Group theory, abstraction, and the 196,883-dimensional monster
3Blue1Brown1 HN recommenders · 2021–2023
3.8M views · explainer · evergreen · Uploaded 2020-08-19
3Blue1Brown introduces group theory and abstract groups, then builds toward classification of finite simple groups and the enormous Monster group with its 196,883 dimensions.
Mentioned as a favorite 3Blue1Brown video and a related watch in threads about deep mathematical structure.
9:52Vectors | Chapter 1, Essence of linear algebra
3Blue1Brown
19:42But what is the Fourier Transform? A visual introduction.
3Blue1Brown
18:40But what is a neural network? | Deep learning chapter 1
3Blue1Brown
24:26The Beauty of Bézier Curves
Freya Holmér
1:13:50The Continuity of Splines
Freya Holmér
1:00:43Jim Simons (full length interview) - Numberphile
Numberphile2
39:49Lec 1 | MIT 18.06 Linear Algebra, Spring 2005
MIT OpenCourseWare
25:16But how does bitcoin actually work?
3Blue1Brown
3 comments from Hacker News
As a noob I'd say this also falls into that category: [0]. Who knows, if enough people ask about it on his reddit (topic requests) :) : [1] [0] [VIDEO] [1] [LINK]
See also: The monster: [VIDEO] Ideal packing of squares (some are elegant, 17 is not) [LINK] The 4 color theorem was solved by reducing it down to 633 cases and just using a computer to find a coloring for each case: [LINK]
3b1b uses a python library for creating those videos. [LINK] As far as a math educator/communicator, one of my favorite videos of his is the video on the monster. [VIDEO] Also since we're talking about powerpoint here you should probably see this Matt Parker video about excel being used in ways it shouldn't maybe? [LINK]