A Course in Algebraic Number Theory
Published on 27. August 2010
Book
Paperback/Softback
112 pages
978-0-486-47754-1 (ISBN)
Description
Graduate-level course covers the general theory of factorization of ideals in Dedekind domains, the use of Kummer's theorem, proofs of the Dirichlet unit theorem, and Minkowski bounds on element and ideal norms. 2003 edition.
More details
Series
Language
English
Place of publication
New York
United States
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 231 mm
Width: 154 mm
Thickness: 9 mm
Weight
166 gr
ISBN-13
978-0-486-47754-1 (9780486477541)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
1. Introduction
2. Norms, Traces and Discriminants
3. Dedekind Domains
4. Factorization of Prime Ideals in Extensions
5. The Ideal Class Group
6. The Dirichlet Unit Theorem
7. Cyclotomic Extensions
8. Factorization of Prime Ideals in Galois Extensions
9. Local Fields
Appendices
Solutions to Problems
Index