Algebraic Number Theory


pdf (current version 3.00)

v2.01; August 14, 1996; first version on the web; 144p.
v2.10; August 31, 1998; fixed many minor errors; added exercises and index; 140p.
v3.00; February 11, 2008; corrected; revisions and additions; 163 pages.

Contents

  1. Preliminaries From Commutative Algebra
  2. Rings of Integers
  3. Dedekind Domains; Factorization
  4. The Finiteness of the Class Number
  5. The Unit Theorem
  6. Cyclotomic Extensions; Fermat's Last Theorem
  7. Valuations; Local Fields
  8. Global Fields

Errata

pdf (old version 2.10)