A short lecture explaining the fundamental theorem on symmetric polynomials and its relationship to Galois theory.
Reference book: Harold M Edwards - Galois Theory
Chapters:
00:00 Introduction
05:00 Definition 1 - Polynomial
07:36 Definition 2 - Symmetric Polynomial
08:28 Definition 3 - Elementary Symmetric Polynomials
10:01 Power Sum Theorem - Preamble
12:08 Power Sum Theorem - Proof
17:39 Fundamental Theorem on Symmetric Polynomials - Preamble
20:04 Fundamental Theorem on Symmetric Polynomials - Proof
28:00 Outlook to Galois Theory
30:32 Outro