Mathematics Library

Books, lecture notes and mathematical writing, grouped by subject.

7 broad areas · 29 subject pages · 609 distinct resources

Browse the library

Search & filter all resources — free full text is selected by default; use Reading access to include institutional or purchase references.

Essays & Popular Mathematics — mathematical ideas, stories and viewpoints.

Foundations & LogicProofs, logic, set theory, computability and model theory80 resources AlgebraLinear, abstract, commutative and homological algebra; categories, representations and algebraic geometry162 resources AnalysisCalculus, real and complex analysis, measure, functional analysis, Fourier analysis and differential equations127 resources Geometry & TopologyPoint-set and algebraic topology, differential geometry, homotopy and symplectic geometry98 resources Number TheoryElementary, algebraic and analytic number theory; class field theory, modular forms and arithmetic geometry75 resources Discrete MathematicsCombinatorics, graphs, enumeration and generating functions21 resources Probability & DynamicsUndergraduate and measure-theoretic probability, dynamical systems and ergodic theory54 resources

How to use this library

Choose a broad area, then a subject. Each resource includes its author, level, preparation and a short reading note. Follow the title to the text or official access page.

PDFs can be read in your browser and saved using the PDF viewer's download button. Some official sources offer HTML or require one further click to reach the PDF.

Sources & access

Use each resource’s access badge to choose a reading option.

Two older, permitted local archives remain available on the algebraic geometry and algebraic topology pages, with version and rights information. For current reading, use the official editions.

Editorial note

Use cards to find a subject when you do not yet know a title. Use the catalogue when you have a book, author or access requirement in mind. The subject guides explain a smaller starting selection; this page keeps the wider collection visible.

Site editorial compilation (AI-assisted). Content revised: 2026-10-19. Source inspection dates are recorded with readings; no external mathematical peer review is claimed.

Revision note

Connected reading choices, examples and related pages, with a corresponding Chinese version.