Bayes theorem, the geometry of changing beliefs
The goal is for you to come away from this video understanding one of the most important formulas in all of probability, Bayes’ theorem. This formula is central to scientific…
But what is the Fourier Transform? A visual introduction.
This right here is what we're going to build to, this video: A certain animated approach to thinking about a super-important idea from math: The Fourier transform. For anyone unfamiliar…
Limits, L’Hôpital’s rule, and epsilon delta definitions | Chapter 7, Essence of calculus
The last several videos have been about the idea of a derivative, and before moving on to integrals, I want to take some time to talk about limits. To be…
Limits, L’Hôpital’s rule, and epsilon delta definitions | Chapter 7, Essence of calculus
The last several videos have been about the idea of a derivative, and before moving on to integrals, I want to take some time to talk about limits. To be…
e^(iπ) in 3.14 minutes, using dynamics | DE5
One way to think about the function e^t is to ask what properties it has. Probably the most important one, from some points of view the defining property, is that…
Binomial distributions | Probabilities of probabilities, part 1
You're buying a product online, and you see 3 different sellers. They're all offering that same product, at essentially the same price. One of them has a 100% positive rating,…
We ran a contest for math explainers, here are the results (SoME2)
In the last month or two, there's been a measurable increase in the attention to a wide variety of smaller math channels on YouTube. My friend James and I ran…
Taylor series | Chapter 11, Essence of calculus
When I first learned about Taylor series, I definitely didn’t appreciate how important they are. But time and time again they come up in math, physics, and many fields of…
But what is a Fourier series? From heat flow to drawing with circles | DE4
Here, we look at the math behind an animation like this, what’s known as a “complex Fourier series”. Each little vector is rotating at some constant integer frequency, and when…
Quaternions and 3d rotation, explained interactively
In a moment, I’ll point you to a separate website hosting a short sequence of what we’re calling “explorable videos”. It was done in collaboration with Ben Eater, who runs…