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