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Elementary And Analytic Theory Of Algebraic Numbers 2004 Edition at Meripustak

Elementary And Analytic Theory Of Algebraic Numbers 2004 Edition

Books from same Author: Wladyslaw Narkiewicz

Books from same Publisher: Springer

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    • General Information  
    Author(s)Wladyslaw Narkiewicz
    PublisherSpringer
    ISBN9783540219026
    Pages712
    BindingHardback
    LanguageEnglish
    Publish YearNovember 2004

    Description

    Springer Elementary And Analytic Theory Of Algebraic Numbers 2004 Edition by Wladyslaw Narkiewicz

    This book details the classical part of the theory of algebraic number theory excluding class-field theory and its consequences. Coverage includes: 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. The book also features exercises and a list of open problems. Table of contents : 1. Dedekind Domains and Valuations.- 2. Algebraic Numbers and Integers.- 3. Units and Ideal Classes.- 4. Extensions.- 5. P-adic Fields.- 6. Applications of the Theory of P-adic Fields.- 7. Analytical Methods.- 8. Abelian Fields.- 9. Factorizations 9.1. 485Elementary Approach.- Appendix I. Locally Compact Abelian Groups.- Appendix II. Function Theory.- Appendix III. Baker's Method.- Problems.- References.- Author Index.- List of Symbols.