A Course in Galois Theory - Rilegato

Garling, D. J. H.

Rilegato

ISBN 10: 0521320771 ISBN 13: 9780521320771

Casa editrice: Cambridge University Press, 1987

Riassunto

This textbook, based on lectures given over a period of years at Cambridge, is a detailed and thorough introduction to Galois theory.

Su questo libro

Recensione

"This is a marvellous little book. It is characterized by good mathematical taste, plain and elegant language, and an earthy but precise style." Carl Riehm, Mathematical Reviews

Contenuti

Preface; Part I. Algebraic Preliminaries: 1. Groups, fields and vector spaces; 2. The axiom of choice, and Zorn's lemma; 3. Rings; Part II. The Theory of Fields, and Galois Theory: 4. Field extensions; 5. Tests for irreducibility; 6. Ruler-and-compass constructions; 7. Splitting fields; 8. The algebraic closure of a field; 9. Normal extensions; 10. Separability; 11. Automorphisms and fixed fields; 12. Finite fields; 13. The theorem of the primative element; 14. Cubics and quartics; 15. Roots of unity; 16. Cyclic extensions; 17. Solution by radicals; 18. Transcendental elements and algebraic independence; 19. Some further topics; 20. The calculation of Galois groups; Index.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1987
• Lingua: Inglese
• ISBN 10: 0521320771
• ISBN 13: 9780521320771
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 178
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia