Why You Can't Solve Quintic Equations - Galois Theory Approach

This course uses Galois theory to explain why general quintic equations cannot be solved by a formula. It presents the core argument through Galois groups, field extensions, and solvability while simplifying technical details for accessibility.

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?.