Reference book: Harold M. Edwards- Galois Theory
How to solve polynomial equations? We’d like a formula for zeroes/roots in terms of the coefficients a_i. quadratic formulas cubic formulas
[3:40] Galois considered fields extended by rational functions in the variable p, and that enabled him to make the correspondence between permutation groups and fields.
Why No Quintic Formula? - Intuitive Explanation Attempt…
- algebraic structures and complex analysis
- how to describe a normal subgroup
- Vieta’s formulas