A Course in Algebraic Number Theory - Couverture souple

Ash, Robert B

 
9780486477541: A Course in Algebraic Number Theory
Couverture souple
ISBN 10 : 0486477541 ISBN 13 : 9780486477541
Editeur : Dover Publications Inc., 2010

Synopsis

This graduate-level text provides coverage for a one-semester course in algebraic number theory. It explores the general theory of factorization of ideals in Dedekind domains as well as the number field case. Detailed calculations illustrate the use of Kummer's theorem on lifting of prime ideals in extension fields.
The author provides sufficient details for students to navigate the intricate proofs of the Dirichlet unit theorem and the Minkowski bounds on element and ideal norms. Additional topics include the factorization of prime ideals in Galois extensions and local as well as global fields, including the Artin-Whaples approximation theorem and Hensel's lemma. The text concludes with three helpful appendixes. Geared toward mathematics majors, this course requires a background in graduate-level algebra and a familiarity with integral extensions and localization.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Dover Publications Inc.
Date d'édition
2010
Langue
anglais
ISBN 10 
0486477541
ISBN 13 
9780486477541
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