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A Course in Algebraic Number Theory (Paperback)

Author: Ash, Robert B.

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Product Overview

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.

Specifications

Publisher Dover Pubns
Mfg Part# 9780486477541
SKU 213259916
Format Paperback
ISBN10 0486477541
Release Date 6/1/2010
Product Attributes
Book Format Paperback
Number of Pages 0112
Publisher Dover Publications
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