A Course in Algebraic Number Theory - Dover Books on Mathematics - Robert B Ash - Kirjat - Dover Publications Inc. - 9780486477541 - torstai 17. kesäkuuta 2010
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A Course in Algebraic Number Theory - Dover Books on Mathematics

Robert B Ash

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A Course in Algebraic Number Theory - Dover Books on Mathematics

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.


112 pages, black & white illustrations

Media Kirjat     Paperback Book   (Kirja pehmeillä kansilla ja liimatulla selällä)
Julkaisupäivämäärä torstai 17. kesäkuuta 2010
ISBN13 9780486477541
Tuottaja Dover Publications Inc.
Sivujen määrä 112
Mitta 227 × 153 × 15 mm   ·   158 g
Kieli English  

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