Ian Stewart's Galois Theory has been in print for 30 years.
Resoundingly popular, it still serves its purpose exceedingly well.
Yet mathematics education has changed considerably since 1973, when
theory took precedence over examples, and the time has come to
bring this presentation in line with more modern approaches.
To this end, the story now begins with polynomials over the complex
numbers, and the central quest is to understand when such... more...