Math
Mathematics: proofs, geometry, calculus, linear algebra, probability, statistics, and math explained visually.
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Oxford Mathematics youtube.com
Lectures and public talks from the University of Oxford, including accessible explanations of advanced topics.
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PatrickJMT youtube.com
Worked-example videos for algebra, calculus, and other introductory college topics.
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Numberphile youtube.com
Popular mathematics videos featuring mathematicians discussing problems, ideas, and curiosities.
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MIT OpenCourseWare youtube.com
MIT course recordings and video lectures, including full mathematics courses.
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NPTEL youtube.com
University lecture courses from Indian institutes covering mathematics and related technical subjects.
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Professor Leonard youtube.com
Full lecture series in precalculus, calculus, and differential equations for college students.
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Mathologer youtube.com
Visual videos on recreational mathematics and selected advanced topics.
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Brandon Foltz youtube.com
Video courses in statistics, probability, and quantitative methods with worked examples.
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3Blue1Brown youtube.com
Visual explanations of core mathematics, including calculus, linear algebra, and differential equations.
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Ximera ximera.osu.edu
Free interactive mathematics textbooks from Ohio State University.
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The Only Probability Cheatsheet You'll Ever Need wzchen.com
William Chen.
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An Introduction to Algebraic Statistics www3.diism.unisi.it
Cristiano Bocci, Luca Chiantini and Anthony V. Geramita.
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Analytic Number Theory www2.math.uu.se
Andreas Strömbergsson (Uppsala University).
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Algorithms and Complexity www2.math.upenn.edu
H. Wilf.
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Introduction to Statistics and Data Analysis for Physicists www-library.desy.de
Gerhard Bohm, Günter Zech.
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Elementary Number Theory: Primes, Congruences, and Secrets wstein.org
William Stein.
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General Topology webusers.imj-prg.fr
Pierre Schapira (Sorbonne University).
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Algebra and Topology webusers.imj-prg.fr
Pierre Schapira (Sorbonne University).
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A Course on Number Theory webspace.maths.qmul.ac.uk
Peter J. Cameron.
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Notes on Finite Group Theory webspace.maths.qmul.ac.uk
Peter J. Cameron.
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Introduction to Applied Linear Algebra web.stanford.edu
Stephen Boyd (Stanford University), Lieven Vandenberghe (UCLA).
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Statistical Learning Theory web.stanford.edu
Percy Liang.
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A ProblemText in Advanced Calculus web.pdx.edu
John M. Erdman.
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Basic Combinatorics web.math.utk.edu
Carl G. Wagner (University of Tennessee).
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Predictive Arithmetic web.math.princeton.edu
Edward Nelson.
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General Topology web.math.ku.dk
Jesper M. Møller.
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Evan Chen web.evanchen.cc
MIT. 2012 ~ 2018. Covers Combinatorics, Number Theory, Honors Algebra, Set Theory, Real Analysis, Graph Theory, and more.
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Introduction to Probability vfu.bg
Dimitri P. Bertsekas, John N. Tsitsiklis (MIT).
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Differential Equations users.math.msu.edu
Gabriel Nagy.
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Metamath us.metamath.org
Minimal formal language and proof verifier with explicit, inspectable proofs built from simple foundations.
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Lectures in Basic Computational Numerical Analysis uknowledge.uky.edu
Archived University of Kentucky textbook by J. M. McDonough, focused on computational methods for differential equations.
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Paul's Online Math Notes tutorial.math.lamar.edu
Free notes, examples, and practice problems for algebra, calculus, and differential equations, by Paul Dawkins at Lamar University.
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Algebraic Statistics tore.tuhh.de
Karl-Heinz Zimmermann.
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The Math District themathdistrict.com
Free guides and videos covering prealgebra, algebra, geometry, trigonometry, statistics, calculus, and technical mathematics.
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Interactive Linear Algebra textbooks.math.gatech.edu
Dan Margalit and Joseph Rabinoff.
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Elementary Real Analysis textbooks.aimath.org
Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner.
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A First Course in Linear Algebra textbooks.aimath.org
Robert A. Beezer.
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A First Course in Complex Analysis textbooks.aimath.org
Matthias Beck, Gerald Marchesi, Dennis Pixton, Lucas Sabalka.
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AIM Open Textbook Initiative textbooks.aimath.org
Open mathematics textbooks organized by course and evaluated by the American Institute of Mathematics editorial board.
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An Introduction to Measure Theory terrytao.files.wordpress.com
Terence Tao (UCLA).
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QED - an interactive textbook teorth.github.io
Terence Tao.
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Mathematical Reasoning: Writing and Proof tedsundstrom.com
Ted Sundstrom.
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Talking Maths in Public talkingmathsinpublic.uk
Biennial conference for mathematics communicators in the United Kingdom.
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Toposes, Triples and Theories tac.mta.ca
Michael Barr, Charles Wells.
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The Calculus of Functions of Several Variables synechism.org
Dan Sloughter.
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SymPy sympy.org
Python library for symbolic algebra, calculus, equation solving, matrices, and code generation.
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Precalculus stitz-zeager.com
Carl Stitz, Jeff Zeager.
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Statistical Thinking for the 21st Century statsthinking21.org
Russell A. Poldrack.
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UCLA Statistical Methods and Data Analytics stats.oarc.ucla.edu
Tutorials and examples for R, Stata, SAS, and SPSS.
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Statistics Done Wrong statisticsdonewrong.com
Alex Reinhart.
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