| A Course in Algebraic Number Theory Contributor(s): Ash, Robert B. (Author) |
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ISBN: 0486477541 ISBN-13: 9780486477541 Publisher: Dover Publications
WE WILL NOT BE UNDERSOLD! Click here for our low price guarantee Binding Type: Paperback Published: June 2010 Click for more in this series: Dover Books on Mathematics |
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| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Mathematics | Algebra - General |
| Dewey: 512.74 |
| LCCN: 2010283195 |
| Series: Dover Books on Mathematics |
| Physical Information: 0.5" H x 5.9" W x 8.9" L (0.35 lbs) 128 pages |
| Features: Index, Table of Contents |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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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