【抽象代数】Abstract Algebra (James Cook, 17 Fall)
https://www.youtube.com/playlist?list=PLBY4G2o7DhF2pIRNFMW4jIpd_Ek1N3Tt9
视频选集
（30/61）
01 - Course intro, sets, maps, equivalence relations - 8-28-17
42:40
02 - Extra help with sets, maps and equivalence - 8-29-17
56:36
03 - Integers and modular arithmetic - 8-30-17 (race day)
53:17
04 - Extra help with maps and modular arithmetic - 8-30-17
59:51
05 - Modular arithmetic, permutations, 9-1-17
53:45
06 - Monoids, associativity and inverse properties, 9-4-17 (party day)
55:43
07 - Extra help with permutations and map problem, 9-5-17
54:59
08 - Extra help with cayley tables, permutations - 9-7-17
54:35
09 - Groups, generators and relations, direct product, 9-8-17
51:29
10 - Subgroups, lattice diagrams, cyclic part 1, 9-11-17
53:46
11 - Subgroup examples, help with cyclics - 9-12-17
58:44
12 - Cyclic groups, 9-13-17
52:06
13 - Proofs about cyclic groups, hwk comments, 9-14-17
48:12
14 - Cyclic group end, isomorphism begin - 9-15-17
47:09
15 - Isomorphism theorems, automorphisms 9-20-17
51:49
16 - Help session, illustrating Cayley, forgot proofs, 9-21-17
56:10
17 - Preparing for Test 1, 9-2-17
50:48
18 - Cosets and Lagrange's Theorem, 9-27-17
50:39
19 - Post-mortem for Test 1, 9-28-17
42:48
20 - Applications of Lagrange's Theorem, 9-29-17
50:06
21 - Normal subgroups, 10-2-17
51:04
22 - Normal subgroup proofs, normal subgroups Dn, 10-3-27
52:17
23 - The factor group construction (aka quotient group), 10-4-17
51:22
24 - 1st Isomorphism Theorem, 10-9-17
51:37
25 - Help session on order of elements in factor groups 10-10-17
51:49
26 - Isomorphism theorems, product theorems, 10-11-17
52:01
27 - help session, silent movie time oh noes, 10-12-17
37:13
28 - Cauchy's Theorem and Class Equation, 10-13-17
51:14
29 - Group actions part 1, 10-16-17
50:32
30 - Symmetry vs. motion, problem on normalizers, 10-17-17
50:55
31 - Sylow Theorems, 10-18-17
49:48
32 - Help session, isomorphism, comment on core, 10-19-17
46:34
33 - Groups of units and RSA badly explained, 10-20-17
49:20
34 - Rings defined and basic examples, properties, 10-23-17
51:14
35 - Help session, fixer and Sylow examples, 10-24-17
51:06
36 - Subrings and algebra isomorphisms, 10-25-17
49:57
37 - Help session, solution to Missions discuss, 10-26-17
52:42
38 - Ring theorems, field of quotients, 10-27-17
52:01
39 - Review for Test 2, 10-30-17
35:41
40 - Help session, 10-31-17
39:45
41 - Help session, group mystery project, ring endomorphisms 11-2-17
43:11
42 - Factor rings, 11-3-17
50:50
43 - Prime and maximal ideals, simple rings, 11-6-17
53:16
44 - Ideal of matrix ring, 11-8-17
50:14
45 - Almost helpful session, 11-9-17
48:03
46 - Ring homomorphisms, 11-10-17
52:26
47 - Decomposing rings, polynomial foundations, 11-13-17
50:47
48 - Help session, post mortem of Test 2, 11-14-17
54:17
49 - Comments on Nicholson 4.1 (polynomials) , 11-15-17
18:51
50 - Irreducibility up to Eisenstein, 11-15-17
51:46
51 - Help session, polynomials and irreducibility, 11-16-17
52:06
52 - Associates, irreducibles, primes 11-17-17
52:53
53 - Irreducible polynomial generates maximal ideal, 11-27-17
52:14
54 - Help session rings, factor rings, select hwks, 11-28-17
35:48
55 - ED implies PID implies UFD, some number theory, 11-29-17
51:13
56 - Help session, rings, big classification picture, 11-30-17
53:27
57 - Quaternions and 4 square identity, Kronecker Thm, 12-1-17
50:29
58 - Review for Test 3, 12-4-17
47:33
59 - Questions for Test 3, 12-5-17, part 1
59:51
60 - Questions for Test 3, 12-5-17, part 2
02:31
61 - Representations of groups, quarks, Test 3 p.m. 12-11-17
48:03
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