Tous nos rayons

Déjà client ? Identifiez-vous

Mot de passe oublié ?

Nouveau client ?

CRÉER VOTRE COMPTE
(Mostly) Commutative Algebra
Ajouter à une liste

Librairie Eyrolles - Paris 5e
Disponible en magasin

(Mostly) Commutative Algebra

(Mostly) Commutative Algebra

Antoine Chambert-Loir - Collection Yellow Sale 2024

466 pages, parution le 31/03/2021

Résumé

The topics introduced include arithmetic of rings, modules, especially principal ideal rings and the classification of modules over such rings, Galois theory, as well as an introduction to more advanced topics such as homological algebra, tensor products, and algebraic concepts involved in algebraic geometry.

This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At that level, students have already followed a basic course in linear algebra and are essentially fluent with the language of vector spaces over fields. The topics introduced include arithmetic of rings, modules, especially principal ideal rings and the classification of modules over such rings, Galois theory, as well as an introduction to more advanced topics such as homological algebra, tensor products, and algebraic concepts involved in algebraic geometry.

More than 300 exercises will allow the reader to deepen his understanding of the subject.

The book also includes 11 historical vignettes about mathematicians who contributed to commutative algebra.


Preface.- 1 Rings.- 2 Ideals and divisibility.- 3 Modules.- 4 Field extensions.- 5 Modules over principal ideal rings.- 6 Noetherian and artinian rings. Primary decomposition.- 7 First steps in homological algebra.- 8 Tensor products and determinants.- 9 Commutative algebra: the normalization theorem, dimension theory, Dedekind rings.- Appendix.- References.- Index.-


Antoine Chambert-Loir (1971- ) is Professor of Mathematics at Universite de Paris. He previously taught at the Ecole normale superieure, University Pierre-et-Marie-Curie, Ecole polytechnique, University of Rennes and Universite Paris-Sud. Besides coauthoring a 3-volume book of exercises in analysis, his books include A Field Guide to Algebra and, as co-author, the prize-winning Motivic Integration.

His current research is in arithmetic geometry.


Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Antoine Chambert-Loir
Collection Yellow Sale 2024
Parution 31/03/2021
Nb. de pages 466
EAN13 9783030615949

Avantages Eyrolles.com

Livraison à partir de 0,01 en France métropolitaine
Paiement en ligne SÉCURISÉ
Livraison dans le monde
Retour sous 15 jours
+ d'un million et demi de livres disponibles
satisfait ou remboursé
Satisfait ou remboursé
Paiement sécurisé
modes de paiement
Paiement à l'expédition
partout dans le monde
Livraison partout dans le monde
Service clients sav@commande.eyrolles.com
librairie française
Librairie française depuis 1925
Recevez nos newsletters
Vous serez régulièrement informé(e) de toutes nos actualités.
Inscription