awesome-math
Math resources
A curated collection of mathematics resources and tools for learning and exploration.
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) | ||
| Almost Fun | |||
| Oxford Mathematics | |||
| Math Academy | |||
General Resources / Learn to Learn | |||
| Understanding Mathematics | 1,076 | 12 months 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 | |||
| The Math Sorcerer | |||
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 | 341,306 | 11 months 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 | 543 | almost 2 years 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 | 2,250 | over 2 years 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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