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Articles and Essays

How to read mathematics
Roots of unity
Be Suspicious Of Online Movie Ratings, Especially Fandango’s
The Simpsons' secret formula: it's written by maths geeks

Audios and Podcasts

Relatively prime
The Type Theory Podcast
Breaking Math
OAME talks - About teaching mathematics
Make Math Moments - About teaching mathematics
Estimation 180
Math for breakfast- About teaching mathematics
Mr Barton Maths
10 Minute Teacher Podcast
Numberphile
A brief history of Mathematics
Simon Singh's Numbers
Sum of all parts
The Math Guy
My favourite Theorem
WS More or Less: When maths mistakes really matter
WS More or Less: When’s a Kilogram Not a Kilogram?
WS More or Less: Kilobyte to Brontobyte
WS More or Less: Why Albums are Getting Longer
One in 500 Year Storm
WS More or Less: The story of average
The maths of spies and terrorists
WS More or Less: How not to test public opinion
The High Street, Home Births and Harry Potter Wizardry
Abortion, modern slavery, math versus maths
WS More or Less: Debunking guide – on a postcard
Radiolab - Numbers
For The Love Of Numbers
Speed
Math, Kurt Weill, Danica McKellar
Bad Incentives Are Blocking Better Science
The Secret To Tracking And Mapping Bears
Who’s Accountable When An Algorithm Makes A Bad Decision?
Can You Taste The Algorithm In This Arugula?
Rating Subjective Experiences Is Hard, But Fandango Is Really Bad At It
Episode 912: How Uncle Jamie Broke Jeopardy
10 11 51 52 62 18
Episode 677: The Experiment Experiment
Why A Pack Of Peanut Butter M&M's Weighs A Tiny Bit Less Than A Regular Pack
Episode 485: What's Your Major?
At $17.5 Million A Year, Le Bron James Is Underpaid
Hooponomics
Hurricane Joseph & The Calculator That Time Forgot
“How Much Brain Damage Do I Have?”
How Do We Know What Really Works In Healthcare?
In Physics, Beauty May Be Overrated
How Can Math Make Your Holidays Merrier?
Randall Munroe Asks, ‘What If?’
Why Machines Discriminate—and How to Fix Them
The Surprisingly Predictable Patterns of Random Choice
Do Your Patriotic Duty: Learn Math
The Simpsons' Secret? It's Written By Math Geeks
Eugenia Cheng: How To Bake Pi
Pi Day
A Broadway Hit, With An Autistic Math Whiz At Its Center
The Teacher Who Believes Math Equals Love
Steven Strogatz: The Joy Of 'X'
Why Aren't More Girls Attracted To Physics?
Actress Danica Mc Kellar Helps “Girls Get Curves”
Marketplace Weekend
Loneliness: Stories About Finding Friends
Help: Stories about desperate situations
In Honor Of Pi Day: Stories About Math
Math Problems: Stories About Struggles With Math
Adriana Salerno: A Different Kind Of Problem
Alex Bellos: Your Favorite Number
Edward Frenkel: The Test
Teachers on Math Strategy
Erika Engelhaupt: The Science Of Speeding
Jen Fitzgerald: Rocky The Mathlete
Children Catch Math Anxiety From Parents
The Age of the Algorithm
On Average
What Really Is At The Bottom Of The Sea?
What’s In A Number? — 2006 Edition
Am I Normal? Download
How One Computer Hacker Conquered Online Dating, Opens Locked Cars, and More (#74)
Down and Dirty at the Museum of Math?

Blogs and Twitter feeds

How to Teach Yourself Math
Comfortable Numbered
Danny Gratzer
Henry de Valence
Math ⋂ Programming
Nicky Case
Quantitative Journey
Random ASCII
Shape Operator
Shtetl-Optimized
Steven Wittens
The Polymath
Pinwheels for Peace 2018 - Combining Art, Math, and Desmos

Books

The Shape of Space
Partial Differential Equations for Scientists and Engineers
Applied Mathematics: A Very Short Introduction
Mathematics: A Very Short Introduction
Game Theory: A Very Short Introduction
Numbers: A Very Short Introduction
Probability: A Very Short Introduction
A mathematician's apology (1940)
Handbook of mathematics (1945)
Fantasia mathematica (1958)
Gödel's proof (1958)
Sphereland (1965)
Topology from a differentiable viewpoint (1965)
An introduction to commutative algebra (1969)
Mathematics made difficult (1972)
A course in arithmetic (1973)
Introductory functional analysis with applications (1978)
A book of abstract algebra (1982)
To mock a mockingbird (1985)
Proofs and types (1989)
Primes of the Form X2 + Ny2: Fermat, Class Field Theory, and Complex Multiplication (1989)
Algebraic Number Theory (1992)
Concrete mathematics (1994)
How to prove it (1994)
Linear algebra done right (1995)
Algebraic Curves and Riemann Surfaces (1995)
Visual complex analysis (1997)
Conceptual Mathematics: A First Introduction To Categories (1997)
Geometry and the imagination (1999)
Combinatorial Optimization: Polyhedra and Efficiency (2002)
Sets for Mathematics (2003)
A first course in linear algebra (2004)
The art of problem solving (2006)
The princeton companion to mathematics (2008)
Visual group theory (2009)
Algebra: Chapter 0 (2009)
Essentials of discrete mathematics (2009)
Computational Topology: An Introduction (2010)
Foundations of analysis (2012)
Homotopy type theory (2013)
The napkin project (2017)
Mathematics for computer science (2017)
Immersive linear algebra (2017)
Programmer's Introduction to Mathematics (2018)
Physically based rendering: from theory to implementation
Invitation to ergodic theory
Abstract Algebra: Theory and Applications
Linear algebra
Books by John Allen Paulos
Disquisitiones Arithmeticae
Reading List by American Institute of Mathematics
Introduction To Bayesian Statistics (2007)
The Indisputable Existence of Santa Claus
How to Bake Pi
The Joy of x
Love and Math
How to Solve It

Forums and Chat Groups

Fived
Fractals
Gonwild
Holofractal
Hypershape
Math
Freenode IRC #math

Cheatsheets

All-in-one Mathematics Cheatsheet

Courses and MOOCs

Introduction to Mathematical Thinking
Abstract algebra (2014)
MIT linear algebra (2010)
MIT multivariable calculus (2007)
MIT multivariable calculus by Prof. Denis Auroux
MIT multivariable control systems (2004)
MIT singlevariable calculus (2006)
Nonlinear dynamics and chaos (2014)
Stanford mathematical foundations of computing (2016)
Types, Logic, and Verification (2013)
Discrete Mathematics and Probability Theory
Exploding Dots
Mathematics for Machine Learning Specialization
Khan Academy

FlashCards

Anki Decks

Games

ProdigyGame
NRICH
MathForLove

Interactives and Explorables

Mathigon
Parallel
Seeing Theory
Euclidea: Interactive geometric puzzles

Journals and Magazines

arXiv
arXiv sanity preserver
At Right Angles

Meetups

Association of Teachers of Mathematics

Videos and Films

Euler's Identity
Fractals - the colours of infinity
But what is the Fourier Transform? A visual introduction.
Neural networks
Essence of calculus

Websites

Geogebra
Desmos
MathPix
How these 20+ math tools can make your lessons more exciting
NRICH maths
BLOODHOUND Education
Mathematica
Geometry Games
ScienceFriday Math
Better Explained