纯数学视频
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
9:51Vectors | Chapter 1, Essence of linear algebra
19:42But what is the Fourier Transform? A visual introduction.
39:49Lec 1 | MIT 18.06 Linear Algebra, Spring 2005
9:18The Most IMPORTANT Video You'll Ever See (part 1 of 8)
17:05The essence of calculus
1:37:22Siggraph2019 Geometric Algebra
46:46Category Theory 1.1: Motivation and Philosophy
5:09Essence of linear algebra preview
44:23A Swift Introduction to Geometric Algebra
11:15The hardest problem on the hardest test
![《Imaginary Numbers Are Real [Part 1: Introduction]》的视频缩略图](https://i.ytimg.com/vi/T647CGsuOVU/hqdefault.jpg)
5:47Imaginary Numbers Are Real [Part 1: Introduction]
10:03The determinant | Chapter 6, Essence of linear algebra
21:36Fractals are typically not self-similar
24:14The Banach–Tarski Paradox
25:13Thinking outside the 10-dimensional box
1:14:48The Future of Mathematics?
17:16Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra
14:27All the Numbers - Numberphile
8:23How Big is Graham's Number? (feat Ron Graham)
31:51Visualizing the 4d numbers Quaternions
48:55Pythagoras' theorem (a) | Math History | NJ Wildberger
51:16Why can't you multiply vectors?
34:25Ramanujan: Making sense of 1+2+3+... = -1/12 and Co.
19:12Taking Vector Transposes Seriously | Jiahao Chen | JuliaCon 2017
1:14:46Arithmetic, Population and Energy - a talk by Al Bartlett
15:08What does it feel like to invent math?
22:11But what is the Riemann zeta function? Visualizing analytic continuation
16:30Who cares about topology? (Old version)
5:56Special Topics - The Kalman Filter (1 of 55) What is a Kalman Filter?
22:21