3Blue1Brown · Education

3Blue1Brown

My name is Grant Sanderson. Videos here cover a variety of topics in math, or adjacent fields like physics and CS, all with an emphasis on visualizing the core ideas. The goal is to use animation to help elucidate and motivate otherwise tricky topics, and for difficult problems to be made simple with changes in perspective. For more information, other projects, FAQs, and inquiries see the website: https://www.3blue1brown.com

Episodes

The podcast delves into the mathematical concepts behind complex Fourier series and their application in animations. It explains how these series, which involve summing rotating vectors, can be used to create intricate shapes and patterns. The discussion traces the origins of Fourier series back to the heat equation an...

Solving the heat equation | DE3

16 Jun 2019

14m

But what is a partial differential equation? | DE2

21 Apr 2019

17m

Differential equations, a tourist's guide | DE1

31 Mar 2019

27m

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

17 Mar 2019

12m

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

03 Feb 2019

14m

Why do colliding blocks compute pi?

20 Jan 2019

15m

The most unexpected answer to a counting puzzle

13 Jan 2019

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

02 Dec 2018

15m

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

18 Nov 2018

19m

Why 5/3 is a fundamental constant for turbulence

07 Nov 2018

11m

Quaternions and 3d rotation, explained interactively

26 Oct 2018

Visualizing quaternions (4d numbers) with stereographic projection

06 Sep 2018

31m

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The podcast episode delves into the mathematical concept of quaternions, explaining them as a four-dimensional extension of complex numbers with practical applications in 3D rotations and quantum mechanics. It recounts the historical discovery by William Rowan Hamilton and addresses the initial resistance to quaternion...