纯数学视频与学习指南
想建立线性代数的几何直觉，可以从向量课程开始。进入证明或更抽象的内容前，先比较各视频的难度与主题。完整分类也包含线性代数以外的数学内容。
本分类共 97 个视频，按推荐分排序。
本主题视频
1:30:50Lecture 7: Introduction to Galois Fields for the AES by Christof Paar
13:29Infinite fractions and the most irrational number
![《Hyperbolica: A Non-Euclidean Adventure [Old Trailer]》的视频缩略图](https://i.ytimg.com/vi/EMKLeS-Uq_8/hqdefault.jpg)
0:51Hyperbolica: A Non-Euclidean Adventure [Old Trailer]
44:09Lec 1 | MIT 6.042J Mathematics for Computer Science, Fall 2010
58:30What if Current Foundations of Mathematics are Inconsistent? | Vladimir Voevodsky
1:31:28Stanford Seminar: Beyond Floating Point: Next Generation Computer Arithmetic
21:27How Many Holes Does a Human Have?
40:39Category Theory in Life - Eugenia Cheng
1:06:15The Hyperbolic Geometry of DMT Experiences (@Harvard Science of Psychedelics Club)
1:36:54Category Theory by Tom LaGatta
6:35The Maths of General Relativity (1/8) - Spacetime and Worldlines
1:20:33Lecture 1 | Convex Optimization I (Stanford)
7:50ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
14:27A simple trick to design your own solutions for Rubik's cubes
1:21:56Eric Weinstein: Revolutionary Ideas in Science, Math, and Society | Lex Fridman Podcast #16
7:27Sloane's Gap - Numberphile
10:33Strange Spheres in Higher Dimensions - Numberphile
9:47Feynman: Mathematicians versus Physicists
9:27Pentagons Are Terrible at One Thing
11:52Gregory Chaitin - Is Mathematics Invented or Discovered?
13:385040 and other Anti-Prime Numbers - Numberphile
8:25Klein Bottles - Numberphile
51:16What is Euler's formula actually saying? | Ep. 4 Lockdown live math
3:49The Trinity Hall Prime - Numberphile
21:58Group theory, abstraction, and the 196,883-dimensional monster
57:32Five Stages of Accepting Constructive Mathematics - Andrej Bauer
21:05Why is there no equation for the perimeter of an ellipse‽
1:03:14Category Theory, The essence of interface-based design - Erik Meijer
23:08The mathematician who cracked Wall Street | Jim Simons
10:20