This course aims to explain why quintic equations are unsolvable using Galois theory. The learning outcomes include understanding the Abel-Ruffini theorem, Galois groups, cyclotomic and Kummer extensions, and the tower of extensions. The course teaches how to approach solving equations and provides intuition on the topic. The intended audience for this course is individuals interested in algebra, regardless of their background, as the content is simplified for easy understanding.
Overview
Syllabus
, I forgot to put ellipsis in between. .
Introduction.
Chapter 1: The setup.
Chapter 2: Galois group.
Chapter 3: Cyclotomic and Kummer extensions.
Chapter 4: Tower of extensions.
Chapter 5: Back to solving equations.
Chapter 6: The final stretch (intuition).
Chapter 7: What have we done?.
Taught by
Mathemaniac
