Name: a course in algebraic number theory
Price: 38.56 NZD
Availability: InStock
Author: Ash, Robert B.
ISBN: 9780486477541

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portada a course in algebraic number theory

Type

Physical Book

Author

Robert B. Ash

Publisher

Dover Publications

Language

English

Pages

112

Format

Paperback

Dimensions

22.6 x 15.0 x 1.3 cm

Weight

0.16 kg.

ISBN

9780486477541

ISBN13

9780486477541

Synopsis "a course in algebraic number theory"

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.

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a course in algebraic number theory - Ash, Robert B.

Synopsis "a course in algebraic number theory"

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