Prelude to Galois Theory Exploring Symmetric Polynomials
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=3imeTgGBaLc
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
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