A classical invitation to algebraic numbers and class fields

Includes index

Includes bibliography (p. 322-326) and references.

Introductory Remarks on Quadratic Forms :
Algebraic Background
Quadratic Euclidean Rings
Congruence Classes
Polynomial Rings
Dedekind Domains
Extensions of Dedekind Domains
Rational and Elliptic Functions

Ideal Structure in Number Fields :
Basis and Discriminant
Prime Factorization
Units
Geometry of Numbers
Finite Determination of Class Number

Introduction to Class Field Theory :
Quadratic Forms, Rings and Genera
Ray Class Structure and Fields, Hilbert Class Fields
Hilbert Sequences
Discriminant and Conductor
The Artin Isomorphism
The Zeta-Function