A Course in Algebraic Number Theory
Read a fragment
Instant download
after payment (24/7)
Wide range of formats
(for all gadgets)
Full book
(including for Apple and Android)
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.
LF/799860/R
Data sheet
- Name of the Author
- Robert B. Ash
- Language
- English
- Series
- Dover Books on Mathematics
- ISBN
- 9780486477541
- Release date
- 2010
15 books by the same author:
Products from this category:
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...