Elementary and Analytic Theory of Algebraic Numbers (3rd ed)

This book gives an exposition of the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences.

The following topics are treated: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems.

Each chapter ends with exercises and a short review of the relevant literature up to 2003.

The bibliography has over 3400 items.