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Elementary and analytic theory of algebraic numbers / Władysław Narkiewicz

Von: Resource type: Ressourcentyp: BuchBuchSprache: Englisch Reihen: Springer monographs in mathematicsVerlag: Berlin ; Heidelberg [u.a.] : Springer, 2004Auflage: 3rd edBeschreibung: X, 708 S. ; 24 cmISBN:
  • 3540219021
Schlagwörter: Genre/Form: DDC-Klassifikation:
  • 512.7/4 22
  • 512.74
  • 510
MSC: MSC: *11Rxx | 11-01 | 11-02RVK: RVK: SK 180LOC-Klassifikation:
  • QA247
Zusammenfassung: 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 over3400 items. TOC:Dedekind Domains and Valuations.- Algebraic Numbers and Integers.- Units and Ideal Classes.- Extensions.- P-adic Fields.- Applications of the Theory of p-adic Fields.- Analytical Methods.- Abelian Fields.- FactorizationsPPN: PPN: 387634711
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