List of free mathematics resources(will be continually updated)
Youtube ChannelsVihart: Creative math through doodles
Numberphile: Videos featuring mathematicians talking about many interesting areas and problems in math.
3Blue1Brown: 3Blue1Brown provides explanations driven by animations, making difficult problems simple to understand, with changes in perspective.
PBS Infinite Series: "Ambitious content for viewers that are eager to attain a greater understanding of the world around them . . .With each episode you’ll begin to see the math that underpins everything in this puzzling, yet fascinating, universe."
Yaymath: Math videos filmed in a live classroom. Covers many high school math topics in a fun, inviting school atmosphere.
Eddie Woo: Math videos filmed in a classroom in a public school in Sydney, Australia. "I think learning is awesome, and love being able to share what I've learned with others!"
Here's an introduction to who Eddie Woo is and what he does.Think Twice: Elegant geometric proofs shown visually through animations.
Mathloger: "Enter the world of the Mathologer in which beautiful math(s) rules." Fun little explorations into math.
PatrickJMT: Our favourite online math teacher. "Free math videos for the world".
Educational WebsitesMaths Is Fun: "We offer mathematics in an enjoyable and easy-to-learn manner, because we believe that mathematics is fun". The site is a great resource for simply and intuitively explained topics from Kindergarten to Year 12.
Brilliant: "Math and Science done right". Great for interactive learning, problem solving, and creative thinking.
NRICH: Provides free interesting mathematical games, problems and articles.
Paul's Online Math Notes: Provides a complete set of free online (and downloadable) notes and/or tutorials for classes that the author teaches at Lamar University. Topics cover Algebra, Calculus I, II and III, Differential Equations, and reviews. This site also provides cheat sheets such as Algebra, Trig, Calculus, and Laplace Transform cheat sheets.
Mathigon: "Textbooks come to life!" Mathigon provides a fun and interactive way to learn new mathematics. At every step students have to actively participate, explore, and discover new ideas. Mathigon encourages engaging through problem solving, reasoning and creativity. Every course is filled with colourful illustrations, puzzles, animations and real-life applications.
Cut The Knot: "An encyclopedic collection of math resources for all grades. Arithmetic games, problems, puzzles, and articles."
Purplemath: A good resource for learning many aspects of math. Purplemath is often cited, and is frequently referenced in google searches.
Plus magazine: "Plus is an internet magazine which aims to introduce readers to the beauty and the practical applications of mathematics. Plus provides articles and podcasts on many aspects of math, a news section, showing how recent news stories were often based on some underlying piece of maths that never made it to the newspapers, reviews of popular maths books, and puzzles for you to sharpen your wits.
Stat Trek: Online tutorials and tools to help you learn statistics.
Art of Problem Solving: This is a must for people who wish to undertake mathematical thinking, or are preparing for a math competition.
Better Explained: Math concepts explained in often a new or intuitive way. Gives you something to think about, covers everything from number systems, to calculus, to computer science.
Puzzles/ProblemsProject Euler: Project Euler is a series of challenging mathematical/computer programming problems that will require more than just mathematical insights to solve. Although mathematics will help, the use of a computer and programming skills will be required to solve most problems.The intended audience includes students for whom the basic curriculum is not feeding their hunger to learn.
mathpuzzle: A site dedicated to posting math puzzles and mathematical recreations, inspired by Martin Gardner (who you may recognise from his section in the Scientific American, titled Mathematical games).
Crux Mathematicorum: "Crux Mathematicorum is an internationally respected source of unique and challenging mathematical problems published by the CMS. Designed primarily for the secondary and undergraduate levels, and also containing some pre-secondary material, it has been referred to as 'the best problem solving journal in the world'."
Entertainment WebsitesCoolmath Games: A bunch of kid-friendly non-violent logic and math related games. Categories include strategy, skill, numbers, logic, and trivia. This used to be the go-to game website us kids would log on at school during primary.
Math with bad drawings: Math blog by a person who loves math but is bad at drawing.
r/badmathematics: "A place for sharing the bad math that plagues reddit and the internet as a whole." A good laugh at how people misuse or misunderstand mathematics.
What's Special About This Number?: A distinctive fact about each number from 1 to 9999.
The Geometry Junkyard - Origami: Lots of mathematical origami designs.
PDFs and booksHow To Solve It by George Pólya: A short volume underlining different approaches to solving a mathematical problem. The ideas in this volume are so useful that they can be used not just for solving mathematical problems, but for solving any problem in any field.
How to write proofs: a quick guide by Eugenia Cheng: Short volume covering topics such as: What does writing a proof look like, the general shape of a proof, and common bad ways to write proofs.
The Art and Craft of Problem Solving by Paul Zeitz: Good for a breather in competition mathematics, but is aimed a bit higher than the lower level competitions. Lots of interesting mind exercises and mathematical problems.
A bit of everythingWhat's New: Terrence Tao's blog. The side bar has links to other math related and non-math related websites. Terrence Tao covers such a wide range of topics that it's hard to describe simply.
This is an entry on career advice in math, covering primary school to post-doctoral level.Math3ma: Tai-Danae Bradley's blog, originally created as a tool to help her transition from undergraduate to graduate level mathematics. Some topics covered include category theory, complex analysis, topology, set theory, and much more. Most entries are either a brief (and mostly non-technical) introduction to the topic, or an elaboration of the basic idea via mathematics.
Tao Manifesto: Why choose Tau.
Pi Day and
The Pi Manifesto: Why choose Pi.
The Math Forum: The Math Forum has a rich history as an online hub for the mathematics education community. It contains such sections like Ask Dr. Math, the year game, and problems of the week.
Project Euclid: Project Euclid's mission is to provide powerful, low-cost online hosting and publishing services for theoretical and applied mathematics. It provides free online access to scholarly articles and published journals.
Mathematics Stack Exchange: A question and answer forum. You can browse through answers, or look for answers to your own questions. Covers a wide range of topics.
Gower's Weblog: Sir Timothy Gower - a fields medal recipient - 's blog.
The unfinished PDE coffee table book: "During 2000-2001 a group project based in the Oxford University was begun to write this book. Many people at Oxford and around the world contributed drafts, which were then extensively rewritten and edited to help bring about a uniform style and mathematical level. Unfortunately, the project is stalled, with no plans at present to complete it." This project is still very beautiful, despite being unfinished.
Mathblog: Mathblog.com is dedicated to promoting the beauty of Mathematics at every level. It covers many topics, including applied math, basic math (arithmetic, geometry, algebra, calculus etc), math education, and statistics.
Mathvault: "Resource hub for people pursuing higher mathematics through digital publishing and other nerdy gimmicks."
Desmos: Graph functions, plot data, evaluate equations, explore transformations, and more. It's like the ultimate graphing tool.
Math pages by Stan Brown: Articles covering how to use a graphing calculator, how to show your work and succeed as a student in math, how to teach math, and more topics such as algebra, trig, statistics, and calculus.
Mathsnacks: Collection of pdfs containing small packets of beautiful mathematics. Perfect for posters.