Module Name | Download |
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Sl.No | Chapter Name | MP4 Download |
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1 | Motivation and overview of the course | Download |
2 | Review of group theory | Download |
3 | Review of ring theory I | Download |
4 | Review of ring theory II | Download |
5 | Review of field theory I | Download |
6 | Review of field theory II | Download |
7 | Review of field theory III | Download |
8 | Problem Session 1 | Download |
9 | Problem Session 2 | Download |
10 | Beginning of Galois theory | Download |
11 | Fixed fields | Download |
12 | Theorem I on fixed fields | Download |
13 | Theorem II on fixed fields | Download |
14 | Galois extensions, Galois groups | Download |
15 | Normal extensions | Download |
16 | Problem Session - Part 3 | Download |
17 | Problem Session - Part 4 | Download |
18 | Separable extension - Part 1 | Download |
19 | Separable extension - Part 2 | Download |
20 | Characterization of Galois extensions - Part 1 | Download |
21 | Characterization of Galois extensions - Part 2 | Download |
22 | Examples of Galois extensions | Download |
23 | Motivating the main theorem of Galois theory | Download |
24 | Main theorem of Galois theory - Part 1 | Download |
25 | Main theorem of Galois theory - Part 2 | Download |
26 | Fundamental theorem of algebra | Download |
27 | Problem Session - Part 5 | Download |
28 | Problem Session - Part 6 | Download |
29 | Problem Session - Part 7 | Download |
30 | Problem Session - Part 8 | Download |
31 | Problem Session - Part 9 | Download |
32 | Kummer extensions - Part 1 | Download |
33 | Kummer extensions - Part 2 | Download |
34 | Kummer extensions - Part 3 | Download |
35 | Cyclotomic extensions - Part 1 | Download |
36 | Cyclotomic extensions - Part 2 | Download |
37 | Solvability by radicals | Download |
38 | Characterizations of solvability - Part 1 | Download |
39 | Characterizations of solvability - Part 2 | Download |
40 | Discriminants, Galois groups of polynomials | Download |
41 | Quartics are solvable | Download |
42 | Solvable groups - Part 1 | Download |
43 | Solvable groups - Part 2 | Download |
44 | Solvable groups - Part 3 | Download |
45 | Insolvability of quintics | Download |
46 | Problem Session - Part 10 | Download |
47 | Problem Session - Part 11 | Download |
48 | Problem Session - Part 12 | Download |
49 | Problem Session - Part 13 | Download |
Sl.No | Chapter Name | English |
---|---|---|
1 | Motivation and overview of the course | PDF unavailable |
2 | Review of group theory | PDF unavailable |
3 | Review of ring theory I | PDF unavailable |
4 | Review of ring theory II | PDF unavailable |
5 | Review of field theory I | PDF unavailable |
6 | Review of field theory II | PDF unavailable |
7 | Review of field theory III | PDF unavailable |
8 | Problem Session 1 | PDF unavailable |
9 | Problem Session 2 | PDF unavailable |
10 | Beginning of Galois theory | PDF unavailable |
11 | Fixed fields | PDF unavailable |
12 | Theorem I on fixed fields | PDF unavailable |
13 | Theorem II on fixed fields | PDF unavailable |
14 | Galois extensions, Galois groups | PDF unavailable |
15 | Normal extensions | PDF unavailable |
16 | Problem Session - Part 3 | PDF unavailable |
17 | Problem Session - Part 4 | PDF unavailable |
18 | Separable extension - Part 1 | PDF unavailable |
19 | Separable extension - Part 2 | PDF unavailable |
20 | Characterization of Galois extensions - Part 1 | PDF unavailable |
21 | Characterization of Galois extensions - Part 2 | PDF unavailable |
22 | Examples of Galois extensions | PDF unavailable |
23 | Motivating the main theorem of Galois theory | PDF unavailable |
24 | Main theorem of Galois theory - Part 1 | PDF unavailable |
25 | Main theorem of Galois theory - Part 2 | PDF unavailable |
26 | Fundamental theorem of algebra | PDF unavailable |
27 | Problem Session - Part 5 | PDF unavailable |
28 | Problem Session - Part 6 | PDF unavailable |
29 | Problem Session - Part 7 | PDF unavailable |
30 | Problem Session - Part 8 | PDF unavailable |
31 | Problem Session - Part 9 | PDF unavailable |
32 | Kummer extensions - Part 1 | PDF unavailable |
33 | Kummer extensions - Part 2 | PDF unavailable |
34 | Kummer extensions - Part 3 | PDF unavailable |
35 | Cyclotomic extensions - Part 1 | PDF unavailable |
36 | Cyclotomic extensions - Part 2 | PDF unavailable |
37 | Solvability by radicals | PDF unavailable |
38 | Characterizations of solvability - Part 1 | PDF unavailable |
39 | Characterizations of solvability - Part 2 | PDF unavailable |
40 | Discriminants, Galois groups of polynomials | PDF unavailable |
41 | Quartics are solvable | PDF unavailable |
42 | Solvable groups - Part 1 | PDF unavailable |
43 | Solvable groups - Part 2 | PDF unavailable |
44 | Solvable groups - Part 3 | PDF unavailable |
45 | Insolvability of quintics | PDF unavailable |
46 | Problem Session - Part 10 | PDF unavailable |
47 | Problem Session - Part 11 | PDF unavailable |
48 | Problem Session - Part 12 | PDF unavailable |
49 | Problem Session - Part 13 | PDF unavailable |
Sl.No | Language | Book link |
---|---|---|
1 | English | Not Available |
2 | Bengali | Not Available |
3 | Gujarati | Not Available |
4 | Hindi | Not Available |
5 | Kannada | Not Available |
6 | Malayalam | Not Available |
7 | Marathi | Not Available |
8 | Tamil | Not Available |
9 | Telugu | Not Available |