【Abstract Algebra】- Socratica - 英文字幕
https://www.youtube.com/playlist?list=PLi01XoE8jYoi3SgnnGorR_XOW3IcK-TP6
【Abstract Algebra】- Socratica
搬运原地址：https://www.youtube.com/playlist?list=PLi01XoE8jYoi3SgnnGorR_XOW3IcK-TP6
视频选集
（1/29）
1.What is Abstract Algebra
03:27
2.The definition of a Group
03:14
3.Group Definition (expanded)
11:18
4.Abstract Algebra Motivation for the definition of a group
02:08
5.Group or Not Group
02:44
6.The definition of a Subgroup
01:45
7.The Order of an Element
03:03
8.Cosets and Lagrange Theorem The Size of Subgroups
09:21
9.Cyclic Groups
05:04
10.Group Multiplication Tables Cayley Tables
07:34
11.Symmetry Groups of Triangles
03:58
12.Cycle Notation of Permutations
12:39
13.Dihedral Group
04:19
14.Symmetric Group
05:32
15.Matrix Groups
04:17
16.Direct Products of Groups
08:56
17.Homomorphisms
04:12
18.Isomorphisms
05:05
19.The Kernel of a Group Homomorphism
04:53
20.The definition of a Ring
03:14
21.Ring Examples
07:19
22.Units in a Ring
07:14
23.Integral Domains
07:35
24. The definition of a Field
01:55
25.Field Definition (expanded)
08:06
26. Field Examples-Infinite Fields
05:37
27.What's a Vector Space
06:58
28.What is a Module
07:43
29.Simple Groups
08:53
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