Mon compte Ma liste - 0
	Catalogue   Ressources numériques   Nouveautés   Liens utiles   Mon compte

Recherche rapide Recherche avancée Recherche alphabétique Historique Information

Recherche  AuteurTitreSujetTitre de revueCollectionCotes BUCotes ENSEACotes IUFM       Modifier la recherche     > CERGY

Elargir la recherche         Sur le même sujet :     Galois, Théorie de     Galois theory     Parcourir le catalogue     par auteur:      Newman , Stephen C.       Rechercher sur Internet     Localiser dans une autre bibliothèque (SUDOC) (PPN ou ISBN ou ISSN)     Aperçu dans Google Books     Affichage MARC

Auteur :  Newman , Stephen C. Titre :  A classical introduction to Galois theory , Stephen C. Newman Editeur :  New York, NY, USA : John Wiley & Sons , 2012 ISBN:  978-1-118-33681-6 , Wiley online library Notes :  Titre provenant de la page de titre du document numérique Numérisation de l'édition de New York, NY, USA : John Wiley & Sons, 2012 La pagination de l'édition imprimée correspondante est de 296 p. "This book provides an introduction to Galois theory and focuses on one central theme - the solvability of polynomials by radicals. Both classical and modern approaches to the subject are described in turn in order to have the former (which is relatively concrete and computational) provide motivation for the latter (which can be quite abstract). The theme of the book is historically the reason that Galois theory was created, and it continues to provide a platform for exploring both classical and modern concepts. This book examines a number of problems arising in the area of classical mathematics, and a fundamental question to be considered is: For a given polynomial equation (over a given field), does a solution in terms of radicals exist? That the need to investigate the very existence of a solution is perhaps surprising and invites an overview of the history of mathematics. The classical material within the book includes theorems on polynomials, fields, and groups due to such luminaries as Gauss, Kronecker, Lagrange, Ruffini and, of course, Galois. These results figured prominently in earlier expositions of Galois theory, but seem to have gone out of fashion. This is unfortunate since, aside from being of intrinsic mathematical interest, such material provides powerful motivation for the more modern treatment of Galois theory presented later in the book. Over the course of the book, three versions of the Impossibility Theorem are presented: the first relies entirely on polynomials and fields, the second incorporates a limited amount of group theory, and the third takes full advantage of modern Galois theory. This progression through methods that involve more and more group theory characterizes the first part of the book. The latter part of the book is devoted to topics that illustrate the power of Galois theory as a computational tool, but once again in the context of solvability of polynomial equations by radicals"-- Fichier html ou PDF Navigateur internet, lecteur de fichier PDF URL:  (Accès réservé aux étudiants de l'ENSEA) https://univ.scholarvox.com.ez-proxy.ensea.fr/book/88813034 Sujet :  Galois, Théorie de Galois theory   Exemplaires Site Emplacement Cote Type de prêt Statut   Ensea Ressources numériques ENSEA-SCHOLARV Consultation en ligne Disponible

Pour toute question, contactez la bibliothèque

Horizon Information Portal 3.25_france_v1m© 2001-2019 SirsiDynix Tous droits réservés.