Articles liés à Algebraic Number Theory
Synopsis
This book originates from graduate courses given in Cambridge and London. It provides a brisk, thorough treatment of the foundations of algebraic number theory, and builds on that to introduce more advanced ideas. Throughout, the authors emphasise the systematic development of techniques for the explicit calculation of the basic invariants, such as rings of integers, class groups, and units. Moreover they combine, at each stage of development, theory with explicit computations and applications, and provide motivation in terms of classical number-theoretic problems. A number of special topics are included that can be treated at this level but can usually only be found in research monographs or original papers, for instance: module theory of Dedekind domains; tame and wild ramifications; Gauss series and Gauss periods; binary quadratic forms; and Brauer relations. This is the only textbook at this level which combines clean, modern algebraic techniques together with a substantial arithmetic content. It will be indispensable for all practising and would-be algebraic number theorists.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
This book originates from graduate courses given in Cambridge and London. It provides a brisk, thorough treatment of the foundations of algebraic number theory, and builds on that to introduce more advanced ideas. Throughout, the authors emphasise the systematic development of techniques for the explicit calculation of the basic invariants, such as rings of integers, class groups, and units. Moreover they combine, at each stage of development, theory with explicit computations and applications, and provide motivation in terms of classical number-theoretic problems. A number of special topics are included that can be treated at this level but can usually only be found in research monographs or original papers, for instance: module theory of Dedekind domains; tame and wild ramifications; Gauss series and Gauss periods; binary quadratic forms; and Brauer relations. This is the only textbook at this level which combines clean, modern algebraic techniques together with a substantial arithmetic content. It will be indispensable for all practising and would-be algebraic number theorists.
Revue de presse
'It promises to become a classic.' Monatshefte für Mathematik
'... very nice and carefully written ... many excellent exercises...' European Mathematical Society Newsletter
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
Autres éditions populaires du même titre
Résultats de recherche pour Algebraic Number Theory
Image d'archives
Algebraic Number Theory
Edité par
Cambridge University Press, 1991
ISBN 10 : 052136664X
ISBN 13 : 9780521366649
Ancien ou d'occasion
Couverture rigide
Vendeur : Buchpark, Trebbin, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : Sehr gut. Zustand: Sehr gut | Seiten: 369 | Sprache: Englisch | Produktart: Sonstiges. N° de réf. du vendeur 25465273/202
Quantité disponible : 2 disponible(s)
Image d'archives
Algebraic Number Theory (Cambridge Studies in Advanced Mathematics, Series Number 27)
Edité par
Cambridge University Press, 1992
ISBN 10 : 052136664X
ISBN 13 : 9780521366649
Ancien ou d'occasion
Couverture rigide
Vendeur : Browsers' Bookstore, CBA, Albany, OR, Etats-Unis
Évaluation du vendeur 4 sur 5 étoiles
hardcover. Etat : Very Good. A nice copy. Clean text, solid binding. Some rubbing to exterior. N° de réf. du vendeur mon0000185031
Quantité disponible : 1 disponible(s)