Awesome Math 27

A curated list of awesome mathematics resources.

General Resources

Learning Platforms

Learn to Learn

Understanding Mathematics 11

Youtube Series

Tools

Questions and Answers

Mathematics Stack Exchange
MathOverflow - for professional mathematicians

Encyclopedia

Books

Calculus: Basic Concepts for High Schools 4 - L.V. Tarasov
Basics of Algebra, Topology, and Differential Calculus 2 - Jean Gallier (University of Pennsylvania)
Multivariable Calculus - G. Cain, J. Herod (Georgia Tech)
Wikibooks
Online Mathematics Textbooks
Beginning and Intermediate Algebra 1
Trigonometry

Blogs

BetterExplained 4 - Maintained by Kalid Azad
ILoveMaths 2 - For grades 6 thru 12 in K-12 system
3blue1brown - Animated Maths
Mathsisfun simple text light weight site for students upto highschool

Misc

Areas of mathematics on Wikipedia
Paul’s Online Math Notes - Paul Dawkins (Lamar University)
List of electronic textbooks - Marcel B. Finan (Arkansas Tech University)
Topology Atlas

Lecture Notes

Foundations of Mathematics

Basic Concepts of Mathematics 1 - Elias Zakon

Set Theory

Sets, Relations, Functions 2 - Ivo Düntsch, Günther Gediga
An Introduction to Set Theory - William A. R. Weiss
Set Theory and Foundations of Mathematics - Sylvain Poirier
Set Theory on the Stanford Encyclopedia of Philosophy

Logic

Introduction to Logic - Michael Genesereth, Eric Kao (Stanford University)
An Introduction to Formal Logic - P.D. Magnus (University at Albany)
A Problem Course in Mathematical Logic - Stefan Bilaniuk (Trent University)
Language, Proof, and Logic 1 - Jon Barwise, John Etchemendy
Mathematical Logic 1 - Helmut Schwichtenberg
Mathematical Logic - Stephen G. Simpson (Pennsylvania State University)
Formal Logic - Miguel Palomino
Predictive Arithmetic - Edward Nelson
Proofs and Concepts: the fundamentals of abstract mathematics - Joy Morris, Dave Morris
Mathematical Reasoning: Writing and Proof - Ted Sundstrom

Number Theory

Elementary Number Theory: Primes, Congruences, and Secrets 5 - William Stein
Elementary Number Theory - W. Edwin Clark (University of South Florida)
A Course on Number Theory - Peter J. Cameron
A Computational Introduction to Number Theory and Algebra - Victor Shoup
Number Theory: A Contemporary Introduction - Pete L. Clark
An Introduction to the Theory of Numbers - Leo Moser
Yet Another Introductary Number Theory Textbook 1 - Jonathan A. Poritz
Elementary Number Theory - David M. Burton

Algebraic Number Theory

Introduction to Algebraic Number Theory 2
Introduction to Algebraic Number Theory 2 - F. Oggier
Algebraic Number Theory - J.S. Milne
Algebraic Number Theory Course Notes - Matthew Baker (Georgia Tech)
A Course In Algebraic Number Theory - Robert Ash

Analytic Number Theory

Introduction to Analytic Number Theory - A.J. Hildebrand (University of Illinois)
Elements of Analytic Number Theory - P. S. Kolesnikov, E. P. Vdovin (Novosibirsk)
Analytic Number Theory - Otto Forster (LMU Munich)
Analytic Number Theory - Lecture Notes based on Davenport’s book - Andreas Strömbergsson

Algebra

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

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

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

Linear Algebra

Fundamentals of Linear Algebra 2 - James B. Carrell
Linear Algebra and Matrices 1 - Martin Fluch
Vector Space Theory - Robert Howlett
Linear Algebra - Jim Hefferon
Linear Algebra - Peter Petersen
MIT OpenCourseWare Lectures on Linear Algebra (18.06) as Jupyter Notebooks - Juan Klopper
Linear Algebra - Jim Hefferon
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

Ring Theory

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

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

Lie Algebras

Lie Algebras - Shlomo Sternberg

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
generatingfunctionology - Herbert Wilf

Graph Theory

Graph Theory: Lecture Notes - Christopher Griffin
Graph Theory - Reinhard Diestel

Geometry and Topology

Fundamentals of Geometry - Oleg A. Belyaev
A=B - M. Petkovsek, H. Wilf, D. Zeilberger
Elements - Euclid
Euclid’s Elements Redux - Daniel Callahan
Mathematical Illustrations - Bill Casselman

Differential Geometry

Introduction to Differential Geometry 1 - 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)
The Geometry and Topology of Three-Manifolds - W. Thurston
Semi-Riemann Geometry and General Relativity 1 - Shlomo Sternberg

Algebraic Geometry

A Brief Introduction to Algebraic Geometry - R.C. Churchill
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)
The Stacks Project - Maintained by Aise Johan de Jong (Columbia)

Topology

Elementary Applied Topology - Robert Ghrist (UPenn)
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

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

Analysis

Real Analysis

MIT OpenCourseWare Lectures on Calculus 1 - G. Strang
Elementary Calculus: An Approach Using Infinitesimals - Professor H. Jerome Keisler
An Introduction to Real Analysis 1 - 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

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 1 - Brad Osgood
Fourier Analysis - Lucas Illing

Complex Analysis

Introduction to Complex Analysis 1 - 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)

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

Measure Theory

An Introduction to Measure Theory 1 - 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

Ordinary Differential Equations

Difference Equations To Differential Equations 1 - 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

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)

Probability and Statistics

Probability Theory

Introduction to Probability 2 - Charles M. Grinstead, J. Laurie Snell
Introduction to Probability 1 - Dimitri P. Bertsekas, John N. Tsitsiklis (MIT)
A Short Introduction to Probability 2 - Dirk P. Kroese (University of Queensland)
Probability: Theory and Examples - Rick Durrett
Probability and Statistics Cookbook 1 - Matthias Vallentin (UC Berkeley)
The Only Probability Cheatsheet You’ll Ever Need 1 - William Chen
An Introduction to Probability and Random Processes - Gian-Carlo Rota, Kenneth Baclawski

Statistics

Lecture Notes on Statistical Theory 1 - Ryan Martin (University of Illinois)
Introduction to Statistics and Data Analysis for Physicists - Gerhard Bohm, Günter Zech
Probability and Mathematical Statistics 1 - Prasanna Sahoo (University of Louisville)
Lectures on Statistics - William G. Faris
Statistical Theory - Adolfo J. Rumbos
Theory of Statistics - James E. Gentle (George Mason University)
Theory of Statistics - Joseph C. Watkins (University of Arizona)
Glossary of Data Modeling - AI Access
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.
NIST Handbook of Statistical Methods - Resource on practical statistics directed towards scientists and engineers.
Concepts and Applications of Inferential Statistics - Richard Lowry
Rough set data analysis: A road to non-invasive knowledge discovery - Ivo Düntsch, Günther Gediga

Statistical Learning

An Introduction to Statistical Learning with Applications in R 2 - Gareth James, Daniela Witten, Trevor Hastie, Robert Tibshirani
The Elements of Statistical Learning - Trevor Hastie, Robert Tibshirani, Jerome Friedman
Statistical Learning Theory - Percy Liang
Reinforcement Learning: An Introduction - Richard S. Sutton, Andrew G. Barto

Stochastic processes

Lectures on Stochastic Processes 1 - 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
Convergence of Stochastic Processes - David Pollard

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 1 - Alfred Schmidt, Arsen Narimanyan
Numerical Analysis for Engineers - Douglas Wilhelm Harder

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)

Mathematics for Computer Science

Mathematics for Computer Science 6 - Eric Lehman, F. Thomson Leighton, Albert R. Meyer
Algorithms and Complexity 1 - H. Wilf
Lecture Notes on Optimization - Pravin Varaiya
Information Theory, Inference, and Learning Algorithms - David J. C. MacKay

Mathematical Biology

Mathematical Biology 2 - Jeffrey Chasnov

Mathematical Physics

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

License

To the extent possible under law, Cyrille Rossant 1 has waived all copyright and related or neighboring rights to this work.

Source: GitGub 12

Awesome Machine Learning And Deep Learning Mathematics 27

Awesome Machine Learning And Deep Learning Mathematics 16
A curated list of mathematics documents ,Concepts, Study Materials , Algorithms and Codes available across the internet for machine learning and deep learning

Awesome Mathematics Resources | Everything That You Need 100