Algebraic number fields (Record no. 5679)

010 ## - ISBN
ISBN 0821804294
qualificatif rel.
200 1# - titre
titre Algebraic number fields
Type document Livre
auteur Gerald J.Janusz
205 ## - mention d'édition
mention d'édition 2nd ed.
210 ## - éditeur
nom de l'editeur American Mathematical Society
date de publication 1996
lieu de publication Providence
101 ## - langue
langue du document Anglais
langue de l'oeuvre originale Anglais
215 ## - description
Nombre de pages 276 p.
225 1# - collection
titre de la collection Graduate studies in mathematics
numéro du volume 7
606 ## - sujets
sujet Corps de classe
606 ## - sujets
sujet Corps algébriques
606 ## - sujets
sujet Algèbre
330 ## - résumé
texte de la note The book is directed toward students with a minimal background who want to learn class field theory for number fields. The only prerequisite for reading it is some elementary Galois theory. The first three chapters lay out the necessary background in number fields, such the arithmetic of fields, Dedekind domains, and valuations. The next two chapters discuss class field theory for number fields. The concluding chapter serves as an illustration of the concepts introduced in previous chapters. In particular, some interesting calculations with quadratic fields show the use of the norm residue symbol. For the second edition the author added some new material, expanded many proofs, and corrected errors found in the first edition. The main objective, however, remains the same as it was for the first edition: to give an exposition of the introductory material and the main theorems about class fields of algebraic number fields that would require as little background preparation as possible. Janusz's book can be an excellent textbook for a year-long course in algebraic number theory; the first three chapters would be suitable for a one-semester course. It is also very suitable for independent study.
686 ## - Classification
Classification 512.2 Arithmétique, courbes algébriques
700 ## - auteur(s)
auteur Janusz
partie du nom autre que l'élément d';entrée Gerald J.
koha internal code 12342
001 - notice numéro
Numéro d'identification notice FRBNF375180020000004
100 ## - données générales de traitement
données générales de traitement 19970806d m y0frey5003 b
Propriétaire Dépositaire Localisation code barre cote Statut note
ENS Rennes - Bibliothèque ENS Rennes - Bibliothèque Mathématiques 00005698 512.2 JAN Empruntable 512.2 Arithmétique, courbes algébriques

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