Top 50 Awesome List

rossant/awesome-math

Theory  2 months ago  4.9k
A curated list of awesome mathematics resources
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Aug 19th

Geometry and Topology

Algebraic Geometry

  • A Brief Introduction to Algebraic Geometry - R.C. Churchill
  • Aug 4th

    Learning Platforms

  • Ximera : free interactive mathematics textbooks (Ohio State University)
  • Jun 17th

    Geometry and Topology

    Differential Geometry

  • Discrete Differential Geometry - Keenan Crane
  • Jun 4th

    Analysis

    Complex Analysis

  • A Concise Course in Complex Analysis and Riemann Surfaces - Wilhelm Schlag
  • Apr 9th

    Tools

  • Maxima
  • Apr 8th

    Tools

  • Free Math
  • Mar 13th

    Learning Platforms

  • Calculus.org
  • Mar 10th

    Number Theory

  • Number Theory: A Contemporary Introduction - Pete L. Clark
  • Elementary Number Theory - W. Edwin Clark (University of South Florida)
  • Foundations of Mathematics

    Logic

  • Introduction to Logic - Michael Genesereth, Eric Kao (Stanford University)
  • Mar 5th

    Geometry and Topology

    Topology

  • Topology Topics
  • Analysis

    Complex Analysis

  • Introduction to Complex Analysis - Michael Taylor
  • Jan 8th

    Students Lecture Notes

  • Evan Chen - MIT. 2012 ~ 2018. Covers Combinatorics, Number Theory, Honors Algebra, Set Theory, Real Analysis, Graph Theory, and more.
  • Dexter Chua - Harvard. 2013 ~ 2018. Covers Analysis, Probability, Linear Algebra, Complex Analysis, Numerical Analysis, Statistics, Optimization, Algebraic Topology, Quantum Field Theory, and more.
  • Jan 4th

    Foundations of Mathematics

    Transition To Pure Rigour Math

  • Book of Proof - Richard Hammak (Virginia Commonwealth University)
  • Oct 3rd, 2020

    Analysis

    Real Analysis

  • Precalculus - Carl Stitz, Jeff Zeager
  • Analysis

    Harmonic Analysis

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

  • Understanding Algebra - James W. Brennan
  • Oct 1st, 2020

    Foundations of Mathematics

    Type Theory

  • Programming in Martin-Lof’s Type Theory - Bengt Nordstrom, Kent Petersson, Jan M. Smith
  • Tools

  • GeoGebra
  • Macaulay2
  • Singular
  • GNU Octave
  • Magma
  • Maple
  • Matlab
  • Wolfram Mathematica
  • Sep 15th, 2020

    Foundations of Mathematics

    Logic

  • Open Logic Textbook - collaborative effort, main contributors listed here
  • Foundations of Mathematics

    Category Theory

  • Category Theory in Context - Emily Riehl (John Hopkins University)
  • Aug 6th, 2020

    Foundations of Mathematics

    Logic

  • QED - an interactive textbook - Terence Tao
  • Aug 4th, 2020

    Misc

  • Recreations in Math - H. E. Licks (1917)
  • Magic Squares and Cubes - W. S. Andrews (1917)
  • Algebra

  • First Course in Algebra - Herbert E. Hawkes, William A. Luby, Frank C. Touton (1910)
  • Second Course in Algebra - Herbert E. Hawkes, William A. Luby, Frank C. Touton (1911)
  • Algebra: An Elementary Text-Book, Part I - G. Chrystal (1904)
  • Algebra: An Elementary Text-Book, Part II - G. Chrystal (1900)
  • Geometry and Topology

  • Plane Geometry - George Wentworth and David Eugene Smith (1913)
  • Planes and Spherical Trigonometry - George Wentworth and David Eugene Smith (1915)
  • Coordinate Geometry - Henry Buchard Fine and Henry Dallas Thompson (1911)
  • Analytic Geometry - Lewis Parker Siceloff, George Wentworth, David Eugene Smith (1922)
  • Analysis

    Real Analysis

  • Calculus Made Easy - Silvanus P. Thompson (1910)
  • Elements of Differential and Integral Calculus - William Anthony Granville (1911)
  • Analysis

    Ordinary Differential Equations

  • Differential Equations - H. B. Phillips (1922)
  • Aug 3rd, 2020

    Foundations of Mathematics

    Logic

  • Logic and Proof - Jeremy Avigad, Robert Y. Lewis, and Floris van Doorn
  • Learning Platforms

  • Mathigon
  • Misc

  • Convex Optimization - Stephen Boyd and Lieven Vandenberghe
  • Algebra

    Linear Algebra

  • Interactive Linear Algebra - Dan Margalit and Joseph Rabinoff
  • Linear Algebra, Infinite Dimensions, and Maple - James Herod
  • Geometry and Topology

  • Byrne's Euclid - Oliver Byrne
  • Analysis

    Complex Analysis

  • Complex Analysis - Juan Carlos Ponce Campuzano
  • Probability and Statistics

    Probability Theory

  • Foundations of Constructive Probability Theory - Yuen-Kwok Chan
  • Probability and Statistics

    Statistics

  • Statistical Thinking for the 21st Century - Russell A. Poldrack
  • Odds and Ends: Introducing Probability & Decision with a Visual Emphasis - Jonathan Weisberg
  • Seeing Theory - Daniel Kunin, Jingru Guo, Tyler Dae Devlin, and Daniel Xiang
  • Statistics Done Wrong - Alex Reinhart
  • All of Statistics: A Concise Course in Statistical Inference - Larry Wasserman
  • Mathematics for Computer Science

  • The Chaos Textbook: Mathematics in the age of the computer - Glenn Elert
  • Aug 2nd, 2020

    Jul 16th, 2020

    Blogs

  • MathematicsIsAScience - Peter Saveliev (Professor of mathematics at Marshall University, Huntington WV, USA)
  • Jul 2nd, 2020

    Signal processing

  • Think DSP - Allen B. Downey
  • Oct 16th, 2019

    Algebra

    Galois Theory

  • Galois Theory - Ian Stewart
  • Oct 15th, 2019

    Foundations of Mathematics

    Type Theory

  • Type Theory and Functional Programming - Simon Thompson
  • Oct 14th, 2019

    Foundations of Mathematics

    Type Theory

  • Intuitionistic Type Theory - Per Martin-Lof
  • Proofs and Types - Jean-Yves Girard
  • Oct 11th, 2019

    Number Theory

  • Elementary Number Theory - David M. Burton
  • Sep 7th, 2019

    Aug 2nd, 2019

    Algebra

    Linear Algebra

  • Immersive Linear Algebra - J. Ström, K. Åström, and T. Akenine-Möller
  • May 23rd, 2019

    May 6th, 2019

    Algebra

    Abstract Algebra

  • Introduction to Abstract Algebra - D. S. Malik, John N. Mordeson, M.K. Sen (Creighton University)
  • Apr 9th, 2019

    Analysis

    Functional Analysis

  • Theory of Functions of a Real Variable - Shlomo Sternberg
  • Foundations of Mathematics

    Category Theory

  • Category Theory for Computing Science - Michael Barr, Charles Wells
  • Algebra

    Abstract Algebra

  • Abstract Algebra: Harvard Extension (Archived) - Benedict Gross
  • Abstract Algebra: Harvard Extension Videos - Benedict Gross
  • Algebra

    Linear Algebra

  • Linear Algebra Done Wrong - Sergei Treil
  • Analysis

    Real Analysis

  • Supplements to the Exercises in Chapters 1-7 of Walter Rudin's "Principles of Mathematical Analysis" - George M. Bergman
  • Apr 2nd, 2019

    Learning Platforms

  • WooTube
  • Brilliant
  • Blogs

  • Mathsisfun simple text light weight site for students upto highschool
  • Nov 30th, 2018

    Geometry and Topology

    Topology

  • Elementary Applied Topology - Robert Ghrist (UPenn)
  • Nov 19th, 2018

    Geometry and Topology

    Algebraic Geometry

  • The Stacks Project - Maintained by Aise Johan de Jong (Columbia)
  • Oct 19th, 2018

    Foundations of Mathematics

    Category Theory

  • Seven Sketches in Compositionality: An Invitation to Applied Category Theory - Brendan Fong and David I. Spivak (MIT)
  • Abstract and Concrete Categories: The Joy of Cats - Jiri Adamek, Horst Herrlich, George Strecker
  • Jun 7th, 2018

    Algebra

    Linear Algebra

  • Introduction to Applied Linear Algebra - Stephen Boyd (Stanford University), Lieven Vandenberghe (UCLA)
  • May 31st, 2018

    Misc

  • Topology Atlas
  • Probability and Statistics

    Stochastic processes

  • Convergence of Stochastic Processes - David Pollard
  • Numerical Analysis

  • Numerical Analysis for Engineers - Douglas Wilhelm Harder
  • Mar 4th, 2018

    Foundations of Mathematics

    Logic

  • Mathematical Reasoning: Writing and Proof - Ted Sundstrom
  • Proofs and Concepts: the fundamentals of abstract mathematics - Joy Morris, Dave Morris
  • Predictive Arithmetic - Edward Nelson
  • Number Theory

  • Yet Another Introductary Number Theory Textbook - Jonathan A. Poritz
  • Algebra

    Abstract Algebra

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

    Group Theory

  • Group Theory - Pedrag Civitanovic
  • Algebra

    Linear Algebra

  • Linear Algebra - David Cherney, Tom Denton, Andrew Waldron
  • Introduction to vectors and tensors, Vol 1: linear and multilinear algebra - Ray M Bowen, C. C. Wang
  • Introduction to vectors and tensors, Vol 2: vector and tensor analysis - Ray M Bowen, C. C. Wang
  • Analysis

    Real Analysis

  • Calculus and Linear Algebra. Vol. 1 - Wilfred Kaplan, Donald J. Lewis
  • Calculus and Linear Algebra. Vol. 2 - Wilfred Kaplan, Donald J. Lewis
  • Introduction to Calculus I and II - J.H. Heinbockel
  • Active Calculus - Matt Boelkins
  • Basic Analysis: Introduction to Real Analysis - Jiří Lebl
  • A ProblemText in Advanced Calculus - John M. Erdman
  • Analysis of Functions of a Single Variable - Lawerence Baggett
  • Advanced Calculus - Lynn Loomis, Schlomo Sternberg
  • The Calculus of Functions of Several Variables - Dan Sloughter
  • Mathematics for Computer Science

  • Mathematics for Computer Science - Eric Lehman, F. Thomson Leighton, Albert R. Meyer
  • Algorithms and Complexity - H. Wilf
  • Lecture Notes on Optimization - Pravin Varaiya
  • Information Theory, Inference, and Learning Algorithms - David J. C. MacKay
  • Mathematical Biology

  • Mathematical Biology - Jeffrey Chasnov
  • Mathematical Physics

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

    Ordinary Differential Equations

  • Elementary Differential Equations - William F. Trench
  • Elementary Differential Equations With Boundary Value Problems - William F. Trench
  • Notes on Diffy Qs: Differential Equations for Engineers - Jiří Lebl
  • Notes on Differential Equations - Bob Terrell
  • Difference Equations To Differential Equations - Dan Sloughter
  • Foundations of Mathematics

    Category Theory

  • Abelian Categories - Peter Freyd
  • Categories and Groupoids - P. J. Higgins
  • Basic Concepts of Enriched Category Theory - G. M. Kelley
  • Toposes, Triples and Theories - Michael Barr, Charles Wells
  • Analysis

    Functional Analysis

  • Functional Analysis - Lawerence Baggett
  • Foundations of Mathematics

    Set Theory

  • Sets, Relations, Functions - Ivo Düntsch, Günther Gediga
  • Geometry and Topology

    Differential Geometry

  • Semi-Riemann Geometry and General Relativity - Shlomo Sternberg
  • Probability and Statistics

    Statistics

  • Rough set data analysis: A road to non-invasive knowledge discovery - Ivo Düntsch, Günther Gediga
  • Mar 2nd, 2018

    Foundations of Mathematics

    Transition To Pure Rigour Math

  • Basic Concepts of Mathematics - Elias Zakon
  • Number Theory

  • An Introduction to the Theory of Numbers - Leo Moser
  • Algebra

    Linear Algebra

  • A First Courses in Linear Algebra - Rob Breezer
  • Algebra

    Lie Algebras

  • Lie Algebras - Shlomo Sternberg
  • Geometry and Topology

  • Mathematical Illustrations - Bill Casselman
  • Analysis

    Real Analysis

  • Elementary Calculus: An Approach Using Infinitesimals - Professor H. Jerome Keisler
  • Mathematical Analysis Vol I - Elias Zakon
  • Mathematical Analysis Vol II - Elias Zakon
  • Probability and Statistics

    Statistics

  • Concepts and Applications of Inferential Statistics - Richard Lowry
  • Feb 11th, 2018

    Books

  • Multivariable Calculus - G. Cain, J. Herod (Georgia Tech)
  • Number Theory

    Algebraic Number Theory

  • A Course In Algebraic Number Theory - Robert Ash
  • Algebra

  • A Course in Universal Algebra - S. Burris, H.P. Sankappanavar
  • A Course in Commutative Algebra - Robert Ash
  • Algebra

    Abstract Algebra

  • Elements of Abstract and Linear Algebra - E.H. Connell (University of Miami)
  • Abstract Algebra: The Basic Graduate Year - Robert Ash
  • Algebra

    Linear Algebra

  • Linear Algebra - Jim Hefferon
  • Elementary Linear Algebra - Keith Matthews
  • Combinatorics

  • generatingfunctionology - Herbert Wilf
  • Geometry and Topology

  • A=B - M. Petkovsek, H. Wilf, D. Zeilberger
  • Elements - Euclid
  • Euclid's Elements Redux - Daniel Callahan
  • Geometry and Topology

    Differential Geometry

  • The Geometry and Topology of Three-Manifolds - W. Thurston
  • Analysis

    Real Analysis

  • MIT OpenCourseWare Lectures on Calculus - G. Strang
  • Analysis

    Complex Analysis

  • Complex Analysis - G. Cain (Georgia Tech)
  • Analysis

    Partial Differential Equations

  • Linear Methods of Applied Mathematics - E. Harrell, J. Herod (Georgia Tech)
  • Probability and Statistics

    Probability Theory

  • An Introduction to Probability and Random Processes - Gian-Carlo Rota, Kenneth Baclawski
  • Dec 21st, 2017

    Nov 29th, 2017

    Probability and Statistics

    Statistics

  • Theory of Statistics - James E. Gentle (George Mason University)
  • Nov 17th, 2017

    Signal processing

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

    Stochastic processes

  • Lectures on Stochastic Processes - K. Ito (Tata Institute of Fundamental Research, Bombay)
  • Probability and Stochastic Processes with Applications - Oliver Knill (Harvard University)
  • Stochastic Processes - Amir Dembo (Stanford University)
  • Lecture Notes on Stochastic Processes - Frank Noé, Bettina Keller and Jan-Hendrik Prinz (Freie Universität Berlin)
  • Introduction to Stochastic Processes - Lecture Notes - Gordan Žitković (University of Texas)
  • Applied Stochastic Processes in science and engineering - Matt Scott (University of Waterloo)
  • An Introduction to Stochastic Processes in Continuous Time - Flora Spieksma (Leiden University)
  • Markov Chains and Mixing Times - David A. Levin, Yuval Peres, Elizabeth L. Wilmer
  • Nov 10th, 2017

    Algebra

    Linear Algebra

  • Linear Algebra - Jim Hefferon
  • Aug 15th, 2017

    Blogs

  • 3blue1brown - Animated Maths
  • Jun 30th, 2017

    Blogs

  • BetterExplained - Maintained by Kalid Azad
  • ILoveMaths - For grades 6 thru 12 in K-12 system
  • May 23rd, 2017

    Foundations of Mathematics

    Logic

  • An Introduction to Formal Logic - P.D. Magnus (University at Albany)
  • Language, Proof, and Logic - Jon Barwise, John Etchemendy
  • Algebra

    Group Theory

  • Notes on Group Theory - Mark Reeder
  • Algebra

    Linear Algebra

  • Linear Algebra and Matrices - Martin Fluch
  • Analysis

    Real Analysis

  • Real Analysis for Graduate Students - Richard F. Bass
  • Modern Real Analysis - William P. Ziemer (Indiana University)
  • Analysis

    Complex Analysis

  • Complex Analysis - Donald E. Marshall
  • May 20th, 2017

    Apr 18th, 2017

    Probability and Statistics

    Probability Theory

  • Probability and Statistics Cookbook - Matthias Vallentin (UC Berkeley)
  • Feb 11th, 2017

    Sep 25th, 2016

    Probability and Statistics

    Statistical Learning

  • Reinforcement Learning: An Introduction - Richard S. Sutton, Andrew G. Barto
  • Sep 7th, 2016

    Aug 9th, 2016

    Probability and Statistics

    Statistics

  • NIST Handbook of Statistical Methods - Resource on practical statistics directed towards scientists and engineers.
  • Aug 4th, 2016

    Probability and Statistics

    Statistics

  • Statistics Papers - List of statistics papers curated by the Institute for Digital Research and Education (IDRE) at UCLA on methods such as bootstrap and factor invariance.
  • Apr 26th, 2016

    Apr 11th, 2016

    Misc

  • Paul's Online Math Notes - Paul Dawkins (Lamar University)
  • List of electronic textbooks - Marcel B. Finan (Arkansas Tech University)
  • Jan 25th, 2016

    Probability and Statistics

    Statistics

  • Glossary of Data Modeling - AI Access
  • Sep 5th, 2015

    Probability and Statistics

    Probability Theory

  • The Only Probability Cheatsheet You'll Ever Need - William Chen
  • Sep 2nd, 2015

    Foundations of Mathematics

    Set Theory

  • An Introduction to Set Theory - William A. R. Weiss
  • Foundations of Mathematics

    Logic

  • A Problem Course in Mathematical Logic - Stefan Bilaniuk (Trent University)
  • Mathematical Logic - Helmut Schwichtenberg
  • Mathematical Logic - Stephen G. Simpson (Pennsylvania State University)
  • Formal Logic - Miguel Palomino
  • Foundations of Mathematics

    Category Theory

  • Introduction to Category Theory and Categorical Logic - Thomas Streicher
  • An Introduction to Category Theory - Harold Simmons
  • Foundations of Mathematics

    Homotopy Type Theory

  • Homotopy Type Theory
  • Number Theory

    Analytic Number Theory

  • Elements of Analytic Number Theory - P. S. Kolesnikov, E. P. Vdovin (Novosibirsk)
  • Analytic Number Theory - Lecture Notes based on Davenport’s book - Andreas Strömbergsson
  • Algebra

    Abstract Algebra

  • Algebraic Methods - F. Oggier
  • An Undergraduate Course in Abstract Algebra - Robert Howlett
  • Algebra

    Group Theory

  • Group Theory - J.S. Milne
  • Notes on Finite Group Theory - Peter J. Cameron
  • Algebra

    Linear Algebra

  • Fundamentals of Linear Algebra - James B. Carrell
  • Vector Space Theory - Robert Howlett
  • Linear Algebra - Peter Petersen
  • Algebra

    Galois Theory

  • Galois theory - Miles Reid
  • Geometry and Topology

    Differential Geometry

  • Introduction to Differential Geometry - Joel W. Robbin, Dietmar A. Salamon
  • Notes on Differential Geometry and Lie Groups - Jean Gallier (University of Pennsylvania)
  • Topics in Differential Geometry - Peter W. Michor
  • Lectures on Differential Geometry - Wulf Rossmann
  • An Introduction to Riemannian Geometry - Sigmundur Gudmundsson (Lund University)
  • Analysis

    Real Analysis

  • Introduction to Real Analysis - William F. Trench (Trinity University, Texas)
  • Real Analysis - C. McMullen
  • Analysis

    Functional Analysis

  • Functional Analysis Lecture Notes - T.B. Ward (University of East Anglia)
  • Functional Analysis - Alexander C. R. Belton
  • Analysis

    Measure Theory

  • An Introduction to Measure Theory - Terence Tao (UCLA)
  • Combinatorics

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

    Graph Theory

  • Graph Theory: Lecture Notes - Christopher Griffin
  • Graph Theory - Reinhard Diestel
  • Geometry and Topology

  • Fundamentals of Geometry - Oleg A. Belyaev
  • Geometry and Topology

    Algebraic Geometry

  • Introduction to Algebraic Geometry - Igor V. Dolgachev
  • Foundations of Algebraic Geometry - Ravi Vakil
  • Algebraic Geometry - Jean Gallier, Stephen S. Shatz (University of Pennsylvania)
  • Algebraic Geometry - J.S. Milne
  • Algebraic Geometry - Andreas Gathmann (University of Kaiserslautern)
  • Geometry and Topology

    Topology

  • Introduction to Topology
  • Introduction to Topology - Alex Küronya
  • Introductory Topology - Jim L. Brown
  • General Topology - Pierre Schapira (Paris VI University)
  • Elementary Topology Problem Textbook
  • General Topology - Jesper M. Møller
  • Geometry and Topology

    Algebraic Topology

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

  • Khan Academy
  • Coursera
  • MIT OpenCourseWare
  • edX
  • Questions and Answers

  • Mathematics Stack Exchange
  • MathOverflow - for professional mathematicians
  • Encyclopedia

  • Encyclopedia of Mathematics
  • Planetmath
  • Books

  • Basics of Algebra, Topology, and Differential Calculus - Jean Gallier (University of Pennsylvania)
  • Wikibooks
  • Misc

  • Areas of mathematics on Wikipedia
  • Numerical Analysis

  • Introduction to Numerical Analysis - Doron Levy (University of Maryland)
  • A Concise Introduction to Numerical Analysis - Douglas N. Arnold (University of Minnesota)
  • Numerical Analysis - L. Ridgway Scott
  • Lectures In Basic Computational Numerical Analysis - J. M. McDonough (University of Kentucky)
  • Advanced Numerical Methods and Their Applications to Industrial Problems: Adaptive Finite Element Methods - Alfred Schmidt, Arsen Narimanyan
  • Probability and Statistics

    Probability Theory

  • Introduction to Probability - Charles M. Grinstead, J. Laurie Snell
  • Introduction to Probability - Dimitri P. Bertsekas, John N. Tsitsiklis (MIT)
  • A Short Introduction to Probability - Dirk P. Kroese (University of Queensland)
  • Probability: Theory and Examples - Rick Durrett
  • Probability and Statistics

    Statistics

  • Lecture Notes on Statistical Theory - Ryan Martin (University of Illinois)
  • Introduction to Statistics and Data Analysis for Physicists - Gerhard Bohm, Günter Zech
  • Probability and Mathematical Statistics - Prasanna Sahoo (University of Louisville)
  • Lectures on Statistics - William G. Faris
  • Statistical Theory - Adolfo J. Rumbos
  • Theory of Statistics - Joseph C. Watkins (University of Arizona)
  • Probability and Statistics

    Statistical Learning

  • An Introduction to Statistical Learning with Applications in R - Gareth James, Daniela Witten, Trevor Hastie, Robert Tibshirani
  • The Elements of Statistical Learning - Trevor Hastie, Robert Tibshirani, Jerome Friedman
  • Aug 31st, 2015

    Analysis

    Partial Differential Equations

  • Notes on Partial Differential Equations - John K. Hunter (University of California at Davis)
  • Partial Differential Equations: Lecture Notes - Erich Miersemann (Leipzig University)
  • Analysis

    Measure Theory

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

    Ordinary Differential Equations

  • Ordinary Differential Equation - Alexander Grigorian (University of Bielefeld)
  • Ordinary Differential Equations: Lecture Notes - Eugen J. Ionascu
  • Ordinary Differential Equations - Peter Philip
  • Ordinary Differential Equations - Gabriel Nagy
  • Ordinary Differential Equations and Dynamical Systems - Gerald Teschl
  • Analysis

    Functional Analysis

  • An Introduction to Functional Analysis - Laurent W. Marcoux (University of Waterloo)
  • Functional Analysis: Lecture Notes - Jeff Schenker (Michigan State University)
  • Topics in Real and Functional Analysis - Gerald Teschl
  • Functional Analysis - Christian Remling
  • Analysis

    Complex Analysis

  • An Introduction to Complex Analysis and Geometry - John P. D'Angelo (University of Illinois)
  • A First Course in Complex Analysis - Matthias Beck, Gerald Marchesi, Dennis Pixton, Lucas Sabalka
  • A Guide to Complex Variables - Steven G. Krantz
  • Complex Analysis - Charles Walkden
  • Complex Analysis - Christian Berg
  • Complex Variables - R. B. Ash, W.P. Novinger
  • Complex Analysis - Christer Bennewitz
  • Analysis

    Harmonic Analysis

  • Harmonic Analysis Lecture Notes - Richard S. Laugesen (University of Illinois at Urbana–Champaign)
  • Harmonic Analysis - W. Schlag
  • Lecture Notes: Fourier Transform and its Applications - Brad Osgood
  • Fourier Analysis - Lucas Illing
  • Analysis

    Real Analysis

  • An Introduction to Real Analysis - John K. Hunter (University of California at Davis)
  • Elementary Real Analysis - Thomson, Bruckner
  • Lecture Notes in Real Analysis - Eric T. Sawyer (McMaster University)
  • Number Theory

    Algebraic Number Theory

  • Introduction to Algebraic Number Theory - F. Oggier
  • Introduction to Algebraic Number Theory
  • Algebraic Number Theory - J.S. Milne
  • Algebraic Number Theory Course Notes - Matthew Baker (Georgia Tech)
  • Algebra

    Ring Theory

  • Foundations of Module and Ring Theory - Robert Wisbauer (University of Düsseldorf)
  • Foundations of Mathematics

    Category Theory

  • Category Theory - Steve Awodey (Carnegie Mellon University)
  • Category Theory - B. Pareigis
  • Algebra

    Galois Theory

  • An Introduction to Galois Theory - Andrew Baker (University of Glasgow)
  • Fields and Galois Theory - J.S. Milne
  • Algebra

    Abstract Algebra

  • Introduction to Modern Algebra - David Joyce (Clark University)
  • Probability and Statistics

    Statistical Learning

  • Statistical Learning Theory - Percy Liang
  • Number Theory

    Analytic Number Theory

  • Introduction to Analytic Number Theory - A.J. Hildebrand (University of Illinois)
  • Analytic Number Theory - Otto Forster (LMU Munich)
  • Foundations of Mathematics

    Set Theory

  • Set Theory on the Stanford Encyclopedia of Philosophy
  • Set Theory and Foundations of Mathematics - Sylvain Poirier
  • Number Theory

  • Elementary Number Theory: Primes, Congruences, and Secrets - William Stein
  • A Course on Number Theory - Peter J. Cameron
  • A Computational Introduction to Number Theory and Algebra - Victor Shoup
  • Last Checked At: 2021-10-25T04:09:27.683Z
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