[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"project-75848":3},{"id":4,"name":5,"fullName":6,"owner":7,"repo":5,"description":8,"homepage":9,"htmlUrl":10,"language":11,"languages":9,"totalLinesOfCode":9,"stars":12,"forks":13,"watchers":14,"openIssues":15,"contributorsCount":9,"subscribersCount":16,"size":16,"stars1d":17,"stars7d":18,"stars30d":19,"stars90d":16,"forks30d":16,"starsTrendScore":20,"compositeScore":21,"rankGlobal":9,"rankLanguage":9,"license":9,"archived":22,"fork":22,"defaultBranch":23,"hasWiki":22,"hasPages":22,"topics":24,"createdAt":9,"pushedAt":9,"updatedAt":30,"readmeContent":31,"aiSummary":32,"trendingCount":16,"starSnapshotCount":16,"syncStatus":33,"lastSyncTime":34,"discoverSource":35},75848,"awesome-math","rossant\u002Fawesome-math","rossant","A curated list of awesome mathematics resources",null,"https:\u002F\u002Fgithub.com\u002Frossant\u002Fawesome-math","Python",15450,1518,276,10,0,24,49,247,72,116.54,false,"main",[25,26,27,28,29],"awesome-list","mathematics","awesome","lecture-notes","list","2026-06-12 04:01:19","# Awesome Math [![Awesome](https:\u002F\u002Fcdn.rawgit.com\u002Fsindresorhus\u002Fawesome\u002Fd7305f38d29fed78fa85652e3a63e154dd8e8829\u002Fmedia\u002Fbadge.svg)](https:\u002F\u002Fgithub.com\u002Fsindresorhus\u002Fawesome)\n\nA curated list of awesome mathematics resources.\n\nAll resources are freely available except those with a 💲 icon.\n\n# Contents\n\n\u003C!-- START_TOC -->\n\n* [Contents](#contents)\n* [General Resources](#general-resources)\n    * [Learning Platforms](#learning-platforms)\n    * [Learn to Learn](#learn-to-learn)\n    * [Youtube Series](#youtube-series)\n    * [Tools](#tools)\n    * [Questions and Answers](#questions-and-answers)\n    * [Encyclopedia](#encyclopedia)\n    * [Books](#books)\n    * [Magazines](#magazines)\n    * [Blogs](#blogs)\n    * [Meetings and Conferences](#meetings-and-conferences)\n    * [Misc](#misc)\n* [Branches of Mathematics](#branches-of-mathematics)\n    * [Foundations of Mathematics](#foundations-of-mathematics)\n        * [Transition To Pure Rigour Math](#transition-to-pure-rigour-math)\n        * [Set Theory](#set-theory)\n        * [Logic](#logic)\n        * [Category Theory](#category-theory)\n        * [Type Theory](#type-theory)\n        * [Homotopy Type Theory](#homotopy-type-theory)\n        * [Surreal Numbers](#surreal-numbers)\n    * [Number Theory](#number-theory)\n        * [Algebraic Number Theory](#algebraic-number-theory)\n        * [Analytic Number Theory](#analytic-number-theory)\n    * [Algebra](#algebra)\n        * [Abstract Algebra](#abstract-algebra)\n        * [Group Theory](#group-theory)\n        * [Linear Algebra](#linear-algebra)\n        * [Ring Theory](#ring-theory)\n        * [Galois Theory](#galois-theory)\n        * [Lie Algebras](#lie-algebras)\n    * [Combinatorics](#combinatorics)\n        * [Graph Theory](#graph-theory)\n    * [Geometry and Topology](#geometry-and-topology)\n        * [Differential Geometry](#differential-geometry)\n        * [Algebraic Geometry](#algebraic-geometry)\n        * [Algebraic Statistics](#algebraic-statistics)\n        * [Topology](#topology)\n        * [Algebraic Topology](#algebraic-topology)\n    * [Analysis](#analysis)\n        * [Real Analysis](#real-analysis)\n        * [Harmonic Analysis](#harmonic-analysis)\n        * [Complex Analysis](#complex-analysis)\n        * [Functional Analysis](#functional-analysis)\n        * [Measure Theory](#measure-theory)\n        * [Ordinary Differential Equations](#ordinary-differential-equations)\n        * [Partial Differential Equations](#partial-differential-equations)\n        * [Chaos Theory](#chaos-theory)\n    * [Probability and Statistics](#probability-and-statistics)\n        * [Probability Theory](#probability-theory)\n        * [Statistics](#statistics)\n        * [Statistical Learning](#statistical-learning)\n        * [Stochastic processes](#stochastic-processes)\n    * [Numerical Analysis](#numerical-analysis)\n    * [Signal processing](#signal-processing)\n    * [Mathematics for Computer Science](#mathematics-for-computer-science)\n    * [Mathematical Biology](#mathematical-biology)\n    * [Mathematical Physics](#mathematical-physics)\n* [Students Lecture Notes](#students-lecture-notes)\n* [Related Awesome Lists](#related-awesome-lists)\n* [License](#license)\n\n\u003C!-- END_TOC -->\n\n# General Resources\n\n## Learning Platforms\n\n* [Khan Academy](https:\u002F\u002Fwww.khanacademy.org\u002Fmath)\n* [Coursera](https:\u002F\u002Fwww.coursera.org\u002Fcourses?query=mathematics&languages=en)\n* [MIT OpenCourseWare](http:\u002F\u002Focw.mit.edu\u002Fcourses\u002Fmathematics\u002F)\n* [edX](https:\u002F\u002Fwww.edx.org\u002Fcourse\u002Fsubject\u002Fmath)\n* [Brilliant](https:\u002F\u002Fbrilliant.org\u002Fcourses\u002F#math-foundational)\n* [WooTube](https:\u002F\u002Fmisterwootube.com\u002F)\n* [Mathigon](https:\u002F\u002Fmathigon.org\u002F)\n* [Calculus.org](http:\u002F\u002Fcalculus.org\u002F)\n* [Ximera](https:\u002F\u002Fximera.osu.edu\u002F) : free interactive mathematics textbooks (Ohio State University)\n* [Almost Fun](https:\u002F\u002Fwww.almostfun.org\u002Flessons\u002F)\n* [Oxford Mathematics](https:\u002F\u002Fwww.youtube.com\u002Fc\u002FOxfordMathematics)\n* [Math Academy](https:\u002F\u002Fmathacademy.com\u002F)\n* [Derivative Calculus Solver](https:\u002F\u002Fwww.derivativecalculus.com) — A step-by-step differentiation tool focusing on the chain rule and substitution logic.\n\n## Learn to Learn\n\n* [Understanding Mathematics](https:\u002F\u002Fgithub.com\u002Fnelson-brochado\u002Funderstanding-math)\n\n## Youtube Series\n\n* [Brandon Foltz](https:\u002F\u002Fwww.youtube.com\u002F@BrandonFoltz)\n* [StatQuest](https:\u002F\u002Fwww.youtube.com\u002Fchannel\u002FUCtYLUTtgS3k1Fg4y5tAhLbw)\n* [3Blue1Brown](https:\u002F\u002Fwww.youtube.com\u002F@3blue1brown)\n* [NPTEL](https:\u002F\u002Fwww.youtube.com\u002F@iit)\n* [Numberphile](https:\u002F\u002Fwww.youtube.com\u002F@numberphile)\n* [PatrickJMT](https:\u002F\u002Fwww.youtube.com\u002F@patrickjmt)\n* [Professor Leonard](https:\u002F\u002Fwww.youtube.com\u002F@ProfessorLeonard)\n  * [Precalculus - College Algebra\u002FTrigonometry](https:\u002F\u002Fwww.youtube.com\u002Fplaylist?list=PLDesaqWTN6ESsmwELdrzhcGiRhk5DjwLP)\n  * [Calculus 1](https:\u002F\u002Fwww.youtube.com\u002Fplaylist?list=PLF797E961509B4EB5)\n  * [Calculus 2](https:\u002F\u002Fwww.youtube.com\u002Fplaylist?list=PLDesaqWTN6EQ2J4vgsN1HyBeRADEh4Cw-)\n  * [Calculus 3](https:\u002F\u002Fwww.youtube.com\u002Fplaylist?list=PLDesaqWTN6ESk16YRmzuJ8f6-rnuy0Ry7)\n  * [Differential Equations](https:\u002F\u002Fwww.youtube.com\u002Fplaylist?list=PLDesaqWTN6ESPaHy2QUKVaXNZuQNxkYQ_)\n  * [To The Point Math](https:\u002F\u002Fwww.youtube.com\u002Fplaylist?list=PLDesaqWTN6ETc1ZwHWijCBcZ2gOvS2tTN)\n* [Crash Course](https:\u002F\u002Fwww.youtube.com\u002F@crashcourse)\n* [Harvard](https:\u002F\u002Fwww.youtube.com\u002F@harvard)\n* [MIT OpenCourseWare](https:\u002F\u002Fwww.youtube.com\u002F@mitocw)\n* [Mathologer](https:\u002F\u002Fwww.youtube.com\u002F@Mathologer)\n* [The Math District](https:\u002F\u002Fwww.youtube.com\u002F@TheMathDistrict)\n* [Mathematical Monk](https:\u002F\u002Fwww.youtube.com\u002F@mathematicalmonk)\n* [The Math Sorcerer](https:\u002F\u002Fwww.youtube.com\u002F@TheMathSorcerer)\n\n## Tools\n\n* [Symbolab](https:\u002F\u002Fwww.symbolab.com\u002F)\n* [Desmos](https:\u002F\u002Fwww.desmos.com\u002Fcalculator)\n* [Math Words](http:\u002F\u002Fwww.mathwords.com\u002F)\n* [Wolfram Alpha](http:\u002F\u002Fwww.wolframalpha.com\u002F)\n* [Maxima](https:\u002F\u002Fmaxima.sourceforge.io\u002F)\n* [Sympy](https:\u002F\u002Fwww.sympy.org\u002F)\n* [Sagemath](http:\u002F\u002Fwww.sagemath.org\u002F)\n* [MathFlow](https:\u002F\u002Fgithub.com\u002FNonanti\u002FMathFlow) - C# math expression library with symbolic computation (differentiation, simplification, equation solving)\n* [Unit Converter](https:\u002F\u002Funitconverters.net)\n* [GeoGebra](https:\u002F\u002Fwww.geogebra.org\u002F?lang=en)\n* [Macaulay2](http:\u002F\u002Fwww2.macaulay2.com\u002FMacaulay2\u002F)\n* [Singular](https:\u002F\u002Fwww.singular.uni-kl.de\u002F)\n* [GNU Octave](https:\u002F\u002Fwww.gnu.org\u002Fsoftware\u002Foctave\u002F)\n* [Magma](http:\u002F\u002Fmagma.maths.usyd.edu.au\u002Fmagma\u002F)\n* [Maple](https:\u002F\u002Fwww.maplesoft.com\u002Fproducts\u002FMaple\u002F)\n* [Matlab](https:\u002F\u002Fwww.mathworks.com\u002Fproducts\u002Fmatlab.html)\n* [Wolfram Mathematica](https:\u002F\u002Fwww.wolfram.com\u002Fmathematica\u002F)\n* [Free Math](https:\u002F\u002Ffreemathapp.org)\n* [xhub](https:\u002F\u002Fchrome.google.com\u002Fwebstore\u002Fdetail\u002Fxhub\u002Fanidddebgkllnnnnjfkmjcaallemhjee)\n* [CopyPasteMathjax](https:\u002F\u002Fwww.copypastemathjax.com\u002F)\n* [Finance calculators](https:\u002F\u002Fwww.financecharts.com\u002Fpages\u002F5724-retirement-calculators-and-stock-market-tips)\n* [Mathcheap](https:\u002F\u002Fmathcheap.xyz)\n* [Midpoint Calculator](https:\u002F\u002Fmidpointcalculator.co)\n* [Quartiles Calculator](https:\u002F\u002Fquartilecalculator.net)\n* [Corca Editor](https:\u002F\u002Fcorca.io\u002F)\n* [RunMat](https:\u002F\u002Fgithub.com\u002Frunmat-org\u002Frunmat) - Runtime for MATLAB-syntax array math with automatic CPU\u002FGPU execution.\n* [Structural Engineering Tools (SEPCO Engineering)](https:\u002F\u002Fgithub.com\u002Fsepcostructural\u002Fstructural-engineering-tools) - Free online calculators for beam diagrams, Canadian steel section properties, and pressure conversions.\n\n\n## Questions and Answers\n\n* [Mathematics Stack Exchange](http:\u002F\u002Fmath.stackexchange.com\u002F)\n* [MathOverflow](http:\u002F\u002Fmathoverflow.net\u002F) - for professional mathematicians\n\n## Encyclopedia\n\n* [Encyclopedia of Mathematics](https:\u002F\u002Fwww.encyclopediaofmath.org)\n* [Planetmath](http:\u002F\u002Fplanetmath.org\u002F)\n* [ProofWiki](https:\u002F\u002Fproofwiki.org\u002Fwiki\u002FMain_Page)\n* [Wolfram Mathworld](http:\u002F\u002Fmathworld.wolfram.com\u002F)\n* [The On-Line Encyclopedia of Integer Sequences](https:\u002F\u002Foeis.org) - Great compendium of many different integer sequences. Founded 1964 by N. J. A. Sloane.\n* 💲 [The Princeton Companion to Mathematics](https:\u002F\u002Fpress.princeton.edu\u002Fbooks\u002Fhardcover\u002F9780691118802\u002Fthe-princeton-companion-to-mathematics) - Timothy Gowers (Professor, Fields medallist), June Barrow-Green (Professor), and Imre Leader (Professor).\n* 💲 [Encyclopedia of Distances (4th Edition)](https:\u002F\u002Flink.springer.com\u002Fbook\u002F10.1007\u002F978-3-662-52844-0) - Michel Marie Deza, Elena Deza.\n\n## Books\n\n* [Calculus: Basic Concepts for High Schools](https:\u002F\u002Farchive.org\u002Fdetails\u002FTarasovCalculus) - L.V. Tarasov\n* [Basics of Algebra, Topology, and Differential Calculus](http:\u002F\u002Fwww.cis.upenn.edu\u002F~jean\u002Fmath-basics.pdf) - Jean Gallier (University of Pennsylvania)\n* [Multivariable Calculus](http:\u002F\u002Fpeople.math.gatech.edu\u002F%7Ecain\u002Fnotes\u002Fcalculus.html) - G. Cain, J. Herod (Georgia Tech)\n* [Wikibooks](https:\u002F\u002Fen.wikibooks.org\u002Fwiki\u002FWikibooks:Mathematics_bookshelf)\n* [Online Mathematics Textbooks](https:\u002F\u002Fpeople.math.gatech.edu\u002F~cain\u002Ftextbooks\u002Fonlinebooks.html)\n* [Beginning and Intermediate Algebra](http:\u002F\u002Fwww.wallace.ccfaculty.org\u002Fbook\u002FBeginning_and_Intermediate_Algebra.pdf)\n* [Free Mathematics Books](https:\u002F\u002Fgithub.com\u002FEbookFoundation\u002Ffree-programming-books\u002Fblob\u002Fmaster\u002Fbooks\u002Ffree-programming-books-subjects.md#mathematics)\n* [Trigonometry](http:\u002F\u002Fwww.mecmath.net\u002Ftrig\u002Ftrigbook.pdf)\n* [Math for Frontend Web Dev](https:\u002F\u002Fwww.manning.com\u002Fbooks\u002Fmath-for-frontend-web-dev)\n* [Grokking Statistics](https:\u002F\u002Fwww.manning.com\u002Fbooks\u002Fgrokking-statistics)\n* [The Math Behind Artificial Intelligence](https:\u002F\u002Fwww.freecodecamp.org\u002Fnews\u002Fthe-math-behind-artificial-intelligence-book) - Tiago Capelo Monteiro (freeCodeCamp)\n\n\n## Magazines\n\n* [Quanta Magazine](https:\u002F\u002Fwww.quantamagazine.org\u002Fmathematics\u002F) - Features latest research breakthroughs in an accessible style for non-experts.\n* [Bulletin of the American Mathematical Society](https:\u002F\u002Fwww.ams.org\u002Fjournals\u002Fbull\u002Fall_issues.html) - Expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic.\n* [Notices of the American Mathematical Society](http:\u002F\u002Fwww.ams.org\u002Fcgi-bin\u002Fnotices\u002Famsnotices.pl?article_id=fullissue&article_type=gallery&gallery_type=fullissue) - Publicizes activities of the Society and features surveys, reports, news, announcements, and opinions on industry trends, academia, and research.\n* [European Mathematical Society Magazine](https:\u002F\u002Feuromathsoc.org\u002Fmagazine) - The Magazine features announcements about meetings and conferences, articles outlining current trends in scientific development, reports on member societies, and many other informational items.\n* [Mathematics Today by Institute of Mathematics and its Applications](https:\u002F\u002Fima.org.uk\u002Fpublications\u002Fmathematics-today\u002F) - News, opinions, and articles related to mathematics, so the reader stays updated.\n* [Crux Mathematicorum by Canadian Mathematical Society](https:\u002F\u002Fcms.math.ca\u002Fpublications\u002Fcrux\u002F) - 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.\n\n## Blogs\n\n* [BetterExplained](https:\u002F\u002Fbetterexplained.com\u002F) - Maintained by Kalid Azad\n* [ILoveMaths](http:\u002F\u002Filovemaths.com\u002F) - For grades 6 thru 12 in K-12 system\n* [3blue1brown](https:\u002F\u002Fwww.3blue1brown.com\u002F) - Animated Maths\n* [Mathsisfun](https:\u002F\u002Fwww.mathsisfun.com) simple text lightweight site for students up to highschool\n* [MathematicsIsAScience](https:\u002F\u002Fcalculus123.com\u002Fwiki\u002FPeter_Saveliev) - Peter Saveliev (Professor of mathematics at Marshall University, Huntington WV, USA)\n\n## Meetings and Conferences\n\n* [MathsJam](https:\u002F\u002Fmathsjam.com\u002F) - monthly local recreational maths\u002Fpuzzle meetups and an annual gathering in Staffordshire, England\n* [Talking Maths in Public](https:\u002F\u002Ftalkingmathsinpublic.uk\u002F) - a conference for maths communicators, running every two years, usually in the UK\n* [Bridges](https:\u002F\u002Fwww.bridgesmathart.org\u002F) - an annual conference on mathematical connections in art, music, architecture, and culture. The 2025 meeting is in Eindhoven, Netherlands.\n\n## Misc\n* [Areas of mathematics on Wikipedia](https:\u002F\u002Fen.wikipedia.org\u002Fwiki\u002FAreas_of_mathematics)\n* [Paul's Online Math Notes](http:\u002F\u002Ftutorial.math.lamar.edu\u002F) - Paul Dawkins (Lamar University)\n* [List of electronic textbooks](http:\u002F\u002Ffaculty.atu.edu\u002Fmfinan\u002Fnnotes.html) - Marcel B. Finan (Arkansas Tech University)\n* [Topology Atlas](http:\u002F\u002Fat.yorku.ca\u002Ftopology\u002F)\n* [Recreations in Math](http:\u002F\u002Fdjm.cc\u002Flibrary\u002FRecreations_in_Mathematics_Licks_edited.pdf) - H. E. Licks (1917)\n* [Magic Squares and Cubes](http:\u002F\u002Fdjm.cc\u002Flibrary\u002FMagic_Squares_Cubes_Andrews_edited.pdf) - W. S. Andrews (1917)\n* [Convex Optimization](https:\u002F\u002Fweb.stanford.edu\u002F~boyd\u002Fcvxbook\u002F) - Stephen Boyd and Lieven Vandenberghe\n* [Fabrice Baudoin's Notes](https:\u002F\u002Ffabricebaudoin.wordpress.com\u002F) - Both research and lecture notes on many topics, Including Diffusions on foliated manifold, Stochastic Calculus, Global analysis in Dirichlet spaces, and more.\n\n# Branches of Mathematics\n\n**Content Format** \\\n📖 Books \\\n🎥 Videos \\\n📝 Lecture notes, slides, articles, papers\n\n## Foundations of Mathematics\n### Transition To Pure Rigour Math\n* 📝 [Basic Concepts of Mathematics](http:\u002F\u002Fwww.trillia.com\u002Fzakon1.html) - Elias Zakon\n* 📝 [Book of Proof](https:\u002F\u002Frichardhammack.github.io\u002FBookOfProof\u002F) - Richard Hammak (Virginia Commonwealth University)\n* 📖 [How to Prove It: A Structured Approach (3rd Edition)](https:\u002F\u002Fia800501.us.archive.org\u002F7\u002Fitems\u002Fhow-to-prove-it-a-structured-approach-daniel-j.-velleman\u002FHow%20to%20Prove%20It%20A%20Structured%20Approach%20%28Daniel%20J.%20Velleman%29.pdf) - Daniel J. Velleman (Professor).\n\n### Set Theory\n\n* 📝 [Sets, Relations, Functions](http:\u002F\u002Fwww.cosc.brocku.ca\u002F~duentsch\u002Fpapers\u002Fmethprimer1.html) - Ivo Düntsch, Günther Gediga\n* 📝 [An Introduction to Set Theory](http:\u002F\u002Fwww.math.toronto.edu\u002Fweiss\u002Fset_theory.pdf) - William A. R. Weiss\n* 📝 [Set Theory and Foundations of Mathematics](http:\u002F\u002Fwww.settheory.net\u002F) - Sylvain Poirier\n* 📝 [Set Theory on the Stanford Encyclopedia of Philosophy](http:\u002F\u002Fplato.stanford.edu\u002Fentries\u002Fset-theory\u002F)\n\n### Logic\n\n* 📝 [Introduction to Logic](https:\u002F\u002Fpdfs.semanticscholar.org\u002F6967\u002Ff52773d9c2ccfc94658657a5761e0f00e95a.pdf) - Michael Genesereth, Eric Kao (Stanford University)\n* 📝 [An Introduction to Formal Logic](https:\u002F\u002Fwww.fecundity.com\u002Fcodex\u002Fforallx.pdf) - P.D. Magnus (University at Albany)\n* 📝 [A Problem Course in Mathematical Logic](http:\u002F\u002Feuclid.trentu.ca\u002Fmath\u002Fsb\u002Fpcml\u002Fpcml-16.pdf) - Stefan Bilaniuk (Trent University)\n* 📝 [Computability - An introduction to recursive function theory](http:\u002F\u002Fpoincare.matf.bg.ac.rs\u002F~zarkom\u002FBook_Math__Cutland_Computability.pdf) - Nigel Cutland (University of Hull)\n* 📝 [Language, Proof, and Logic](http:\u002F\u002Fhomepages.uc.edu\u002F~martinj\u002FSymbolic_Logic\u002F341%20Syllabus,%20Textbook,%20Handouts,%20Notes\u002FLPL%20textbook.pdf) - Jon Barwise, John Etchemendy\n* 📝 [Mathematical Logic](http:\u002F\u002Fwww.mathematik.uni-muenchen.de\u002F~schwicht\u002Flectures\u002Flogic\u002Fws03\u002Fml.pdf) - Helmut Schwichtenberg\n* 📝 [Mathematical Logic](http:\u002F\u002Fwww.personal.psu.edu\u002Ft20\u002Fnotes\u002Flogic.pdf) - Stephen G. Simpson (Pennsylvania State University)\n* 📝 [Formal Logic](http:\u002F\u002Fmaude.sip.ucm.es\u002F~miguelpt\u002Fpapers\u002Fflogic.pdf) - Miguel Palomino\n* 📝 [Predictive Arithmetic](https:\u002F\u002Fweb.math.princeton.edu\u002F~nelson\u002Fbooks\u002Fpa.pdf) - Edward Nelson\n* 📝 [Proofs and Concepts: the fundamentals of abstract mathematics](http:\u002F\u002Fpeople.uleth.ca\u002F~dave.morris\u002Fbooks\u002Fproofs+concepts.html) - Joy Morris, Dave Morris\n* 📝 [Mathematical Reasoning: Writing and Proof](https:\u002F\u002Fwww.tedsundstrom.com\u002Fmathreasoning) - Ted Sundstrom\n* 📝 [Logic and Proof](http:\u002F\u002Fleanprover.github.io\u002Flogic_and_proof\u002F) -  Jeremy Avigad, Robert Y. Lewis, and Floris van Doorn\n* 📝 [QED - an interactive textbook](https:\u002F\u002Fteorth.github.io\u002FQED) - Terence Tao\n* 📝 [Open Logic Textbook](http:\u002F\u002Fbuilds.openlogicproject.org\u002F) - collaborative effort, main contributors listed [here](https:\u002F\u002Fopenlogicproject.org\u002Fpeople\u002F)\n\n### Category Theory\n\n* 📝 [Introduction to Category Theory and Categorical Logic](http:\u002F\u002Fwww.mathematik.tu-darmstadt.de\u002F~streicher\u002FCTCL.pdf) - Thomas Streicher\n* 📝 [An Introduction to Category Theory](http:\u002F\u002Fwww.cs.man.ac.uk\u002F~hsimmons\u002FzCATS.pdf) - Harold Simmons\n* 📝 [Category Theory](http:\u002F\u002Fciteseerx.ist.psu.edu\u002Fviewdoc\u002Fdownload?doi=10.1.1.211.4754&rep=rep1&type=pdf) - Steve Awodey (Carnegie Mellon University)\n* 📝 [Category Theory](http:\u002F\u002Fwww.mathematik.uni-muenchen.de\u002F~pareigis\u002FVorlesungen\u002F04SS\u002FCats1.pdf) - B. Pareigis\n* 📝 [Category Theory for Computing Science](https:\u002F\u002Fweb.archive.org\u002Fweb\u002F20181221233252\u002Fhttp:\u002F\u002Fwww.math.mcgill.ca\u002Ftriples\u002FBarr-Wells-ctcs.pdf) - Michael Barr, Charles Wells\n* 📝 [Toposes, Triples and Theories](http:\u002F\u002Fwww.tac.mta.ca\u002Ftac\u002Freprints\u002Farticles\u002F12\u002Ftr12.pdf) - Michael Barr, Charles Wells\n* 📝 [Abelian Categories](http:\u002F\u002Fwww.tac.mta.ca\u002Ftac\u002Freprints\u002Farticles\u002F3\u002Ftr3abs.html) - Peter Freyd\n* 📝 [Categories and Groupoids](http:\u002F\u002Fwww.tac.mta.ca\u002Ftac\u002Freprints\u002Farticles\u002F7\u002Ftr7abs.html) - P. J. Higgins\n* 📝 [Basic Concepts of Enriched Category Theory](http:\u002F\u002Fwww.tac.mta.ca\u002Ftac\u002Freprints\u002Farticles\u002F10\u002Ftr10abs.html) - G. M. Kelley\n* 📝 [Abstract and Concrete Categories: The Joy of Cats](http:\u002F\u002Fwww.tac.mta.ca\u002Ftac\u002Freprints\u002Farticles\u002F17\u002Ftr17abs.html) - Jiri Adamek, Horst Herrlich, George Strecker\n* 📝 [Seven Sketches in Compositionality: An Invitation to Applied Category Theory](http:\u002F\u002Fmath.mit.edu\u002F~dspivak\u002Fteaching\u002Fsp18\u002F7Sketches.pdf) - Brendan Fong and David I. Spivak (MIT)\n* 📝 [Category Theory in Context](http:\u002F\u002Fwww.math.jhu.edu\u002F~eriehl\u002Fcontext\u002F) - Emily Riehl (John Hopkins University)\n\n### Type Theory\n* 📝 [Proofs and Types](http:\u002F\u002Fwww.paultaylor.eu\u002Fstable\u002Fprot.pdf) - Jean-Yves Girard\n* 📝 [Intuitionistic Type Theory](https:\u002F\u002Farchive-pml.github.io\u002Fmartin-lof\u002Fpdfs\u002FBibliopolis-Book-retypeset-1984.pdf) - Per Martin-Lof\n* 📝 [Type Theory and Functional Programming](https:\u002F\u002Fwww.cs.kent.ac.uk\u002Fpeople\u002Fstaff\u002Fsjt\u002FTTFP\u002F) - Simon Thompson\n* 📝 [Programming in Martin-Lof’s Type Theory](http:\u002F\u002Fwww.cse.chalmers.se\u002Fresearch\u002Fgroup\u002Flogic\u002Fbook\u002Fbook.pdf) - Bengt Nordstrom, Kent Petersson, Jan M. Smith\n\n### Homotopy Type Theory\n\n* 📝 [Homotopy Type Theory](https:\u002F\u002Fhottheory.files.wordpress.com\u002F2013\u002F03\u002Fhott-online-611-ga1a258c.pdf)\n\n### Surreal Numbers\n\n* 📝 [Surreal Numbers - How two ex-students turned on to pure mathematics and found total happiness](http:\u002F\u002Fwww.math.harvard.edu\u002F~knill\u002Fteaching\u002Fmathe320_2015_fall\u002Fblog15\u002Fsurreal1.pdf) - D. E. Knuth\n* 📝 [Surreal Numbers and Games](http:\u002F\u002Fweb.mit.edu\u002Fsp.268\u002Fwww\u002F2010\u002Fsurreal.pdf)\n* 📝 [Conway names, the simplicity hierarchy and the surreal number tree](http:\u002F\u002Fwww.ohio.edu\u002Fpeople\u002Fehrlich\u002FConwayNames.pdf) - Philip Ehrlich\n\n\n## Number Theory\n\n* 📝 [Elementary Number Theory: Primes, Congruences, and Secrets](http:\u002F\u002Fwstein.org\u002Fent\u002Fent.pdf) - William Stein\n* 📝 [Elementary Number Theory](http:\u002F\u002Fmath.utoledo.edu\u002F~codenth\u002FSpring_13\u002F3200\u002FENT-books\u002FElementary_Number_Theory-Clark.pdf) - W. Edwin Clark (University of South Florida)\n* 📝 [A Course on Number Theory](http:\u002F\u002Fwww.maths.qmul.ac.uk\u002F~pjc\u002Fnotes\u002Fnt.pdf) - Peter J. Cameron\n* 📝 [A Computational Introduction to Number Theory and Algebra](http:\u002F\u002Fshoup.net\u002Fntb\u002Fntb-v2.pdf) - Victor Shoup\n* 📝 [Number Theory: A Contemporary Introduction](http:\u002F\u002Falpha.math.uga.edu\u002F~pete\u002F4400FULL.pdf) - Pete L. Clark\n* 📝 [An Introduction to the Theory of Numbers](http:\u002F\u002Fwww.trillia.com\u002Fmoser-number.html) - Leo Moser\n* 📝 [Yet Another Introductory Number Theory Textbook](https:\u002F\u002Fwww.poritz.net\u002Fjonathan\u002Fshare\u002Fyaintt\u002F) - Jonathan A. Poritz\n\n### Algebraic Number Theory\n\n* 📝 [Introduction to Algebraic Number Theory](https:\u002F\u002Ffeog.github.io\u002FANT10.pdf) - F. Oggier\n* 📝 [Algebraic Number Theory](http:\u002F\u002Fwww.jmilne.org\u002Fmath\u002FCourseNotes\u002FANT.pdf) - J.S. Milne\n* 📝 [Algebraic Number Theory Course Notes](http:\u002F\u002Fpeople.math.gatech.edu\u002F~mbaker\u002Fpdf\u002FANTBook.pdf) - Matthew Baker (Georgia Tech)\n* 📝 [A Course In Algebraic Number Theory](http:\u002F\u002Fwww.math.uiuc.edu\u002F~r-ash\u002FANT.html) - Robert Ash\n\n### Analytic Number Theory\n\n* 📝 [Introduction to Analytic Number Theory](http:\u002F\u002Fwww.math.uiuc.edu\u002F~hildebr\u002Fant\u002Fmain.pdf) - A.J. Hildebrand (University of Illinois)\n* 📝 [Elements of Analytic Number Theory](http:\u002F\u002Fmath.nsc.ru\u002F~vdovin\u002Flectures\u002Fnumth_eng.pdf) - P. S. Kolesnikov, E. P. Vdovin (Novosibirsk)\n* 📝 [Analytic Number Theory](http:\u002F\u002Fwww.mathematik.uni-muenchen.de\u002F~forster\u002Fv\u002Fann\u002Fannth_all.pdf) - Otto Forster (LMU Munich)\n* 📝 [Analytic Number Theory - Lecture Notes based on Davenport’s book](http:\u002F\u002Fwww2.math.uu.se\u002F~astrombe\u002Fanaltalt08\u002Fwww_notes.pdf) - Andreas Strömbergsson\n\n\n## Algebra\n\n* 📝 [A Course in Universal Algebra](http:\u002F\u002Fwww.math.uwaterloo.ca\u002F~snburris\u002Fhtdocs\u002Fualg.html) - S. Burris, H.P. Sankappanavar\n* 📝 [A Course in Commutative Algebra](https:\u002F\u002Ffaculty.math.illinois.edu\u002F~r-ash\u002FComAlg.html) - Robert Ash\n* 📝 [First Course in Algebra](http:\u002F\u002Fdjm.cc\u002Flibrary\u002FFirst_Algebra_Hawkes_Luby_Touton_edited.pdf) - Herbert E. Hawkes, William A. Luby, Frank C. Touton (1910)\n* 📝 [Second Course in Algebra](http:\u002F\u002Fdjm.cc\u002Flibrary\u002FSecond_Algebra_Hawkes_Luby_Touton_edited.pdf) - Herbert E. Hawkes, William A. Luby, Frank C. Touton (1911)\n* 📝 [Algebra: An Elementary Text-Book, Part I](http:\u002F\u002Fdjm.cc\u002Flibrary\u002FAlgebra_Elementary_Text-Book_Part_I_Chrystal_edited.pdf) - G. Chrystal (1904)\n* 📝 [Algebra: An Elementary Text-Book, Part II](http:\u002F\u002Fdjm.cc\u002Flibrary\u002FAlgebra_Elementary_Text-Book_Part_II_Chrystal_edited02.pdf) - G. Chrystal (1900)\n* 📝 [Understanding Algebra](https:\u002F\u002Fjamesbrennan.org\u002Falgebra) - James W. Brennan\n\n### Abstract Algebra\n\n* 📝 [Introduction to Abstract Algebra](https:\u002F\u002Fzodml.org\u002Fsites\u002Fdefault\u002Ffiles\u002FIntroduction_to_Abstract_Algebra_0.pdf) - D. S. Malik, John N. Mordeson, M.K. Sen (Creighton University)\n* 📝 [Introduction to Modern Algebra](http:\u002F\u002Faleph0.clarku.edu\u002F~djoyce\u002Fma225\u002Falgebra.pdf) - David Joyce (Clark University)\n* 📝 [Algebraic Methods](https:\u002F\u002Ffeog.github.io\u002FAA11.pdf) - F. Oggier\n* 📝 [Abstract Algebra : Theory and Applications](http:\u002F\u002Fabstract.ups.edu\u002Fdownload\u002Faata-20150812.pdf) - Thomas W. Judson, Robert A. Beezer (Austin State University)\n* 📝 [An Undergraduate Course in Abstract Algebra](http:\u002F\u002Fwww.maths.usyd.edu.au\u002Fu\u002Fbobh\u002FUoS\u002Frfwhole.pdf) - Robert Howlett\n* 📝 [Elements of Abstract and Linear Algebra](http:\u002F\u002Fwww.math.miami.edu\u002F~ec\u002Fbook) - E.H. Connell (University of Miami)\n* 📝 [Abstract Algebra: The Basic Graduate Year](http:\u002F\u002Fwww.math.uiuc.edu\u002F~r-ash\u002FAlgebra.html) - Robert Ash\n* 📝 [Abstract Algebra: Harvard Extension (Archived)](https:\u002F\u002Fweb.archive.org\u002Fweb\u002F20150528171650\u002Fextension.harvard.edu\u002Fopen-learning-initiative\u002Fabstract-algebra) - Benedict Gross\n* 📝 [Abstract Algebra: Harvard Extension Videos](https:\u002F\u002Fwww.youtube.com\u002Fplaylist?list=PLA58AC5CABC1321A3) - Benedict Gross\n\n### Group Theory\n\n* 📝 [Notes on Group Theory](https:\u002F\u002Fwww2.bc.edu\u002Fmark-reeder\u002FGroups.pdf) - Mark Reeder\n* 📝 [Group Theory](http:\u002F\u002Fwww.jmilne.org\u002Fmath\u002FCourseNotes\u002FGT.pdf) - J.S. Milne\n* 📝 [Notes on Finite Group Theory](http:\u002F\u002Fwww.maths.qmul.ac.uk\u002F~pjc\u002Fnotes\u002Fgt.pdf) - Peter J. Cameron\n* 📝 [Group Theory](http:\u002F\u002Fwww.cns.gatech.edu\u002FGroupTheory\u002Findex.html) - Pedrag Civitanovic\n\n### Linear Algebra\n\n* 📝 [Fundamentals of Linear Algebra](http:\u002F\u002Fwww.math.ubc.ca\u002F~carrell\u002FNB.pdf) - James B. Carrell\n* 📝 [Linear Algebra and Matrices](https:\u002F\u002Fweb.archive.org\u002Fweb\u002F20140824074655\u002Fhttp:\u002F\u002Fmathstat.helsinki.fi\u002F~fluch\u002Flinear_algebra_1-sp07\u002Fla1.pdf) - Martin Fluch\n* 📝 [Vector Space Theory](http:\u002F\u002Fwww.maths.usyd.edu.au\u002Fu\u002Fbobh\u002FUoS\u002FMATH2902\u002Fvswhole.pdf) - Robert Howlett\n* 📝 [Linear Algebra](http:\u002F\u002Fjoshua.smcvt.edu\u002Flinearalgebra) - Jim Hefferon\n* 📝 [MIT OpenCourseWare Lectures on Linear Algebra (18.06) as Jupyter Notebooks](https:\u002F\u002Fgithub.com\u002Fjuanklopper\u002FMIT_OCW_Linear_Algebra_18_06) - Juan Klopper\n* 📝 [Elementary Linear Algebra](http:\u002F\u002Fwww.numbertheory.org\u002Fbook\u002F) - Keith Matthews\n* 📝 [A First Courses in Linear Algebra](http:\u002F\u002Flinear.ups.edu\u002F) - Rob Breezer\n* 📝 [Linear Algebra](https:\u002F\u002Fwww.math.ucdavis.edu\u002F~linear\u002F) - David Cherney, Tom Denton, Andrew Waldron\n* 📝 [Introduction to vectors and tensors, Vol 1: linear and multilinear algebra](http:\u002F\u002Foaktrust.library.tamu.edu\u002Fhandle\u002F1969.1\u002F2502) - Ray M Bowen, C. C. Wang\n* 📝 [Introduction to vectors and tensors, Vol 2: vector and tensor analysis](http:\u002F\u002Foaktrust.library.tamu.edu\u002Fhandle\u002F1969.1\u002F3609) - Ray M Bowen, C. C. Wang\n* 📝 [Introduction to Applied Linear Algebra](https:\u002F\u002Fweb.stanford.edu\u002F~boyd\u002Fvmls\u002Fvmls.pdf) - Stephen Boyd (Stanford University), Lieven Vandenberghe (UCLA)\n* 📝 [Linear Algebra Done Wrong](https:\u002F\u002Fwww.math.brown.edu\u002F~treil\u002Fpapers\u002FLADW\u002FLADW_2017-09-04.pdf) - Sergei Treil\n* 📝 [Immersive Linear Algebra](http:\u002F\u002Fimmersivemath.com\u002Fila\u002Findex.html) - J. Ström, K. Åström, and T. Akenine-Möller\n* 📝 [Interactive Linear Algebra](https:\u002F\u002Ftextbooks.math.gatech.edu\u002Fila\u002F) - Dan Margalit and Joseph Rabinoff\n* 📝 [Linear Algebra, Infinite Dimensions, and Maple](https:\u002F\u002Fpeople.math.gatech.edu\u002F~herod\u002FHspace\u002FHspace.html) - James Herod\n* 📖 [Linear Algebra Done Right](https:\u002F\u002Flinear.axler.net\u002F) - Sheldon Axler\n\n### Ring Theory\n\n* 📝 [Foundations of Module and Ring Theory](http:\u002F\u002Fwww.math.uni-duesseldorf.de\u002F~wisbauer\u002Fbook.pdf) - Robert Wisbauer (University of Düsseldorf)\n\n### Galois Theory\n\n* 📝 [An Introduction to Galois Theory](http:\u002F\u002Fwww.maths.gla.ac.uk\u002F~ajb\u002Fdvi-ps\u002FGalois.pdf) - Andrew Baker (University of Glasgow)\n* 📝 [Fields and Galois Theory](http:\u002F\u002Fwww.jmilne.org\u002Fmath\u002FCourseNotes\u002FFT.pdf) - J.S. Milne\n* 📝 [Galois theory](http:\u002F\u002Fhomepages.warwick.ac.uk\u002F~masda\u002FMA3D5\u002FGalois.pdf) - Miles Reid\n* 📝 [Galois Theory](https:\u002F\u002Feclass.uoa.gr\u002Fmodules\u002Fdocument\u002Ffile.php\u002FMATH594\u002FStewart%20Galois%204th%20edition.pdf) - Ian Stewart\n* 📝 [Galois Theory](https:\u002F\u002Farxiv.org\u002Fpdf\u002F2408.07499) — Tom Leinster (University of Edinburgh)\n\n### Lie Algebras\n\n* 📝 [Lie Algebras](http:\u002F\u002Fwww.math.harvard.edu\u002F~shlomo\u002Fdocs\u002Flie_algebras.pdf) - Shlomo Sternberg\n\n## Combinatorics\n\n* 📝 [Basic Combinatorics](http:\u002F\u002Fweb.math.utk.edu\u002F~wagner\u002Fpapers\u002Fcomb.pdf) - Carl G. Wagner (University of Tennessee)\n* 📝 [Applied Combinatorics](http:\u002F\u002Fpeople.math.gatech.edu\u002F~trotter\u002Fbook.pdf) - Mitchel T. Keller, William T. Trotter\n* 📝 [Notes on Combinatorics](http:\u002F\u002Fwww.maths.qmul.ac.uk\u002F~pjc\u002Fnotes\u002Fcomb.pdf) - Peter J. Cameron\n* 📝 [Analytic Combinatorics](http:\u002F\u002Falgo.inria.fr\u002Fflajolet\u002FPublications\u002Fbook.pdf) - Philippe Flajolet, Robert Sedgewick\n* 📝 [generatingfunctionology](http:\u002F\u002Fwww.math.upenn.edu\u002F~wilf\u002FDownldGF.html) - Herbert Wilf\n\n### Graph Theory\n\n* 📝 [Graph Theory: Lecture Notes](http:\u002F\u002Fwww.personal.psu.edu\u002Fcxg286\u002FMath485.pdf) - Christopher Griffin\n* 📝 [Graph Theory](http:\u002F\u002Fwww.cs.unibo.it\u002Fbabaoglu\u002Fcourses\u002Fcas00-01\u002Ftutorials\u002FGraphTheory.pdf) - Reinhard Diestel\n* 📝 [Graph Theory : Interactive Algorithm Visualizer | Graph Theory Learning Platform](https:\u002F\u002Flearngraphtheory.org\u002F) - Hadjoudj Mohammed Islam \n\n\n## Geometry and Topology\n\n* 📝 [Fundamentals of Geometry](http:\u002F\u002Fpolly.phys.msu.ru\u002F~belyaev\u002Fgeometry.pdf) - Oleg A. Belyaev\n* 📝 [A=B](https:\u002F\u002Fwww.math.upenn.edu\u002F~wilf\u002FAeqB.html) - M. Petkovsek, H. Wilf, D. Zeilberger\n* 📝 [Elements](http:\u002F\u002Faleph0.clarku.edu\u002F~djoyce\u002Fjava\u002Felements\u002Ftoc.html) - Euclid\n* 📝 [Euclid's Elements Redux](http:\u002F\u002Fstarrhorse.com\u002Feuclid\u002F) - Daniel Callahan\n* 📝 [Mathematical Illustrations](http:\u002F\u002Fwww.math.ubc.ca\u002F~cass\u002Fgraphics\u002Fmanual\u002F) - Bill Casselman\n* 📝 [Byrne's Euclid](https:\u002F\u002Fwww.c82.net\u002Feuclid\u002F) - Oliver Byrne\n* 📝 [Plane Geometry](http:\u002F\u002Fdjm.cc\u002Flibrary\u002FPlane_Geometry_Wentworth_Smith_edited.pdf) - George Wentworth and David Eugene Smith (1913)\n* 📝 [Planes and Spherical Trigonometry](http:\u002F\u002Fdjm.cc\u002Flibrary\u002FPlane_Spherical_Trigonometry_Wentworth_Smith_edited_2.pdf) - George Wentworth and David Eugene Smith (1915)\n* 📝 [Coordinate Geometry](http:\u002F\u002Fdjm.cc\u002Flibrary\u002FCoordinate_Geometry_Fine_Thompson_edited03.pdf) - Henry Buchard Fine and Henry Dallas Thompson (1911)\n* 📝 [Analytic Geometry](http:\u002F\u002Fdjm.cc\u002Flibrary\u002FAnalytic_Geometry_Siceloff_Wentworth_Smith_edited.pdf) - Lewis Parker Siceloff, George Wentworth, David Eugene Smith (1922)\n\n### Differential Geometry\n\n* 📝 [Introduction to Differential Geometry](https:\u002F\u002Fpeople.math.ethz.ch\u002F~salamon\u002FPREPRINTS\u002Fdiffgeo.pdf) - Joel W. Robbin, Dietmar A. Salamon\n* 📝 [Notes on Differential Geometry and Lie Groups](https:\u002F\u002Fwww.cis.upenn.edu\u002F~jean\u002Fgbooks\u002Fmanif.html) - Jean Gallier (University of Pennsylvania)\n* 📝 [Topics in Differential Geometry](http:\u002F\u002Fwww.mat.univie.ac.at\u002F~michor\u002Fdgbook.pdf) - Peter W. Michor\n* 📝 [Lectures on Differential Geometry](http:\u002F\u002Fmysite.science.uottawa.ca\u002Frossmann\u002FDifferential%20Geometry%20book_files\u002FDiffgeo.pdf) - Wulf Rossmann\n* 📝 [An Introduction to Riemannian Geometry](http:\u002F\u002Fwww.matematik.lu.se\u002Fmatematiklu\u002Fpersonal\u002Fsigma\u002FRiemann.pdf) - Sigmundur Gudmundsson (Lund University)\n* 📝 [The Geometry and Topology of Three-Manifolds](http:\u002F\u002Fmsri.org\u002Fpublications\u002Fbooks\u002Fgt3m\u002F) - W. Thurston\n* 📝 [Semi-Riemann Geometry and General Relativity](http:\u002F\u002Fwww.math.harvard.edu\u002F~shlomo\u002Fdocs\u002Fsemi_riemannian_geometry.pdf) - Shlomo Sternberg\n* 📝 [Discrete Differential Geometry](http:\u002F\u002Fwww.cs.cmu.edu\u002F~kmcrane\u002FProjects\u002FDDG\u002Fpaper.pdf) - Keenan Crane\n\n### Algebraic Geometry\n\n* 📝 [A Brief Introduction to Algebraic Geometry](https:\u002F\u002Fksda.ccny.cuny.edu\u002FPostedPapers\u002Frickksda1107.pdf) - R.C. Churchill\n* 📝 [Introduction to Algebraic Geometry](http:\u002F\u002Fwww.math.lsa.umich.edu\u002F~idolga\u002F631.pdf) - Igor V. Dolgachev\n* 📝 [Foundations of Algebraic Geometry](http:\u002F\u002Fmath.stanford.edu\u002F~vakil\u002F216blog\u002FFOAGjun1113public.pdf) - Ravi Vakil\n* 📝 [Algebraic Geometry](http:\u002F\u002Fwww.cis.upenn.edu\u002F~jean\u002Falgeoms.pdf) - Jean Gallier, Stephen S. Shatz (University of Pennsylvania)\n* 📝 [Algebraic Geometry](http:\u002F\u002Fwww.jmilne.org\u002Fmath\u002FCourseNotes\u002FAG.pdf) - J.S. Milne\n* 📝 [Algebraic Geometry](http:\u002F\u002Fwww.mathematik.uni-kl.de\u002F~gathmann\u002Fclass\u002Falggeom-2002\u002Fmain.pdf) - Andreas Gathmann (University of Kaiserslautern)\n* 📝 [The Stacks Project](https:\u002F\u002Fstacks.math.columbia.edu\u002F) - Maintained by Aise Johan de Jong (Columbia)\n\n### Algebraic Statistics\n* 📝 [Lectures on Algebraic Statistics](https:\u002F\u002Fmath.berkeley.edu\u002F~bernd\u002Fowl.pdf) - Mathias Drton, Bernd Sturmfels, Seth Sullivant\n* 📝 [An Introduction to Algebraic Statistics](https:\u002F\u002Fwww3.diism.unisi.it\u002F~chiantini\u002Fdid\u002F00Book.pdf) - Cristiano Bocci, Luca Chiantini and Anthony V. Geramita\n* 📝 [Algebraic Statistics](https:\u002F\u002Ftore.tuhh.de\u002Fdspace-cris-server\u002Fapi\u002Fcore\u002Fbitstreams\u002Fa0c378d5-ce8e-442a-8891-9e7f763b4279\u002Fcontent) - Karl-Heinz Zimmermann\n* 📝 [Algebraic Statistics for Computational Biology](http:\u002F\u002Fyaroslavvb.com\u002Fpapers\u002Fpachter-algebraic.pdf) - Pachter, and Sturmfels.\n\n### Topology\n\n* 📝 [General Topology](https:\u002F\u002Fwww.rexresearch1.com\u002FTopologyLibrary\u002FGeneralTopologyWillard.pdf) - Stephen Willard\n* 📝 [Elementary Applied Topology](https:\u002F\u002Fwww.math.upenn.edu\u002F~ghrist\u002Fnotes.html) - Robert Ghrist (UPenn)\n* 📝 [Introduction to Topology](http:\u002F\u002Fwww.math.colostate.edu\u002F~renzo\u002Fteaching\u002FTopology10\u002FNotes.pdf)\n* 📝 [Introduction to Topology](http:\u002F\u002Fwww.math.bme.hu\u002F~kalex\u002FTeaching\u002FSpring10\u002FTopology\u002FTopNotes_Spring10.pdf) - Alex Küronya\n* 📝 [Introductory Topology](http:\u002F\u002Fwww.math.clemson.edu\u002F~jimlb\u002FTeaching\u002F2009-10\u002FMath986\u002FTopology.pdf) - Jim L. Brown\n* 📝 [General Topology](http:\u002F\u002Fwebusers.imj-prg.fr\u002F~pierre.schapira\u002Flectnotes\u002FTopo.pdf) - Pierre Schapira (Paris VI University)\n* 📝 [Elementary Topology Problem Textbook](http:\u002F\u002Fwww.pdmi.ras.ru\u002F~olegviro\u002Ftopoman\u002Feng-book-nopfs.pdf)\n* 📝 [General Topology](http:\u002F\u002Fwww.math.ku.dk\u002F~moller\u002Fe03\u002F3gt\u002Fnotes\u002Fgtnotes.pdf) - Jesper M. Møller\n* 📝 [Topology Topics](http:\u002F\u002Fmathonline.wikidot.com\u002Ftopology)\n\n### Algebraic Topology\n\n* 📝 [Algebraic Topology](http:\u002F\u002Fpi.math.cornell.edu\u002F~hatcher\u002FAT\u002FAT.pdf) - Allen Hatcher\n* 📝 [A Concise Course in Algebraic Topology](http:\u002F\u002Fwww.math.uchicago.edu\u002F~may\u002FCONCISE\u002FConciseRevised.pdf) - J. P. May\n* 📝 [Introduction to Algebraic Topology](http:\u002F\u002Fwww.math.muni.cz\u002F~cadek\u002Fat\u002Fat.pdf) - Martin Cadek\n* 📝 [Algebra and Topology](http:\u002F\u002Fwebusers.imj-prg.fr\u002F~pierre.schapira\u002Flectnotes\u002FAlTo.pdf) - Pierre Schapira (Paris VI University)\n* 📝 [Lecture Notes in Algebraic Topology](http:\u002F\u002Fwww.indiana.edu\u002F~jfdavis\u002Fteaching\u002Fm623\u002Fbook.pdf) - James F. Davis, Paul Kirk (Indiana University)\n* 📝 [Algebraic Topology](https:\u002F\u002Fwww.ma.utexas.edu\u002Fibl1\u002Fcourses\u002Fresources\u002F12_15_07_grad_alg_top_mooremethod.pdf) - Michael Starbird\n* 📝 [Lecture Notes on Algebraic Topology](http:\u002F\u002Fwww.math.nus.edu.sg\u002F~matwujie\u002Fma5209.pdf) - Jie Wu\n\n\n## Analysis\n\n### Real Analysis\n\n* 📝 [MIT OpenCourseWare Lectures on Calculus](https:\u002F\u002Focw.mit.edu\u002Fresources\u002Fres-18-001-calculus-online-textbook-spring-2005\u002Ftextbook\u002F) - G. Strang\n* 📝 [Elementary Calculus: An Approach Using Infinitesimals](http:\u002F\u002Fwww.math.wisc.edu\u002F~keisler\u002Fcalc.html) - Professor H. Jerome Keisler\n* 📝 [An Introduction to Real Analysis](https:\u002F\u002Fwww.math.ucdavis.edu\u002F~hunter\u002Fintro_analysis_pdf\u002Fintro_analysis.pdf) - John K. Hunter (University of California at Davis)\n* 📝 [Introduction to Real Analysis](http:\u002F\u002Framanujan.math.trinity.edu\u002Fwtrench\u002Ftexts\u002FTRENCH_REAL_ANALYSIS.PDF) - William F. Trench (Trinity University, Texas)\n* 📝 [Basic Analysis: Introduction to Real Analysis](http:\u002F\u002Fwww.jirka.org\u002Fra\u002Frealanal.pdf) - Jiří Lebl\n* 📝 [Elementary Real Analysis](http:\u002F\u002Fprac.im.pwr.wroc.pl\u002F~kwasnicki\u002Fpl\u002Fstuff\u002Ftbb-hyper.pdf) - Thomson, Bruckner\n* 📝 [Lecture Notes in Real Analysis](http:\u002F\u002Fms.mcmaster.ca\u002F~sawyer\u002FPublications\u002FReal_Analysis.pdf) - Eric T. Sawyer (McMaster University)\n* 📝 [Real Analysis](http:\u002F\u002Fmath.harvard.edu\u002F~ctm\u002Fpapers\u002Fhome\u002Ftext\u002Fclass\u002Fharvard\u002F212a\u002Fcourse\u002Fcourse.pdf) - C. McMullen\n* 📝 [Real Analysis for Graduate Students](http:\u002F\u002Fbass.math.uconn.edu\u002F3rd.pdf) - Richard F. Bass\n* 📝 [Modern Real Analysis](http:\u002F\u002Fwww.math.purdue.edu\u002F~torres\u002Fpubs\u002FModern-real-analysis.pdf) - William P. Ziemer (Indiana University)\n* 📝 [Mathematical Analysis Vol I](http:\u002F\u002Fwww.trillia.com\u002Fzakon-analysisI.html) - Elias Zakon\n* 📝 [Mathematical Analysis Vol II](http:\u002F\u002Fwww.trillia.com\u002Fzakon-analysisII.html) - Elias Zakon\n* 📝 [Advanced Calculus](http:\u002F\u002Fwww.math.harvard.edu\u002F~shlomo\u002Fdocs\u002FAdvanced_Calculus.pdf) - Lynn Loomis, Schlomo Sternberg\n* 📝 [ Analysis of Functions of a Single Variable](http:\u002F\u002Fspot.colorado.edu\u002F~baggett\u002Fanalysis.html) - Lawerence Baggett\n* 📝 [The Calculus of Functions of Several Variables](http:\u002F\u002Fwww.synechism.org\u002Fwp\u002Fthe-calculus-of-functions-of-several-variables\u002F) - Dan Sloughter\n* 📝 [A ProblemText in Advanced Calculus](http:\u002F\u002Fweb.pdx.edu\u002F~erdman\u002FPTAC\u002Fproblemtext_pdf.pdf) - John M. Erdman\n* 📝 [Calculus and Linear Algebra. Vol. 1](http:\u002F\u002Fhdl.handle.net\u002F2027\u002Fspo.5597602.0001.001) - Wilfred Kaplan, Donald J. Lewis\n* 📝 [Calculus and Linear Algebra. Vol. 2](https:\u002F\u002Fquod.lib.umich.edu\u002Fs\u002Fspobooks\u002F5597602.0002.001) - Wilfred Kaplan, Donald J. Lewis\n* 📝 [Introduction to Calculus I and II](http:\u002F\u002Fwww.math.odu.edu\u002F~jhh\u002Fcounter10.html) - J.H. Heinbockel\n* 📝 [Active Calculus](http:\u002F\u002Ffaculty.gvsu.edu\u002Fboelkinm\u002FHome\u002FActive_Calculus.html) - Matt Boelkins\n* 📝 [Supplements to the Exercises in Chapters 1-7 of Walter Rudin's \"Principles of Mathematical Analysis\"](https:\u002F\u002Fmath.berkeley.edu\u002F~gbergman\u002Fug.hndts\u002F#Rudin) - George M. Bergman\n* 📝 [Calculus Made Easy](http:\u002F\u002Fcalculusmadeeasy.org\u002F) - Silvanus P. Thompson (1910)\n* 📝 [Elements of Differential and Integral Calculus](http:\u002F\u002Fdjm.cc\u002Flibrary\u002FElements_Differential_Integral_Calculus_Granville_edited_2.pdf) - William Anthony Granville (1911)\n* 📝 [Precalculus](https:\u002F\u002Fstitz-zeager.com\u002Fszprecalculus07042013.pdf) - Carl Stitz, Jeff Zeager\n\n### Harmonic Analysis\n\n* 📝 [Harmonic Analysis Lecture Notes](http:\u002F\u002Fwww.math.uiuc.edu\u002F~laugesen\u002F545\u002F545Lectures.pdf) - Richard S. Laugesen (University of Illinois at Urbana–Champaign)\n* 📝 [Harmonic Analysis](http:\u002F\u002Fwww.math.uchicago.edu\u002F~schlag\u002Fharmonicnotes.pdf) - W. Schlag\n* 📝 [Lecture Notes: Fourier Transform and its Applications](https:\u002F\u002Fsee.stanford.edu\u002Fmaterials\u002Flsoftaee261\u002Fbook-fall-07.pdf) - Brad Osgood\n* 📝 [Fourier Analysis](http:\u002F\u002Fwww.reed.edu\u002Fphysics\u002Fcourses\u002FPhysics331.f08\u002Fpdf\u002FFourier.pdf) - Lucas Illing\n* 📝 [Mathematics of the Discrete Fourier Transform (DFT) with Audio Applications](https:\u002F\u002Fccrma.stanford.edu\u002F~jos\u002Fmdft) - Julius O. Smith III (Stanford University)\n\n### Complex Analysis\n\n* 📝 [Introduction to Complex Analysis](https:\u002F\u002Fmtaylor.web.unc.edu\u002Fwp-content\u002Fuploads\u002Fsites\u002F16915\u002F2018\u002F04\u002Fcomplex.pdf) - Michael Taylor\n* 📝 [An Introduction to Complex Analysis and Geometry](http:\u002F\u002Fwww.math.uiuc.edu\u002F~jpda\u002Fjpd-complex-geometry-book-5-refs-bip.pdf) - John P. D'Angelo (University of Illinois)\n* 📝 [A First Course in Complex Analysis](http:\u002F\u002Fmath.sfsu.edu\u002Fbeck\u002Fpapers\u002Fcomplex.pdf) - Matthias Beck, Gerald Marchesi, Dennis Pixton, Lucas Sabalka\n* 📝 [A Guide to Complex Variables](http:\u002F\u002Fwww.math.wustl.edu\u002F~sk\u002Fbooks\u002Fguide.pdf) - Steven G. Krantz\n* 📝 [Complex Analysis](http:\u002F\u002Fwww.maths.manchester.ac.uk\u002F~cwalkden\u002Fcomplex-analysis\u002Fcomplex_analysis.pdf) - Charles Walkden\n* 📝 [Complex Analysis](http:\u002F\u002Fwww.math.ku.dk\u002Fnoter\u002Ffiler\u002Fkoman-12.pdf) - Christian Berg\n* 📝 [Complex Variables](http:\u002F\u002Fpeople.math.sc.edu\u002Fgirardi\u002Fm7034\u002Fbook\u002FAshComplexVariablesWithHyperlinks.pdf) - R. B. Ash, W.P. Novinger\n* 📝 [Complex Analysis](http:\u002F\u002Fwww.maths.lth.se\u002Fmatematiklu\u002Fpersonal\u002Folofsson\u002FCompHT06.pdf) - Christer Bennewitz\n* 📝 [Complex Analysis](https:\u002F\u002Fweb.archive.org\u002Fweb\u002F20150620124453\u002Fhttps:\u002F\u002Fwww.math.washington.edu\u002F~marshall\u002Fmath_536\u002FNotes.pdf) - Donald E. Marshall\n* 📝 [A Concise Course in Complex Analysis and Riemann Surfaces](https:\u002F\u002Fgauss.math.yale.edu\u002F~ws442\u002Fcomplex.pdf) - Wilhelm Schlag\n* 📝 [Complex Analysis](http:\u002F\u002Fpeople.math.gatech.edu\u002F%7Ecain\u002Fwinter99\u002Fcomplex.html) - G. Cain (Georgia Tech)\n* 📝 [Complex Analysis](https:\u002F\u002Fcomplex-analysis.com\u002F) - Juan Carlos Ponce Campuzano\n\n### Functional Analysis\n\n* 📝 [An Introduction to Functional Analysis](https:\u002F\u002Fwww.math.uwaterloo.ca\u002F~lwmarcou\u002Fnotes\u002Fpmath453.pdf) - Laurent W. Marcoux (University of Waterloo)\n* 📝 [Functional Analysis: Lecture Notes](http:\u002F\u002Fusers.math.msu.edu\u002Fusers\u002Fjeffrey\u002F920\u002F920notes.pdf) - Jeff Schenker (Michigan State University)\n* 📝 [Functional Analysis Lecture Notes](https:\u002F\u002Farchive.org\u002Fdetails\u002FTB_Ward___Functional_analysis_lecture_notes) - T.B. Ward (University of East Anglia)\n* 📝 [Functional Analysis](http:\u002F\u002Fwww.maths.lancs.ac.uk\u002F~belton\u002Fwww\u002Fnotes\u002Ffa_notes.pdf) - Alexander C. R. Belton\n* 📝 [Topics in Real and Functional Analysis](https:\u002F\u002Fwww.mat.univie.ac.at\u002F~gerald\u002Fftp\u002Fbook-fa\u002Ffa.pdf) - Gerald Teschl\n* 📝 [Functional Analysis](http:\u002F\u002Fwww2.math.ou.edu\u002F~cremling\u002Fteaching\u002Flecturenotes\u002Ffa-new\u002FLN-I.pdf) - Christian Remling\n* 📝 [Theory of Functions of a Real Variable](http:\u002F\u002Fwww.math.harvard.edu\u002F~shlomo\u002Fdocs\u002FReal_Variables.pdf) - Shlomo Sternberg\n* 📝 [Functional Analysis](http:\u002F\u002Fspot.colorado.edu\u002F~baggett\u002Ffunctional.html) - Lawerence Baggett\n\n### Measure Theory\n\n* 📝 [An Introduction to Measure Theory](https:\u002F\u002Fterrytao.files.wordpress.com\u002F2012\u002F12\u002Fgsm-126-tao5-measure-book.pdf) - Terence Tao (UCLA)\n* 📝 [Lecture Notes on Measure Theory and Functional Analysis](http:\u002F\u002Fwww.mat.uniroma2.it\u002F~cannarsa\u002Fcam_0607.pdf) - P. Cannarsa, T. D’Aprile\n* 📝 [Lecture Notes in Measure Theory](http:\u002F\u002Fwww.math.chalmers.se\u002F~borell\u002FMeasureTheory.pdf) - Christer Borell\n* 📝 [A Crash Course on the Lebesgue Integral and Measure Theory](http:\u002F\u002Fwww.gold-saucer.org\u002Fmath\u002Flebesgue\u002Flebesgue.pdf) - Steve Cheng\n* 📝 [Measure Theory](https:\u002F\u002Fwww.math.ucdavis.edu\u002F~hunter\u002Fmeasure_theory\u002Fmeasure_notes.pdf) - John K. Hunter (University of California at Davis)\n* 📝 [Measure and Integration](https:\u002F\u002Fpeople.math.ethz.ch\u002F~salamon\u002FPREPRINTS\u002Fmeasure.pdf) - Dietmar A. Salamon (ETH Zürich)\n* 📝 [Lecture notes: Measure Theory](http:\u002F\u002Fwww.math.ucsd.edu\u002F~bdriver\u002F240-00-01\u002FLecture_Notes\u002Fmeasurep.pdf) - Bruce K. Driver\n\n### Ordinary Differential Equations\n\n* 📝 [Difference Equations To Differential Equations](http:\u002F\u002Fwww.synechism.org\u002Fwp\u002Fdifference-equations-to-differential-equations\u002F) - Dan Sloughter\n* 📝 [Ordinary Differential Equation](https:\u002F\u002Fwww.math.uni-bielefeld.de\u002F~grigor\u002Fodelec2008.pdf) - Alexander Grigorian (University of Bielefeld)\n* 📝 [Ordinary Differential Equations: Lecture Notes](http:\u002F\u002Fwww.cs.bgu.ac.il\u002F~leonid\u002Fode_bio_files\u002FIonascu_LectNotes.pdf) - Eugen J. Ionascu\n* 📝 [Ordinary Differential Equations](http:\u002F\u002Fwww.math.lmu.de\u002F~philip\u002Fpublications\u002FlectureNotes\u002FODE.pdf) - Peter Philip\n* 📝 [Ordinary Differential Equations](http:\u002F\u002Fusers.math.msu.edu\u002Fusers\u002Fgnagy\u002Fteaching\u002Fode.pdf) - Gabriel Nagy\n* 📝 [Ordinary Differential Equations and Dynamical Systems](http:\u002F\u002Fwww.mat.univie.ac.at\u002F~gerald\u002Fftp\u002Fbook-ode\u002Fode.pdf) - Gerald Teschl\n* 📝 [Notes on Differential Equations](http:\u002F\u002Fleipper.org\u002Fmanuals\u002Fzip-fill\u002Fdn-difeq-notes.pdf) - Bob Terrell\n* 📝 [Elementary Differential Equations](http:\u002F\u002Fdigitalcommons.trinity.edu\u002Fmono\u002F8\u002F) - William F. Trench\n* 📝 [Elementary Differential Equations With Boundary Value Problems](http:\u002F\u002Fdigitalcommons.trinity.edu\u002Fmono\u002F9\u002F) - William F. Trench\n* 📝 [Notes on Diffy Qs: Differential Equations for Engineers](http:\u002F\u002Fwww.jirka.org\u002Fdiffyqs\u002F) - Jiří Lebl\n* 📝 [Differential Equations](http:\u002F\u002Fdjm.cc\u002Flibrary\u002FDifferential_Equations_Phillips_edited.pdf) - H. B. Phillips (1922)\n\n### Partial Differential Equations\n\n* 📝 [Notes on Partial Differential Equations](https:\u002F\u002Fwww.math.ucdavis.edu\u002F~hunter\u002Fpdes\u002Fpde_notes.pdf) - John K. Hunter (University of California at Davis)\n* 📝 [Partial Differential Equations: Lecture Notes](http:\u002F\u002Fwww.math.uni-leipzig.de\u002F~miersemann\u002Fpdebook.pdf) - Erich Miersemann (Leipzig University)\n* 📝 [Linear Methods of Applied Mathematics](http:\u002F\u002Fwww.mathphysics.com\u002Fpde\u002F) - E. Harrell, J. Herod (Georgia Tech)\n\n### Chaos Theory\n\n* 📝 [Chaos: Making a New Science](https:\u002F\u002Farchive.org\u002Fdetails\u002Fchaosmakingnewsc0000unse) - James Gleick\n* 📝 [Complexity: A Guided Tour](https:\u002F\u002Farchive.org\u002Fdetails\u002Fcomplexityguided0000mitc?utm_source=chatgpt.com) - Melanie Mitchell (Oxford University)\n\n\n## Probability and Statistics\n\n### Probability Theory\n\n* 📝 [Introduction to Probability](https:\u002F\u002Fwww.dartmouth.edu\u002F~chance\u002Fteaching_aids\u002Fbooks_articles\u002Fprobability_book\u002Famsbook.mac.pdf) - Charles M. Grinstead, J. Laurie Snell\n* 📝 [Introduction to Probability](http:\u002F\u002Fvfu.bg\u002Fen\u002Fe-Learning\u002FMath--Bertsekas_Tsitsiklis_Introduction_to_probability.pdf) - Dimitri P. Bertsekas, John N. Tsitsiklis (MIT)\n* 📝 [A Short Introduction to Probability](http:\u002F\u002Fwww.maths.uq.edu.au\u002F~kroese\u002Fasitp.pdf) - Dirk P. Kroese (University of Queensland)\n* 📝 [Probability: Theory and Examples](https:\u002F\u002Fwww.math.duke.edu\u002F~rtd\u002FPTE\u002FPTE4_1.pdf) - Rick Durrett\n* 📝 [Probability and Statistics Cookbook](https:\u002F\u002Fgithub.com\u002Fmavam\u002Fstat-cookbook\u002Freleases\u002Fdownload\u002F0.2.3\u002Fstat-cookbook.pdf) - Matthias Vallentin (UC Berkeley)\n* 📝 [The Only Probability Cheatsheet You'll Ever Need](http:\u002F\u002Fwww.wzchen.com\u002Fprobability-cheatsheet\u002F) - William Chen\n* 📝 [An Introduction to Probability and Random Processes](http:\u002F\u002Fwww.ellerman.org\u002FDavids-Stuff\u002FMaths\u002FRota-Baclawski-Prob-Theory-79.pdf) - Gian-Carlo Rota, Kenneth Baclawski\n* 📝 [Foundations of Constructive Probability Theory](https:\u002F\u002Farxiv.org\u002Fpdf\u002F1906.01803.pdf) - Yuen-Kwok Chan\n\n### Statistics\n\n* 📝 [Lecture Notes on Statistical Theory](http:\u002F\u002Fhomepages.math.uic.edu\u002F~rgmartin\u002FTeaching\u002FStat411\u002FNotes\u002F411notes.pdf) - Ryan Martin (University of Illinois)\n* 📝 [Introduction to Statistics and Data Analysis for Physicists](http:\u002F\u002Fwww-library.desy.de\u002Fpreparch\u002Fbooks\u002Fvstatmp_engl.pdf) - Gerhard Bohm, Günter Zech\n* 📝 [Probability and Mathematical Statistics](http:\u002F\u002Fwww.iiserpune.ac.in\u002F~ayan\u002FMTH201\u002FSahoo_textbook.pdf) - Prasanna Sahoo (University of Louisville)\n* 📝 [Lectures on Statistics](http:\u002F\u002Fmath.arizona.edu\u002F~faris\u002Fstat.pdf) - William G. Faris\n* 📝 [Statistical Theory](http:\u002F\u002Fpages.pomona.edu\u002F~ajr04747\u002FFall2009\u002FMath152\u002FNotes\u002FMath152NotesFall09.pdf) - Adolfo J. Rumbos\n* 📝 [Theory of Statistics](http:\u002F\u002Fmason.gmu.edu\u002F~jgentle\u002Fbooks\u002FMathStat.pdf) - James E. Gentle (George Mason University)\n* 📝 [Theory of Statistics](http:\u002F\u002Fmath.arizona.edu\u002F~jwatkins\u002Fnotests.pdf) - Joseph C. Watkins (University of Arizona)\n* 📝 [Glossary of Data Modeling](https:\u002F\u002Fweb.archive.org\u002Fweb\u002F20130523134625\u002Fhttp:\u002F\u002Fwww.aiaccess.net\u002Fe_gm.htm) - AI Access\n* 📝 [Statistics Papers](http:\u002F\u002Fwww.ats.ucla.edu\u002Fstat\u002Fpapers\u002F) - List of statistics papers curated by the Institute for Digital Research and Education (IDRE) at UCLA on methods such as bootstrap and factor invariance.\n* 📝 [NIST Handbook of Statistical Methods](http:\u002F\u002Fitl.nist.gov\u002Fdiv898\u002Fhandbook\u002Findex.htm) - Resource on practical statistics directed towards scientists and engineers.\n* 📝 [Concepts and Applications of Inferential Statistics](http:\u002F\u002Fvassarstats.net\u002Ftextbook\u002F) - Richard Lowry\n* 📝 [Rough set data analysis: A road to non-invasive knowledge discovery](http:\u002F\u002Fwww.cosc.brocku.ca\u002F~duentsch\u002Fpapers\u002Fmethprimer2.html) - Ivo Düntsch, Günther Gediga\n* 📝 [Statistical Thinking for the 21st Century](https:\u002F\u002Fstatsthinking21.org\u002F) - Russell A. Poldrack\n* 📝 [Odds and Ends: Introducing Probability & Decision with a Visual Emphasis](https:\u002F\u002Fjonathanweisberg.org\u002Fvip\u002F) - Jonathan Weisberg\n* 📝 [Seeing Theory](https:\u002F\u002Fseeing-theory.brown.edu\u002F) - Daniel Kunin, Jingru Guo, Tyler Dae Devlin, and Daniel Xiang\n* 📝 [Statistics Done Wrong](https:\u002F\u002Fwww.statisticsdonewrong.com\u002F) - Alex Reinhart\n* 📝 [All of Statistics: A Concise Course in Statistical Inference](https:\u002F\u002Flink.springer.com\u002Fbook\u002F10.1007\u002F978-0-387-21736-9) - Larry Wasserman\n\n### Statistical Learning\n\n* 📝 [An Introduction to Statistical Learning with Applications in R](http:\u002F\u002Fwww-bcf.usc.edu\u002F~gareth\u002FISL\u002FISLR%20First%20Printing.pdf) - Gareth James, Daniela Witten, Trevor Hastie, Robert Tibshirani\n* 📝 [The Elements of Statistical Learning](http:\u002F\u002Fweb.stanford.edu\u002F~hastie\u002FPapers\u002FESLII.pdf) - Trevor Hastie, Robert Tibshirani, Jerome Friedman\n* 📝 [Statistical Learning Theory](https:\u002F\u002Fweb.stanford.edu\u002Fclass\u002Fcs229t\u002Fnotes.pdf) - Percy Liang\n* 📝 [Reinforcement Learning: An Introduction](https:\u002F\u002Fwebdocs.cs.ualberta.ca\u002F~sutton\u002Fbook\u002Fbookdraft2016sep.pdf) - Richard S. Sutton, Andrew G. Barto\n\n### Stochastic processes\n\n* 📝 [Lectures on Stochastic Processes](http:\u002F\u002Fwww.math.tifr.res.in\u002F~publ\u002Fln\u002Ftifr24.pdf) - K. Ito (Tata Institute of Fundamental Research, Bombay)\n* 📝 [Probability and Stochastic Processes with Applications](http:\u002F\u002Fwww.math.harvard.edu\u002F~knill\u002Fteaching\u002Fmath144_1994\u002Fprobability.pdf) - Oliver Knill (Harvard University)\n* 📝 [Stochastic Processes](http:\u002F\u002Fstatweb.stanford.edu\u002F~adembo\u002Fmath-136\u002Fnnotes.pdf) - Amir Dembo (Stanford University)\n* 📝 [Lecture Notes on Stochastic Processes](http:\u002F\u002Fwww.mi.fu-berlin.de\u002Fwiki\u002Fpub\u002FCompMolBio\u002FMarkovKetten15\u002Fstochastic_processes_2011.pdf) - Frank Noé, Bettina Keller and Jan-Hendrik Prinz (Freie Universität Berlin)\n* 📝 [Introduction to Stochastic Processes - Lecture Notes](https:\u002F\u002Fwww.ma.utexas.edu\u002Fusers\u002Fgordanz\u002Fnotes\u002Fintroduction_to_stochastic_processes.pdf) - Gordan Žitković (University of Texas)\n* 📝 [Applied Stochastic Processes in science and engineering](https:\u002F\u002Fwww.math.uwaterloo.ca\u002F~mscott\u002FLittle_Notes.pdf) - Matt Scott (University of Waterloo)\n* 📝 [An Introduction to Stochastic Processes in Continuous Time](http:\u002F\u002Fwww.math.leidenuniv.nl\u002F~spieksma\u002Fcolleges\u002Fsp-master\u002Fsp-hvz1.pdf) - Flora Spieksma (Leiden University)\n* 📝 [Markov Chains and Mixing Times](http:\u002F\u002Fpages.uoregon.edu\u002Fdlevin\u002FMARKOV\u002Fmarkovmixing.pdf) - David A. Levin, Yuval Peres, Elizabeth L. Wilmer\n* 📝 [Convergence of Stochastic Processes](http:\u002F\u002Fwww.stat.yale.edu\u002F~pollard\u002FBooks\u002F1984book\u002Fpollard1984.pdf) - David Pollard\n\n\n## Numerical Analysis\n\n* 📝 [Introduction to Numerical Analysis](http:\u002F\u002Fwww.math.umd.edu\u002F~dlevy\u002Fresources\u002Fnotes.pdf) - Doron Levy (University of Maryland)\n* 📝 [A Concise Introduction to Numerical Analysis](http:\u002F\u002Fwww.ima.umn.edu\u002F~arnold\u002F597.00-01\u002Fnabook.pdf) - Douglas N. Arnold (University of Minnesota)\n* 📝 [Numerical Analysis](http:\u002F\u002Fpeople.cs.uchicago.edu\u002F~ridg\u002Fnewna\u002Fnalrs.pdf) - L. Ridgway Scott\n* 📝 [Lectures In Basic Computational Numerical Analysis](https:\u002F\u002Fuknowledge.uky.edu\u002Fcgi\u002Fviewcontent.cgi?article=1000&context=math_textbooks) - J. M. McDonough (University of Kentucky)\n* 📝 [Advanced Numerical Methods and Their Applications to Industrial Problems: Adaptive Finite Element Methods](https:\u002F\u002Fuser.math.uni-bremen.de\u002Fschmi\u002FSS04\u002FYSU_Notes.pdf) - Alfred Schmidt, Arsen Narimanyan\n* 📝 [Numerical Analysis for Engineers](https:\u002F\u002Fece.uwaterloo.ca\u002F~dwharder\u002Fnm\u002F) - Douglas Wilhelm Harder\n* 📝🎥 [Advanced Linear Algebra: Foundations to Frontiers](https:\u002F\u002Fwww.cs.utexas.edu\u002Fusers\u002Fflame\u002Flaff\u002Falaff\u002Ffrontmatter.html) - Robert van de Geijn, Margaret Myers (University of Texas at Austin)\n\n## Signal processing\n\n* 📝 [Introduction to Signal Processing](http:\u002F\u002Fwww.ece.rutgers.edu\u002F~orfanidi\u002Fintro2sp\u002Forfanidis-i2sp.pdf) - Sophocles J. Orfanidis (Rutgers University)\n* 📝 [Foundations of Signal Processing](http:\u002F\u002Fwww.fourierandwavelets.org\u002FFSP_v1.1_2014.pdf) - Martin Vetterli, Jelena Kovacevic, Vivek K Goyal\n* 📝 [An Introduction to Statistical Signal Processing](https:\u002F\u002Fee.stanford.edu\u002F~gray\u002Fsp.pdf) - Robert M. Gray, Lee D. Davisson\n* 📝 [Think DSP](https:\u002F\u002Fgreenteapress.com\u002Fwp\u002Fthink-dsp\u002F) - Allen B. Downey\n* 📝 [Linear algebra, signal processing, and wavelets. A unified approach.](https:\u002F\u002Fwww.uio.no\u002Fstudier\u002Femner\u002Fmatnat\u002Fmath\u002FMAT-INF2360\u002Fv15\u002Fkompendium\u002Fapplinalgpython.pdf) - Øyvind Ryan (University of Oslo)\n\n\n## Mathematics for Computer Science\n\n* 📝 [Mathematics for Computer Science](https:\u002F\u002Fpeople.csail.mit.edu\u002Fmeyer\u002Fmcs.pdf) - Eric Lehman, F. Thomson Leighton, Albert R. Meyer\n* 📝 [Algorithms and Complexity](http:\u002F\u002Fwww.math.upenn.edu\u002F%7Ewilf\u002FAlgComp3.html) - H. Wilf\n* 📝 [Lecture Notes on Optimization](http:\u002F\u002Fpeople.eecs.berkeley.edu\u002F~varaiya\u002Fpapers_ps.dir\u002FNOO.pdf) - Pravin Varaiya\n* 📝 [Information Theory, Inference, and Learning Algorithms](http:\u002F\u002Fwww.inference.org.uk\u002Fmackay\u002Fitila\u002Fbook.html) - David J. C. MacKay\n* 📝 [The Chaos Textbook: Mathematics in the age of the computer](https:\u002F\u002Fhypertextbook.com\u002Fchaos\u002F) - Glenn Elert\n\n## Mathematical Biology\n\n* 📝 [Mathematical Biology](http:\u002F\u002Fwww.math.ust.hk\u002F~machas\u002Fmathematical-biology.pdf) - Jeffrey Chasnov\n\n## Mathematical Physics\n\n* 📝 [Introduction to Continuum Mechanics](http:\u002F\u002Foaktrust.library.tamu.edu\u002Fhandle\u002F1969.1\u002F2501) - Ray. M. Bowen\n* 📝 [Mathematical Tools for Physics](http:\u002F\u002Fwww.physics.miami.edu\u002Fnearing\u002Fmathmethods\u002F) - James Nearing\n* 📝 [Mechanism of the Heavens (1831)](http:\u002F\u002Fwww.malaspina.com\u002Fetext\u002Fheavens.htm) - Mary Somerville\n\n# Students Lecture Notes\n* [Evan Chen](https:\u002F\u002Fweb.evanchen.cc\u002Fcoursework.html) - MIT. 2012 ~ 2018. Covers Combinatorics, Number Theory, Honors Algebra, Set Theory, Real Analysis, Graph Theory, and more.\n* [Dexter Chua](https:\u002F\u002Fdec41.user.srcf.net\u002Fnotes\u002F) - Harvard. 2013 ~ 2018. Covers Analysis, Probability, Linear Algebra, Complex Analysis, Numerical Analysis, Statistics, Optimization, Algebraic Topology, Quantum Field Theory, and more.\n\n# Related Awesome Lists\n* [Theoretical Computer Science](https:\u002F\u002Fgithub.com\u002Fmostafatouny\u002Fawesome-theoretical-computer-science)\n\n# License\n\n[![CC0](http:\u002F\u002Fi.creativecommons.org\u002Fp\u002Fzero\u002F1.0\u002F88x31.png)](http:\u002F\u002Fcreativecommons.org\u002Fpublicdomain\u002Fzero\u002F1.0\u002F)\n\nTo the extent possible under law, [Cyrille Rossant](http:\u002F\u002Fcyrille.rossant.net) has waived all copyright and related or neighboring rights to this work.\n","awesome-math 是一个精心整理的数学资源列表，涵盖了从基础到高级的各种数学领域。该项目主要以 Python 语言编写，提供了一个全面且分类详细的数学学习和研究资料库，包括学习平台、工具、书籍、会议信息等，并且大部分资源都是免费的。它适合学生、教师、研究人员以及任何对数学感兴趣的人士使用，无论是为了学术研究还是个人兴趣提升，都能在这里找到有价值的参考资料。",2,"2026-06-11 03:53:30","trending"]