Algebraic Number Theory


pdf (current version 3.02)

This is a fairly standard graduate course on algebraic number theory.

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

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.
v3.01; September 28, 2008; fixed a problem with the hyperlinks; 163 pages.
v3.02; April 30, 2009; fixed many minor errors; changed chapter and pages styles; 164 pages.

Errata

pdf (old version 2.10)
pdf (old version 3.00)
pdf (old version 3.01)