David Sharpe

Rings and Factorization

• Broschiertes Buch

Produktbeschreibung

This textbook is an introduction to the concept of factorization and its application to problems in algebra and number theory. Dr Sharpe has included numerous examples which demonstrate how frequently these ideas are useful in concrete, rather than abstract, settings. The book also contains many exercises of varying degrees of difficulty together with hints and solutions.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 124
• Erscheinungstermin: 26. August 2008
• Englisch
• Abmessung: 216mm x 140mm x 7mm
• Gewicht: 176g
• ISBN-13: 9780521337182
• ISBN-10: 0521337186
• Artikelnr.: 25545834

Inhaltsangabe

Preface
Introduction
Part I: Rings
1. Introduction
2. Binary operations
3. Definition of a ring
4. Homomorphisms, subrings and isomorphisms
5. Integral domains
6. Fields
7. Residue-class rings
Part II: Factorization
8. Introduction
9. Unique factorization domains
10. Euclidean domains
11. Greatest common divisors
12. Prime elements
13. Euclidean domains are UFDs
14. The two-square theorem
15. Factorization of polynomials
16. An application of UFD's to determinantal identities
Postscript
Partial solutions to exercises
References
Index.