15:30

What "Follow Your Dreams" Misses | Harvey Mudd Commencement Speech 2024

26:10

Attention in transformers, visually explained | Chapter 6, Deep Learning

27:14

But what is a GPT? Visual intro to transformers | Chapter 5, Deep Learning

13:25

4 questions about the refractive index | Optics puzzles 4

29:24

But why would light "slow down"? | Optics puzzles 3

22:12

25 Math explainers you may enjoy | SoME3 results

21:33

Explaining the barber pole effect from origins of light | Optics puzzles 2

09:57

Polarized light in sugar water | Optics puzzles 1

13:16

A pretty reason why Gaussian + Gaussian = Gaussian

16:13

This pattern breaks, but for a good reason | Moser's circle problem

04:00

How They Fool Ya (live) | Math parody of Hallelujah

27:25

Convolutions | Why X+Y in probability is a beautiful mess

24:46

Why π is in the normal distribution (beyond integral tricks)

31:15

But what is the Central Limit Theorem?

23:01

But what is a convolution?

17:26

Researchers thought this was a bug (Borwein integrals)

17:01

What makes a great math explanation? | SoME2 results

18:49

How to lie using visual proofs

34:36

Olympiad level counting (Generating functions)

10:53

Oh, wait, actually the best Wordle opener is not “crane”…

30:38

Solving Wordle using information theory

40:06

A tale of two problem solvers (Average cube shadows)

12:40

2021 Summer of Math Exposition results

27:36

Beyond the Mandelbrot set, an intro to holomorphic dynamics

26:06

From Newton’s method to Newton’s fractal (which Newton knew nothing about)

24:21

The Summer of Math Exposition (SoME1)

13:13

A quick trick for computing eigenvalues | Chapter 15, Essence of linear algebra

27:07

How (and why) to raise e to the power of a matrix | DE6

21:14

The medical test paradox, and redesigning Bayes' rule

16:50

Hamming codes part 2: The one-line implementation

20:05

But what are Hamming codes? The origin of error correction

21:58

Group theory, abstraction, and the 196,883-dimensional monster

18:42

The impossible chessboard puzzle

07:19

The DP-3T algorithm for contact tracing (via Nicky Case)

02:13

Lockdown math announcement

10:01

Why “probability of 0” does not mean “impossible” | Probabilities of probabilities, part 2

23:12

Simulating an epidemic

12:34

Binomial distributions | Probabilities of probabilities, part 1

08:57

Exponential growth and epidemics

03:48

The quick proof of Bayes' theorem

15:11

Bayes theorem, the geometry of changing beliefs

19:06

Q&A with Grant, windy walk edition

22:21

Why do prime numbers make these spirals? | Dirichlet’s theorem and pi approximations

16:03

The unexpectedly hard windmill question (2011 IMO, Q2)

04:08

e^(iπ) in 3.14 minutes, using dynamics | DE5

12:29

Pure Fourier series animation montage

24:47

But what is a Fourier series? From heat flow to drawing with circles | DE4

14:13

Solving the heat equation | DE3

17:39

But what is a partial differential equation? | DE2

27:16

Differential equations, a tourist's guide | DE1

12:12

Cramer's rule, explained geometrically | Chapter 12, Essence of linear algebra

14:41

How colliding blocks act like a beam of light...to compute pi.

15:16

Why do colliding blocks compute pi?

05:13

The most unexpected answer to a counting puzzle

15:51

But why is a sphere's surface area four times its shadow?

19:22

Using topology for discrete problems | The Borsuk-Ulam theorem and stolen necklaces

11:28

Why 5/3 is a fundamental constant for turbulence

05:59

Quaternions and 3d rotation, explained interactively

31:51

Visualizing quaternions (4d numbers) with stereographic projection

10:21

Q&A with Grant Sanderson (3blue1brown)