Books
Infinite Powers: How Calculus Reveals the Secrets of the Universe by Steven Strogatz
Measurement by Paul Lockhart
Here's Looking at Euclid: From Counting Ants to Games of Chance - An Awe-Inspiring Journey Through the World of Numbers by Alex Bellos
Hello World: Being Human in the Age of Algorithms by Hannah Fry
The Code Book: The Science of Secrecy from Ancient Egypt to Quantum Cryptography by Simon Singh
Media
3Blue1Brown by Grant Sanderson
Recommended 3Blue1Brown Videos:
- Hilbert's Curve: Is infinite math useful?
- But what is the Fourier Transform? A visual introduction.
- Fractals are typically not self-similar
- Essence of linear algebra (A Video Series)
- Essence of calculus (A Video Series)
- Lockdown Math (A Lecture Series)
Art of the Problem by Brit Cruise
Recommended Art of the Problem Videos:
Recommended Welch Labs Videos:
- Imaginary Numbers Are Real (A 13-Part Video Series)
- Imaginary Numbers are Real Workbook (PDF)
- Self-Driving Cars (A 2-Part Series)
Recommended Vi Hart Videos:
- How many kinds of infinity are there?
- Doodling in Math Class: Spirals, Fibonacci, and Being a Plant Part 1 Part 2 Part 3
- Hexaflexagons (Arts and Crafts Video Series)
Dimensions and Chaos (films by Jos Leys and Étienne Ghys)
TED-Ed Recommended Videos:
Mathologer by Burkard Polster and Marty Ross
Mathologer Recommended Videos:
- The parity of permutations and the Futurama theorem
- Times Tables, Mandelbrot and the Heart of Mathematics
- A simple trick to design your own solutions for Rubik's cubes
- e to the pi i for dummies
The Royal Institution Recommended Videos:
- Christmas Lecture Highlights (Video Playlist)
- Christmas Lectures 2019 by Hannah Fry: How to Get Lucky, How to Bend the Rules, How Can We All Win?
Numberphile and Computerphile by Brady Haran (YouTube Channels)
Stand-up Maths by Matt Parker (YouTube Channel)
Eddie Woo (YouTube Channel)
QEDCAT by Burkard Polster and Marty Ross
A Brief History of Mathematics by Marcus du Sautoy (A Radio Series)
Unsolved Mathematical Problems for K-12 by Gordon Hamilton (aka MathPickle)
Websites
Math for Seven-Year-Olds: Graph Coloring, Chromatic Numbers, and Eulerian Paths and Circuits by Joel David Hamkins (PDF here)
Math for Eight-Year-Olds: Graph Theory for Kids! by Joel David Hamkins (PDF here)
Math for Nine-Year-Olds: Fold, Punch and Cut for Symmetry! by Joel David Hamkins
MathPickle by Gordon Hamilton