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README.md Copy Chapter

Awesome Math 

A curated list of awesome mathematics resources.

All resources are freely available except those with a 💲 icon.

Contents

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* Contents
* General Resources
* Learning Platforms
* Learn to Learn
* Youtube Series
* Tools
* Questions and Answers
* Encyclopedia
* Books
* Magazines
* Blogs
* Meetings and Conferences
* Misc
* Branches of Mathematics
* Foundations of Mathematics
* Transition To Pure Rigour Math
* Set Theory
* Logic
* Category Theory
* Type Theory
* Homotopy Type Theory
* Surreal Numbers
* Number Theory
* Algebraic Number Theory
* Analytic Number Theory
* Algebra
* Abstract Algebra
* Group Theory
* Linear Algebra
* Ring Theory
* Galois Theory
* Lie Algebras
* Combinatorics
* Graph Theory
* Geometry and Topology
* Differential Geometry
* Algebraic Geometry
* Algebraic Statistics
* Topology
* Algebraic Topology
* Analysis
* Real Analysis
* Harmonic Analysis
* Complex Analysis
* Functional Analysis
* Measure Theory
* Ordinary Differential Equations
* Partial Differential Equations
* Chaos Theory
* Probability and Statistics
* Probability Theory
* Statistics
* Statistical Learning
* Stochastic processes
* Numerical Analysis
* Signal processing
* Mathematics for Computer Science
* Mathematical Biology
* Mathematical Physics
* Students Lecture Notes
* Related Awesome Lists
* License

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General Resources

Learning Platforms Copy Chapter

* Khan Academy
* Coursera
* MIT OpenCourseWare
* edX
* Brilliant
* WooTube
* Mathigon
* Calculus.org
* Ximera : free interactive mathematics textbooks (Ohio State University)
* Almost Fun
* Oxford Mathematics
* Math Academy
* Derivative Calculus Solver — A step-by-step differentiation tool focusing on the chain rule and substitution logic.

Learn to Learn Copy Chapter

* Understanding Mathematics

Youtube Series Copy Chapter

* Brandon Foltz
* StatQuest
* 3Blue1Brown
* NPTEL
* Numberphile
* PatrickJMT
* Professor Leonard
* Precalculus - College Algebra/Trigonometry
* Calculus 1
* Calculus 2
* Calculus 3
* Differential Equations
* To The Point Math
* Crash Course
* Harvard
* MIT OpenCourseWare
* Mathologer
* The Math District
* Mathematical Monk
* The Math Sorcerer

Tools Copy Chapter

* Symbolab
* Desmos
* Math Words
* Wolfram Alpha
* Maxima
* Sympy
* Sagemath
* MathFlow - C# math expression library with symbolic computation (differentiation, simplification, equation solving)
* Unit Converter
* GeoGebra
* Macaulay2
* Singular
* GNU Octave
* Magma
* Maple
* Matlab
* Wolfram Mathematica
* Free Math
* xhub
* CopyPasteMathjax
* Finance calculators
* Mathcheap
* Midpoint Calculator
* Quartiles Calculator
* Corca Editor
* RunMat - Runtime for MATLAB-syntax array math with automatic CPU/GPU execution.
* Structural Engineering Tools (SEPCO Engineering) - Free online calculators for beam diagrams, Canadian steel section properties, and pressure conversions.

Questions and Answers Copy Chapter

* Mathematics Stack Exchange
* MathOverflow - for professional mathematicians

Encyclopedia Copy Chapter

* 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 - Timothy Gowers (Professor, Fields medallist), June Barrow-Green (Professor), and Imre Leader (Professor).
* 💲 Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.

Books Copy Chapter

* 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
* Trigonometry
* Math for Frontend Web Dev
* Grokking Statistics
* The Math Behind Artificial Intelligence - Tiago Capelo Monteiro (freeCodeCamp)

Magazines Copy Chapter

* 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.

Blogs Copy Chapter

* 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)

Meetings and Conferences Copy Chapter

* 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.

Misc Copy Chapter

Branches of Mathematics

Content Format \
📖 Books \
🎥 Videos \
📝 Lecture notes, slides, articles, papers

Foundations of Mathematics Copy Chapter

Transition To Pure Rigour Math Copy Section

Set Theory Copy Section

* 📝 Sets, Relations, Functions - Ivo Düntsch, Günther Gediga
* 📝 An Introduction to Set Theory - William A. R. Weiss
* 📝 Set Theory and Foundations of Mathematics - Sylvain Poirier
* 📝 Set Theory on the Stanford Encyclopedia of Philosophy

Logic Copy Section

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

Category Theory Copy Section

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

Type Theory Copy Section

Homotopy Type Theory Copy Section

* 📝 Homotopy Type Theory

Surreal Numbers Copy Section

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

Number Theory Copy Chapter

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

Algebraic Number Theory Copy Section

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

Analytic Number Theory Copy Section

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

Algebra Copy Chapter

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

Abstract Algebra Copy Section

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

Group Theory Copy Section

* 📝 Notes on Group Theory - Mark Reeder
* 📝 Group Theory - J.S. Milne
* 📝 Notes on Finite Group Theory - Peter J. Cameron
* 📝 Group Theory - Pedrag Civitanovic

Linear Algebra Copy Section

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

Ring Theory Copy Section

* 📝 Foundations of Module and Ring Theory - Robert Wisbauer (University of Düsseldorf)

Galois Theory Copy Section

* 📝 An Introduction to Galois Theory - Andrew Baker (University of Glasgow)
* 📝 Fields and Galois Theory - J.S. Milne
* 📝 Galois theory - Miles Reid
* 📝 Galois Theory - Ian Stewart
* 📝 Galois Theory — Tom Leinster (University of Edinburgh)

Lie Algebras Copy Section

* 📝 Lie Algebras - Shlomo Sternberg

Combinatorics Copy Chapter

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

Graph Theory Copy Section

* 📝 Graph Theory: Lecture Notes - Christopher Griffin
* 📝 Graph Theory - Reinhard Diestel
* 📝 Graph Theory : Interactive Algorithm Visualizer | Graph Theory Learning Platform - Hadjoudj Mohammed Islam

Geometry and Topology Copy Chapter

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

Differential Geometry Copy Section

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

Algebraic Geometry Copy Section

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

Algebraic Statistics Copy Section

Topology Copy Section

* 📝 General Topology - Stephen Willard
* 📝 Elementary Applied Topology - Robert Ghrist (UPenn)
* 📝 Introduction to Topology
* 📝 Introduction to Topology - Alex Küronya
* 📝 Introductory Topology - Jim L. Brown
* 📝 General Topology - Pierre Schapira (Paris VI University)
* 📝 Elementary Topology Problem Textbook
* 📝 General Topology - Jesper M. Møller
* 📝 Topology Topics

Algebraic Topology Copy Section

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

Analysis Copy Chapter

Real Analysis Copy Section

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

Harmonic Analysis Copy Section

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

Complex Analysis Copy Section

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

Functional Analysis Copy Section

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

Measure Theory Copy Section

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

Ordinary Differential Equations Copy Section

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

Partial Differential Equations Copy Section

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

Chaos Theory Copy Section

* 📝 Chaos: Making a New Science - James Gleick
* 📝 Complexity: A Guided Tour - Melanie Mitchell (Oxford University)

Probability and Statistics Copy Chapter

Probability Theory Copy Section

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

Statistics Copy Section

* 📝 Lecture Notes on Statistical Theory - Ryan Martin (University of Illinois)
* 📝 Introduction to Statistics and Data Analysis for Physicists - Gerhard Bohm, Günter Zech
* 📝 Probability and Mathematical Statistics - Prasanna Sahoo (University of Louisville)
* 📝 Lectures on Statistics - William G. Faris
* 📝 Statistical Theory - Adolfo J. Rumbos
* 📝 Theory of Statistics - James E. Gentle (George Mason University)
* 📝 Theory of Statistics - Joseph C. Watkins (University of Arizona)
* 📝 Glossary of Data Modeling - AI Access
* 📝 Statistics Papers - 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 - Resource on practical statistics directed towards scientists and engineers.
* 📝 Concepts and Applications of Inferential Statistics - Richard Lowry
* 📝 Rough set data analysis: A road to non-invasive knowledge discovery - Ivo Düntsch, Günther Gediga
* 📝 Statistical Thinking for the 21st Century - Russell A. Poldrack
* 📝 Odds and Ends: Introducing Probability & Decision with a Visual Emphasis - Jonathan Weisberg
* 📝 Seeing Theory - Daniel Kunin, Jingru Guo, Tyler Dae Devlin, and Daniel Xiang
* 📝 Statistics Done Wrong - Alex Reinhart
* 📝 All of Statistics: A Concise Course in Statistical Inference - Larry Wasserman

Statistical Learning Copy Section

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

Stochastic processes Copy Section

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

Numerical Analysis Copy Chapter

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

Signal processing Copy Chapter

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

Mathematics for Computer Science Copy Chapter

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

Mathematical Biology Copy Chapter

* 📝 Mathematical Biology - Jeffrey Chasnov

Mathematical Physics Copy Chapter

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

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To the extent possible under law, Cyrille Rossant has waived all copyright and related or neighboring rights to this work.