A Course in Algebraic Number Theory Ash Robert B.Paperback
A Course in Algebraic Number Theory Ash Robert B.Paperback This graduate-level text provides coverage for a one-semester course in algebraic number theory. Detailed calculations illustrate the use of…
Specifikacia A Course in Algebraic Number Theory Ash Robert B.Paperback
A Course in Algebraic Number Theory Ash Robert B.Paperback
This graduate-level text provides coverage for a one-semester course in algebraic number theory. 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. It explores the general theory of factorization of ideals in Dedekind domains as well as the number field case.
The text concludes with three helpful appendixes. 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. Geared toward mathematics majors, this course requires a background in graduate-level algebra and a familiarity with integral extensions and