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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
Automata Theory
Discrete Optimization
Discrete Mathematics
Introduction to Formal Concept Analysis
Matrix Factorization and Advanced Techniques
Mathematics for Computer Science
Mathematics for Machine Learning: PCA
Computational Thinking for Problem Solving
Essential Math for Machine Learning: R Edition
Mathematics for Machine Learning: Multivariate Calculus
Mathematics for Machine Learning: Linear Algebra
Discrete Structures
Maths Essentials
Probability and Stochastics for finance
Financial Mathematics
Math in Sports
Data Science Math Skills
Probability and Statistics in Data Science using Python
A Mathematical Exploration of Music and Sound
Quantitative Model Checking
Introduction to the Theory of Distributions and Applications
Introduction to Discrete Choice Models
A short lecture series on contour integration in the complex plane
Mathematical Modeling Of Manufacturing Processes
ENGR1.0x: Introduction to Engineering and Engineering Mathematics
Mathematical Methods and Techniques in Signal Processing
How to Learn Math: For Students
Effective Thinking Through Mathematics
Mathematics for economists
Mathematics for Computer Science
Math behind Moneyball
Street-Fighting Math
Mathematics: the Language of Nature
Math 101
Technical Math for Industry
A-level Mathematics for Year 12 - Course 1: Algebraic Methods, Graphs and Applied Mathematics Methods
Essential Math for Machine Learning: Python Edition
Essential Math for Machine Learning: R Edition
Higher Engineering Mathematics
Mathematical Finance
Integral Transforms And Their Applications
Introduction to Methods of Applied Mathematics
Mathematics for Machine Learning: Linear Algebra
Applied Trade Math MOOC
Applied Multivariate Analysis
Numbers for Life
Science Fiction/Science Fact: Predictions and Math (Lite)
Maths for Humans: Linear, Quadratic & Inverse Relations
Maths for Humans: Linear and Quadratic Relations
Maths for Humans: Inverse Relations and Power Laws
Mathematics for Chemistry
Getting a Grip on Mathematical Symbolism
Fractals and Scaling
Engineering Mathematics - I
Advanced Engineering Mathematics
Financial Mathematics
Mathematical methods and its applications
Basic Science: Understanding Numbers
Precalculus: the Mathematics of Numbers, Functions and Equations
Maths Puzzles: Cryptarithms, Symbologies and Secret Codes
Mathematical Modeling in the Life Sciences 生物数学建模
Path Integral and functional methods in quantum field theory
Cracking Mechanics: Further Maths for Engineers
Mathematics for economists
Introduction to Engineering Mathematics with Applications
CSET Math Subtest I Exam Preparation Resource
Teaching Secondary Mathematics through Social Issues
CSET Math Subtest II Exam Preparation Resource
CSET Math Subtest III Exam Preparation Resource
Moving to Maths 2.0
Preparing for College: Math Proficiency
College Mathematics
Precalculus
College Readiness – Reading, Writing and Math
A-level Mathematics for Year 12 - Course 2: Calculus, Newton’s Laws and Hypothesis Testing
Understanding Maths and Logic in Computer Science
The Equipartitioning Learning Trajectory: a K-5 Foundation for Rational Number Reasoning
Mastering Language for the Common Core State Standards: Focus on Mathematics in Elementary Grades
College Readiness Math MOOC
(K-12) Teaching Math Through Problem-Solving K-12
(K-12) Communicating in Mathematics in the K-12 Classroom
Communicating in Math in the K-12 Classroom
Teaching Math Through Problem-Solving K-12
College Readiness (SU17) – Reading, Writing and Math
Math Refresher Course
College Readiness (FL17) – Reading, Writing and Math
Integrating Language Development and Content Learning in Math: Focus on Reasoning
Fraction Foundations: Helping Students Understand Fractions
Teaching Mathematics with Technology
An Introduction to Recreational Math: Fun, Games and Puzzles
World Class Maths: Asian Teaching Methods
Flexagons and the Math Behind Twisted Paper
World Class Maths: Asian Teaching Practice
Maths Subject Knowledge: Proportional Reasoning
Mathematics for Computer Science
Essential Math for Machine Learning: R Edition
Mathematics for Machine Learning: Linear Algebra
Financial Mathematics
Engineering Mathematics - I
Advanced Engineering Mathematics
Discrete Structures
Mathematics for economists
A-level Mathematics for Year 12 - Course 2: Calculus, Newton’s Laws and Hypothesis Testing

  FlashCards

Anki Decks

  Games

ProdigyGame
NRICH
MathForLove

  Interactives and Explorables

Mathigon
Parallel
Seeing Theory
Euclidea: Interactive geometric puzzles
An Interactive Introduction to Fourier Transforms

  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