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# Awesome Math [![Awesome](https://cdn.rawgit.com/sindresorhus/awesome/d7305f38d29fed78fa85652e3a63e154dd8e8829/media/badge.svg)](https://github.com/sindresorhus/awesome)
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A curated list of awesome mathematics resources.
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# Contents
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<!-- START_TOC -->
* [Contents ](#contents )
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* [General Resources ](#general-resources )
* [Learning Platforms ](#learning-platforms )
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* [Learn to Learn ](#learn-to-learn )
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* [Youtube Series ](#youtube-series )
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* [Tools ](#tools )
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* [Questions and Answers ](#questions-and-answers )
* [Encyclopedia ](#encyclopedia )
* [Books ](#books )
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* [Blogs ](#blogs )
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* [Misc ](#misc )
* [Lecture Notes ](#lecture-notes )
* [Foundations of Mathematics ](#foundations-of-mathematics )
* [Set Theory ](#set-theory )
* [Logic ](#logic )
* [Category Theory ](#category-theory )
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* [Type Theory ](#type-theory )
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* [Homotopy Type Theory ](#homotopy-type-theory )
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* [Surreal Numbers ](#surreal-numbers )
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* [Number Theory ](#number-theory )
* [Algebraic Number Theory ](#algebraic-number-theory )
* [Analytic Number Theory ](#analytic-number-theory )
* [Algebra ](#algebra )
* [Abstract Algebra ](#abstract-algebra )
* [Group Theory ](#group-theory )
* [Linear Algebra ](#linear-algebra )
* [Ring Theory ](#ring-theory )
* [Galois Theory ](#galois-theory )
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* [Lie Algebras ](#lie-algebras )
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* [Combinatorics ](#combinatorics )
* [Graph Theory ](#graph-theory )
* [Geometry and Topology ](#geometry-and-topology )
* [Differential Geometry ](#differential-geometry )
* [Algebraic Geometry ](#algebraic-geometry )
* [Topology ](#topology )
* [Algebraic Topology ](#algebraic-topology )
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* [Analysis ](#analysis )
* [Real Analysis ](#real-analysis )
* [Harmonic Analysis ](#harmonic-analysis )
* [Complex Analysis ](#complex-analysis )
* [Functional Analysis ](#functional-analysis )
* [Measure Theory ](#measure-theory )
* [Ordinary Differential Equations ](#ordinary-differential-equations )
* [Partial Differential Equations ](#partial-differential-equations )
* [Probability and Statistics ](#probability-and-statistics )
* [Probability Theory ](#probability-theory )
* [Statistics ](#statistics )
* [Statistical Learning ](#statistical-learning )
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* [Stochastic processes ](#stochastic-processes )
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* [Numerical Analysis ](#numerical-analysis )
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* [Signal processing ](#signal-processing )
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* [Mathematics for Computer Science ](#mathematics-for-computer-science )
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* [Mathematical Biology ](#mathematical-biology )
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* [Mathematical Physics ](#mathematical-physics )
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* [License ](#license )
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<!-- END_TOC -->
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# General Resources
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## Learning Platforms
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* [Khan Academy ](https://www.khanacademy.org/math )
* [Coursera ](https://www.coursera.org/courses?query=mathematics&languages=en )
* [MIT OpenCourseWare ](http://ocw.mit.edu/courses/mathematics/ )
* [edX ](https://www.edx.org/course/subject/math )
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* [Brilliant ](https://brilliant.org/courses/#math-foundational )
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* [WooTube ](https://misterwootube.com/ )
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* [Mathigon ](https://mathigon.org/ )
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## Learn to Learn
* [Understanding Mathematics ](https://github.com/nelson-brochado/understanding-math )
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## Youtube Series
* [Brandon Foltz ](https://www.youtube.com/user/BCFoltz/playlists?view=1&sort=da&flow=grid )
* [3blue1brown ](https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw/playlists )
* [NPTEL ](https://www.youtube.com/watch?v=VVYLpmKRfQ8&list=PL6C92B335BD4238AB )
* [Prof. Leonard ](https://www.youtube.com/watch?v=9FtHB7V14Fo&list=PL5102DFDC6790F3D0 )
* [Crash Course ](https://www.youtube.com/watch?v=zouPoc49xbk&list=PL8dPuuaLjXtNM_Y-bUAhblSAdWRnmBUcr )
* [Harvard ](https://www.youtube.com/watch?v=KbB0FjPg0mw&list=PL2SOU6wwxB0uwwH80KTQ6ht66KWxbzTIo )
* [MIT ](https://www.youtube.com/watch?v=VPZD_aij8H0&list=PLUl4u3cNGP60uVBMaoNERc6knT_MgPKS0 )
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## Tools
* [Symbolab ](https://www.symbolab.com/ )
* [Desmos ](https://www.desmos.com/calculator )
* [Math Words ](http://www.mathwords.com/ )
* [Wolfram Alpha ](http://www.wolframalpha.com/ )
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* [Sympy ](https://www.sympy.org/ )
* [Sagemath ](http://www.sagemath.org/ )
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* [Unit Converter ](https://unitconverter.net )
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## Questions and Answers
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* [Mathematics Stack Exchange ](http://math.stackexchange.com/ )
* [MathOverflow ](http://mathoverflow.net/ ) - for professional mathematicians
## Encyclopedia
* [Encyclopedia of Mathematics ](https://www.encyclopediaofmath.org )
* [Planetmath ](http://planetmath.org/ )
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* [ProofWiki ](https://proofwiki.org/wiki/Main_Page )
* [Wolfram Mathworld ](http://mathworld.wolfram.com/ )
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## Books
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* [Calculus: Basic Concepts for High Schools ](https://archive.org/details/TarasovCalculus ) - L.V. Tarasov
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* [Basics of Algebra, Topology, and Differential Calculus ](http://www.cis.upenn.edu/~jean/math-basics.pdf ) - Jean Gallier (University of Pennsylvania)
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* [Multivariable Calculus ](http://people.math.gatech.edu/%7Ecain/notes/calculus.html ) - G. Cain, J. Herod (Georgia Tech)
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* [Wikibooks ](https://en.wikibooks.org/wiki/Wikibooks:Mathematics_bookshelf )
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* [Online Mathematics Textbooks ](https://people.math.gatech.edu/~cain/textbooks/onlinebooks.html )
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* [Beginning and Intermediate Algebra ](http://www.wallace.ccfaculty.org/book/Beginning_and_Intermediate_Algebra.pdf )
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* [Free Mathematics Books ](https://github.com/EbookFoundation/free-programming-books/blob/master/free-programming-books.md#mathematics )
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* [Trigonometry ](http://www.mecmath.net/trig/trigbook.pdf )
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## Blogs
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* [BetterExplained ](https://betterexplained.com/ ) - Maintained by Kalid Azad
* [ILoveMaths ](http://ilovemaths.com/ ) - For grades 6 thru 12 in K-12 system
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* [3blue1brown ](https://www.3blue1brown.com/ ) - Animated Maths
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* [Mathsisfun ](https://www.mathsisfun.com ) simple text light weight site for students upto highschool
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* [MathematicsIsAScience ](https://calculus123.com/wiki/Peter_Saveliev ) - Peter Saveliev (Professor of mathematics at Marshall University, Huntington WV, USA)
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## Misc
* [Areas of mathematics on Wikipedia ](https://en.wikipedia.org/wiki/Areas_of_mathematics )
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* [Paul's Online Math Notes ](http://tutorial.math.lamar.edu/ ) - Paul Dawkins (Lamar University)
* [List of electronic textbooks ](http://faculty.atu.edu/mfinan/nnotes.html ) - Marcel B. Finan (Arkansas Tech University)
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* [Topology Atlas ](http://at.yorku.ca/topology/ )
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* [Recreations in Math ](http://djm.cc/library/Recreations_in_Mathematics_Licks_edited.pdf ) - H. E. Licks (1917)
* [Magic Squares and Cubes ](http://djm.cc/library/Magic_Squares_Cubes_Andrews_edited.pdf ) - W. S. Andrews (1917)
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* [Convex Optimization ](https://web.stanford.edu/~boyd/cvxbook/ ) - Stephen Boyd and Lieven Vandenberghe
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# Lecture Notes
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## Foundations of Mathematics
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* [Basic Concepts of Mathematics ](http://www.trillia.com/zakon1.html ) - Elias Zakon
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### Set Theory
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* [Sets, Relations, Functions ](http://www.cosc.brocku.ca/~duentsch/papers/methprimer1.html ) - Ivo Düntsch, Günther Gediga
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* [An Introduction to Set Theory ](http://www.math.toronto.edu/weiss/set_theory.pdf ) - William A. R. Weiss
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* [Set Theory and Foundations of Mathematics ](http://www.settheory.net/ ) - Sylvain Poirier
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* [Set Theory on the Stanford Encyclopedia of Philosophy ](http://plato.stanford.edu/entries/set-theory/ )
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### Logic
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* [Introduction to Logic ](http://logic.stanford.edu/intrologic/secondary/index.html ) - Michael Genesereth, Eric Kao (Stanford University)
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* [An Introduction to Formal Logic ](https://www.fecundity.com/codex/forallx.pdf ) - P.D. Magnus (University at Albany)
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* [A Problem Course in Mathematical Logic ](http://euclid.trentu.ca/math/sb/pcml/pcml-16.pdf ) - Stefan Bilaniuk (Trent University)
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* [Language, Proof, and Logic ](http://homepages.uc.edu/~martinj/Symbolic_Logic/341%20Syllabus,%20Textbook,%20Handouts,%20Notes/LPL%20textbook.pdf ) - Jon Barwise, John Etchemendy
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* [Mathematical Logic ](http://www.mathematik.uni-muenchen.de/~schwicht/lectures/logic/ws03/ml.pdf ) - Helmut Schwichtenberg
* [Mathematical Logic ](http://www.personal.psu.edu/t20/notes/logic.pdf ) - Stephen G. Simpson (Pennsylvania State University)
* [Formal Logic ](http://maude.sip.ucm.es/~miguelpt/papers/flogic.pdf ) - Miguel Palomino
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* [Predictive Arithmetic ](https://web.math.princeton.edu/~nelson/books/pa.pdf ) - Edward Nelson
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* [Proofs and Concepts: the fundamentals of abstract mathematics ](http://people.uleth.ca/~dave.morris/books/proofs+concepts.html ) - Joy Morris, Dave Morris
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* [Mathematical Reasoning: Writing and Proof ](https://www.tedsundstrom.com/mathreasoning ) - Ted Sundstrom
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* [Logic and Proof ](http://leanprover.github.io/logic_and_proof/ ) - Jeremy Avigad, Robert Y. Lewis, and Floris van Doorn
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* [QED - an interactive textbook ](https://teorth.github.io/QED ) - Terence Tao
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* [Open Logic Textbook ](http://builds.openlogicproject.org/ ) - collaborative effort, main contributors listed [here ](https://openlogicproject.org/people/ )
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### Category Theory
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* [Introduction to Category Theory and Categorical Logic ](http://www.mathematik.tu-darmstadt.de/~streicher/CTCL.pdf ) - Thomas Streicher
* [An Introduction to Category Theory ](http://www.cs.man.ac.uk/~hsimmons/zCATS.pdf ) - Harold Simmons
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* [Category Theory ](http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.211.4754&rep=rep1&type=pdf ) - Steve Awodey (Carnegie Mellon University)
* [Category Theory ](http://www.mathematik.uni-muenchen.de/~pareigis/Vorlesungen/04SS/Cats1.pdf ) - B. Pareigis
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* [Category Theory for Computing Science ](https://web.archive.org/web/20181221233252/http://www.math.mcgill.ca/triples/Barr-Wells-ctcs.pdf ) - Michael Barr, Charles Wells
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* [Toposes, Triples and Theories ](http://www.tac.mta.ca/tac/reprints/articles/12/tr12.pdf ) - Michael Barr, Charles Wells
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* [Abelian Categories ](http://www.tac.mta.ca/tac/reprints/articles/3/tr3abs.html ) - Peter Freyd
* [Categories and Groupoids ](http://www.tac.mta.ca/tac/reprints/articles/7/tr7abs.html ) - P. J. Higgins
* [Basic Concepts of Enriched Category Theory ](http://www.tac.mta.ca/tac/reprints/articles/10/tr10abs.html ) - G. M. Kelley
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* [Abstract and Concrete Categories: The Joy of Cats ](http://www.tac.mta.ca/tac/reprints/articles/17/tr17abs.html ) - Jiri Adamek, Horst Herrlich, George Strecker
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* [Seven Sketches in Compositionality: An Invitation to Applied Category Theory ](http://math.mit.edu/~dspivak/teaching/sp18/7Sketches.pdf ) - Brendan Fong and David I. Spivak (MIT)
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* [Category Theory in Context ](http://www.math.jhu.edu/~eriehl/context/ ) - Emily Riehl (John Hopkins University)
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### Type Theory
* [Proofs and Types ](http://www.paultaylor.eu/stable/prot.pdf ) - Jean-Yves Girard
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* [Intuitionistic Type Theory ](https://archive-pml.github.io/martin-lof/pdfs/Bibliopolis-Book-retypeset-1984.pdf ) - Per Martin-Lof
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* [Type Theory and Functional Programming ](https://www.cs.kent.ac.uk/people/staff/sjt/TTFP/ ) - Simon Thompson
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* [Programming in Martin-Lof’ s Type Theory ](http://www.cse.chalmers.se/research/group/logic/book/book.pdf ) - Bengt Nordstrom, Kent Petersson, Jan M. Smith
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### Homotopy Type Theory
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* [Homotopy Type Theory ](https://hottheory.files.wordpress.com/2013/03/hott-online-611-ga1a258c.pdf )
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### Surreal Numbers
* [Surreal Numbers - How two ex-students turned on to pure mathematics and found total happiness ](http://www.math.harvard.edu/~knill/teaching/mathe320_2015_fall/blog15/surreal1.pdf ) - D. E. Knuth
* [An Introduction to Surreal Numbers ](https://www.whitman.edu/Documents/Academics/Mathematics/Grimm.pdf ) - Gretchen Grimm
* [Surreal Numbers and Games ](http://web.mit.edu/sp.268/www/2010/surreal.pdf )
* [Conway names, the simplicity hierarchy and the surreal number tree ](http://www.ohio.edu/people/ehrlich/ConwayNames.pdf ) - Philip Ehrlich
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## Number Theory
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* [Elementary Number Theory: Primes, Congruences, and Secrets ](http://wstein.org/ent/ent.pdf ) - William Stein
* [Elementary Number Theory ](http://www.iiserpune.ac.in/~ayan/MTH312/%28127%29.pdf ) - W. Edwin Clark (University of South Florida)
* [A Course on Number Theory ](http://www.maths.qmul.ac.uk/~pjc/notes/nt.pdf ) - Peter J. Cameron
* [A Computational Introduction to Number Theory and Algebra ](http://shoup.net/ntb/ntb-v2.pdf ) - Victor Shoup
* [Number Theory: A Contemporary Introduction ](http://math.uga.edu/~pete/4400FULL.pdf ) - Pete L. Clark
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* [An Introduction to the Theory of Numbers ](http://www.trillia.com/moser-number.html ) - Leo Moser
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* [Yet Another Introductary Number Theory Textbook ](https://www.poritz.net/jonathan/share/yaintt/ ) - Jonathan A. Poritz
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* [Elementary Number Theory ](https://napocaro.files.wordpress.com/2015/02/david_m-_burton_elementary_number_theory_sixth_bookfi-org.pdf ) - David M. Burton
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### Algebraic Number Theory
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* [Introduction to Algebraic Number Theory ](http://www1.spms.ntu.edu.sg/~frederique/ANT10.pdf )
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* [Introduction to Algebraic Number Theory ](http://www1.spms.ntu.edu.sg/~frederique/ANT10.pdf ) - F. Oggier
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* [Algebraic Number Theory ](http://www.jmilne.org/math/CourseNotes/ANT.pdf ) - J.S. Milne
* [Algebraic Number Theory Course Notes ](http://people.math.gatech.edu/~mbaker/pdf/ANTBook.pdf ) - Matthew Baker (Georgia Tech)
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* [A Course In Algebraic Number Theory ](http://www.math.uiuc.edu/~r-ash/ANT.html ) - Robert Ash
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### Analytic Number Theory
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* [Introduction to Analytic Number Theory ](http://www.math.uiuc.edu/~hildebr/ant/main.pdf ) - A.J. Hildebrand (University of Illinois)
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* [Elements of Analytic Number Theory ](http://math.nsc.ru/~vdovin/lectures/numth_eng.pdf ) - P. S. Kolesnikov, E. P. Vdovin (Novosibirsk)
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* [Analytic Number Theory ](http://www.mathematik.uni-muenchen.de/~forster/v/ann/annth_all.pdf ) - Otto Forster (LMU Munich)
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* [Analytic Number Theory - Lecture Notes based on Davenport’ s book ](http://www2.math.uu.se/~astrombe/analtalt08/www_notes.pdf ) - Andreas Strömbergsson
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## Algebra
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* [A Course in Universal Algebra ](http://www.math.uwaterloo.ca/~snburris/htdocs/ualg.html ) - S. Burris, H.P. Sankappanavar
* [A Course in Commutative Algebra ](https://faculty.math.illinois.edu/~r-ash/ComAlg.html ) - Robert Ash
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* [First Course in Algebra ](http://djm.cc/library/First_Algebra_Hawkes_Luby_Touton_edited.pdf ) - Herbert E. Hawkes, William A. Luby, Frank C. Touton (1910)
* [Second Course in Algebra ](http://djm.cc/library/Second_Algebra_Hawkes_Luby_Touton_edited.pdf ) - Herbert E. Hawkes, William A. Luby, Frank C. Touton (1911)
* [Algebra: An Elementary Text-Book, Part I ](http://djm.cc/library/Algebra_Elementary_Text-Book_Part_I_Chrystal_edited.pdf ) - G. Chrystal (1904)
* [Algebra: An Elementary Text-Book, Part II ](http://djm.cc/library/Algebra_Elementary_Text-Book_Part_II_Chrystal_edited02.pdf ) - G. Chrystal (1900)
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### Abstract Algebra
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* [Introduction to Abstract Algebra ](https://zodml.org/sites/default/files/Introduction_to_Abstract_Algebra_0.pdf ) - D. S. Malik, John N. Mordeson, M.K. Sen (Creighton University)
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* [Introduction to Modern Algebra ](http://aleph0.clarku.edu/~djoyce/ma225/algebra.pdf ) - David Joyce (Clark University)
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* [Algebraic Methods ](http://www1.spms.ntu.edu.sg/~frederique/AA11.pdf ) - F. Oggier
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* [Abstract Algebra : Theory and Applications ](http://abstract.ups.edu/download/aata-20150812.pdf ) - Thomas W. Judson, Robert A. Beezer (Austin State University)
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* [An Undergraduate Course in Abstract Algebra ](http://www.maths.usyd.edu.au/u/bobh/UoS/rfwhole.pdf ) - Robert Howlett
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* [Elements of Abstract and Linear Algebra ](http://www.math.miami.edu/~ec/book ) - E.H. Connell (University of Miami)
* [Abstract Algebra: The Basic Graduate Year ](http://www.math.uiuc.edu/~r-ash/Algebra.html ) - Robert Ash
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* [Abstract Algebra: Harvard Extension (Archived) ](https://web.archive.org/web/20150528171650/extension.harvard.edu/open-learning-initiative/abstract-algebra ) - Benedict Gross
* [Abstract Algebra: Harvard Extension Videos ](https://www.youtube.com/playlist?list=PLA58AC5CABC1321A3 ) - Benedict Gross
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### Group Theory
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* [Notes on Group Theory ](https://www2.bc.edu/mark-reeder/Groups.pdf ) - Mark Reeder
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* [Group Theory ](http://www.jmilne.org/math/CourseNotes/GT.pdf ) - J.S. Milne
* [Notes on Finite Group Theory ](http://www.maths.qmul.ac.uk/~pjc/notes/gt.pdf ) - Peter J. Cameron
2018-03-04 17:53:38 -05:00
* [Group Theory ](http://www.cns.gatech.edu/GroupTheory/index.html ) - Pedrag Civitanovic
2015-08-31 16:34:54 -04:00
2015-09-02 05:47:53 -04:00
### Linear Algebra
2015-08-31 16:12:50 -04:00
2015-09-02 06:56:43 -04:00
* [Fundamentals of Linear Algebra ](http://www.math.ubc.ca/~carrell/NB.pdf ) - James B. Carrell
2017-05-23 11:47:13 -04:00
* [Linear Algebra and Matrices ](https://web.archive.org/web/20140824074655/http://mathstat.helsinki.fi/~fluch/linear_algebra_1-sp07/la1.pdf ) - Martin Fluch
2015-09-02 06:56:43 -04:00
* [Vector Space Theory ](http://www.maths.usyd.edu.au/u/bobh/UoS/MATH2902/vswhole.pdf ) - Robert Howlett
2017-11-10 08:48:36 -05:00
* [Linear Algebra ](http://joshua.smcvt.edu/linearalgebra ) - Jim Hefferon
2015-09-02 06:56:43 -04:00
* [Linear Algebra ](http://www.calpoly.edu/~jborzell/Courses/Year%2010-11/Fall%202010/Petersen-Linear_Algebra-Math_306.pdf ) - Peter Petersen
2016-09-15 11:45:50 -04:00
* [MIT OpenCourseWare Lectures on Linear Algebra (18.06) as Jupyter Notebooks ](https://github.com/juanklopper/MIT_OCW_Linear_Algebra_18_06 ) - Juan Klopper
2018-02-11 17:44:52 -05:00
* [Linear Algebra ](http://joshua.smcvt.edu/linalg.html ) - Jim Hefferon
* [Elementary Linear Algebra ](http://www.numbertheory.org/book/ ) - Keith Matthews
2018-03-02 14:35:38 -05:00
* [A First Courses in Linear Algebra ](http://linear.ups.edu/ ) - Rob Breezer
2018-03-04 17:53:38 -05:00
* [Linear Algebra ](https://www.math.ucdavis.edu/~linear/ ) - David Cherney, Tom Denton, Andrew Waldron
* [Introduction to vectors and tensors, Vol 1: linear and multilinear algebra ](http://oaktrust.library.tamu.edu/handle/1969.1/2502 ) - Ray M Bowen, C. C. Wang
* [Introduction to vectors and tensors, Vol 2: vector and tensor analysis ](http://oaktrust.library.tamu.edu/handle/1969.1/3609 ) - Ray M Bowen, C. C. Wang
2018-06-07 03:13:58 -04:00
* [Introduction to Applied Linear Algebra ](https://web.stanford.edu/~boyd/vmls/vmls.pdf ) - Stephen Boyd (Stanford University), Lieven Vandenberghe (UCLA)
2019-04-08 21:39:19 -04:00
* [Linear Algebra Done Wrong ](https://www.math.brown.edu/~treil/papers/LADW/LADW_2017-09-04.pdf ) - Sergei Treil
2019-08-02 05:20:26 -04:00
* [Immersive Linear Algebra ](http://immersivemath.com/ila/index.html ) - J. Ström, K. Åström, and T. Akenine-Möller
2020-08-03 00:23:14 -04:00
* [Interactive Linear Algebra ](https://textbooks.math.gatech.edu/ila/ ) - Dan Margalit and Joseph Rabinoff
* [Linear Algebra, Infinite Dimensions, and Maple ](https://people.math.gatech.edu/~herod/Hspace/Hspace.html ) - James Herod
2015-08-31 16:12:50 -04:00
2015-09-02 05:47:53 -04:00
### Ring Theory
2015-08-31 16:34:54 -04:00
* [Foundations of Module and Ring Theory ](http://www.math.uni-duesseldorf.de/~wisbauer/book.pdf ) - Robert Wisbauer (University of Düsseldorf)
2015-09-02 05:47:53 -04:00
### Galois Theory
2015-08-31 16:12:50 -04:00
2015-08-31 16:25:02 -04:00
* [An Introduction to Galois Theory ](http://www.maths.gla.ac.uk/~ajb/dvi-ps/Galois.pdf ) - Andrew Baker (University of Glasgow)
* [Fields and Galois Theory ](http://www.jmilne.org/math/CourseNotes/FT.pdf ) - J.S. Milne
2015-09-02 06:56:43 -04:00
* [Galois theory ](http://homepages.warwick.ac.uk/~masda/MA3D5/Galois.pdf ) - Miles Reid
2019-10-16 03:28:22 -04:00
* [Galois Theory ](https://math.illinoisstate.edu/schebol/teaching/407-14-files/Stewart-galois_theory.pdf ) - Ian Stewart
2015-08-31 16:12:50 -04:00
2018-03-02 14:35:38 -05:00
### Lie Algebras
* [Lie Algebras ](http://www.math.harvard.edu/~shlomo/docs/lie_algebras.pdf ) - Shlomo Sternberg
2015-08-31 15:24:16 -04:00
2015-09-02 06:23:09 -04:00
## Combinatorics
* [Basic Combinatorics ](http://www.math.utk.edu/~wagner/papers/comb.pdf ) - Carl G. Wagner (University of Tennessee)
* [Applied Combinatorics ](http://people.math.gatech.edu/~trotter/book.pdf ) - Mitchel T. Keller, William T. Trotter
* [Notes on Combinatorics ](http://www.maths.qmul.ac.uk/~pjc/notes/comb.pdf ) - Peter J. Cameron
* [Analytic Combinatorics ](http://algo.inria.fr/flajolet/Publications/book.pdf ) - Philippe Flajolet, Robert Sedgewick
2018-02-11 17:44:52 -05:00
* [generatingfunctionology ](http://www.math.upenn.edu/~wilf/DownldGF.html ) - Herbert Wilf
2015-09-02 06:23:09 -04:00
### Graph Theory
* [Graph Theory: Lecture Notes ](http://www.personal.psu.edu/cxg286/Math485.pdf ) - Christopher Griffin
* [Graph Theory ](http://www.cs.unibo.it/babaoglu/courses/cas00-01/tutorials/GraphTheory.pdf ) - Reinhard Diestel
## Geometry and Topology
* [Fundamentals of Geometry ](http://polly.phys.msu.ru/~belyaev/geometry.pdf ) - Oleg A. Belyaev
2018-02-11 17:44:52 -05:00
* [A=B ](https://www.math.upenn.edu/~wilf/AeqB.html ) - M. Petkovsek, H. Wilf, D. Zeilberger
* [Elements ](http://aleph0.clarku.edu/~djoyce/java/elements/toc.html ) - Euclid
* [Euclid's Elements Redux ](http://starrhorse.com/euclid/ ) - Daniel Callahan
2018-03-02 14:35:38 -05:00
* [Mathematical Illustrations ](http://www.math.ubc.ca/~cass/graphics/manual/ ) - Bill Casselman
2020-08-03 00:23:14 -04:00
* [Byrne's Euclid ](https://www.c82.net/euclid/ ) - Oliver Byrne
2020-08-04 13:31:35 -04:00
* [Plane Geometry ](http://djm.cc/library/Plane_Geometry_Wentworth_Smith_edited.pdf ) - George Wentworth and David Eugene Smith (1913)
* [Planes and Spherical Trigonometry ](http://djm.cc/library/Plane_Spherical_Trigonometry_Wentworth_Smith_edited_2.pdf ) - George Wentworth and David Eugene Smith (1915)
* [Coordinate Geometry ](http://djm.cc/library/Coordinate_Geometry_Fine_Thompson_edited03.pdf ) - Henry Buchard Fine and Henry Dallas Thompson (1911)
* [Analytic Geometry ](http://djm.cc/library/Analytic_Geometry_Siceloff_Wentworth_Smith_edited.pdf ) - Lewis Parker Siceloff, George Wentworth, David Eugene Smith (1922)
2015-09-02 06:23:09 -04:00
### Differential Geometry
2015-09-02 06:56:43 -04:00
* [Introduction to Differential Geometry ](https://people.math.ethz.ch/~salamon/PREPRINTS/diffgeo.pdf ) - Joel W. Robbin, Dietmar A. Salamon
2015-09-02 06:23:09 -04:00
* [Notes on Differential Geometry and Lie Groups ](http://www.seas.upenn.edu/~jean/diffgeom.pdf ) - Jean Gallier (University of Pennsylvania)
* [Topics in Differential Geometry ](http://www.mat.univie.ac.at/~michor/dgbook.pdf ) - Peter W. Michor
* [Lectures on Differential Geometry ](http://mysite.science.uottawa.ca/rossmann/Differential%20Geometry%20book_files/Diffgeo.pdf ) - Wulf Rossmann
* [An Introduction to Riemannian Geometry ](http://www.matematik.lu.se/matematiklu/personal/sigma/Riemann.pdf ) - Sigmundur Gudmundsson (Lund University)
2018-02-11 17:44:52 -05:00
* [The Geometry and Topology of Three-Manifolds ](http://msri.org/publications/books/gt3m/ ) - W. Thurston
2018-03-04 16:36:01 -05:00
* [Semi-Riemann Geometry and General Relativity ](http://www.math.harvard.edu/~shlomo/docs/semi_riemannian_geometry.pdf ) - Shlomo Sternberg
2015-09-02 06:23:09 -04:00
### Algebraic Geometry
* [A Brief Introduction to Algebraic Geometry ](http://www.sci.ccny.cuny.edu/~ksda/PostedPapers/rickksda1107.pdf ) - R.C. Churchill
* [Introduction to Algebraic Geometry ](http://www.math.lsa.umich.edu/~idolga/631.pdf ) - Igor V. Dolgachev
* [Foundations of Algebraic Geometry ](http://math.stanford.edu/~vakil/216blog/FOAGjun1113public.pdf ) - Ravi Vakil
* [Algebraic Geometry ](http://www.cis.upenn.edu/~jean/algeoms.pdf ) - Jean Gallier, Stephen S. Shatz (University of Pennsylvania)
* [Algebraic Geometry ](http://www.jmilne.org/math/CourseNotes/AG.pdf ) - J.S. Milne
* [Algebraic Geometry ](http://www.mathematik.uni-kl.de/~gathmann/class/alggeom-2002/main.pdf ) - Andreas Gathmann (University of Kaiserslautern)
2018-11-18 21:16:20 -05:00
* [The Stacks Project ](https://stacks.math.columbia.edu/ ) - Maintained by Aise Johan de Jong (Columbia)
2015-09-02 06:23:09 -04:00
### Topology
2018-11-30 15:20:18 -05:00
* [Elementary Applied Topology ](https://www.math.upenn.edu/~ghrist/notes.html ) - Robert Ghrist (UPenn)
2015-09-02 06:23:09 -04:00
* [Introduction to Topology ](http://www.math.colostate.edu/~renzo/teaching/Topology10/Notes.pdf )
* [Introduction to Topology ](http://www.math.bme.hu/~kalex/Teaching/Spring10/Topology/TopNotes_Spring10.pdf ) - Alex Küronya
* [Introductory Topology ](http://www.math.clemson.edu/~jimlb/Teaching/2009-10/Math986/Topology.pdf ) - Jim L. Brown
* [General Topology ](http://webusers.imj-prg.fr/~pierre.schapira/lectnotes/Topo.pdf ) - Pierre Schapira (Paris VI University)
* [Elementary Topology Problem Textbook ](http://www.pdmi.ras.ru/~olegviro/topoman/eng-book-nopfs.pdf )
* [General Topology ](http://www.math.ku.dk/~moller/e03/3gt/notes/gtnotes.pdf ) - Jesper M. Møller
### Algebraic Topology
* [Algebraic Topology ](http://www.math.cornell.edu/~hatcher/AT/AT.pdf ) - Allen Hatcher
* [A Concise Course in Algebraic Topology ](http://www.math.uchicago.edu/~may/CONCISE/ConciseRevised.pdf ) - J. P. May
* [Introduction to Algebraic Topology ](http://www.math.muni.cz/~cadek/at/at.pdf ) - Martin Cadek
* [Algebra and Topology ](http://webusers.imj-prg.fr/~pierre.schapira/lectnotes/AlTo.pdf ) - Pierre Schapira (Paris VI University)
* [Lecture Notes in Algebraic Topology ](http://www.indiana.edu/~jfdavis/teaching/m623/book.pdf ) - James F. Davis, Paul Kirk (Indiana University)
* [Algebraic Topology ](https://www.ma.utexas.edu/ibl1/courses/resources/12_15_07_grad_alg_top_mooremethod.pdf ) - Michael Starbird
* [Lecture Notes on Algebraic Topology ](http://www.math.nus.edu.sg/~matwujie/ma5209.pdf ) - Jie Wu
2015-08-31 13:24:42 -04:00
## Analysis
2015-09-02 05:47:53 -04:00
### Real Analysis
2015-08-31 16:46:37 -04:00
2018-02-11 17:44:52 -05:00
* [MIT OpenCourseWare Lectures on Calculus ](https://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005/textbook/ ) - G. Strang
2018-03-02 14:35:38 -05:00
* [Elementary Calculus: An Approach Using Infinitesimals ](http://www.math.wisc.edu/~keisler/calc.html ) - Professor H. Jerome Keisler
2015-08-31 16:46:37 -04:00
* [An Introduction to Real Analysis ](https://www.math.ucdavis.edu/~hunter/intro_analysis_pdf/intro_analysis.pdf ) - John K. Hunter (University of California at Davis)
2015-09-02 06:56:43 -04:00
* [Introduction to Real Analysis ](http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_REAL_ANALYSIS.PDF ) - William F. Trench (Trinity University, Texas)
2018-03-04 17:26:46 -05:00
* [Basic Analysis: Introduction to Real Analysis ](http://www.jirka.org/ra/realanal.pdf ) - Jiří Lebl
2015-08-31 16:46:37 -04:00
* [Elementary Real Analysis ](http://prac.im.pwr.wroc.pl/~kwasnicki/pl/stuff/tbb-hyper.pdf ) - Thomson, Bruckner
* [Lecture Notes in Real Analysis ](http://ms.mcmaster.ca/~sawyer/Publications/Real_Analysis.pdf ) - Eric T. Sawyer (McMaster University)
2015-09-02 06:56:43 -04:00
* [Real Analysis ](http://math.harvard.edu/~ctm/papers/home/text/class/harvard/212a/course/course.pdf ) - C. McMullen
2017-05-23 11:47:13 -04:00
* [Real Analysis for Graduate Students ](http://bass.math.uconn.edu/3rd.pdf ) - Richard F. Bass
* [Modern Real Analysis ](http://www.math.purdue.edu/~torres/pubs/Modern-real-analysis.pdf ) - William P. Ziemer (Indiana University)
2018-03-02 14:35:38 -05:00
* [Mathematical Analysis Vol I ](http://www.trillia.com/zakon-analysisI.html ) - Elias Zakon
* [Mathematical Analysis Vol II ](http://www.trillia.com/zakon-analysisII.html ) - Elias Zakon
2018-03-04 16:36:01 -05:00
* [Advanced Calculus ](http://www.math.harvard.edu/~shlomo/docs/Advanced_Calculus.pdf ) - Lynn Loomis, Schlomo Sternberg
2018-03-04 17:05:07 -05:00
* [ Analysis of Functions of a Single Variable ](http://spot.colorado.edu/~baggett/analysis.html ) - Lawerence Baggett
2018-03-04 16:36:01 -05:00
* [The Calculus of Functions of Several Variables ](http://www.synechism.org/wp/the-calculus-of-functions-of-several-variables/ ) - Dan Sloughter
2018-03-04 17:26:46 -05:00
* [A ProblemText in Advanced Calculus ](http://web.pdx.edu/~erdman/PTAC/problemtext_pdf.pdf ) - John M. Erdman
2018-03-04 17:53:38 -05:00
* [Calculus and Linear Algebra. Vol. 1 ](http://hdl.handle.net/2027/spo.5597602.0001.001 ) - Wilfred Kaplan, Donald J. Lewis
* [Calculus and Linear Algebra. Vol. 2 ](https://quod.lib.umich.edu/s/spobooks/5597602.0002.001 ) - Wilfred Kaplan, Donald J. Lewis
* [Introduction to Calculus I and II ](http://www.math.odu.edu/~jhh/counter10.html ) - J.H. Heinbockel
* [Active Calculus ](http://faculty.gvsu.edu/boelkinm/Home/Active_Calculus.html ) - Matt Boelkins
2019-04-08 21:39:19 -04:00
* [Supplements to the Exercises in Chapters 1-7 of Walter Rudin's "Principles of Mathematical Analysis" ](https://math.berkeley.edu/~gbergman/ug.hndts/#Rudin ) - George M. Bergman
2020-08-04 13:31:35 -04:00
* [Calculus Made Easy ](http://calculusmadeeasy.org/ ) - Silvanus P. Thompson (1910)
* [Elements of Differential and Integral Calculus ](http://djm.cc/library/Elements_Differential_Integral_Calculus_Granville_edited_2.pdf ) - William Anthony Granville (1911)
2015-08-31 16:46:37 -04:00
2015-09-02 05:47:53 -04:00
### Harmonic Analysis
2015-08-31 16:46:37 -04:00
2015-08-31 17:01:33 -04:00
* [Harmonic Analysis Lecture Notes ](http://www.math.uiuc.edu/~laugesen/545/545Lectures.pdf ) - Richard S. Laugesen (University of Illinois at Urbana– Champaign)
* [Harmonic Analysis ](http://www.math.uchicago.edu/~schlag/harmonicnotes.pdf ) - W. Schlag
* [Lecture Notes: Fourier Transform and its Applications ](https://see.stanford.edu/materials/lsoftaee261/book-fall-07.pdf ) - Brad Osgood
* [Fourier Analysis ](http://www.reed.edu/physics/courses/Physics331.f08/pdf/Fourier.pdf ) - Lucas Illing
2015-08-31 16:46:37 -04:00
2015-09-02 05:47:53 -04:00
### Complex Analysis
2015-08-31 16:46:37 -04:00
2015-08-31 17:12:10 -04:00
* [Introduction to Complex Analysis ](http://www.unc.edu/math/Faculty/met/complex.pdf ) - Michael Taylor
* [An Introduction to Complex Analysis and Geometry ](http://www.math.uiuc.edu/~jpda/jpd-complex-geometry-book-5-refs-bip.pdf ) - John P. D'Angelo (University of Illinois)
* [A First Course in Complex Analysis ](http://math.sfsu.edu/beck/papers/complex.pdf ) - Matthias Beck, Gerald Marchesi, Dennis Pixton, Lucas Sabalka
* [A Guide to Complex Variables ](http://www.math.wustl.edu/~sk/books/guide.pdf ) - Steven G. Krantz
* [Complex Analysis ](http://www.maths.manchester.ac.uk/~cwalkden/complex-analysis/complex_analysis.pdf ) - Charles Walkden
* [Complex Analysis ](http://www.math.ku.dk/noter/filer/koman-12.pdf ) - Christian Berg
* [Complex Variables ](http://people.math.sc.edu/girardi/m7034/book/AshComplexVariablesWithHyperlinks.pdf ) - R. B. Ash, W.P. Novinger
* [Complex Analysis ](http://www.maths.lth.se/matematiklu/personal/olofsson/CompHT06.pdf ) - Christer Bennewitz
2017-05-23 11:47:13 -04:00
* [Complex Analysis ](https://web.archive.org/web/20150620124453/https://www.math.washington.edu/~marshall/math_536/Notes.pdf ) - Donald E. Marshall
2015-09-02 06:56:43 -04:00
* [A Concise Course in Complex Analysis and Riemann Surfaces ](http://www.math.uchicago.edu/~schlag/bookweb.pdf ) - Wilhelm Schlag
2018-02-11 17:44:52 -05:00
* [Complex Analysis ](http://people.math.gatech.edu/%7Ecain/winter99/complex.html ) - G. Cain (Georgia Tech)
2020-08-03 00:23:14 -04:00
* [Complex Analysis ](https://complex-analysis.com/ ) - Juan Carlos Ponce Campuzano
2015-08-31 16:46:37 -04:00
2015-09-02 05:47:53 -04:00
### Functional Analysis
2015-08-31 16:46:37 -04:00
2015-08-31 17:21:11 -04:00
* [An Introduction to Functional Analysis ](http://www.math.uwaterloo.ca/~lwmarcou/Preprints/LinearAnalysis.pdf ) - Laurent W. Marcoux (University of Waterloo)
* [Functional Analysis: Lecture Notes ](http://users.math.msu.edu/users/jeffrey/920/920notes.pdf ) - Jeff Schenker (Michigan State University)
2015-09-02 06:56:43 -04:00
* [Functional Analysis Lecture Notes ](http://www.math.hkbu.edu.hk/~zeng/Teaching/math3680/FAnotes.pdf ) - T.B. Ward (University of East Anglia)
* [Functional Analysis ](http://www.maths.lancs.ac.uk/~belton/www/notes/fa_notes.pdf ) - Alexander C. R. Belton
2015-08-31 17:21:11 -04:00
* [Topics in Real and Functional Analysis ](https://www.mat.univie.ac.at/~gerald/ftp/book-fa/fa.pdf ) - Gerald Teschl
* [Functional Analysis ](http://www2.math.ou.edu/~cremling/teaching/lecturenotes/fa-new/LN-I.pdf ) - Christian Remling
2019-04-08 21:43:39 -04:00
* [Theory of Functions of a Real Variable ](http://www.math.harvard.edu/~shlomo/docs/Real_Variables.pdf ) - Shlomo Sternberg
2018-03-04 17:05:07 -05:00
* [Functional Analysis ](http://spot.colorado.edu/~baggett/functional.html ) - Lawerence Baggett
2015-08-31 16:46:37 -04:00
2015-09-02 05:47:53 -04:00
### Measure Theory
2015-08-31 16:46:37 -04:00
2015-09-02 06:56:43 -04:00
* [An Introduction to Measure Theory ](https://terrytao.files.wordpress.com/2011/01/measure-book1.pdf ) - Terence Tao (UCLA)
2015-08-31 17:32:32 -04:00
* [Lecture Notes on Measure Theory and Functional Analysis ](http://www.mat.uniroma2.it/~cannarsa/cam_0607.pdf ) - P. Cannarsa, T. D’ Aprile
* [Lecture Notes in Measure Theory ](http://www.math.chalmers.se/~borell/MeasureTheory.pdf ) - Christer Borell
* [A Crash Course on the Lebesgue Integral and Measure Theory ](http://www.gold-saucer.org/math/lebesgue/lebesgue.pdf ) - Steve Cheng
* [Measure Theory ](https://www.math.ucdavis.edu/~hunter/measure_theory/measure_notes.pdf ) - John K. Hunter (University of California at Davis)
* [Measure and Integration ](https://people.math.ethz.ch/~salamon/PREPRINTS/measure.pdf ) - Dietmar A. Salamon (ETH Zürich)
* [Lecture notes: Measure Theory ](http://www.math.ucsd.edu/~bdriver/240-00-01/Lecture_Notes/measurep.pdf ) - Bruce K. Driver
2015-08-31 16:46:37 -04:00
2015-08-31 17:32:32 -04:00
### Ordinary Differential Equations
2018-03-04 16:36:01 -05:00
* [Difference Equations To Differential Equations ](http://www.synechism.org/wp/difference-equations-to-differential-equations/ ) - Dan Sloughter
2015-08-31 17:32:32 -04:00
* [Ordinary Differential Equation ](https://www.math.uni-bielefeld.de/~grigor/odelec2008.pdf ) - Alexander Grigorian (University of Bielefeld)
* [Ordinary Differential Equations: Lecture Notes ](http://www.cs.bgu.ac.il/~leonid/ode_bio_files/Ionascu_LectNotes.pdf ) - Eugen J. Ionascu
* [Ordinary Differential Equations ](http://www.math.lmu.de/~philip/publications/lectureNotes/ODE.pdf ) - Peter Philip
* [Ordinary Differential Equations ](http://users.math.msu.edu/users/gnagy/teaching/ode.pdf ) - Gabriel Nagy
* [Ordinary Differential Equations and Dynamical Systems ](http://www.mat.univie.ac.at/~gerald/ftp/book-ode/ode.pdf ) - Gerald Teschl
2018-03-04 17:05:07 -05:00
* [Notes on Differential Equations ](http://leipper.org/manuals/zip-fill/dn-difeq-notes.pdf ) - Bob Terrell
2018-03-04 17:26:46 -05:00
* [Elementary Differential Equations ](http://digitalcommons.trinity.edu/mono/8/ ) - William F. Trench
* [Elementary Differential Equations With Boundary Value Problems ](http://digitalcommons.trinity.edu/mono/9/ ) - William F. Trench
* [Notes on Diffy Qs: Differential Equations for Engineers ](http://www.jirka.org/diffyqs/ ) - Jiří Lebl
2020-08-04 13:31:35 -04:00
* [Differential Equations ](http://djm.cc/library/Differential_Equations_Phillips_edited.pdf ) - H. B. Phillips (1922)
2015-08-31 17:32:32 -04:00
2015-09-02 05:47:53 -04:00
### Partial Differential Equations
2015-08-31 16:46:37 -04:00
2015-08-31 17:46:25 -04:00
* [Notes on Partial Differential Equations ](https://www.math.ucdavis.edu/~hunter/pdes/pde_notes.pdf ) - John K. Hunter (University of California at Davis)
* [Partial Differential Equations: Lecture Notes ](http://www.math.uni-leipzig.de/~miersemann/pdebook.pdf ) - Erich Miersemann (Leipzig University)
2018-02-11 17:44:52 -05:00
* [Linear Methods of Applied Mathematics ](http://www.mathphysics.com/pde/ ) - E. Harrell, J. Herod (Georgia Tech)
2015-08-31 16:46:37 -04:00
2015-09-02 05:47:53 -04:00
## Probability and Statistics
2015-08-31 13:24:42 -04:00
2015-09-02 05:47:53 -04:00
### Probability Theory
2015-08-31 15:24:16 -04:00
2015-09-02 05:14:04 -04:00
* [Introduction to Probability ](https://www.dartmouth.edu/~chance/teaching_aids/books_articles/probability_book/amsbook.mac.pdf ) - Charles M. Grinstead, J. Laurie Snell
* [Introduction to Probability ](http://vfu.bg/en/e-Learning/Math--Bertsekas_Tsitsiklis_Introduction_to_probability.pdf ) - Dimitri P. Bertsekas, John N. Tsitsiklis (MIT)
* [A Short Introduction to Probability ](http://www.maths.uq.edu.au/~kroese/asitp.pdf ) - Dirk P. Kroese (University of Queensland)
* [Probability: Theory and Examples ](https://www.math.duke.edu/~rtd/PTE/PTE4_1.pdf ) - Rick Durrett
2017-04-18 03:03:14 -04:00
* [Probability and Statistics Cookbook ](https://github.com/mavam/stat-cookbook/releases/download/0.2.3/stat-cookbook.pdf ) - Matthias Vallentin (UC Berkeley)
2015-09-05 05:31:38 -04:00
* [The Only Probability Cheatsheet You'll Ever Need ](http://www.wzchen.com/probability-cheatsheet/ ) - William Chen
2018-02-11 17:44:52 -05:00
* [An Introduction to Probability and Random Processes ](http://www.ellerman.org/Davids-Stuff/Maths/Rota-Baclawski-Prob-Theory-79.pdf ) - Gian-Carlo Rota, Kenneth Baclawski
2020-08-03 00:23:14 -04:00
* [Foundations of Constructive Probability Theory ](https://arxiv.org/pdf/1906.01803.pdf ) - Yuen-Kwok Chan
2015-09-02 05:14:04 -04:00
### Statistics
* [Lecture Notes on Statistical Theory ](http://homepages.math.uic.edu/~rgmartin/Teaching/Stat411/Notes/411notes.pdf ) - Ryan Martin (University of Illinois)
* [Introduction to Statistics and Data Analysis for Physicists ](http://www-library.desy.de/preparch/books/vstatmp_engl.pdf ) - Gerhard Bohm, Günter Zech
* [Probability and Mathematical Statistics ](http://www.iiserpune.ac.in/~ayan/MTH201/Sahoo_textbook.pdf ) - Prasanna Sahoo (University of Louisville)
* [Lectures on Statistics ](http://math.arizona.edu/~faris/stat.pdf ) - William G. Faris
* [Statistical Theory ](http://pages.pomona.edu/~ajr04747/Fall2009/Math152/Notes/Math152NotesFall09.pdf ) - Adolfo J. Rumbos
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* [Theory of Statistics ](http://mason.gmu.edu/~jgentle/books/MathStat.pdf ) - James E. Gentle (George Mason University)
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* [Theory of Statistics ](http://math.arizona.edu/~jwatkins/notests.pdf ) - Joseph C. Watkins (University of Arizona)
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* [Glossary of Data Modeling ](https://web.archive.org/web/20130523134625/http://www.aiaccess.net/e_gm.htm ) - AI Access
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* [Statistics Papers ](http://www.ats.ucla.edu/stat/papers/ ) - List of statistics papers curated by the Institute for Digital Research and Education (IDRE) at UCLA on methods such as bootstrap and factor invariance.
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* [NIST Handbook of Statistical Methods ](http://itl.nist.gov/div898/handbook/index.htm ) - Resource on practical statistics directed towards scientists and engineers.
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* [Concepts and Applications of Inferential Statistics ](http://vassarstats.net/textbook/ ) - Richard Lowry
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* [Rough set data analysis: A road to non-invasive knowledge discovery ](http://www.cosc.brocku.ca/~duentsch/papers/methprimer2.html ) - Ivo Düntsch, Günther Gediga
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* [Statistical Thinking for the 21st Century ](https://statsthinking21.org/ ) - Russell A. Poldrack
* [Odds and Ends: Introducing Probability & Decision with a Visual Emphasis ](https://jonathanweisberg.org/vip/ ) - Jonathan Weisberg
* [Seeing Theory ](https://seeing-theory.brown.edu/ ) - Daniel Kunin, Jingru Guo, Tyler Dae Devlin, and Daniel Xiang
* [Statistics Done Wrong ](https://www.statisticsdonewrong.com/ ) - Alex Reinhart
* [All of Statistics: A Concise Course in Statistical Inference ](https://link.springer.com/book/10.1007/978-0-387-21736-9 ) - Larry Wasserman
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### Statistical Learning
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* [An Introduction to Statistical Learning with Applications in R ](http://www-bcf.usc.edu/~gareth/ISL/ISLR%20First%20Printing.pdf ) - Gareth James, Daniela Witten, Trevor Hastie, Robert Tibshirani
* [The Elements of Statistical Learning ](http://web.stanford.edu/~hastie/Papers/ESLII.pdf ) - Trevor Hastie, Robert Tibshirani, Jerome Friedman
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* [Statistical Learning Theory ](https://web.stanford.edu/class/cs229t/notes.pdf ) - Percy Liang
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* [Reinforcement Learning: An Introduction ](https://webdocs.cs.ualberta.ca/~sutton/book/bookdraft2016sep.pdf ) - Richard S. Sutton, Andrew G. Barto
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### Stochastic processes
* [Lectures on Stochastic Processes ](http://www.math.tifr.res.in/~publ/ln/tifr24.pdf ) - K. Ito (Tata Institute of Fundamental Research, Bombay)
* [Probability and Stochastic Processes with Applications ](http://www.math.harvard.edu/~knill/teaching/math144_1994/probability.pdf ) - Oliver Knill (Harvard University)
* [Stochastic Processes ](http://statweb.stanford.edu/~adembo/math-136/nnotes.pdf ) - Amir Dembo (Stanford University)
* [Lecture Notes on Stochastic Processes ](http://www.mi.fu-berlin.de/wiki/pub/CompMolBio/MarkovKetten15/stochastic_processes_2011.pdf ) - Frank Noé, Bettina Keller and Jan-Hendrik Prinz (Freie Universität Berlin)
* [Introduction to Stochastic Processes - Lecture Notes ](https://www.ma.utexas.edu/users/gordanz/notes/introduction_to_stochastic_processes.pdf ) - Gordan Žitković (University of Texas)
* [Applied Stochastic Processes in science and engineering ](https://www.math.uwaterloo.ca/~mscott/Little_Notes.pdf ) - Matt Scott (University of Waterloo)
* [An Introduction to Stochastic Processes in Continuous Time ](http://www.math.leidenuniv.nl/~spieksma/colleges/sp-master/sp-hvz1.pdf ) - Flora Spieksma (Leiden University)
* [Markov Chains and Mixing Times ](http://pages.uoregon.edu/dlevin/MARKOV/markovmixing.pdf ) - David A. Levin, Yuval Peres, Elizabeth L. Wilmer
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* [Convergence of Stochastic Processes ](http://www.stat.yale.edu/~pollard/Books/1984book/pollard1984.pdf ) - David Pollard
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## Numerical Analysis
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* [Introduction to Numerical Analysis ](http://www.math.umd.edu/~dlevy/books/na.pdf ) - Doron Levy (University of Maryland)
* [A Concise Introduction to Numerical Analysis ](http://www.ima.umn.edu/~arnold/597.00-01/nabook.pdf ) - Douglas N. Arnold (University of Minnesota)
* [Numerical Analysis ](http://people.cs.uchicago.edu/~ridg/newna/nalrs.pdf ) - L. Ridgway Scott
* [Lectures In Basic Computational Numerical Analysis ](http://www.engr.uky.edu/~acfd/egr537-lctrs.pdf ) - J. M. McDonough (University of Kentucky)
* [Advanced Numerical Methods and Their Applications to Industrial Problems: Adaptive Finite Element Methods ](http://www.math.uni-bremen.de/~schmidt/SS04/YSU_Notes.pdf ) - Alfred Schmidt, Arsen Narimanyan
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* [Numerical Analysis for Engineers ](https://ece.uwaterloo.ca/~dwharder/NumericalAnalysis/ ) - Douglas Wilhelm Harder
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## Signal processing
* [Introduction to Signal Processing ](http://www.ece.rutgers.edu/~orfanidi/intro2sp/orfanidis-i2sp.pdf ) - Sophocles J. Orfanidis (Rutgers University)
* [Foundations of Signal Processing ](http://www.fourierandwavelets.org/FSP_v1.1_2014.pdf ) - Martin Vetterli, Jelena Kovacevic, Vivek K Goyal
* [An Introduction to Statistical Signal Processing ](https://ee.stanford.edu/~gray/sp.pdf ) - Robert M. Gray, Lee D. Davisson
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* [Think DSP ](https://greenteapress.com/wp/think-dsp/ ) - Allen B. Downey
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* [Linear algebra, signal processing, and wavelets. A unified approach. ](https://www.uio.no/studier/emner/matnat/math/MAT-INF2360/v15/kompendium/applinalgpython.pdf ) - Øyvind Ryan (University of Oslo)
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## Mathematics for Computer Science
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* [Mathematics for Computer Science ](https://people.csail.mit.edu/meyer/mcs.pdf ) - Eric Lehman, F. Thomson Leighton, Albert R. Meyer
* [Algorithms and Complexity ](http://www.math.upenn.edu/%7Ewilf/AlgComp3.html ) - H. Wilf
* [Lecture Notes on Optimization ](http://people.eecs.berkeley.edu/~varaiya/papers_ps.dir/NOO.pdf ) - Pravin Varaiya
* [Information Theory, Inference, and Learning Algorithms ](http://www.inference.org.uk/mackay/itila/book.html ) - David J. C. MacKay
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* [The Chaos Textbook: Mathematics in the age of the computer ](https://hypertextbook.com/chaos/ ) - Glenn Elert
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## Mathematical Biology
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* [Mathematical Biology ](http://www.math.ust.hk/~machas/mathematical-biology.pdf ) - Jeffrey Chasnov
## Mathematical Physics
* [Introduction to Continuum Mechanics ](http://oaktrust.library.tamu.edu/handle/1969.1/2501 ) - Ray. M. Bowen
* [Mathematical Tools for Physics ](http://www.physics.miami.edu/nearing/mathmethods/ ) - James Nearing
* [Mechanism of the Heavens (1831) ](http://www.malaspina.com/etext/heavens.htm ) - Mary Somerville
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# License
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To the extent possible under law, [Cyrille Rossant ](http://cyrille.rossant.net ) has waived all copyright and related or neighboring rights to this work.