rossant/awesome-math

Bulletin of the American Mathematical Society - Expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic.

Notices of the American Mathematical Society - Publicizes activities of the Society and features surveys, reports, news, announcements, and opinions on industry trends, academia, and research.

European Mathematical Society Magazine - The Magazine features announcements about meetings and conferences, articles outlining current trends in scientific development, reports on member societies, and many other informational items.

Mathematics Today by Institute of Mathematics and its Applications - News, opinions, and articles related to mathematics, so the reader stays updated.

Crux Mathematicorum by Canadian Mathematical Society - source of unique and challenging mathematical problems designed for the secondary and undergraduate levels. It includes an Olympiad Corner which is helpful for math competitions.

Jan 24th - Jan 30th, 2022

Learning Platforms

Almost Fun

Jan 17th - Jan 23rd, 2022

Misc

Fabrice Baudoin's Notes - Both research and lecture notes on many topics, Including Diffusions on foliated manifold, Stochastic Calculus, Global analysis in Dirichlet spaces, and more.

Dec 27th - Jan 2nd, 2021

Foundations of Mathematics

Logic

Computability - An introduction to recursive function theory - Nigel Cutland (University of Hull)

Dec 6th - Dec 12th, 2021

Tools

xhub

Nov 8th - Nov 14th, 2021

Learning Platforms

Dzdx.xyz

Tools

Unit Converter

Nov 1st - Nov 7th, 2021

Books

Free Mathematics Books

Aug 16th - Aug 22nd, 2021

Geometry and Topology

Algebraic Geometry

A Brief Introduction to Algebraic Geometry - R.C. Churchill

Aug 2nd - Aug 8th, 2021

Learning Platforms

Ximera : free interactive mathematics textbooks (Ohio State University)

Jun 14th - Jun 20th, 2021

Geometry and Topology

Differential Geometry

Discrete Differential Geometry - Keenan Crane

May 31st - Jun 6th, 2021

Analysis

Complex Analysis

A Concise Course in Complex Analysis and Riemann Surfaces - Wilhelm Schlag

Apr 5th - Apr 11th, 2021

Tools

Maxima

Free Math

Mar 8th - Mar 14th, 2021

Learning Platforms

Calculus.org

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 1st - Mar 7th, 2021

Geometry and Topology

Topology

Topology Topics

Analysis

Complex Analysis

Introduction to Complex Analysis - Michael Taylor

Jan 4th - Jan 10th, 2021

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.

Foundations of Mathematics

Transition To Pure Rigour Math

Book of Proof - Richard Hammak (Virginia Commonwealth University)

Sep 28th - Oct 4th, 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

Foundations of Mathematics

Type Theory

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

Tools

Sep 14th - Sep 20th, 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 3rd - Aug 9th, 2020

Foundations of Mathematics

Logic

QED - an interactive textbook - Terence Tao

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

Misc

Recreations in Math - H. E. Licks (1917)

Magic Squares and Cubes - W. S. Andrews (1917)

Convex Optimization - Stephen Boyd and Lieven Vandenberghe

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)

Byrne's Euclid - Oliver Byrne

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)

Learning Platforms

Mathigon

Algebra

Linear Algebra

Interactive Linear Algebra - Dan Margalit and Joseph Rabinoff

Linear Algebra, Infinite Dimensions, and Maple - James Herod

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

Jul 13th - Jul 19th, 2020

Blogs

MathematicsIsAScience - Peter Saveliev (Professor of mathematics at Marshall University, Huntington WV, USA)

Jun 29th - Jul 5th, 2020

Signal processing

Think DSP - Allen B. Downey

Oct 14th - Oct 20th, 2019

Algebra

Galois Theory

Galois Theory - Ian Stewart

Foundations of Mathematics

Type Theory

Type Theory and Functional Programming - Simon Thompson

Intuitionistic Type Theory - Per Martin-Lof

Proofs and Types - Jean-Yves Girard

Jul 29th - Aug 4th, 2019

Algebra

Linear Algebra

Immersive Linear Algebra - J. Ström, K. Åström, and T. Akenine-Möller

May 20th - May 26th, 2019

Tools

Sympy

Sagemath

May 6th - May 12th, 2019

Algebra

Abstract Algebra

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

Apr 8th - Apr 14th, 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 1st - Apr 7th, 2019

Learning Platforms

WooTube

Brilliant

Blogs

Mathsisfun simple text light weight site for students upto highschool

Mar 4th - Mar 10th, 2019

Youtube Series

Nov 26th - Dec 2nd, 2018

Geometry and Topology

Topology

Elementary Applied Topology - Robert Ghrist (UPenn)

Nov 19th - Nov 25th, 2018

Geometry and Topology

Algebraic Geometry

The Stacks Project - Maintained by Aise Johan de Jong (Columbia)

Oct 15th - Oct 21st, 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

Jul 2nd - Jul 8th, 2018

Tools

Jun 4th - Jun 10th, 2018

Algebra

Linear Algebra

Introduction to Applied Linear Algebra - Stephen Boyd (Stanford University), Lieven Vandenberghe (UCLA)

May 28th - Jun 3rd, 2018

Misc

Topology Atlas

Probability and Statistics

Stochastic processes

Convergence of Stochastic Processes - David Pollard

Feb 26th - 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

An Introduction to the Theory of Numbers - Leo Moser

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

A First Courses in Linear Algebra - Rob Breezer

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

Elementary Calculus: An Approach Using Infinitesimals - Professor H. Jerome Keisler

Mathematical Analysis Vol I - Elias Zakon

Mathematical Analysis Vol II - Elias Zakon

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

Concepts and Applications of Inferential Statistics - Richard Lowry

Foundations of Mathematics

Transition To Pure Rigour Math

Basic Concepts of Mathematics - Elias Zakon

Algebra

Lie Algebras

Lie Algebras - Shlomo Sternberg

Geometry and Topology

Mathematical Illustrations - Bill Casselman

Feb 5th - 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

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 18th - Dec 24th, 2017

Books

Trigonometry

Nov 27th - Dec 3rd, 2017

Probability and Statistics

Statistics

Theory of Statistics - James E. Gentle (George Mason University)

Nov 13th - Nov 19th, 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 6th - Nov 12th, 2017

Algebra

Linear Algebra

Linear Algebra - Jim Hefferon

Aug 14th - Aug 20th, 2017

Blogs

3blue1brown - Animated Maths

Jun 26th - Jul 2nd, 2017

Blogs

BetterExplained - Maintained by Kalid Azad

ILoveMaths - For grades 6 thru 12 in K-12 system

Books

Beginning and Intermediate Algebra

Jun 19th - Jun 25th, 2017

Foundations of Mathematics

Surreal Numbers

Surreal Numbers - How two ex-students turned on to pure mathematics and found total happiness - D. E. Knuth

An Introduction to Surreal Numbers - Gretchen Grimm

Surreal Numbers and Games

Conway names, the simplicity hierarchy and the surreal number tree - Philip Ehrlich

May 22nd - May 28th, 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 15th - May 21st, 2017

Books

Calculus: Basic Concepts for High Schools - L.V. Tarasov

Apr 17th - Apr 23rd, 2017

Probability and Statistics

Probability Theory

Probability and Statistics Cookbook - Matthias Vallentin (UC Berkeley)

Feb 6th - Feb 12th, 2017

Encyclopedia

ProofWiki

Wolfram Mathworld

Sep 19th - Sep 25th, 2016

Probability and Statistics

Statistical Learning

Reinforcement Learning: An Introduction - Richard S. Sutton, Andrew G. Barto

Sep 12th - Sep 18th, 2016

Algebra

Linear Algebra

MIT OpenCourseWare Lectures on Linear Algebra (18.06) as Jupyter Notebooks stars441 - Juan Klopper

Sep 5th - Sep 11th, 2016

Learn to Learn

Understanding Mathematics stars751

Aug 8th - Aug 14th, 2016

Probability and Statistics

Statistics

NIST Handbook of Statistical Methods - Resource on practical statistics directed towards scientists and engineers.

Aug 1st - Aug 7th, 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.