Math Resources

Youtube channels/series

Podcasts

Encyclopedia/Wikis

Wolfram Mathworld
ProofWiki
The Encyclopedia of Mathematics
PlanetMath
The On-Line Encyclopedia of Integer Sequences® (OEIS®)
Mathwords Terms and Formulasfrom Beginning Algebra to Calculus

Blogs

Terence Tao's blog Updates on my research and expository papers, discussion of open problems, and other maths-related topics.
BetterExplained Learn to understand math, not memorize it.
Math3ma

Tools

Wolfram Alpha
Microsoft Math Solver
Quickmath Solvers
SageMath
Macaulay2
Singular
GNU Octave
SymboLab
Desmos
Maxima , a Computer Algebra System
SymPy is a Python library for symbolic mathematics.
GeoGebra for Teaching and Learning Math
Manim Animation engine for explanatory math videos
Magma Computational Algebra System
MathJax Beautiful and accessible math in all browsers

Commercial Softwares

Misc

International Mathematical Olympiad (IMO) is the World Championship Mathematics Competition for High School students and is held annually in a different country.
MathOverflow
Mathematics Stack Exchange
Journal of Integer Sequences This is the home page for the electronic Journal of Integer Sequences, ISSN 1530-7638.

Free/Open Books

Collections

OpenStax Math Open sourced Math books.
CLP Calculus Textbooks by Joel Feldman, Andrew Rechnitzer and Elyse Yeager.
OpenIntro Open books on Maths and Statistics.
OpenTextBookStore
Stitz Zeager Open Source Mathematics Home to free and open precalculus materials.

Individual Books

A Computational Introduction to Number Theory and Algebra by Victor Shoup
A First Course in Complex Analysis by Matthias Beck, Gerald Marchesi, Dennis Pixton, and Lucas Sabalka
A First Course in Linear Algebra by Rob Beezer
A Friendly Introduction to Mathematical Logic by Christopher C. Leary and Lars Kristiansen
A Gentle Introduction to the Art of Mathematics by Joseph Fields
Abstract Algebra: The Basic Graduate Year by Robert B. Ash
Abstract Algebra: Theory and Applications by Thomas W. Judson
Active Prelude to Calculus by Matthew Boelkins
Advanced Algebra by Anthony W. Knapp
Algebra: Abstract and Concrete by Frederick Goodman
Algebra: An Elementary Text-Book, Part I (1904) by G. Chrystal
Algebra: An Elementary Text-Book, Part II (1900) by G. Chrystal
Algebraic Topology by Allen Hatcher
An Introduction to the Theory of Numbers by Leo Moser
Analytic Geometry (1922) by Lewis Parker Siceloff, George Wentworth, David Eugene Smith
APEX Calculus by Gregory Hartman, Brian Heinold, Troy Siemers, and Dimplekumar Chalishajar
Applied Combinatorics by Mitchel T. Keller and William T. Trotter
Applied Discrete Structures by Alan Doerr and Kenneth Levasseur
Basic Algebra by Anthony W. Knapp
Basic Analysis: Introduction to Real Analysis by Jiří Lebl
Algebra, Topology, Differential Calculus, and Optimization Theory For Computer Science and Machine Learning by Jean Gallier and Jocelyn Quaintance
Bayesian Methods for Hackers by Cameron Davidson-Pilon
Beginning and Intermediate Algebra by Tyler Wallace
Book of Proof by Richard Hammack
Calculus by Gilbert Strang
Calculus I by Jerrold E. Marsden and Alan Weinstein
Calculus in Context by James Callahan
Calculus Made Easy by Silvanus P. Thompson
Combinatorics Through Guided Discovery by Kenneth Bogart
Complex Analysis by George Cain
Computational and Inferential Thinking: The Foundations of Data Science by Ani Adhikari, John DeNero, David Wagner
Computational Mathematics with SageMath by Paul Zimmermann et al.
Concepts & Applications of Inferential Statistics
Convex Optimization by Stephen Boyd and Lieven Vandenberghe
Differential Equations by Paul Dawkins
Differential Equations (1922) by H. B. Phillips
Discrete Mathematics: An Open Introduction by Oscar Levin
Discrete Mathematics: First and Second Course by Edward A. Bender and S. Gill Williamson
Elementary Differential Equations by William F. Trench
Elementary Differential Equations with Boundary Value Problems by William F. Trench
Elementary Number Theory: Primes, Congruences, and Secrets by William Stein
Elementary Real Analysis by Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner
Elements of Abstract and Linear Algebra by E. H. Connell
Elements of Differential and Integral Calculus (1911) by William Anthony Granville
Essentials of Metaheuristics by Sean Luke
First Course in Algebra (1910) by Herbert E. Hawkes, William A. Luby, Frank C. Touton
Foundations of Combinatorics with Applications by Edward A. Bender and S. Gill Williamson
Foundations of Constructive Probability Theory by Yuen-Kwok Chan
Geometry with an Introduction to Cosmic Topology by Michael P. Hitchman
Graph Theory
How We Got from There to Here: A Story of Real Analysis by Robert Rogers and Eugene Boman
Introduction to Proofs by Jim Hefferon
Introduction to Real Analysis by William F. Trench
Introduction to Statistical Thought by Michael Lavine
Kalman and Bayesian Filters in Python
Knapsack Problems - Algorithms and Computer Implementations by Silvano Martello and Paolo Toth
Lecture Notes of Linear Algebra by Dr. P. Shunmugaraj, IIT Kanpur
Lies, Damned Lies, or Statistics: How to Tell the Truth with Statistics by Jonathan A. Poritz
Linear Algebra
Linear Algebra by Jim Hefferon
Linear Algebra Done Wrong by Sergei Treil
Linear Algebra, Infinite Dimensions, and Maple by James Herod
Linear Methods of Applied Mathematics by Evans M. Harrell II and James V. Herod
Magic Squares and Cubes (1917) by W. S. Anderson
Math in Society by David Lippman
Mathematical Analysis I by Elias Zakon
Mathematical Discovery by Andrew M. Bruckner, Brian S. Thomson, and Judith B. Bruckner
Mathematical Logic by an Introduction
Mathematical Reasoning: Writing and Proof by Ted Sundstrom
Mathematics, MTH101A by P. Shunmugaraj, IIT Kanpur
Modern Statistics for Modern Biology by Susan Holmes and Wolfgang Huber
Multivariable Calculus by George Cain and James Herod
Non-Uniform Random Variate Generation by Luc Devroye
Notes on Diffy Qs: Differential Equations for Engineers by Jiří Lebl
Number Theory by Holden Lee
Number Theory: In Context and Interactive by Karl-Dieter Crisman
Odds and Ends: Introducing Probability & Decision with a Visual Emphasis by Jonathan Weisberg
Online Statistics Education by David Lane
ORCCA: Open Resources for Community College Algebra by Portland Community College
Plane Geometry (1913) by George Wentworth and David Eugene Smith
Planes and Spherical Trigonometry (1915) by George Wentworth and David Eugene Smith
Probability and Statistics Cookbook
Probability and Statistics EBook
Probability: Lectures and Labs by Mark Huber
Recreations in Math by H. E. Licks
Sage for Undergraduates by Gregory Bard
Second Course in Algebra by Herbert E. Hawkes, William A. Luby, Frank C. Touton
Seven Sketches in Compositionality: An Invitation to Applied Category Theory by Brendan Fong and David I. Spivak
Shape Interrogation for Computer Aided Design and Manufacturing
Statistical Thinking for the 21st Century by Russell A. Poldrack
Statistics Done Wrong by Alex Reinhart
SticiGui by Philip Stark
Tea Time Numerical Analysis by Leon Q. Brin
The Joy of Cryptography by Mike Rosulek
Think Bayes: Bayesian Statistics Made Simple by Allen B. Downey
Think Stats: Probability and Statistics for Programmers by Allen B. Downey
Vector Calculus by Michael Corral
Yet Another Introductory Number Theory Textbook by Jonathan A. Poritz

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A Layman’s Guide to Recreational Mathematics Videos Article that introduces about multiple math channels and podcasts.
Awesome Math A curated list of awesome mathematics resources.##