# 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 | π² - Timothy Gowers (Professor, Fields medallist), June Barrow-Green (Professor), and Imre Leader (Professor) | ||

Encyclopedia of Distances (4th Edition) | π² - 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 | π - Elias Zakon | ||

Book of Proof | π - Richard Hammak (Virginia Commonwealth University) | ||

How to Prove It: A Structured Approach (3rd Edition) | π - Daniel J. Velleman (Professor) | ||

## Branches of Mathematics / Foundations of Mathematics / Set Theory | |||

Sets, Relations, Functions | π - Ivo DΓΌntsch, GΓΌnther Gediga | ||

An Introduction to Set Theory | π - William A. R. Weiss | ||

Set Theory and Foundations of Mathematics | π - Sylvain Poirier | ||

Set Theory on the Stanford Encyclopedia of Philosophy | π | ||

## Branches of Mathematics / Foundations of Mathematics / Logic | |||

Introduction to Logic | π - Michael Genesereth, Eric Kao (Stanford University) | ||

An Introduction to Formal Logic | π - P.D. Magnus (University at Albany) | ||

A Problem Course in Mathematical Logic | π - Stefan Bilaniuk (Trent University) | ||

Computability - An introduction to recursive function theory | π - Nigel Cutland (University of Hull) | ||

Language, Proof, and Logic | π - Jon Barwise, John Etchemendy | ||

Mathematical Logic | π - Helmut Schwichtenberg | ||

Mathematical Logic | π - Stephen G. Simpson (Pennsylvania State University) | ||

Formal Logic | π - Miguel Palomino | ||

Predictive Arithmetic | π - Edward Nelson | ||

Proofs and Concepts: the fundamentals of abstract mathematics | π - Joy Morris, Dave Morris | ||

Mathematical Reasoning: Writing and Proof | π - Ted Sundstrom | ||

Logic and Proof | π - Jeremy Avigad, Robert Y. Lewis, and Floris van Doorn | ||

QED - an interactive textbook | π - Terence Tao | ||

Open Logic Textbook | π - collaborative effort, main contributors listed | ||

## Branches of Mathematics / Foundations of Mathematics / Category Theory | |||

Introduction to Category Theory and Categorical Logic | π - Thomas Streicher | ||

An Introduction to Category Theory | π - Harold Simmons | ||

Category Theory | π - Steve Awodey (Carnegie Mellon University) | ||

Category Theory | π - B. Pareigis | ||

Category Theory for Computing Science | π - Michael Barr, Charles Wells | ||

Toposes, Triples and Theories | π - Michael Barr, Charles Wells | ||

Abelian Categories | π - Peter Freyd | ||

Categories and Groupoids | π - P. J. Higgins | ||

Basic Concepts of Enriched Category Theory | π - G. M. Kelley | ||

Abstract and Concrete Categories: The Joy of Cats | π - Jiri Adamek, Horst Herrlich, George Strecker | ||

Seven Sketches in Compositionality: An Invitation to Applied Category Theory | π - Brendan Fong and David I. Spivak (MIT) | ||

Category Theory in Context | π - Emily Riehl (John Hopkins University) | ||

## Branches of Mathematics / Foundations of Mathematics / Type Theory | |||

Proofs and Types | π - Jean-Yves Girard | ||

Intuitionistic Type Theory | π - Per Martin-Lof | ||

Type Theory and Functional Programming | π - Simon Thompson | ||

Programming in Martin-Lofβs Type Theory | π - Bengt Nordstrom, Kent Petersson, Jan M. Smith | ||

## Branches of Mathematics / Foundations of Mathematics / Homotopy Type Theory | |||

Homotopy Type Theory | π | ||

## Branches of Mathematics / Foundations of Mathematics / Surreal Numbers | |||

Surreal Numbers - How two ex-students turned on to pure mathematics and found total happiness | π - D. E. Knuth | ||

Surreal Numbers and Games | π | ||

Conway names, the simplicity hierarchy and the surreal number tree | π - Philip Ehrlich | ||

## Branches of Mathematics / Number Theory | |||

Elementary Number Theory: Primes, Congruences, and Secrets | π - William Stein | ||

Elementary Number Theory | π - W. Edwin Clark (University of South Florida) | ||

A Course on Number Theory | π - Peter J. Cameron | ||

A Computational Introduction to Number Theory and Algebra | π - Victor Shoup | ||

Number Theory: A Contemporary Introduction | π - Pete L. Clark | ||

An Introduction to the Theory of Numbers | π - Leo Moser | ||

Yet Another Introductory Number Theory Textbook | π - Jonathan A. Poritz | ||

## Branches of Mathematics / Number Theory / Algebraic Number Theory | |||

Introduction to Algebraic Number Theory | π | ||

Introduction to Algebraic Number Theory | π - F. Oggier | ||

Algebraic Number Theory | π - J.S. Milne | ||

Algebraic Number Theory Course Notes | π - Matthew Baker (Georgia Tech) | ||

A Course In Algebraic Number Theory | π - Robert Ash | ||

## Branches of Mathematics / Number Theory / Analytic Number Theory | |||

Introduction to Analytic Number Theory | π - A.J. Hildebrand (University of Illinois) | ||

Elements of Analytic Number Theory | π - P. S. Kolesnikov, E. P. Vdovin (Novosibirsk) | ||

Analytic Number Theory | π - Otto Forster (LMU Munich) | ||

Analytic Number Theory - Lecture Notes based on Davenportβs book | π - Andreas StrΓΆmbergsson | ||

## Branches of Mathematics / Algebra | |||

A Course in Universal Algebra | π - S. Burris, H.P. Sankappanavar | ||

A Course in Commutative Algebra | π - Robert Ash | ||

First Course in Algebra | π - Herbert E. Hawkes, William A. Luby, Frank C. Touton (1910) | ||

Second Course in Algebra | π - Herbert E. Hawkes, William A. Luby, Frank C. Touton (1911) | ||

Algebra: An Elementary Text-Book, Part I | π - G. Chrystal (1904) | ||

Algebra: An Elementary Text-Book, Part II | π - G. Chrystal (1900) | ||

Understanding Algebra | π - James W. Brennan | ||

## Branches of Mathematics / Algebra / Abstract Algebra | |||

Introduction to Abstract Algebra | π - D. S. Malik, John N. Mordeson, M.K. Sen (Creighton University) | ||

Introduction to Modern Algebra | π - David Joyce (Clark University) | ||

Algebraic Methods | π - F. Oggier | ||

Abstract Algebra : Theory and Applications | π - Thomas W. Judson, Robert A. Beezer (Austin State University) | ||

An Undergraduate Course in Abstract Algebra | π - Robert Howlett | ||

Elements of Abstract and Linear Algebra | π - E.H. Connell (University of Miami) | ||

Abstract Algebra: The Basic Graduate Year | π - Robert Ash | ||

Abstract Algebra: Harvard Extension (Archived) | π - Benedict Gross | ||

Abstract Algebra: Harvard Extension Videos | π - Benedict Gross | ||

## Branches of Mathematics / Algebra / Group Theory | |||

Notes on Group Theory | π - Mark Reeder | ||

Group Theory | π - J.S. Milne | ||

Notes on Finite Group Theory | π - Peter J. Cameron | ||

Group Theory | π - Pedrag Civitanovic | ||

## Branches of Mathematics / Algebra / Linear Algebra | |||

Fundamentals of Linear Algebra | π - James B. Carrell | ||

Linear Algebra and Matrices | π - Martin Fluch | ||

Vector Space Theory | π - Robert Howlett | ||

Linear Algebra | π - Jim Hefferon | ||

MIT OpenCourseWare Lectures on Linear Algebra (18.06) as Jupyter Notebooks | 534 | 11 months ago | π - Juan Klopper |

Elementary Linear Algebra | π - Keith Matthews | ||

A First Courses in Linear Algebra | π - Rob Breezer | ||

Linear Algebra | π - David Cherney, Tom Denton, Andrew Waldron | ||

Introduction to vectors and tensors, Vol 1: linear and multilinear algebra | π - Ray M Bowen, C. C. Wang | ||

Introduction to vectors and tensors, Vol 2: vector and tensor analysis | π - Ray M Bowen, C. C. Wang | ||

Introduction to Applied Linear Algebra | π - Stephen Boyd (Stanford University), Lieven Vandenberghe (UCLA) | ||

Linear Algebra Done Wrong | π - Sergei Treil | ||

Immersive Linear Algebra | π - J. StrΓΆm, K. Γ strΓΆm, and T. Akenine-MΓΆller | ||

Interactive Linear Algebra | π - Dan Margalit and Joseph Rabinoff | ||

Linear Algebra, Infinite Dimensions, and Maple | π - James Herod | ||

## Branches of Mathematics / Algebra / Ring Theory | |||

Foundations of Module and Ring Theory | π - Robert Wisbauer (University of DΓΌsseldorf) | ||

## Branches of Mathematics / Algebra / Galois Theory | |||

An Introduction to Galois Theory | π - Andrew Baker (University of Glasgow) | ||

Fields and Galois Theory | π - J.S. Milne | ||

Galois theory | π - Miles Reid | ||

Galois Theory | π - Ian Stewart | ||

Galois Theory | π β Tom Leinster (University of Edinburgh) | ||

## Branches of Mathematics / Algebra / Lie Algebras | |||

Lie Algebras | π - Shlomo Sternberg | ||

## Branches of Mathematics / Combinatorics | |||

Basic Combinatorics | π - Carl G. Wagner (University of Tennessee) | ||

Applied Combinatorics | π - Mitchel T. Keller, William T. Trotter | ||

Notes on Combinatorics | π - Peter J. Cameron | ||

Analytic Combinatorics | π - Philippe Flajolet, Robert Sedgewick | ||

generatingfunctionology | π - Herbert Wilf | ||

## Branches of Mathematics / Combinatorics / Graph Theory | |||

Graph Theory: Lecture Notes | π - Christopher Griffin | ||

Graph Theory | π - Reinhard Diestel | ||

## Branches of Mathematics / Geometry and Topology | |||

Fundamentals of Geometry | π - Oleg A. Belyaev | ||

A=B | π - M. Petkovsek, H. Wilf, D. Zeilberger | ||

Elements | π - Euclid | ||

Euclid's Elements Redux | π - Daniel Callahan | ||

Mathematical Illustrations | π - Bill Casselman | ||

Byrne's Euclid | π - Oliver Byrne | ||

Plane Geometry | π - George Wentworth and David Eugene Smith (1913) | ||

Planes and Spherical Trigonometry | π - George Wentworth and David Eugene Smith (1915) | ||

Coordinate Geometry | π - Henry Buchard Fine and Henry Dallas Thompson (1911) | ||

Analytic Geometry | π - Lewis Parker Siceloff, George Wentworth, David Eugene Smith (1922) | ||

## Branches of Mathematics / Geometry and Topology / Differential Geometry | |||

Introduction to Differential Geometry | π - Joel W. Robbin, Dietmar A. Salamon | ||

Notes on Differential Geometry and Lie Groups | π - Jean Gallier (University of Pennsylvania) | ||

Topics in Differential Geometry | π - Peter W. Michor | ||

Lectures on Differential Geometry | π - Wulf Rossmann | ||

An Introduction to Riemannian Geometry | π - Sigmundur Gudmundsson (Lund University) | ||

The Geometry and Topology of Three-Manifolds | π - W. Thurston | ||

Semi-Riemann Geometry and General Relativity | π - Shlomo Sternberg | ||

Discrete Differential Geometry | π - Keenan Crane | ||

## Branches of Mathematics / Geometry and Topology / Algebraic Geometry | |||

A Brief Introduction to Algebraic Geometry | π - R.C. Churchill | ||

Introduction to Algebraic Geometry | π - Igor V. Dolgachev | ||

Foundations of Algebraic Geometry | π - Ravi Vakil | ||

Algebraic Geometry | π - Jean Gallier, Stephen S. Shatz (University of Pennsylvania) | ||

Algebraic Geometry | π - J.S. Milne | ||

Algebraic Geometry | π - Andreas Gathmann (University of Kaiserslautern) | ||

The Stacks Project | π - Maintained by Aise Johan de Jong (Columbia) | ||

## Branches of Mathematics / Geometry and Topology / Algebraic Statistics | |||

Lectures on Algebraic Statistics | π - Mathias Drton, Bernd Sturmfels, Seth Sullivant | ||

An Introduction to Algebraic Statistics | π - Cristiano Bocci, Luca Chiantini and Anthony V. Geramita | ||

Algebraic Statistics | π - Karl-Heinz Zimmermann | ||

Algebraic Statistics for Computational Biology | π - Pachter, and Sturmfels | ||

## Branches of Mathematics / Geometry and Topology / Topology | |||

Elementary Applied Topology | π - Robert Ghrist (UPenn) | ||

Introduction to Topology | π | ||

Introduction to Topology | π - Alex KΓΌronya | ||

Introductory Topology | π - Jim L. Brown | ||

General Topology | π - Pierre Schapira (Paris VI University) | ||

Elementary Topology Problem Textbook | π | ||

General Topology | π - Jesper M. MΓΈller | ||

Topology Topics | π | ||

## Branches of Mathematics / Geometry and Topology / Algebraic Topology | |||

Algebraic Topology | π - Allen Hatcher | ||

A Concise Course in Algebraic Topology | π - J. P. May | ||

Introduction to Algebraic Topology | π - Martin Cadek | ||

Algebra and Topology | π - Pierre Schapira (Paris VI University) | ||

Lecture Notes in Algebraic Topology | π - James F. Davis, Paul Kirk (Indiana University) | ||

Algebraic Topology | π - Michael Starbird | ||

Lecture Notes on Algebraic Topology | π - Jie Wu | ||

## Branches of Mathematics / Analysis / Real Analysis | |||

MIT OpenCourseWare Lectures on Calculus | π - G. Strang | ||

Elementary Calculus: An Approach Using Infinitesimals | π - Professor H. Jerome Keisler | ||

An Introduction to Real Analysis | π - John K. Hunter (University of California at Davis) | ||

Introduction to Real Analysis | π - William F. Trench (Trinity University, Texas) | ||

Basic Analysis: Introduction to Real Analysis | π - JiΕΓ Lebl | ||

Elementary Real Analysis | π - Thomson, Bruckner | ||

Lecture Notes in Real Analysis | π - Eric T. Sawyer (McMaster University) | ||

Real Analysis | π - C. McMullen | ||

Real Analysis for Graduate Students | π - Richard F. Bass | ||

Modern Real Analysis | π - William P. Ziemer (Indiana University) | ||

Mathematical Analysis Vol I | π - Elias Zakon | ||

Mathematical Analysis Vol II | π - Elias Zakon | ||

Advanced Calculus | π - Lynn Loomis, Schlomo Sternberg | ||

Analysis of Functions of a Single Variable | π - Lawerence Baggett | ||

The Calculus of Functions of Several Variables | π - Dan Sloughter | ||

A ProblemText in Advanced Calculus | π - John M. Erdman | ||

Calculus and Linear Algebra. Vol. 1 | π - Wilfred Kaplan, Donald J. Lewis | ||

Calculus and Linear Algebra. Vol. 2 | π - Wilfred Kaplan, Donald J. Lewis | ||

Introduction to Calculus I and II | π - J.H. Heinbockel | ||

Active Calculus | π - Matt Boelkins | ||

Supplements to the Exercises in Chapters 1-7 of Walter Rudin's "Principles of Mathematical Analysis" | π - George M. Bergman | ||

Calculus Made Easy | π - Silvanus P. Thompson (1910) | ||

Elements of Differential and Integral Calculus | π - William Anthony Granville (1911) | ||

Precalculus | π - Carl Stitz, Jeff Zeager | ||

## Branches of Mathematics / Analysis / Harmonic Analysis | |||

Harmonic Analysis Lecture Notes | π - Richard S. Laugesen (University of Illinois at UrbanaβChampaign) | ||

Harmonic Analysis | π - W. Schlag | ||

Lecture Notes: Fourier Transform and its Applications | π - Brad Osgood | ||

Fourier Analysis | π - Lucas Illing | ||

Mathematics of the Discrete Fourier Transform (DFT) with Audio Applications | π - Julius O. Smith III (Stanford University) | ||

## Branches of Mathematics / Analysis / Complex Analysis | |||

Introduction to Complex Analysis | π - Michael Taylor | ||

An Introduction to Complex Analysis and Geometry | π - John P. D'Angelo (University of Illinois) | ||

A First Course in Complex Analysis | π - Matthias Beck, Gerald Marchesi, Dennis Pixton, Lucas Sabalka | ||

A Guide to Complex Variables | π - Steven G. Krantz | ||

Complex Analysis | π - Charles Walkden | ||

Complex Analysis | π - Christian Berg | ||

Complex Variables | π - R. B. Ash, W.P. Novinger | ||

Complex Analysis | π - Christer Bennewitz | ||

Complex Analysis | π - Donald E. Marshall | ||

A Concise Course in Complex Analysis and Riemann Surfaces | π - Wilhelm Schlag | ||

Complex Analysis | π - G. Cain (Georgia Tech) | ||

Complex Analysis | π - Juan Carlos Ponce Campuzano | ||

## Branches of Mathematics / Analysis / Functional Analysis | |||

An Introduction to Functional Analysis | π - Laurent W. Marcoux (University of Waterloo) | ||

Functional Analysis: Lecture Notes | π - Jeff Schenker (Michigan State University) | ||

Functional Analysis Lecture Notes | π - T.B. Ward (University of East Anglia) | ||

Functional Analysis | π - Alexander C. R. Belton | ||

Topics in Real and Functional Analysis | π - Gerald Teschl | ||

Functional Analysis | π - Christian Remling | ||

Theory of Functions of a Real Variable | π - Shlomo Sternberg | ||

Functional Analysis | π - Lawerence Baggett | ||

## Branches of Mathematics / Analysis / Measure Theory | |||

An Introduction to Measure Theory | π - Terence Tao (UCLA) | ||

Lecture Notes on Measure Theory and Functional Analysis | π - P. Cannarsa, T. DβAprile | ||

Lecture Notes in Measure Theory | π - Christer Borell | ||

A Crash Course on the Lebesgue Integral and Measure Theory | π - Steve Cheng | ||

Measure Theory | π - John K. Hunter (University of California at Davis) | ||

Measure and Integration | π - Dietmar A. Salamon (ETH ZΓΌrich) | ||

Lecture notes: Measure Theory | π - Bruce K. Driver | ||

## Branches of Mathematics / Analysis / Ordinary Differential Equations | |||

Difference Equations To Differential Equations | π - Dan Sloughter | ||

Ordinary Differential Equation | π - Alexander Grigorian (University of Bielefeld) | ||

Ordinary Differential Equations: Lecture Notes | π - Eugen J. Ionascu | ||

Ordinary Differential Equations | π - Peter Philip | ||

Ordinary Differential Equations | π - Gabriel Nagy | ||

Ordinary Differential Equations and Dynamical Systems | π - Gerald Teschl | ||

Notes on Differential Equations | π - Bob Terrell | ||

Elementary Differential Equations | π - William F. Trench | ||

Elementary Differential Equations With Boundary Value Problems | π - William F. Trench | ||

Notes on Diffy Qs: Differential Equations for Engineers | π - JiΕΓ Lebl | ||

Differential Equations | π - H. B. Phillips (1922) | ||

## Branches of Mathematics / Analysis / Partial Differential Equations | |||

Notes on Partial Differential Equations | π - John K. Hunter (University of California at Davis) | ||

Partial Differential Equations: Lecture Notes | π - Erich Miersemann (Leipzig University) | ||

Linear Methods of Applied Mathematics | π - E. Harrell, J. Herod (Georgia Tech) | ||

## Branches of Mathematics / Probability and Statistics / Probability Theory | |||

Introduction to Probability | π - Charles M. Grinstead, J. Laurie Snell | ||

Introduction to Probability | π - Dimitri P. Bertsekas, John N. Tsitsiklis (MIT) | ||

A Short Introduction to Probability | π - Dirk P. Kroese (University of Queensland) | ||

Probability: Theory and Examples | π - Rick Durrett | ||

Probability and Statistics Cookbook | 2,245 | over 1 year ago | π - Matthias Vallentin (UC Berkeley) |

The Only Probability Cheatsheet You'll Ever Need | π - William Chen | ||

An Introduction to Probability and Random Processes | π - Gian-Carlo Rota, Kenneth Baclawski | ||

Foundations of Constructive Probability Theory | π - Yuen-Kwok Chan | ||

## Branches of Mathematics / Probability and Statistics / Statistics | |||

Lecture Notes on Statistical Theory | π - Ryan Martin (University of Illinois) | ||

Introduction to Statistics and Data Analysis for Physicists | π - Gerhard Bohm, GΓΌnter Zech | ||

Probability and Mathematical Statistics | π - Prasanna Sahoo (University of Louisville) | ||

Lectures on Statistics | π - William G. Faris | ||

Statistical Theory | π - Adolfo J. Rumbos | ||

Theory of Statistics | π - James E. Gentle (George Mason University) | ||

Theory of Statistics | π - Joseph C. Watkins (University of Arizona) | ||

Glossary of Data Modeling | π - AI Access | ||

Statistics Papers | π - 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 | π - Resource on practical statistics directed towards scientists and engineers | ||

Concepts and Applications of Inferential Statistics | π - Richard Lowry | ||

Rough set data analysis: A road to non-invasive knowledge discovery | π - Ivo DΓΌntsch, GΓΌnther Gediga | ||

Statistical Thinking for the 21st Century | π - Russell A. Poldrack | ||

Odds and Ends: Introducing Probability & Decision with a Visual Emphasis | π - Jonathan Weisberg | ||

Seeing Theory | π - Daniel Kunin, Jingru Guo, Tyler Dae Devlin, and Daniel Xiang | ||

Statistics Done Wrong | π - Alex Reinhart | ||

All of Statistics: A Concise Course in Statistical Inference | π - Larry Wasserman | ||

## Branches of Mathematics / Probability and Statistics / Statistical Learning | |||

An Introduction to Statistical Learning with Applications in R | π - Gareth James, Daniela Witten, Trevor Hastie, Robert Tibshirani | ||

The Elements of Statistical Learning | π - Trevor Hastie, Robert Tibshirani, Jerome Friedman | ||

Statistical Learning Theory | π - Percy Liang | ||

Reinforcement Learning: An Introduction | π - Richard S. Sutton, Andrew G. Barto | ||

## Branches of Mathematics / Probability and Statistics / Stochastic processes | |||

Lectures on Stochastic Processes | π - K. Ito (Tata Institute of Fundamental Research, Bombay) | ||

Probability and Stochastic Processes with Applications | π - Oliver Knill (Harvard University) | ||

Stochastic Processes | π - Amir Dembo (Stanford University) | ||

Lecture Notes on Stochastic Processes | π - Frank NoΓ©, Bettina Keller and Jan-Hendrik Prinz (Freie UniversitΓ€t Berlin) | ||

Introduction to Stochastic Processes - Lecture Notes | π - Gordan Ε½itkoviΔ (University of Texas) | ||

Applied Stochastic Processes in science and engineering | π - Matt Scott (University of Waterloo) | ||

An Introduction to Stochastic Processes in Continuous Time | π - Flora Spieksma (Leiden University) | ||

Markov Chains and Mixing Times | π - David A. Levin, Yuval Peres, Elizabeth L. Wilmer | ||

Convergence of Stochastic Processes | π - David Pollard | ||

## Branches of Mathematics / Numerical Analysis | |||

Introduction to Numerical Analysis | π - Doron Levy (University of Maryland) | ||

A Concise Introduction to Numerical Analysis | π - Douglas N. Arnold (University of Minnesota) | ||

Numerical Analysis | π - L. Ridgway Scott | ||

Lectures In Basic Computational Numerical Analysis | π - J. M. McDonough (University of Kentucky) | ||

Advanced Numerical Methods and Their Applications to Industrial Problems: Adaptive Finite Element Methods | π - Alfred Schmidt, Arsen Narimanyan | ||

Numerical Analysis for Engineers | π - Douglas Wilhelm Harder | ||

Advanced Linear Algebra: Foundations to Frontiers | ππ₯ - Robert van de Geijn, Margaret Myers (University of Texas at Austin) | ||

## Branches of Mathematics / Signal processing | |||

Introduction to Signal Processing | π - Sophocles J. Orfanidis (Rutgers University) | ||

Foundations of Signal Processing | π - Martin Vetterli, Jelena Kovacevic, Vivek K Goyal | ||

An Introduction to Statistical Signal Processing | π - Robert M. Gray, Lee D. Davisson | ||

Think DSP | π - Allen B. Downey | ||

Linear algebra, signal processing, and wavelets. A unified approach. | π - Γyvind Ryan (University of Oslo) | ||

## Branches of Mathematics / Mathematics for Computer Science | |||

Mathematics for Computer Science | π - Eric Lehman, F. Thomson Leighton, Albert R. Meyer | ||

Algorithms and Complexity | π - H. Wilf | ||

Lecture Notes on Optimization | π - Pravin Varaiya | ||

Information Theory, Inference, and Learning Algorithms | π - David J. C. MacKay | ||

The Chaos Textbook: Mathematics in the age of the computer | π - Glenn Elert | ||

## Branches of Mathematics / Mathematical Biology | |||

Mathematical Biology | π - Jeffrey Chasnov | ||

## Branches of Mathematics / Mathematical Physics | |||

Introduction to Continuum Mechanics | π - Ray. M. Bowen | ||

Mathematical Tools for Physics | π - James Nearing | ||

Mechanism of the Heavens (1831) | π - 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 | ||

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