Theory
1,949 items in 14 lists
-
MIT OpenCourseWare ocw.mit.edu
Free MIT course materials, including notes, assignments, and exams for undergraduate and graduate mathematics.
-
Calculus Open Textbook ocw.mit.edu
Gilbert Strang (MIT OpenCourseWare).
-
Essential Coding Theory ocw.mit.edu
Free graduate MIT course on error-correcting codes, Hamming spaces, and the algebraic and complexity aspects of coding theory.
-
Nonlinear Optimization ocw.mit.edu
Free graduate MIT course covering analytical and computational methods for unconstrained and constrained optimization.
-
Information Theory ocw.mit.edu
Free graduate MIT course on entropy, source and channel coding, rate distortion, Gaussian channels, feedback, and multi-user information theory.
-
Mathematics for Computer Science ocw.mit.edu
Free MIT OpenCourseWare course with an open textbook, videos, notes, problem sets, and exams on proofs, discrete structures, counting, graphs, modular arithmetic, and discrete probability.
-
Differential Geometry ocw.mit.edu
Rigorous undergraduate MIT OpenCourseWare course with lecture notes and problem sets centered on curves, surfaces, and curvature.
-
Introduction to Representation Theory ocw.mit.edu
Free MIT course by Pavel Etingof with lecture notes and problem sets on representations of groups and algebras, categories, and quivers.
-
Mathematics of Machine Learning ocw.mit.edu
Free graduate MIT course on the mathematical and statistical foundations of machine learning, with lecture notes, assignments, and problem-set solutions.
-
Topics in Mathematics with Applications in Finance ocw.mit.edu
Free undergraduate MIT course covering bond mathematics, probability, portfolio methods, time series, stochastic processes, and quantitative finance.
-
GNU Octave octave.org
Free environment for numerical computing, linear algebra, plotting, and MATLAB-compatible scripts.
-
Introduction to Vectors and Tensors, Vol. 2: Vector and Tensor Analysis oaktrust.library.tamu.edu
Ray M. Bowen, C. C. Wang.
-
Introduction to Vectors and Tensors, Vol. 1: Linear and Multilinear Algebra oaktrust.library.tamu.edu
Ray M. Bowen, C. C. Wang.
-
NRICH nrich.maths.org
Free curriculum-linked problems, investigations, articles, and teacher guidance from the University of Cambridge for learners aged 3 to 18.
-
nLab ncatlab.org
Collaborative research-level notes and expositions in category theory, homotopy theory, mathematical physics, and related areas.
-
Lectures on Differential Geometry mysite.science.uottawa.ca
Wulf Rossmann.
-
Introduction to Complex Analysis mtaylor.web.unc.edu
Michael Taylor.
-
Mathematics Subject Classification 2020 msc2020.org
The standard subject taxonomy maintained by Mathematical Reviews and zbMATH.
-
Lecture Notes in Real Analysis ms.mcmaster.ca
Eric T. Sawyer (McMaster University).
-
Galois Theory mreid.warwick.ac.uk
Miles Reid.
-
Mathematics for Machine Learning mml-book.github.io
Free textbook on the linear algebra, geometry, calculus, probability, and optimization needed to study machine learning.
-
Reinforcement Learning: An Introduction mitpress.mit.edu
Richard S. Sutton, Andrew G. Barto (2nd edition).
-
WooTube misterwootube.com
Video lessons by Eddie Woo covering secondary-school mathematics with an emphasis on conceptual understanding.
-
Lecture Notes on Stochastic Processes mi.fu-berlin.de
Frank Noé, Bettina Keller and Jan-Hendrik Prinz (Freie Universität Berlin).
-
Trigonometry mecmath.net
Michael Corral.
-
Maxima maxima.sourceforge.io
Free computer algebra system for symbolic and numerical calculations, plotting, and scripting.
-
Formal Logic maude.sip.ucm.es
Miguel Palomino.
-
Wolfram Mathworld mathworld.wolfram.com
Reference articles on mathematical definitions, formulas, identities, and related concepts.
-
MATLAB mathworks.com
Paid numerical computing environment by MathWorks.
-
Lecture Notes: Measure Theory mathweb.ucsd.edu
Bruce K. Driver.
-
On Stochastic Processes mathweb.tifr.res.in
K. Ito (Tata Institute of Fundamental Research).
-
MathsJam mathsjam.com
Monthly local recreational mathematics and puzzle meetups, plus an annual gathering in the United Kingdom.
-
Math Is Fun mathsisfun.com
Lightweight lessons and reference pages for school mathematics.
-
MacTutor History of Mathematics Archive mathshistory.st-andrews.ac.uk
University of St Andrews archive of mathematician biographies, histories of mathematical topics, timelines, institutions, and related reference material.
-
Complex Analysis maths.lth.se
Christer Bennewitz.
-
Functional Analysis maths.lancs.ac.uk
Alexander C. R. Belton.
-
An Introduction to Galois Theory maths.gla.ac.uk
Andrew Baker (University of Glasgow).
-
Mathispower4u mathispower4u.com
More than 9,000 free, closed-captioned video lessons and worked examples organized from middle-school mathematics through calculus, linear algebra, differential equations, and statistics, by James Sousa.
-
Mathigon mathigon.org
Interactive courses, activities, and visual explanations for school and early university mathematics.
-
Mathematical Logic mathematik.uni-muenchen.de
Helmut Schwichtenberg.
-
Category Theory mathematik.uni-muenchen.de
B. Pareigis.
-
Analytic Number Theory mathematik.uni-muenchen.de
Otto Forster (LMU Munich).
-
Introduction to Modern Algebra mathcs.clarku.edu
David Joyce (Clark University).
-
Euclid's Elements (David Joyce edition) mathcs.clarku.edu
Complete web edition with diagrams, commentary, and references by David Joyce.
-
Math Academy mathacademy.com
Paid adaptive platform with diagnostic assessment and mastery-based courses from fourth-grade mathematics through university topics.
-
Math AI Seminar math.washington.edu
University of Washington research seminar on formalization, theorem proving, mathematical AI, and machine-learning applications in mathematics, with a multi-year event archive.
-
A Course in Universal Algebra math.uwaterloo.ca
Free online edition of Stanley Burris and H. P. Sankappanavar's graduate text on universal algebra.
-
Applied Stochastic Processes in science and engineering math.uwaterloo.ca
Matt Scott (University of Waterloo).
-
An Introduction to Functional Analysis math.uwaterloo.ca
Laurent W. Marcoux (University of Waterloo).
-
Elementary Number Theory math.utoledo.edu
W. Edwin Clark (University of South Florida).
- next page of items loading…
