Galois Theory

The historical sketches are nice (Stewart is, after all, more a mathematics populist than textbook writer now); but this (fourth) edition is long-winded, slow, and perhaps a little boring. Nice exercises, though.

Indeholder "Preface", "Notes to the Reader", "Historical introduction", "The life of Galois", "Glossary of symbols", "1. Background", "2. Factorization of polynomials", "3. Field extensions", "4. The degree of an extension", "5. Ruler and compasses", "6. Transcendental numbers", "7. The idea behind Galois Theory", "8. Normality and separability", "9. Field degrees and group orders", "10. Monomorphisms, automorphisms, and normal closures", "11. The Galois correspondence", "12. A specific example", "13. Some group theory", "14. Solutions of equations by radicals", "15. The general polynomial equation", "16. Finite fields", "17. Regular polygons", "18. The 'Fundamental Theorem of Algebra'", "19. Later developments", "Harder show more exercises".

Glimrende lærebog i Galois-teori. Der er dog en grund til at der er kommet nyere udgaver.
Jeg havde Galois-teori i ca 1982 som valgfrit tredjeårsmodul og brugte præcis denne udgave. show less