Current version (3.08)
pdf file for printing (11pt; a4paper; margins)
Same file with margins cropped --- may be better for viewing on gadgets.
pdf file formatted for ereaders (9pt; 89mm x 120mm; 5mm margins)(3.03)

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

Prerequisites

The algebra usually covered in a first-year graduate course, including Galois theory, group theory, and multilinear algebra. An undergraduate number theory course will also be helpful.

History

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.
v3.03; May 29, 2011; minor fixes; 167 pages.
v3.04; April 16, 2012; minor fixes; 160 pages.
v3.05; March, 21, 2013; minor fixes; 161 pages.
v3.06; May, 28, 2014; minor fixes; added Hermite's theorem; 164 pages.
v3.07; March 18, 2017; minor fixes; 165 pages.
v3.08; July 19, 2020; minor fixes; 166 pages.

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