Elementary and Analytic Theory of Algebraic Numbers - Couverture souple

Narkiewicz, Wladyslaw

9783642060106: Elementary and Analytic Theory of Algebraic Numbers

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ISBN 10 : 3642060102 ISBN 13 : 9783642060106

Editeur : Springer, 2010

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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.

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�diteurSpringer
Date d'�dition2010
ISBN 10 3642060102
ISBN 13 9783642060106
ReliureBroch�
Langueanglais
Num�ro d'�dition3
Nombre de pages728
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9783540219026: Elementary And Analytic Theory Of Algebraic Numbers

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Elementary and Analytic Theory of Algebraic Numbers

Wladyslaw Narkiewicz

Edit� par Springer Berlin Heidelberg, 2010

ISBN 10 : 3642060102 ISBN 13 : 9783642060106

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Brings the main principal results in the classical algebraic number theory, with the exception of class-field theory&nbspUp-to-date extensive bibliography containing 3400 itemsEach chapter ends with a selection of exercises, and a list of . N� de r�f. du vendeur 5045136

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Elementary and Analytic Theory of Algebraic Numbers

Wladyslaw Narkiewicz

Edit� par Springer Berlin Heidelberg Dez 2010, 2010

ISBN 10 : 3642060102 ISBN 13 : 9783642060106

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 728 pp. Englisch. N� de r�f. du vendeur 9783642060106

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Elementary and Analytic Theory of Algebraic Numbers (Springer Monographs in Mathematics)

Narkiewicz, Wladyslaw

Edit� par Springer, 2010

ISBN 10 : 3642060102 ISBN 13 : 9783642060106

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Etat : New. In. N� de r�f. du vendeur ria9783642060106_new

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Elementary and Analytic Theory of Algebraic Numbers

Wladyslaw Narkiewicz

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 2010, 2010

ISBN 10 : 3642060102 ISBN 13 : 9783642060106

Neuf Taschenbuch

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

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Taschenbuch. Etat : Neu. Neuware -The aim of this book is to present an exposition of the theory of alge braic numbers, excluding class-field theory and its consequences. There are many ways to develop this subject; the latest trend is to neglect the classical Dedekind theory of ideals in favour of local methods. However, for numeri cal computations, necessary for applications of algebraic numbers to other areas of number theory, the old approach seems more suitable, although its exposition is obviously longer. On the other hand the local approach is more powerful for analytical purposes, as demonstrated in Tate's thesis. Thus the author has tried to reconcile the two approaches, presenting a self-contained exposition of the classical standpoint in the first four chapters, and then turning to local methods. In the first chapter we present the necessary tools from the theory of Dedekind domains and valuation theory, including the structure of finitely generated modules over Dedekind domains. In Chapters 2, 3 and 4 the clas sical theory of algebraic numbers is developed. Chapter 5 contains the fun damental notions of the theory of p-adic fields, and Chapter 6 brings their applications to the study of algebraic number fields. We include here Shafare vich's proof of the Kronecker-Weber theorem, and also the main properties of adeles and ideles.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 728 pp. Englisch. N� de r�f. du vendeur 9783642060106

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Elementary and Analytic Theory of Algebraic Numbers

Wladyslaw Narkiewicz

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg, 2010

ISBN 10 : 3642060102 ISBN 13 : 9783642060106

Neuf Taschenbuch

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The aim of this book is to present an exposition of the theory of alge braic numbers, excluding class-field theory and its consequences. There are many ways to develop this subject; the latest trend is to neglect the classical Dedekind theory of ideals in favour of local methods. However, for numeri cal computations, necessary for applications of algebraic numbers to other areas of number theory, the old approach seems more suitable, although its exposition is obviously longer. On the other hand the local approach is more powerful for analytical purposes, as demonstrated in Tate's thesis. Thus the author has tried to reconcile the two approaches, presenting a self-contained exposition of the classical standpoint in the first four chapters, and then turning to local methods. In the first chapter we present the necessary tools from the theory of Dedekind domains and valuation theory, including the structure of finitely generated modules over Dedekind domains. In Chapters 2, 3 and 4 the clas sical theory of algebraic numbers is developed. Chapter 5 contains the fun damental notions of the theory of p-adic fields, and Chapter 6 brings their applications to the study of algebraic number fields. We include here Shafare vich's proof of the Kronecker-Weber theorem, and also the main properties of adeles and ideles. N� de r�f. du vendeur 9783642060106

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