Mathematics

But what is the Fourier Transform? A visual introduction.

Why this puzzle is impossible

The hardest problem on the hardest test

Théorème de Bayes

Bayes' Theorem

Hilbert's Curve: Is infinite math useful?

Spring 2016 Lecture 17 Probability 1 default c543378d

Spring 2015 Lecture 23 Linear Algebra default

Spring 2015 Lecture 18 Probability 2

Spring 2015 Lecture 17 Probability 1 default

Spring 2015 Lecture 16 Godel's Incompleteness Theorems default

Spring 2013 Lecture 18 Random Walks default 70d4e4b6

Spring 2013 Lecture 15 Polynomials default ee567245

Great Ideas in Theoretical Computer Science: Number Theory (Spring 2015)

Great Ideas in Theoretical Computer Science: Gödel's Incompleteness Theorems (Spring 2013)

Analysis of Boolean Functions at CMU - Lecture 22: Sanders's Theorem

Analysis of Boolean Functions at CMU - Lecture 21: Additive combinatorics

Analysis of Boolean Functions at CMU - Lecture 20: Majority Is Stablest Theorem

Analysis of Boolean Functions at CMU - Lecture 18: The Hypercontractivity Theorem

Analysis of Boolean Functions at CMU - Lecture 12: Bonami's Lemma and the KKL Theorem

All possible pythagorean triples, visualized

Pi hiding in prime regularities

Taylor series | Chapter 11, Essence of calculus

What does area have to do with slope? | Chapter 9, Essence of calculus

Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus

Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus

Implicit differentiation, what's going on here? | Chapter 6, Essence of calculus

What's so special about Euler's number e? | Chapter 5, Essence of calculus

Visualizing the chain rule and product rule | Chapter 4, Essence of calculus

Derivative formulas through geometry | Chapter 3, Essence of calculus

The paradox of the derivative | Chapter 2, Essence of calculus

The essence of calculus

Group Theory in Quantum Mechanics (2017 Sp) - Lecture #23

The Bayesian Trap

Group Theory in Quantum Mechanics (2017 Sp) - Lecture #17b

Euler's formula with introductory group theory

Coefficient de détermination R²

Coefficient of Determination R²

Fractals are typically not self-similar

Petits échantillons

Small samples

But what is the Riemann zeta function? Visualizing analytic continuation

Binary, Hanoi, and Sierpinski, part 2