Reference & Encyclopedias
6 entriesLook up definitions, sequences and special functions.
01Wolfram MathWorldComprehensive online mathematics encyclopedia.
02OEIS: On-Line Encyclopedia of Integer SequencesDatabase of integer sequences with formulas and references.
03NIST Digital Library of Mathematical FunctionsAuthoritative reference on special functions and their properties.
04Discrete Mathematics - EncyclopediaA concise reference definition of discrete mathematics from A Dictionary of Computing.
05Mathematics, Pure and Applied: Reference ResourcesUniversity of Washington Libraries' guide to encyclopedias, dictionaries, handbooks and citation guides for mathematics.
06A Guide to Mathematics ResourcesWashington University in St. Louis Libraries' research guide covering books, articles, theses and databases in mathematics.
Courses & Learning
9 entriesFree courses and teaching resources.
07Khan Academy MathematicsFree lessons and practice from early maths through calculus and linear algebra.
08MIT OpenCourseWare MathematicsFree MIT mathematics course materials.
093Blue1BrownVisual explanations of mathematical ideas.
10Project EulerMathematical and computational programming problems.
11Primary Mathematics Resource CollectionSTEM Learning's guide to the best resources supporting primary mathematics aligned to the English National Curriculum.
12Free Primary Maths ResourcesPlanBee's top 10 free primary maths resources for KS1 and KS2 teachers.
13Best Online Math ResourcesBored Teachers' roundup of the best online math resources for all grade levels.
14Mathematics Teacher ResourcesUniversity of Michigan Library's research guide for mathematics education resources.
15MATH1002: Linear AlgebraUniversity of Sydney unit outline for MATH1002, covering vectors, matrices, determinants and eigenvalues.
Discrete Mathematics
3 entriesLogic, sets, relations, counting and graphs.
16An Overview of Discrete MathematicsMathematics LibreTexts' introduction to discrete mathematics topics including logic, sets, relations and combinatorics.
17Discrete Mathematics: Representing RelationsGeeksforGeeks' guide to representing relations using ordered pairs, matrices and digraphs.
18Introductory Discrete Mathematics for Computer ScienceWikiversity's course outline covering logic, set theory, functions, counting and graphs.
Software & Tools
4 entriesComputation, graphing and geometry tools.
Research, Societies & Journals
6 entriesWhere research happens.
23arXiv MathematicsOpen-access preprints in mathematics.
24American Mathematical SocietyProfessional society publishing journals and MathSciNet.
25Math Stack ExchangeQuestion-and-answer community for mathematics.
26Applications and Applied Mathematics (AAM)An international peer-reviewed journal on applied mathematics published by Prairie View A&M University.
27Warwick Mathematics InstituteHome page of the Warwick Mathematics Institute, a top-30 global mathematics department.
28Research Institutes and CentresUniversity of Ottawa's Department of Mathematics and Statistics on its CRM and Fields Institute affiliations.
Free Texts & Research Tools
3 entriesTexts and tools.
Related Pages
22 entriesRelated directories on this site.
32Theoretical Computer ScienceTheoretical computer science.
33AlgorithmsAlgorithm resources.
34AlgebraAlgebra resources.
35Linear AlgebraLinear algebra resources.
36Number TheoryNumber theory resources.
37Mathematics Courses and CertificationsMathematics courses, books, exams and communities.
38Number Theory for AIModular arithmetic, cryptography for private AI, grokking, and AI for discovering and proving mathematics.
39CombinatoricsCombinatorics resources.
40Complexity TheoryComputational complexity.
41Coding TheoryCoding theory.
42EntropyEntropy resources.
43Formal MethodsFormal methods.
44Petri NetsPetri net resources.
45L-systemsLindenmayer systems.
46LaTeXTypesetting mathematics.
47MATLABMATLAB resources.
48PhysicsPhysics resources.
49Probability Theory for AIBayesian inference, probabilistic and generative models, uncertainty and conformal prediction, and bandits and decision making.
50Linear Algebra for AIVectors, matrices and tensors, SVD and PCA, attention and embeddings, low-rank methods such as LoRA, and numerical libraries.
51CryptographyCryptography resources.
52StatisticsFree textbooks and courses, open data, software such as R and statsmodels, societies and journals.
53Mathematics for Deep LearningHub for the mathematics used in deep learning: linear algebra, calculus, optimisation, probability and numerical computing.
Frequently Asked Questions
Where can I look up a mathematical concept?
MathWorld is a long-standing encyclopedia, the OEIS covers integer sequences and the NIST DLMF covers special functions.
Where can I learn mathematics for free?
Khan Academy, MIT OpenCourseWare and 3Blue1Brown cover school to university level.
What is discrete mathematics?
The study of countable structures such as logic, sets, relations, graphs and combinatorics, which underpins computer science.
Which software helps with maths?
SageMath is an open-source system, Desmos and GeoGebra are visual tools, and MATLAB and Maple are commercial systems; see the related pages.
Which additional references does this page add?
The section 'Free Texts & Research Tools' lists OEIS, arXiv Mathematics, Lean Community, Project Euler, Mathematics for Machine Learning.
Where do mathematicians publish?
Preprints appear on arXiv, and societies such as the AMS publish journals and reviews.