Kreyszig

  • Lectures on Classical Differential Geometry

     by 

    Dirk Jan Struik

Differential Topology
  • An Introduction to Smooth Manifolds

     by 

    John Lee

  • Differential Topology

     by 

    Alan Pollack, Victor Guillemin

  • Introduction to Differential Topology

     by 

    Klaus Jänich, T. Bröcker

  • Differential Topology

     by 

    Morris Hirsch

  • Topology from the Differentiable Viewpoint

     by 

    John Milnor

  • A Geometric Approach to Differential Forms

     by 

    David Bachman

Functional Analysis
  • Functional Analysis

     by 

    Walter Rudin

  • Functional Analysis

     by 

    Peter D. Lax

  • Functional Analysis

     by 

    Frigyes Riesz, Béla Szőkefalvi-Nagy

  • Functional Analysis

     by 

    Yuli Eidelman, Vitali Milman, Antonis Ts Bellow

  • Functional Analysis

     by 

    Michael Reed, Barry Simon

  • Functional Analysis

     by 

    Kosaku Yosida

  • Functional Analysis

     by 

    George Bachman, Lawrence Narici

  • Functional Analysis

     by 

    Kreyszig

General Topology
  • A First Course in Topology

     by 

    James Munkres

  • Topology

     by 

    Klaus Jänich

  • A Taste of Topology

     by 

    Volker Runde

  • Topology

     by 

    Mendelson

Graph Theory
  • Graph Theory

     by 

    Adrian Bondy, U.S.R. Murty

  • Graph Theory

     by 

    Reinhard Diestel

  • Graph Theory

     by 

    Frank Harary

  • Graph Theory

     by 

    Gould

Lie Algebra
  • Lie Algebras in Particle Physics

     by 

    Howard Georgi

  • Representation Theory: A First Course

     by 

    William Futton, Joe Harris

  • An Introduction to Lie Groups and Lie Algebras

     by 

    Alexander Kirillov

  • Differential Geometry - Lie Groups and Symmetric Spaces

     by 

    Sigurður Helgason

Linear Algebra
  • Introduction to Linear Algebra

     by 

    Gilbert Strang

  • Linear Algebra

     by 

    Serge Lang

  • Linear Algebra Done Right

     by 

    Sheldon Axler

  • Linear Algebra

     by 

    Kenneth Hoffman, Ray Kunze

  • Linear Algebra

     by 

    Mirsky

  • Linear Algebra

     by 

    Larry Smith

  • Linear Algebra

     by 

    Cheney and Kincaid

Logic and Set Theory
  • Elements of Set Theory

     by 

    Herbert B. Enderton

  • A Mathematical Introduction to Logic

     by 

    Herbert B. Enderton

  • A Course in Mathematical Logic for Mathematicians

     by 

    Koblitz

  • Set Theory

     by 

    Felix Hausdorff

  • Naive Set Theory

     by 

    Paul Halmos

Mathematical Biology
  • Mathematical Biology

     by 

    James D. Murray

Measure Theory
  • A Radical Approach to Lebesgue's Theory of Integration

     by 

    David M. Bressoud

  • Introduction to Measure Theory

     by 

    Terence Tao

Number Theory
  • An Introduction to the Theory of Numbers

     by 

    G.H. Hardy, E.M. Wright

  • A Course in Arithmetic

     by 

    Jean-Pierre Serre

  • Advanced Number Theory

     by 

    Harvey Cohn

  • A Classical Introduction to Modern Number Theory

     by 

    Kenneth F. Ireland, Michael I. Rosen

  • An Introduction to the Theory of Numbers

     by 

    Ivan Niven, Herbert S. Zuckerman, Hugh L. Montgomery

  • Elementary Number Theory

     by 

    David M. Burton

  • Number Theory

     by 

    Long

Optimization
  • Combinatorial Optimization

     by 

    Bernhardt Korte, Jens Vygen

  • Introduction to Operations Research

     by 

    Frederick S. Hillier, Gerald J. Lieberman

  • Introduction to the Theory of Computation

     by 

    Michael Sipser

  • Introduction to Algorithms

     by 

    Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, Clifford Stein

Probability Theory
  • Introduction to Probability

     by 

    Joseph K. Blitzstein, Jessica Hwang

  • An Introduction to Probability Theory

     by 

    P. A. P. Moran

  • Probability

     by 

    Woodward

Real Analysis
  • Principles of Mathematical Analysis

     by 

    Walter Rudin

  • Real and Complex Analysis

     by 

    Walter Rudin

  • Real Analysis

     by 

    H.L. Royden, P.M. Fitzpatrick

  • Real Analysis

     by 

    N. L. Carothers

  • Real Analysis

     by 

    John M. Howie

  • Real Analysis

     by 

    Miklós Laczkovich, Vera T. Sós

  • Real Analysis

     by 

    Schramm

Representation Theory
  • Representation Theory: A First Course

     by 

    Fulton and Harris

  • Introduction to Representation Theory

     by 

    Pavel Etingof

Statistics
  • Statistics

     by 

    Weatherburn

  • Elementary Statistics

     by 

    Weiss

  • Mathematical Statistics with Applications

     by 

Stochastic Processes
  • Introduction to Stochastic Processes

     by 

    Gregory F. Lawler

  • Probability and Stochastic Processes

     by 

    Roy D. Yates

  • Essentials of Stochastic Processes

     by 

    Richard Durrett

Vector Calculus
  • Vector Analysis

     by 

    Coffin

  • Vector Methods

     by 

    Phillips

  • Vector Analysis

     by 

    Phillips

  • Vector Calculus

     by 

    Marsden and Tromba

Miscellaneous
  • Fourier Analysis

     by 

    T. W. Körner

  • Transformation Geometry: An Introduction to Symmetry

     by 

    George Edward Martin

  • A Philosophy of Mathematics

     by 

    Louis Kattsoff

  • How Mathematicians Think

     by 

    William Byers

  • The Language of Mathematics

     by 

  • All The Math You Missed

     by 

  • Foundations of Higher Mathematics

     by 

  • How To Read And Do Proofs

     by