Mathematics
Master mathematics from K-12 to PhD research. Free textbooks, MIT/Harvard courses, problem solving platforms, competitions, and research databases covering 100+ countries.
Featured Resources
Khan Academy Math
Khan Academy
Complete K-12 + college mathematics curriculum
MIT OCW Mathematics
MIT
Undergraduate and graduate courses with full materials
Wolfram MathWorld
Wolfram Research
13,000+ entries, comprehensive math encyclopedia
3Blue1Brown
Grant Sanderson
Visual math explanations with custom animations
Art of Problem Solving
AoPS
Competition math, online school, community
Paul's Online Math Notes
Lamar University
Excellent algebra, calculus, DE notes
Online Learning Platforms
K-12 Mathematics
Khan Academy Math
Khan Academy
K-12+Interactive LearningBrilliant Math
Brilliant
AllPractice PlatformIXL Math
IXL
K-12Graphing ToolDesmos Graphing Calculator
Desmos
AllMath SoftwareGeoGebra
GeoGebra
K-12/UGTutorialsMath is Fun
MathsIsFun
K-8InteractiveBrilliant Elementary
Brilliant
K-5Video LessonsPatrickJMT
PatrickJMT
High SchoolVideo LessonsMath Antics
Math Antics
K-8Game-basedProdigy Math
Prodigy
K-8Educational GamesCool Math Games
Coolmath
K-12Interactive GamesMath Playground
Math Playground
K-6Free Textbooks
Beginner (Algebra, Precalculus)
OpenStax Elementary Algebra
OpenStax/Rice
FREE PDFOpenStax Intermediate Algebra
OpenStax/Rice
FREE PDFOpenStax College Algebra
OpenStax/Rice
FREE ClassicCalculus Made Easy
Silvanus Thompson
FREE PDFPrecalculus - Stitz-Zeager
Stitz & Zeager
Intermediate (Calculus, Linear Algebra)
OpenStax Calculus Vol 1-3
OpenStax/Rice
FREE PDFOpenStax Statistics
OpenStax/Rice
FREE PDFLinear Algebra - Hefferon
Jim Hefferon
FREE WEBPaul's Algebra Notes
Paul Dawkins (Lamar)
FREE WEBPaul's Calculus I Notes
Paul Dawkins (Lamar)
FREE WEBPaul's Calculus II Notes
Paul Dawkins (Lamar)
FREE WEBPaul's Calculus III Notes
Paul Dawkins (Lamar)
Advanced (Proof, Abstract Algebra)
Calculus
MIT 18.01 Single Variable Calculus
OCW Scholar - David Jerison
MIT OCWMIT 18.02 Multivariable Calculus
OCW Scholar - Denis Auroux
MIT OCWMIT 18.03 Differential Equations
OCW Scholar - Arthur Mattuck
YouTube3Blue1Brown Essence of Calculus
12 video series, visual approach
YouTubeProfessor Leonard Calculus
Full lecture series
WebsiteCalculus.org
Problems and solutions
ToolIntegral Calculator
Step-by-step integration
ToolDerivative Calculator
Step-by-step derivatives
Khan AcademyKhan Academy Calculus
Complete courses
HarvardHarvard Math 1a
Benedict Gross notes
Linear Algebra
MIT 18.06 Linear Algebra
Gilbert Strang - Classic course
YouTube3Blue1Brown Linear Algebra
Essence of LA - Visual series
WebInteractive Linear Algebra
Georgia Tech textbook
WebImmersive Math
Interactive with graphics
MITGilbert Strang's Homepage
Books, lectures, more
WebLinear Algebra - Hefferon
Free textbook with exercises
Khan AcademyKhan Academy Linear Algebra
Complete course
Book/CourseCoding the Matrix
Philip Klein, with Python
Problem Solving Platforms
Project Euler
800+ computational problems
All LevelsBrilliant.org
Interactive problem solving
CompetitionArt of Problem Solving
Competition community
PracticeWolfram Problem Generator
Unlimited practice problems
ForumMath StackExchange
Q&A community (1M+ questions)
Research ForumMathOverflow
Research-level Q&A
CommunityBrilliant Community
User-contributed problems
AdaptiveAlcumus (AoPS)
Adaptive learning system
Math Competitions
AMC 8/10/12
American Mathematics Competitions
High SchoolAIME
American Invitational Math Exam
Elite HSUSAMO/USAJMO
USA Mathematical Olympiad
UGPutnam Competition
Undergraduate, most prestigious
AllMath Kangaroo
70+ countries, fun problems
HSARML
American Regions Math League
Middle SchoolMATHCOUNTS
USA Middle School
UK AllUKMT
UK Mathematics Trust
AllAMC Preparation
Past problems archive
Mathematical Olympiads
IMO Official
International Math Olympiad
ArchiveIMO Problems Archive
All IMO problems
EuropeEGMO
European Girls' Math Olympiad
Asia-PacificAPMO
Asian Pacific Math Olympiad
ArchiveIMO Shortlist
Practice problems
ArchiveIMO Compendium
Problems and solutions
Summer Training Programs
Mathematical Software
SageMath
All
Maxima
All
SymPy
Python
WolframAlpha
Web
GeoGebra
All
Desmos
Web
R / RStudio
All
Julia
All
GNU Octave
All
Jupyter Notebook
All
Typesetting Tools
Mobile Apps
Photomath
Camera calculator
Microsoft Math Solver
AI-powered solver
GeoGebra Apps
Graphing & geometry
Desmos
Graphing calculator
WolframAlpha
Computational engine
Brilliant App
Interactive learning
YouTube Channels
3Blue1Brown
Visual math animations
Numberphile
Recreational mathematics
Mathologer
Accessible advanced math
PatrickJMT
Calculus tutorials
Professor Leonard
Full lecture series
Stand-up Maths
Fun math explanations
Khan Academy
Complete curriculum
Advanced & Research Resources
Harvard Math 55
Honors advanced calculus
Stacks Project
Algebraic geometry reference
Kerodon
Higher category theory
nLab
Category theory wiki
MIT 18.100A Real Analysis
Rigorous calculus
MIT 18.901 Algebraic Topology
Topology course
Research Databases
Major Awards
Fields Medal
Every 4 years
Highest honor
Abel Prize
Annual
Lifetime achievement
Wolf Prize
Annual
Major contribution
Chern Medal
Every 4 years
Outstanding achievement
Millennium Prize Problems ($1M each)
Riemann Hypothesis
Distribution of primes
P vs NP
Computational complexity
Navier-Stokes
Fluid dynamics
Yang-Mills Mass Gap
Quantum field theory
Hodge Conjecture
Topology of varieties
BSD Conjecture
L-functions
Poincaré Conjecture
By Grigori Perelman
Mathematicians in History
Historical Giants
Euclid
Elements, geometry foundation
Archimedes
Calculus precursors, π
Isaac Newton
Calculus, physics
Leonhard Euler
e^(iπ)+1=0, prolific
Carl Gauss
Prince of Mathematicians
Évariste Galois
Group theory
Bernhard Riemann
Riemann hypothesis
Modern Era
Srinivasa Ramanujan
Infinite series, notebooks
David Hilbert
23 problems
Kurt Gödel
Incompleteness theorems
Alexander Grothendieck
Algebraic geometry
Andrew Wiles
Fermat's Last Theorem
Grigori Perelman
Poincaré conjecture
Contemporary Stars
Mathematical Organizations
International Mathematical Union
International
AMSAmerican Mathematical Society
USA
MAAMathematical Association of America
USA
EMSEuropean Mathematical Society
Europe
LMSLondon Mathematical Society
UK
SMFSociété Mathématique de France
France
Women in Mathematics
Association for Women in Mathematics
USA
European Women in Mathematics
Europe
IMU Committee for Women
International
Math Prize for Girls
USA
EGMO
Europe
Research Institutes
5000+ resources curated for mathematics learners worldwide