awesome-math

A curated list of awesome mathematics resources
https://github.com/rossant/awesome-math

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Algebra
- Abstract Algebra
  - Introduction to Abstract Algebra - D. S. Malik, John N. Mordeson, M.K. Sen (Creighton University)
  - Introduction to Modern Algebra - David Joyce (Clark University)
  - Algebraic Methods - F. Oggier
  - Abstract Algebra : Theory and Applications - Thomas W. Judson, Robert A. Beezer (Austin State University)
  - An Undergraduate Course in Abstract Algebra - Robert Howlett
  - Elements of Abstract and Linear Algebra - E.H. Connell (University of Miami)
  - Abstract Algebra: The Basic Graduate Year - Robert Ash
  - Abstract Algebra: Harvard Extension (Archived) - Benedict Gross
  - Abstract Algebra: Harvard Extension Videos - Benedict Gross
  - Introduction to Modern Algebra - David Joyce (Clark University)
  - Algebraic Methods - F. Oggier
  - Abstract Algebra : Theory and Applications - Thomas W. Judson, Robert A. Beezer (Austin State University)
  - Abstract Algebra: Harvard Extension Videos - Benedict Gross
  - Elements of Abstract and Linear Algebra - E.H. Connell (University of Miami)
- Analytic Number Theory
  - A Course in Universal Algebra - S. Burris, H.P. Sankappanavar
  - A Course in Commutative Algebra - Robert Ash
  - 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)
  - Understanding Algebra - James W. Brennan
  - Algebra: An Elementary Text-Book, Part II - G. Chrystal (1900)
  - First Course in Algebra - Herbert E. Hawkes, William A. Luby, Frank C. Touton (1910)
  - Algebra: An Elementary Text-Book, Part I - G. Chrystal (1904)
  - Second Course in Algebra - Herbert E. Hawkes, William A. Luby, Frank C. Touton (1911)
- Galois Theory
  - An Introduction to Galois Theory - Andrew Baker (University of Glasgow)
  - Fields and Galois Theory - J.S. Milne
  - Galois theory - Miles Reid
  - Galois Theory - Ian Stewart
  - An Introduction to Galois Theory - Andrew Baker (University of Glasgow)
  - Galois theory - Miles Reid
  - Galois Theory - Ian Stewart
  - Galois Theory
- Group Theory
  - Notes on Group Theory - Mark Reeder
  - Group Theory - J.S. Milne
  - Notes on Finite Group Theory - Peter J. Cameron
  - Group Theory - Pedrag Civitanovic
  - Group Theory - J.S. Milne
- Lie Algebras
  - Lie Algebras - Shlomo Sternberg
- Linear Algebra
  - Fundamentals of Linear Algebra - James B. Carrell
  - Linear Algebra and Matrices - Martin Fluch
  - Vector Space Theory - Robert Howlett
  - Elementary Linear Algebra - Keith Matthews
  - A First Courses in Linear Algebra - Rob Breezer
  - 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
  - Introduction to Applied Linear Algebra - Stephen Boyd (Stanford University), Lieven Vandenberghe (UCLA)
  - Linear Algebra Done Wrong - Sergei Treil
  - Immersive Linear Algebra - J. Ström, K. Åström, and T. Akenine-Möller
  - Interactive Linear Algebra - Dan Margalit and Joseph Rabinoff
  - Linear Algebra, Infinite Dimensions, and Maple - James Herod
  - Linear Algebra, Infinite Dimensions, and Maple - James Herod
  - Linear Algebra - Jim Hefferon
  - MIT OpenCourseWare Lectures on Linear Algebra (18.06) as Jupyter Notebooks - Juan Klopper
  - Elementary Linear Algebra - Keith Matthews
  - A First Courses in Linear Algebra - Rob Breezer
  - 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
  - Linear Algebra Done Right - Sheldon Axler
  - Fundamentals of Linear Algebra - James B. Carrell
- Ring Theory
  - Foundations of Module and Ring Theory - Robert Wisbauer (University of Düsseldorf)
Analysis
- Chaos Theory
  - Chaos: Making a New Science - James Gleick
  - Complexity: A Guided Tour - Melanie Mitchell (Oxford University)
- Complex Analysis
  - Introduction to Complex Analysis - Michael Taylor
  - 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
  - Complex Analysis - Donald E. Marshall
  - A Concise Course in Complex Analysis and Riemann Surfaces - Wilhelm Schlag
  - Complex Analysis - G. Cain (Georgia Tech)
  - Complex Analysis - Juan Carlos Ponce Campuzano
  - Complex Analysis - Christian Berg
  - A Guide to Complex Variables - Steven G. Krantz
  - Complex Variables - R. B. Ash, W.P. Novinger
- Functional Analysis
  - An Introduction to Functional Analysis - Laurent W. Marcoux (University of Waterloo)
  - Functional Analysis: Lecture Notes - Jeff Schenker (Michigan State University)
  - Functional Analysis Lecture Notes - T.B. Ward (University of East Anglia)
  - Functional Analysis - Alexander C. R. Belton
  - Topics in Real and Functional Analysis - Gerald Teschl
  - Functional Analysis - Christian Remling
  - Theory of Functions of a Real Variable - Shlomo Sternberg
  - Functional Analysis - Lawerence Baggett
  - An Introduction to Functional Analysis - Laurent W. Marcoux (University of Waterloo)
  - Functional Analysis Lecture Notes - T.B. Ward (University of East Anglia)
  - Functional Analysis - Christian Remling
  - Theory of Functions of a Real Variable - Shlomo Sternberg
  - Functional Analysis: Lecture Notes - Jeff Schenker (Michigan State University)
- 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
  - Mathematics of the Discrete Fourier Transform (DFT) with Audio Applications - Julius O. Smith III (Stanford University)
  - Mathematics of the Discrete Fourier Transform (DFT) with Audio Applications - Julius O. Smith III (Stanford University)
- Measure Theory
  - An Introduction to Measure Theory - Terence Tao (UCLA)
  - 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
  - Lecture notes: Measure Theory - Bruce K. Driver
- Ordinary Differential Equations
  - Difference Equations To Differential Equations - Dan Sloughter
  - 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
  - Notes on Differential Equations - Bob Terrell
  - 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
  - Differential Equations - H. B. Phillips (1922)
  - Ordinary Differential Equations: Lecture Notes - Eugen J. Ionascu
  - Notes on Differential Equations - Bob Terrell
  - Differential Equations - H. B. Phillips (1922)
  - Ordinary Differential Equations and Dynamical Systems - Gerald Teschl
- 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)
  - Linear Methods of Applied Mathematics - E. Harrell, J. Herod (Georgia Tech)
  - Linear Methods of Applied Mathematics - E. Harrell, J. Herod (Georgia Tech)
- Real Analysis
  - MIT OpenCourseWare Lectures on Calculus - G. Strang
  - Elementary Calculus: An Approach Using Infinitesimals - Professor H. Jerome Keisler
  - An Introduction to Real Analysis - John K. Hunter (University of California at Davis)
  - Introduction to Real Analysis - William F. Trench (Trinity University, Texas)
  - Basic Analysis: Introduction to Real Analysis - Jiří Lebl
  - Elementary Real Analysis - Thomson, Bruckner
  - Lecture Notes in Real Analysis - Eric T. Sawyer (McMaster University)
  - Real Analysis - C. McMullen
  - Real Analysis for Graduate Students - Richard F. Bass
  - Modern Real Analysis - William P. Ziemer (Indiana University)
  - Mathematical Analysis Vol I - Elias Zakon
  - Mathematical Analysis Vol II - Elias Zakon
  - Advanced Calculus - Lynn Loomis, Schlomo Sternberg
  - Analysis of Functions of a Single Variable - Lawerence Baggett
  - The Calculus of Functions of Several Variables - Dan Sloughter
  - A ProblemText in Advanced Calculus - John M. Erdman
  - 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
  - Supplements to the Exercises in Chapters 1-7 of Walter Rudin's "Principles of Mathematical Analysis" - George M. Bergman
  - Calculus Made Easy - Silvanus P. Thompson (1910)
  - Elements of Differential and Integral Calculus - William Anthony Granville (1911)
  - Precalculus - Carl Stitz, Jeff Zeager
  - Elements of Differential and Integral Calculus - William Anthony Granville (1911)
  - Elementary Calculus: An Approach Using Infinitesimals - Professor H. Jerome Keisler
  - Introduction to Real Analysis - William F. Trench (Trinity University, Texas)
  - Lecture Notes in Real Analysis - Eric T. Sawyer (McMaster University)
  - Mathematical Analysis Vol I - Elias Zakon
  - Mathematical Analysis Vol II - Elias Zakon
  - Calculus and Linear Algebra. Vol. 1 - Wilfred Kaplan, Donald J. Lewis
  - Introduction to Calculus I and II - J.H. Heinbockel
  - Calculus Made Easy - Silvanus P. Thompson (1910)
  - Modern Real Analysis - William P. Ziemer (Indiana University)
  - A ProblemText in Advanced Calculus - John M. Erdman
  - Basic Analysis: Introduction to Real Analysis - Jiří Lebl
Blogs
- BetterExplained - Maintained by Kalid Azad
- ILoveMaths - For grades 6 thru 12 in K-12 system
- 3blue1brown - Animated Maths
- Mathsisfun
- MathematicsIsAScience - Peter Saveliev (Professor of mathematics at Marshall University, Huntington WV, USA)
Books
- Calculus: Basic Concepts for High Schools - L.V. Tarasov
- Basics of Algebra, Topology, and Differential Calculus - Jean Gallier (University of Pennsylvania)
- Multivariable Calculus - G. Cain, J. Herod (Georgia Tech)
- Wikibooks
- Beginning and Intermediate Algebra
- Free Mathematics Books
- Trigonometry
- Basics of Algebra, Topology, and Differential Calculus - Jean Gallier (University of Pennsylvania)
- Beginning and Intermediate Algebra
- Math for Frontend Web Dev
- Grokking Statistics
- The Math Behind Artificial Intelligence - Tiago Capelo Monteiro (freeCodeCamp)
Combinatorics
- Graph Theory
  - Graph Theory: Lecture Notes - Christopher Griffin
  - Graph Theory - Reinhard Diestel
  - Graph Theory: Lecture Notes - Christopher Griffin
  - Graph Theory - Reinhard Diestel
  - Graph Theory : Interactive Algorithm Visualizer | Graph Theory Learning Platform - Hadjoudj Mohammed Islam
- Lie Algebras
  - 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
  - Basic Combinatorics - Carl G. Wagner (University of Tennessee)
  - Analytic Combinatorics - Philippe Flajolet, Robert Sedgewick
  - Notes on Combinatorics - Peter J. Cameron
Encyclopedia
- Encyclopedia of Mathematics
- Planetmath
- ProofWiki
- Wolfram Mathworld
- The Princeton Companion to Mathematics - Timothy Gowers (Professor, Fields medallist), June Barrow-Green (Professor), and Imre Leader (Professor).
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.
- Encyclopedia of Distances (4th Edition) - Michel Marie Deza, Elena Deza.

Programming Languages

Rust 1 Jupyter Notebook 1 Python 1

Categories

Probability and Statistics 161 Analysis 99 Geometry and Topology 72 Foundations of Mathematics 64 Algebra 62 Encyclopedia 46 Tools 27 Youtube Series 26 Number Theory 23 Learning Platforms 14 Numerical Analysis 12 Books 12 Misc 12 Combinatorics 12 Mathematical Physics 9 Mathematics for Computer Science 7 Magazines 7 Signal processing 6 Blogs 5 Meetings and Conferences 3 Mathematical Biology 2 Learn to Learn 1

Sub Categories

Statistics 78 Probability Theory 65 Stochastic processes 50 Real Analysis 36 Graph Theory 22 Linear Algebra 22 Logic 21 Category Theory 20 Analytic Number Theory 17 Surreal Numbers 16 Topology 15 Complex Analysis 15 Ordinary Differential Equations 15 Abstract Algebra 14 Differential Geometry 14 Functional Analysis 13 Algebraic Topology 11 Algebraic Geometry 10 Galois Theory 8 Lie Algebras 8 Measure Theory 8 Transition To Pure Rigour Math 6 Algebraic Number Theory 6 Set Theory 6 Harmonic Analysis 6 Type Theory 5 Algebraic Statistics 5 Group Theory 5 Partial Differential Equations 4 Statistical Learning 4 Chaos Theory 2 Ring Theory 1 Homotopy Type Theory 1

Keywords

mathematics 2 awesome 1 awesome-list 1 computer-science 1 list 1 lists 1 theoretical-computer-science 1 theory-of-computation 1 compiler 1 jit-compiler 1 jupyter 1 linear-algebra 1 matlab 1 numerical-analysis 1 octave 1 plotting 1 python 1 r 1 rust 1 scientific-computing 1