Elementary and Analytic Theory of Algebraic Numbers

Wladyslaw Narkiewicz

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English

Springer Verlag
01 April 2006

Mathematics & Sciences; Number theory

Series: Springer Monographs in Mathematics

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.

By: Wladyslaw Narkiewicz
Imprint: Springer Verlag
Country of Publication: Germany
Edition: 3rd Revised edition
Dimensions: Height: 229mm, Width: 152mm, Spine: 39mm
Weight: 2.620kg
ISBN: 9783540219026
ISBN 10: 3540219021
Series: Springer Monographs in Mathematics
Pages: 728
Publication Date: 01 April 2006
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Reviews for Elementary and Analytic Theory of Algebraic Numbers

Aus den Rezensionen zur 3. Auflage: Das vorliegende Buch ist die dritte Auflage des Standardwerks uber analytische Aspekte der algebraischen Zahlentheorie. ! das Buch ist durchgehend in LaTeX gesetzt, was die Lekture angenehmer gestaltet. ! Durch die Aktualisierung wird dieses Buch sicher fur die nachsten Jahre ein wichtiges Referenzwerk in diesem Gebiet bleiben. (P. Grabner, in: IMN - Internationale Mathematische Nachrichten, 2006, Issue 202, S. 41 f.)