American Mathematical Society

The American Mathematical Society is dedicated to advancing research and connecting the diverse global mathematical community through our publications, meetings and conferences, MathSciNet, professional services, advocacy, and awareness programs.

Key subject areas

Algebra

Discrete Mathematics

Geometry

Number Theory

Probability and Statistics

Topology

Browse all American Mathematical Society titles

Catalogues

AMS Spring/ Summer Catalogue 2025

Featured Books

Playing with Shape and Form

Playing with Shape and Form

Partial Differential Equations

Partial Differential Equations

Introduction to Lie Algebras

Introduction to Lie Algebras

Sturm-Liouville Operators, Their Spectral Theory, and Some Applications

Sturm-Liouville Operators, Their Spectral Theory, and Some Applications

An Invitation to Fractal Geometry

An Invitation to Fractal Geometry

Lattice Models and Conformal Field Theory

Lattice Models and Conformal Field Theory

Lectures on Differential Geometry

Lectures on Differential Geometry

Quantum Computation and Quantum Information

Quantum Computation and Quantum Information

The Practice of Algebraic Curves

The Practice of Algebraic Curves

Linear Algebra: Gateway to Mathematics

Linear Algebra: Gateway to Mathematics

Math from Three to Seven

Math from Three to Seven

Euclidean Geometry in Mathematical Olympiads

Euclidean Geometry in Mathematical Olympiads

Calculus Deconstructed

Calculus Deconstructed

New Releases

Twisted Patterson-Sullivan Measures and Applications to Amenability and Coverings

Twisted Patterson-Sullivan Measures and Applications to Amenability and Coverings

Primes As Sums of Fibonacci Numbers

Primes As Sums of Fibonacci Numbers

The Univalence Principle

The Univalence Principle

Equivariant Infinite Loop Space Theory

Equivariant Infinite Loop Space Theory

The Bigraded Rumin Complex Via Differential Forms

The Bigraded Rumin Complex Via Differential Forms

Foundations of Matroids, Part 1

Foundations of Matroids, Part 1

Spatial Populations with Seed-Bank: Renormalisation on the Hierarchical Group

Spatial Populations with Seed-Bank: Renormalisation on the Hierarchical Group

Sharp Boundary Trace Theory and Schrodinger Operators on Bounded Lipschitz Domains

Sharp Boundary Trace Theory and Schrodinger Operators on Bounded Lipschitz Domains

The Dynamics and Geometry of Semi-Hyperbolic Rational Semigroups

The Dynamics and Geometry of Semi-Hyperbolic Rational Semigroups

Saturated Fusion Systems on $p$-Groups of Maximal Class

Saturated Fusion Systems on $p$-Groups of Maximal Class

Steady Gradient Kahler-Ricci Solitons on Crepant Resolutions of Calabi-Yau Cones

Steady Gradient Kahler-Ricci Solitons on Crepant Resolutions of Calabi-Yau Cones

Macdonald Theory and Beyond

Macdonald Theory and Beyond

Geometry and Topology of Aspherical Manifolds

Geometry and Topology of Aspherical Manifolds

The Heisenberg Group

The Heisenberg Group

Mathematical and Computational Methods for Complex Social Systems

Mathematical and Computational Methods for Complex Social Systems

Coming Soon

Your Daily Epsilon of Math Wall Calendar 2026

Your Daily Epsilon of Math Wall Calendar 2026

Iwasawa Theory and Its Perspective, Volume 3

Iwasawa Theory and Its Perspective, Volume 3

Generalized Functions, Volume 6

Generalized Functions, Volume 6

RoCK Blocks for Double Covers of Symmetric Groups and Quiver Hecke Superalgebras

RoCK Blocks for Double Covers of Symmetric Groups and Quiver Hecke Superalgebras

The AKSZ Construction in Derived Algebraic Geometry As an Extended Topological Field Theory

The AKSZ Construction in Derived Algebraic Geometry As an Extended Topological Field Theory

$q$-Stability Conditions Via $q$-Quadratic Differentials for Calabi-Yau-$\mathbb {X}$ Categories

$q$-Stability Conditions Via $q$-Quadratic Differentials for Calabi-Yau-$\mathbb {X}$ Categories

Centralizers of Hamiltonian Circle Actions on Rational Ruled Surfaces

Centralizers of Hamiltonian Circle Actions on Rational Ruled Surfaces

Weinstein Handlebodies for Complements of Smoothed Toric Divisors

Weinstein Handlebodies for Complements of Smoothed Toric Divisors

Regularity for Orlicz Phase Problems

Regularity for Orlicz Phase Problems

Stability in Gagliardo-Nirenberg-Sobolev Inequalities: Flows, Regularity and the Entropy Method

Stability in Gagliardo-Nirenberg-Sobolev Inequalities: Flows, Regularity and the Entropy Method

When the Lower Central Series Stops: a Comprehensive Study for Braid Groups and Their Relatives

When the Lower Central Series Stops: a Comprehensive Study for Braid Groups and Their Relatives

From Representation Theory to Mathematical Physics and Back

From Representation Theory to Mathematical Physics and Back

Mapping Analytic Surgery to Homology, Higher Rho Numbers and Metrics of Positive Scalar Curvature

Mapping Analytic Surgery to Homology, Higher Rho Numbers and Metrics of Positive Scalar Curvature

Reflection Theorems of Ohno-Nakagawa Type for Quartic Rings and Pairs of $n$-Ary Quadratic Forms

Reflection Theorems of Ohno-Nakagawa Type for Quartic Rings and Pairs of $n$-Ary Quadratic Forms

Construction of a Non-Gaussian and Rotation-Invariant $\Phi ^4$-Measure and Associated Flow on $\mathbb {R}^3$ Through Stochastic Quantization

Construction of a Non-Gaussian and Rotation-Invariant $\Phi ^4$-Measure and Associated Flow on $\mathbb {R}^3$ Through Stochastic Quantization

Rigid Local Systems and Sporadic Simple Groups

Rigid Local Systems and Sporadic Simple Groups