awesome-math

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

Last synced: about 21 hours ago
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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
  - An Undergraduate Course in Abstract Algebra - Robert Howlett
  - Elements of Abstract and Linear Algebra - E.H. Connell (University of Miami)
  - Abstract Algebra: Harvard Extension Videos - Benedict Gross
- 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)
  - A Course in Universal Algebra - S. Burris, H.P. Sankappanavar
- 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
  - Fields and Galois Theory - J.S. Milne
- 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
  - Notes on Finite Group Theory - Peter J. Cameron
- Lie Algebras
  - Lie Algebras - Shlomo Sternberg
  - 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
  - Vector Space Theory - Robert Howlett
  - Linear Algebra Done Wrong - Sergei Treil
- Ring Theory
  - Foundations of Module and Ring Theory - Robert Wisbauer (University of Düsseldorf)
  - 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
  - Complex Analysis - Christian Berg
  - Complex Analysis - Christer Bennewitz
  - Complex Analysis - G. Cain (Georgia Tech)
- 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)
  - Functional Analysis - Alexander C. R. Belton
  - Functional Analysis - Lawerence Baggett
- 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)
  - Fourier Analysis - Lucas Illing
  - 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
  - An Introduction to Measure Theory - Terence Tao (UCLA)
  - Lecture Notes on Measure Theory and Functional Analysis - P. Cannarsa, T. D’Aprile
- 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
  - Difference Equations To Differential Equations - Dan Sloughter
  - Ordinary Differential Equations - Gabriel Nagy
  - 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
- 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
  - Real Analysis for Graduate Students - Richard F. Bass
  - Analysis of Functions of a Single Variable - Lawerence Baggett
  - The Calculus of Functions of Several Variables - Dan Sloughter
  - Active Calculus - Matt Boelkins
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)

Programming Languages

Rust 1 Jupyter Notebook 1 Python 1

Categories

Probability and Statistics 162 Analysis 116 Geometry and Topology 79 Foundations of Mathematics 71 Algebra 71 Encyclopedia 48 Youtube Series 39 Tools 34 Number Theory 25 Learning Platforms 18 Books 15 Combinatorics 14 Numerical Analysis 13 Misc 13 Mathematical Physics 9 Mathematics for Computer Science 8 Signal processing 7 Magazines 7 Blogs 5 Meetings and Conferences 3 Questions and Answers 2 Mathematical Biology 2 Learn to Learn 1

Sub Categories

Statistics 78 Probability Theory 66 Stochastic processes 53 Real Analysis 40 Graph Theory 24 Linear Algebra 24 Logic 23 Category Theory 21 Ordinary Differential Equations 20 Analytic Number Theory 19 Complex Analysis 18 Surreal Numbers 17 Abstract Algebra 16 Differential Geometry 16 Topology 16 Functional Analysis 15 Algebraic Topology 13 Lie Algebras 11 Algebraic Geometry 10 Measure Theory 10 Galois Theory 9 Set Theory 8 Harmonic Analysis 7 Algebraic Number Theory 6 Type Theory 6 Transition To Pure Rigour Math 6 Group Theory 6 Algebraic Statistics 5 Statistical Learning 4 Partial Differential Equations 4 Ring Theory 2 Homotopy Type Theory 2 Chaos Theory 2

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