Mathematics 129

Introduction to Algebraic Number Theory

By William Stein

Syllabus for Math 129


What you will learn about:

We will probably not have time to discuss Dirichlet L-functions or class field theory.


Prerequisites: At the beginning of the course I will quickly review the following topics, which I assume you have already seen:

If you haven't seen some of these topics, do not be scared off. It just means you should do some extra background reading and exercises in order to get up to speed. See me for advice about what to read. The material about finitely generated abelian groups is in appendix A.1 to Swinnerton-Dyer's book. Artin's Algebra is a good reference for everything, except elementary number theory, which you can read about in my book.