Algebraic Theory Of Numbers - Couverture souple

Samuel, Pierre

Couverture souple

ISBN 10 : 0486466663 ISBN 13 : 9780486466668

Editeur : Dover Publications Inc., 2008

Synopsis

Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics -- algebraic geometry, in particular.
This book assumes a knowledge of basic algebra but supplements its teachings with brief, clear explanations of integrality, algebraic extensions of fields, Galois theory, Noetherian rings and modules, and rings of fractions. It covers the basics, starting with the divisibility theory in principal ideal domains and ending with the unit theorem, finiteness of the class number, and the more elementary theorems of Hilbert ramification theory. Numerous examples, applications, and exercises appear throughout the text.

Détails de l'édition

• Éditeur: Dover Publications Inc.
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 0486466663
• ISBN 13: 9780486466668
• Reliure: Broché
• Nombre de pages: 112
• Coordonnées du fabricant: non disponible
• Personne responsable: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italie