awesome-math

A curated list of awesome mathematics resources

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General Resources / Learning Platforms

Khan Academy
Coursera
MIT OpenCourseWare
edX
Brilliant
WooTube
Mathigon
Calculus.org
Ximera : free interactive mathematics textbooks (Ohio State University)
MathRelay
Almost Fun
Oxford Mathematics
Math Academy

General Resources / Learn to Learn

Understanding Mathematics 1,063 over 1 year ago

General Resources / Youtube Series

Brandon Foltz
StatQuest
3Blue1Brown
NPTEL
PatrickJMT
Professor Leonard

General Resources / Youtube Series / Professor Leonard

Precalculus - College Algebra/Trigonometry
Calculus 1
Calculus 2
Calculus 3
Differential Equations
To The Point Math

General Resources / Youtube Series

Crash Course
Harvard
MIT OpenCourseWare
Mathologer
The Math District
Mathematical Monk

General Resources / Tools

Symbolab
Desmos
Math Words
Wolfram Alpha
Maxima
Sympy
Sagemath
Unit Converter
GeoGebra
Macaulay2
Singular
GNU Octave
Magma
Maple
Matlab
Wolfram Mathematica
Free Math
xhub
CopyPasteMathjax
Finance calculators
Mathcheap
Midpoint Calculator
Quartiles Calculator

General Resources / Questions and Answers

Mathematics Stack Exchange
MathOverflow for professional mathematicians

General Resources / Encyclopedia

Encyclopedia of Mathematics
Planetmath
ProofWiki
Wolfram Mathworld
The On-Line Encyclopedia of Integer Sequences Great compendium of many different integer sequences. Founded 1964 by N. J. A. Sloane
The Princeton Companion to Mathematics πŸ’² - Timothy Gowers (Professor, Fields medallist), June Barrow-Green (Professor), and Imre Leader (Professor)
Encyclopedia of Distances (4th Edition) πŸ’² - Michel Marie Deza, Elena Deza

General Resources / Books

Calculus: Basic Concepts for High Schools L.V. Tarasov
Basics of Algebra, Topology, and Differential Calculus Jean Gallier (University of Pennsylvania)
Multivariable Calculus G. Cain, J. Herod (Georgia Tech)
Wikibooks
Online Mathematics Textbooks
Beginning and Intermediate Algebra
Free Mathematics Books 334,730 21 days ago
Trigonometry

General Resources / Magazines

Quanta Magazine Features latest research breakthroughs in an accessible style for non-experts
Bulletin of the American Mathematical Society Expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic
Notices of the American Mathematical Society Publicizes activities of the Society and features surveys, reports, news, announcements, and opinions on industry trends, academia, and research
European Mathematical Society Magazine The Magazine features announcements about meetings and conferences, articles outlining current trends in scientific development, reports on member societies, and many other informational items
Mathematics Today by Institute of Mathematics and its Applications News, opinions, and articles related to mathematics, so the reader stays updated
Crux Mathematicorum by Canadian Mathematical Society source of unique and challenging mathematical problems designed for the secondary and undergraduate levels. It includes an Olympiad Corner which is helpful for math competitions

General Resources / Blogs

BetterExplained Maintained by Kalid Azad
ILoveMaths For grades 6 thru 12 in K-12 system
3blue1brown Animated Maths
Mathsisfun simple text lightweight site for students up to highschool
MathematicsIsAScience Peter Saveliev (Professor of mathematics at Marshall University, Huntington WV, USA)

General Resources / Meetings and Conferences

MathsJam monthly local recreational maths/puzzle meetups and an annual gathering in Staffordshire, England
Talking Maths in Public a conference for maths communicators, running every two years, usually in the UK
Bridges an annual conference on mathematical connections in art, music, architecture, and culture. The 2025 meeting is in Eindhoven, Netherlands

General Resources / Misc

Areas of mathematics on Wikipedia
Paul's Online Math Notes Paul Dawkins (Lamar University)
List of electronic textbooks Marcel B. Finan (Arkansas Tech University)
Topology Atlas
Recreations in Math H. E. Licks (1917)
Magic Squares and Cubes W. S. Andrews (1917)
Convex Optimization Stephen Boyd and Lieven Vandenberghe
Fabrice Baudoin's Notes Both research and lecture notes on many topics, Including Diffusions on foliated manifold, Stochastic Calculus, Global analysis in Dirichlet spaces, and more

Branches of Mathematics / Foundations of Mathematics / Transition To Pure Rigour Math

Basic Concepts of Mathematics πŸ“ - Elias Zakon
Book of Proof πŸ“ - Richard Hammak (Virginia Commonwealth University)
How to Prove It: A Structured Approach (3rd Edition) πŸ“– - Daniel J. Velleman (Professor)

Branches of Mathematics / Foundations of Mathematics / Set Theory

Sets, Relations, Functions πŸ“ - Ivo DΓΌntsch, GΓΌnther Gediga
An Introduction to Set Theory πŸ“ - William A. R. Weiss
Set Theory and Foundations of Mathematics πŸ“ - Sylvain Poirier
Set Theory on the Stanford Encyclopedia of Philosophy πŸ“

Branches of Mathematics / Foundations of Mathematics / Logic

Introduction to Logic πŸ“ - Michael Genesereth, Eric Kao (Stanford University)
An Introduction to Formal Logic πŸ“ - P.D. Magnus (University at Albany)
A Problem Course in Mathematical Logic πŸ“ - Stefan Bilaniuk (Trent University)
Computability - An introduction to recursive function theory πŸ“ - Nigel Cutland (University of Hull)
Language, Proof, and Logic πŸ“ - Jon Barwise, John Etchemendy
Mathematical Logic πŸ“ - Helmut Schwichtenberg
Mathematical Logic πŸ“ - Stephen G. Simpson (Pennsylvania State University)
Formal Logic πŸ“ - Miguel Palomino
Predictive Arithmetic πŸ“ - Edward Nelson
Proofs and Concepts: the fundamentals of abstract mathematics πŸ“ - Joy Morris, Dave Morris
Mathematical Reasoning: Writing and Proof πŸ“ - Ted Sundstrom
Logic and Proof πŸ“ - Jeremy Avigad, Robert Y. Lewis, and Floris van Doorn
QED - an interactive textbook πŸ“ - Terence Tao
Open Logic Textbook πŸ“ - collaborative effort, main contributors listed

Branches of Mathematics / Foundations of Mathematics / Category Theory

Introduction to Category Theory and Categorical Logic πŸ“ - Thomas Streicher
An Introduction to Category Theory πŸ“ - Harold Simmons
Category Theory πŸ“ - Steve Awodey (Carnegie Mellon University)
Category Theory πŸ“ - B. Pareigis
Category Theory for Computing Science πŸ“ - Michael Barr, Charles Wells
Toposes, Triples and Theories πŸ“ - Michael Barr, Charles Wells
Abelian Categories πŸ“ - Peter Freyd
Categories and Groupoids πŸ“ - P. J. Higgins
Basic Concepts of Enriched Category Theory πŸ“ - G. M. Kelley
Abstract and Concrete Categories: The Joy of Cats πŸ“ - Jiri Adamek, Horst Herrlich, George Strecker
Seven Sketches in Compositionality: An Invitation to Applied Category Theory πŸ“ - Brendan Fong and David I. Spivak (MIT)
Category Theory in Context πŸ“ - Emily Riehl (John Hopkins University)

Branches of Mathematics / Foundations of Mathematics / Type Theory

Proofs and Types πŸ“ - Jean-Yves Girard
Intuitionistic Type Theory πŸ“ - Per Martin-Lof
Type Theory and Functional Programming πŸ“ - Simon Thompson
Programming in Martin-Lof’s Type Theory πŸ“ - Bengt Nordstrom, Kent Petersson, Jan M. Smith

Branches of Mathematics / Foundations of Mathematics / Homotopy Type Theory

Homotopy Type Theory πŸ“

Branches of Mathematics / Foundations of Mathematics / Surreal Numbers

Surreal Numbers - How two ex-students turned on to pure mathematics and found total happiness πŸ“ - D. E. Knuth
Surreal Numbers and Games πŸ“
Conway names, the simplicity hierarchy and the surreal number tree πŸ“ - Philip Ehrlich

Branches of Mathematics / Number Theory

Elementary Number Theory: Primes, Congruences, and Secrets πŸ“ - William Stein
Elementary Number Theory πŸ“ - W. Edwin Clark (University of South Florida)
A Course on Number Theory πŸ“ - Peter J. Cameron
A Computational Introduction to Number Theory and Algebra πŸ“ - Victor Shoup
Number Theory: A Contemporary Introduction πŸ“ - Pete L. Clark
An Introduction to the Theory of Numbers πŸ“ - Leo Moser
Yet Another Introductory Number Theory Textbook πŸ“ - Jonathan A. Poritz

Branches of Mathematics / Number Theory / Algebraic Number Theory

Introduction to Algebraic Number Theory πŸ“
Introduction to Algebraic Number Theory πŸ“ - F. Oggier
Algebraic Number Theory πŸ“ - J.S. Milne
Algebraic Number Theory Course Notes πŸ“ - Matthew Baker (Georgia Tech)
A Course In Algebraic Number Theory πŸ“ - Robert Ash

Branches of Mathematics / Number Theory / Analytic Number Theory

Introduction to Analytic Number Theory πŸ“ - A.J. Hildebrand (University of Illinois)
Elements of Analytic Number Theory πŸ“ - P. S. Kolesnikov, E. P. Vdovin (Novosibirsk)
Analytic Number Theory πŸ“ - Otto Forster (LMU Munich)
Analytic Number Theory - Lecture Notes based on Davenport’s book πŸ“ - Andreas StrΓΆmbergsson

Branches of Mathematics / Algebra

A Course in Universal Algebra πŸ“ - S. Burris, H.P. Sankappanavar
A Course in Commutative Algebra πŸ“ - Robert Ash
First Course in Algebra πŸ“ - Herbert E. Hawkes, William A. Luby, Frank C. Touton (1910)
Second Course in Algebra πŸ“ - Herbert E. Hawkes, William A. Luby, Frank C. Touton (1911)
Algebra: An Elementary Text-Book, Part I πŸ“ - G. Chrystal (1904)
Algebra: An Elementary Text-Book, Part II πŸ“ - G. Chrystal (1900)
Understanding Algebra πŸ“ - James W. Brennan

Branches of Mathematics / Algebra / Abstract Algebra

Introduction to Abstract Algebra πŸ“ - D. S. Malik, John N. Mordeson, M.K. Sen (Creighton University)
Introduction to Modern Algebra πŸ“ - David Joyce (Clark University)
Algebraic Methods πŸ“ - F. Oggier
Abstract Algebra : Theory and Applications πŸ“ - Thomas W. Judson, Robert A. Beezer (Austin State University)
An Undergraduate Course in Abstract Algebra πŸ“ - Robert Howlett
Elements of Abstract and Linear Algebra πŸ“ - E.H. Connell (University of Miami)
Abstract Algebra: The Basic Graduate Year πŸ“ - Robert Ash
Abstract Algebra: Harvard Extension (Archived) πŸ“ - Benedict Gross
Abstract Algebra: Harvard Extension Videos πŸ“ - Benedict Gross

Branches of Mathematics / Algebra / Group Theory

Notes on Group Theory πŸ“ - Mark Reeder
Group Theory πŸ“ - J.S. Milne
Notes on Finite Group Theory πŸ“ - Peter J. Cameron
Group Theory πŸ“ - Pedrag Civitanovic

Branches of Mathematics / Algebra / Linear Algebra

Fundamentals of Linear Algebra πŸ“ - James B. Carrell
Linear Algebra and Matrices πŸ“ - Martin Fluch
Vector Space Theory πŸ“ - Robert Howlett
Linear Algebra πŸ“ - Jim Hefferon
MIT OpenCourseWare Lectures on Linear Algebra (18.06) as Jupyter Notebooks 534 11 months ago πŸ“ - Juan Klopper
Elementary Linear Algebra πŸ“ - Keith Matthews
A First Courses in Linear Algebra πŸ“ - Rob Breezer
Linear Algebra πŸ“ - David Cherney, Tom Denton, Andrew Waldron
Introduction to vectors and tensors, Vol 1: linear and multilinear algebra πŸ“ - Ray M Bowen, C. C. Wang
Introduction to vectors and tensors, Vol 2: vector and tensor analysis πŸ“ - Ray M Bowen, C. C. Wang
Introduction to Applied Linear Algebra πŸ“ - Stephen Boyd (Stanford University), Lieven Vandenberghe (UCLA)
Linear Algebra Done Wrong πŸ“ - Sergei Treil
Immersive Linear Algebra πŸ“ - J. StrΓΆm, K. Γ…strΓΆm, and T. Akenine-MΓΆller
Interactive Linear Algebra πŸ“ - Dan Margalit and Joseph Rabinoff
Linear Algebra, Infinite Dimensions, and Maple πŸ“ - James Herod

Branches of Mathematics / Algebra / Ring Theory

Foundations of Module and Ring Theory πŸ“ - Robert Wisbauer (University of DΓΌsseldorf)

Branches of Mathematics / Algebra / Galois Theory

An Introduction to Galois Theory πŸ“ - Andrew Baker (University of Glasgow)
Fields and Galois Theory πŸ“ - J.S. Milne
Galois theory πŸ“ - Miles Reid
Galois Theory πŸ“ - Ian Stewart
Galois Theory πŸ“ β€” Tom Leinster (University of Edinburgh)

Branches of Mathematics / Algebra / Lie Algebras

Lie Algebras πŸ“ - Shlomo Sternberg

Branches of Mathematics / Combinatorics

Basic Combinatorics πŸ“ - Carl G. Wagner (University of Tennessee)
Applied Combinatorics πŸ“ - Mitchel T. Keller, William T. Trotter
Notes on Combinatorics πŸ“ - Peter J. Cameron
Analytic Combinatorics πŸ“ - Philippe Flajolet, Robert Sedgewick
generatingfunctionology πŸ“ - Herbert Wilf

Branches of Mathematics / Combinatorics / Graph Theory

Graph Theory: Lecture Notes πŸ“ - Christopher Griffin
Graph Theory πŸ“ - Reinhard Diestel

Branches of Mathematics / Geometry and Topology

Fundamentals of Geometry πŸ“ - Oleg A. Belyaev
A=B πŸ“ - M. Petkovsek, H. Wilf, D. Zeilberger
Elements πŸ“ - Euclid
Euclid's Elements Redux πŸ“ - Daniel Callahan
Mathematical Illustrations πŸ“ - Bill Casselman
Byrne's Euclid πŸ“ - Oliver Byrne
Plane Geometry πŸ“ - George Wentworth and David Eugene Smith (1913)
Planes and Spherical Trigonometry πŸ“ - George Wentworth and David Eugene Smith (1915)
Coordinate Geometry πŸ“ - Henry Buchard Fine and Henry Dallas Thompson (1911)
Analytic Geometry πŸ“ - Lewis Parker Siceloff, George Wentworth, David Eugene Smith (1922)

Branches of Mathematics / Geometry and Topology / Differential Geometry

Introduction to Differential Geometry πŸ“ - Joel W. Robbin, Dietmar A. Salamon
Notes on Differential Geometry and Lie Groups πŸ“ - Jean Gallier (University of Pennsylvania)
Topics in Differential Geometry πŸ“ - Peter W. Michor
Lectures on Differential Geometry πŸ“ - Wulf Rossmann
An Introduction to Riemannian Geometry πŸ“ - Sigmundur Gudmundsson (Lund University)
The Geometry and Topology of Three-Manifolds πŸ“ - W. Thurston
Semi-Riemann Geometry and General Relativity πŸ“ - Shlomo Sternberg
Discrete Differential Geometry πŸ“ - Keenan Crane

Branches of Mathematics / Geometry and Topology / Algebraic Geometry

A Brief Introduction to Algebraic Geometry πŸ“ - R.C. Churchill
Introduction to Algebraic Geometry πŸ“ - Igor V. Dolgachev
Foundations of Algebraic Geometry πŸ“ - Ravi Vakil
Algebraic Geometry πŸ“ - Jean Gallier, Stephen S. Shatz (University of Pennsylvania)
Algebraic Geometry πŸ“ - J.S. Milne
Algebraic Geometry πŸ“ - Andreas Gathmann (University of Kaiserslautern)
The Stacks Project πŸ“ - Maintained by Aise Johan de Jong (Columbia)

Branches of Mathematics / Geometry and Topology / Algebraic Statistics

Lectures on Algebraic Statistics πŸ“ - Mathias Drton, Bernd Sturmfels, Seth Sullivant
An Introduction to Algebraic Statistics πŸ“ - Cristiano Bocci, Luca Chiantini and Anthony V. Geramita
Algebraic Statistics πŸ“ - Karl-Heinz Zimmermann
Algebraic Statistics for Computational Biology πŸ“ - Pachter, and Sturmfels

Branches of Mathematics / Geometry and Topology / Topology

Elementary Applied Topology πŸ“ - Robert Ghrist (UPenn)
Introduction to Topology πŸ“
Introduction to Topology πŸ“ - Alex KΓΌronya
Introductory Topology πŸ“ - Jim L. Brown
General Topology πŸ“ - Pierre Schapira (Paris VI University)
Elementary Topology Problem Textbook πŸ“
General Topology πŸ“ - Jesper M. MΓΈller
Topology Topics πŸ“

Branches of Mathematics / Geometry and Topology / Algebraic Topology

Algebraic Topology πŸ“ - Allen Hatcher
A Concise Course in Algebraic Topology πŸ“ - J. P. May
Introduction to Algebraic Topology πŸ“ - Martin Cadek
Algebra and Topology πŸ“ - Pierre Schapira (Paris VI University)
Lecture Notes in Algebraic Topology πŸ“ - James F. Davis, Paul Kirk (Indiana University)
Algebraic Topology πŸ“ - Michael Starbird
Lecture Notes on Algebraic Topology πŸ“ - Jie Wu

Branches of Mathematics / Analysis / Real Analysis

MIT OpenCourseWare Lectures on Calculus πŸ“ - G. Strang
Elementary Calculus: An Approach Using Infinitesimals πŸ“ - Professor H. Jerome Keisler
An Introduction to Real Analysis πŸ“ - John K. Hunter (University of California at Davis)
Introduction to Real Analysis πŸ“ - William F. Trench (Trinity University, Texas)
Basic Analysis: Introduction to Real Analysis πŸ“ - JiΕ™Γ­ Lebl
Elementary Real Analysis πŸ“ - Thomson, Bruckner
Lecture Notes in Real Analysis πŸ“ - Eric T. Sawyer (McMaster University)
Real Analysis πŸ“ - C. McMullen
Real Analysis for Graduate Students πŸ“ - Richard F. Bass
Modern Real Analysis πŸ“ - William P. Ziemer (Indiana University)
Mathematical Analysis Vol I πŸ“ - Elias Zakon
Mathematical Analysis Vol II πŸ“ - Elias Zakon
Advanced Calculus πŸ“ - Lynn Loomis, Schlomo Sternberg
Analysis of Functions of a Single Variable πŸ“ - Lawerence Baggett
The Calculus of Functions of Several Variables πŸ“ - Dan Sloughter
A ProblemText in Advanced Calculus πŸ“ - John M. Erdman
Calculus and Linear Algebra. Vol. 1 πŸ“ - Wilfred Kaplan, Donald J. Lewis
Calculus and Linear Algebra. Vol. 2 πŸ“ - Wilfred Kaplan, Donald J. Lewis
Introduction to Calculus I and II πŸ“ - J.H. Heinbockel
Active Calculus πŸ“ - Matt Boelkins
Supplements to the Exercises in Chapters 1-7 of Walter Rudin's "Principles of Mathematical Analysis" πŸ“ - George M. Bergman
Calculus Made Easy πŸ“ - Silvanus P. Thompson (1910)
Elements of Differential and Integral Calculus πŸ“ - William Anthony Granville (1911)
Precalculus πŸ“ - Carl Stitz, Jeff Zeager

Branches of Mathematics / Analysis / Harmonic Analysis

Harmonic Analysis Lecture Notes πŸ“ - Richard S. Laugesen (University of Illinois at Urbana–Champaign)
Harmonic Analysis πŸ“ - W. Schlag
Lecture Notes: Fourier Transform and its Applications πŸ“ - Brad Osgood
Fourier Analysis πŸ“ - Lucas Illing
Mathematics of the Discrete Fourier Transform (DFT) with Audio Applications πŸ“ - Julius O. Smith III (Stanford University)

Branches of Mathematics / Analysis / Complex Analysis

Introduction to Complex Analysis πŸ“ - Michael Taylor
An Introduction to Complex Analysis and Geometry πŸ“ - John P. D'Angelo (University of Illinois)
A First Course in Complex Analysis πŸ“ - Matthias Beck, Gerald Marchesi, Dennis Pixton, Lucas Sabalka
A Guide to Complex Variables πŸ“ - Steven G. Krantz
Complex Analysis πŸ“ - Charles Walkden
Complex Analysis πŸ“ - Christian Berg
Complex Variables πŸ“ - R. B. Ash, W.P. Novinger
Complex Analysis πŸ“ - Christer Bennewitz
Complex Analysis πŸ“ - Donald E. Marshall
A Concise Course in Complex Analysis and Riemann Surfaces πŸ“ - Wilhelm Schlag
Complex Analysis πŸ“ - G. Cain (Georgia Tech)
Complex Analysis πŸ“ - Juan Carlos Ponce Campuzano

Branches of Mathematics / Analysis / Functional Analysis

An Introduction to Functional Analysis πŸ“ - Laurent W. Marcoux (University of Waterloo)
Functional Analysis: Lecture Notes πŸ“ - Jeff Schenker (Michigan State University)
Functional Analysis Lecture Notes πŸ“ - T.B. Ward (University of East Anglia)
Functional Analysis πŸ“ - Alexander C. R. Belton
Topics in Real and Functional Analysis πŸ“ - Gerald Teschl
Functional Analysis πŸ“ - Christian Remling
Theory of Functions of a Real Variable πŸ“ - Shlomo Sternberg
Functional Analysis πŸ“ - Lawerence Baggett

Branches of Mathematics / Analysis / Measure Theory

An Introduction to Measure Theory πŸ“ - Terence Tao (UCLA)
Lecture Notes on Measure Theory and Functional Analysis πŸ“ - P. Cannarsa, T. D’Aprile
Lecture Notes in Measure Theory πŸ“ - Christer Borell
A Crash Course on the Lebesgue Integral and Measure Theory πŸ“ - Steve Cheng
Measure Theory πŸ“ - John K. Hunter (University of California at Davis)
Measure and Integration πŸ“ - Dietmar A. Salamon (ETH ZΓΌrich)
Lecture notes: Measure Theory πŸ“ - Bruce K. Driver

Branches of Mathematics / Analysis / Ordinary Differential Equations

Difference Equations To Differential Equations πŸ“ - Dan Sloughter
Ordinary Differential Equation πŸ“ - Alexander Grigorian (University of Bielefeld)
Ordinary Differential Equations: Lecture Notes πŸ“ - Eugen J. Ionascu
Ordinary Differential Equations πŸ“ - Peter Philip
Ordinary Differential Equations πŸ“ - Gabriel Nagy
Ordinary Differential Equations and Dynamical Systems πŸ“ - Gerald Teschl
Notes on Differential Equations πŸ“ - Bob Terrell
Elementary Differential Equations πŸ“ - William F. Trench
Elementary Differential Equations With Boundary Value Problems πŸ“ - William F. Trench
Notes on Diffy Qs: Differential Equations for Engineers πŸ“ - JiΕ™Γ­ Lebl
Differential Equations πŸ“ - H. B. Phillips (1922)

Branches of Mathematics / Analysis / Partial Differential Equations

Notes on Partial Differential Equations πŸ“ - John K. Hunter (University of California at Davis)
Partial Differential Equations: Lecture Notes πŸ“ - Erich Miersemann (Leipzig University)
Linear Methods of Applied Mathematics πŸ“ - E. Harrell, J. Herod (Georgia Tech)

Branches of Mathematics / Probability and Statistics / Probability Theory

Introduction to Probability πŸ“ - Charles M. Grinstead, J. Laurie Snell
Introduction to Probability πŸ“ - Dimitri P. Bertsekas, John N. Tsitsiklis (MIT)
A Short Introduction to Probability πŸ“ - Dirk P. Kroese (University of Queensland)
Probability: Theory and Examples πŸ“ - Rick Durrett
Probability and Statistics Cookbook 2,245 over 1 year ago πŸ“ - Matthias Vallentin (UC Berkeley)
The Only Probability Cheatsheet You'll Ever Need πŸ“ - William Chen
An Introduction to Probability and Random Processes πŸ“ - Gian-Carlo Rota, Kenneth Baclawski
Foundations of Constructive Probability Theory πŸ“ - Yuen-Kwok Chan

Branches of Mathematics / Probability and Statistics / Statistics

Lecture Notes on Statistical Theory πŸ“ - Ryan Martin (University of Illinois)
Introduction to Statistics and Data Analysis for Physicists πŸ“ - Gerhard Bohm, GΓΌnter Zech
Probability and Mathematical Statistics πŸ“ - Prasanna Sahoo (University of Louisville)
Lectures on Statistics πŸ“ - William G. Faris
Statistical Theory πŸ“ - Adolfo J. Rumbos
Theory of Statistics πŸ“ - James E. Gentle (George Mason University)
Theory of Statistics πŸ“ - Joseph C. Watkins (University of Arizona)
Glossary of Data Modeling πŸ“ - AI Access
Statistics Papers πŸ“ - List of statistics papers curated by the Institute for Digital Research and Education (IDRE) at UCLA on methods such as bootstrap and factor invariance
NIST Handbook of Statistical Methods πŸ“ - Resource on practical statistics directed towards scientists and engineers
Concepts and Applications of Inferential Statistics πŸ“ - Richard Lowry
Rough set data analysis: A road to non-invasive knowledge discovery πŸ“ - Ivo DΓΌntsch, GΓΌnther Gediga
Statistical Thinking for the 21st Century πŸ“ - Russell A. Poldrack
Odds and Ends: Introducing Probability & Decision with a Visual Emphasis πŸ“ - Jonathan Weisberg
Seeing Theory πŸ“ - Daniel Kunin, Jingru Guo, Tyler Dae Devlin, and Daniel Xiang
Statistics Done Wrong πŸ“ - Alex Reinhart
All of Statistics: A Concise Course in Statistical Inference πŸ“ - Larry Wasserman

Branches of Mathematics / Probability and Statistics / Statistical Learning

An Introduction to Statistical Learning with Applications in R πŸ“ - Gareth James, Daniela Witten, Trevor Hastie, Robert Tibshirani
The Elements of Statistical Learning πŸ“ - Trevor Hastie, Robert Tibshirani, Jerome Friedman
Statistical Learning Theory πŸ“ - Percy Liang
Reinforcement Learning: An Introduction πŸ“ - Richard S. Sutton, Andrew G. Barto

Branches of Mathematics / Probability and Statistics / Stochastic processes

Lectures on Stochastic Processes πŸ“ - K. Ito (Tata Institute of Fundamental Research, Bombay)
Probability and Stochastic Processes with Applications πŸ“ - Oliver Knill (Harvard University)
Stochastic Processes πŸ“ - Amir Dembo (Stanford University)
Lecture Notes on Stochastic Processes πŸ“ - Frank NoΓ©, Bettina Keller and Jan-Hendrik Prinz (Freie UniversitΓ€t Berlin)
Introduction to Stochastic Processes - Lecture Notes πŸ“ - Gordan Ε½itkoviΔ‡ (University of Texas)
Applied Stochastic Processes in science and engineering πŸ“ - Matt Scott (University of Waterloo)
An Introduction to Stochastic Processes in Continuous Time πŸ“ - Flora Spieksma (Leiden University)
Markov Chains and Mixing Times πŸ“ - David A. Levin, Yuval Peres, Elizabeth L. Wilmer
Convergence of Stochastic Processes πŸ“ - David Pollard

Branches of Mathematics / Numerical Analysis

Introduction to Numerical Analysis πŸ“ - Doron Levy (University of Maryland)
A Concise Introduction to Numerical Analysis πŸ“ - Douglas N. Arnold (University of Minnesota)
Numerical Analysis πŸ“ - L. Ridgway Scott
Lectures In Basic Computational Numerical Analysis πŸ“ - J. M. McDonough (University of Kentucky)
Advanced Numerical Methods and Their Applications to Industrial Problems: Adaptive Finite Element Methods πŸ“ - Alfred Schmidt, Arsen Narimanyan
Numerical Analysis for Engineers πŸ“ - Douglas Wilhelm Harder
Advanced Linear Algebra: Foundations to Frontiers πŸ“πŸŽ₯ - Robert van de Geijn, Margaret Myers (University of Texas at Austin)

Branches of Mathematics / Signal processing

Introduction to Signal Processing πŸ“ - Sophocles J. Orfanidis (Rutgers University)
Foundations of Signal Processing πŸ“ - Martin Vetterli, Jelena Kovacevic, Vivek K Goyal
An Introduction to Statistical Signal Processing πŸ“ - Robert M. Gray, Lee D. Davisson
Think DSP πŸ“ - Allen B. Downey
Linear algebra, signal processing, and wavelets. A unified approach. πŸ“ - Øyvind Ryan (University of Oslo)

Branches of Mathematics / Mathematics for Computer Science

Mathematics for Computer Science πŸ“ - Eric Lehman, F. Thomson Leighton, Albert R. Meyer
Algorithms and Complexity πŸ“ - H. Wilf
Lecture Notes on Optimization πŸ“ - Pravin Varaiya
Information Theory, Inference, and Learning Algorithms πŸ“ - David J. C. MacKay
The Chaos Textbook: Mathematics in the age of the computer πŸ“ - Glenn Elert

Branches of Mathematics / Mathematical Biology

Mathematical Biology πŸ“ - Jeffrey Chasnov

Branches of Mathematics / Mathematical Physics

Introduction to Continuum Mechanics πŸ“ - Ray. M. Bowen
Mathematical Tools for Physics πŸ“ - James Nearing
Mechanism of the Heavens (1831) πŸ“ - Mary Somerville

Students Lecture Notes

Evan Chen MIT. 2012 ~ 2018. Covers Combinatorics, Number Theory, Honors Algebra, Set Theory, Real Analysis, Graph Theory, and more
Dexter Chua Harvard. 2013 ~ 2018. Covers Analysis, Probability, Linear Algebra, Complex Analysis, Numerical Analysis, Statistics, Optimization, Algebraic Topology, Quantum Field Theory, and more
Theoretical Computer Science 676 3 days ago

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