A Course In Algebraic Number Theory

✍ Scribed by Ash R.B.

• Year: 2003
• Tongue: English
• Leaves: 95
• Category: Library

✦ Synopsis

This is a text for a basic course in algebraic number theory.

✦ Table of Contents

Preface......Page 1
Table of Contents......Page 2
1 Introduction......Page 4
2 Norms Traces and Discriminants......Page 12
3 Dedekind Domains......Page 24
4 Factoring of Prime Ideals in Extensions......Page 33
5 The Ideal Class Groups......Page 42
6 The Dirichlet Unit Theorem......Page 49
7 Cyclotomic Extensions......Page 56
8 Factoring of Prime Ideals in Galois Extensions......Page 63
9 Local Fields......Page 71
Solutions......Page 82
Index......Page 93