Table of Contents:
1. Introduction2. Norms, Traces and Discriminants3. Dedekind Domains4. Factorization of Prime Ideals in Extensions5. The Ideal Class Group6. The Dirichlet Unit Theorem7. Cyclotomic Extensions8. Factorization of Prime Ideals in Galois Extensions9. Local FieldsAppendicesSolutions to ProblemsIndex

Publisher Marketing:
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.