Articles liés à Algebra: An Approach via Module Theory
Synopsis
This book is designed as a text for a first-year graduate algebra course. The choice of topics is guided by the underlying theme of modules as a basic unifying concept in mathematics. The book emphasizes proofs with a maximum of insight and a minimum of computation in order to promote understanding. However, extensive material on computation (for example, computation of canonical forms) is provided.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Présentation de l'éditeur
This book is designed as a text for a first-year graduate algebra course. The choice of topics is guided by the underlying theme of modules as a basic unifying concept in mathematics. Beginning with standard topics in groups and ring theory, the authors then develop basic module theory, culminating in the fundamental structure theorem for finitely generated modules over a principal ideal domain. They then treat canonical form theory in linear algebra as an application of this fundamental theorem. Module theory is also used in investigating bilinear, sesquilinear, and quadratic forms. The authors develop some multilinear algebra (Hom and tensor product) and the theory of semisimple rings and modules and apply these results in the final chapter to study group represetations by viewing a representation of a group G over a field F as an F(G)-module. The book emphasizes proofs with a maximum of insight and a minimum of computation in order to promote understanding. However, extensive material on computation (for example, computation of canonical forms) is provided.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurSpringer
- Date d'édition2012
- ISBN 10 1461269482
- ISBN 13 9781461269489
- ReliureBroché
- Langueanglais
- Nombre de pages544
- Coordonnées du fabricantnon disponible
Acheter neuf
Afficher cet article
EUR 60,06
EUR 9,70 expédition depuis Allemagne vers France
Destinations, frais et délaisAutres éditions populaires du même titre
Résultats de recherche pour Algebra: An Approach via Module Theory
Image d'archives
Algebra: An Approach via Module Theory (Graduate Texts in Mathematics)
Edité par
Springer, 2012
ISBN 10 : 1461269482
ISBN 13 : 9781461269489
Ancien ou d'occasion
paperback
Vendeur : Books From California, Simi Valley, CA, Etats-Unis
Évaluation du vendeur 4 sur 5 étoiles
paperback. Etat : Very Good. N° de réf. du vendeur mon0003745273
Quantité disponible : 1 disponible(s)
Image fournie par le vendeur
Algebra
Edité par
Springer New York, 2012
ISBN 10 : 1461269482
ISBN 13 : 9781461269489
Neuf
Couverture souple
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous . N° de réf. du vendeur 4189582
Quantité disponible : Plus de 20 disponibles
Image d'archives
Algebra: An Approach via Module Theory (Graduate Texts in Mathematics)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. In English. N° de réf. du vendeur ria9781461269489_new
Quantité disponible : Plus de 20 disponibles
Image d'archives
Algebra : An Approach via Module Theory
Vendeur : Chiron Media, Wallingford, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
PF. Etat : New. N° de réf. du vendeur 6666-IUK-9781461269489
Quantité disponible : 10 disponible(s)
Image fournie par le vendeur
Algebra
Edité par
Springer New York Sep 2012, 2012
ISBN 10 : 1461269482
ISBN 13 : 9781461269489
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). Perhaps the principal distinguishing feature of this book is its point of view. Many textbooks tend to be encyclopedic. We have tried to write one that is thematic, with a consistent point of view. The theme, as indicated by our title, is that of modules (though our intention has not been to write a textbook purely on module theory). We begin with some group and ring theory, to set the stage, and then, in the heart of the book, develop module theory. Having developed it, we present some of its applications: canonical forms for linear transformations, bilinear forms, and group representations. Why modules The answer is that they are a basic unifying concept in mathematics. The reader is probably already familiar with the basic role that vector spaces play in mathematics, and modules are a generaliza tion of vector spaces. (To be precise, modules are to rings as vector spaces are to fields. 544 pp. Englisch. N° de réf. du vendeur 9781461269489
Quantité disponible : 2 disponible(s)
Image fournie par le vendeur
Algebra
Edité par
Springer New York, Springer New York Sep 2012, 2012
ISBN 10 : 1461269482
ISBN 13 : 9781461269489
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Neuware -This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). Perhaps the principal distinguishing feature of this book is its point of view. Many textbooks tend to be encyclopedic. We have tried to write one that is thematic, with a consistent point of view. The theme, as indicated by our title, is that of modules (though our intention has not been to write a textbook purely on module theory). We begin with some group and ring theory, to set the stage, and then, in the heart of the book, develop module theory. Having developed it, we present some of its applications: canonical forms for linear transformations, bilinear forms, and group representations. Why modules The answer is that they are a basic unifying concept in mathematics. The reader is probably already familiar with the basic role that vector spaces play in mathematics, and modules are a generaliza tion of vector spaces. (To be precise, modules are to rings as vector spaces are to fields.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 544 pp. Englisch. N° de réf. du vendeur 9781461269489
Quantité disponible : 2 disponible(s)
Image fournie par le vendeur
Algebra : An Approach Via Module Theory
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. N° de réf. du vendeur 19199749-n
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
Algebra : An Approach via Module Theory
Edité par
Springer New York, Springer New York, 2012
ISBN 10 : 1461269482
ISBN 13 : 9781461269489
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). Perhaps the principal distinguishing feature of this book is its point of view. Many textbooks tend to be encyclopedic. We have tried to write one that is thematic, with a consistent point of view. The theme, as indicated by our title, is that of modules (though our intention has not been to write a textbook purely on module theory). We begin with some group and ring theory, to set the stage, and then, in the heart of the book, develop module theory. Having developed it, we present some of its applications: canonical forms for linear transformations, bilinear forms, and group representations. Why modules The answer is that they are a basic unifying concept in mathematics. The reader is probably already familiar with the basic role that vector spaces play in mathematics, and modules are a generaliza tion of vector spaces. (To be precise, modules are to rings as vector spaces are to fields. N° de réf. du vendeur 9781461269489
Quantité disponible : 1 disponible(s)
Image fournie par le vendeur
Algebra : An Approach Via Module Theory
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. N° de réf. du vendeur 19199749-n
Quantité disponible : 2 disponible(s)
Image d'archives
Algebra: An Approach via Module Theory
Edité par
Springer-Verlag New York Inc., 2012
ISBN 10 : 1461269482
ISBN 13 : 9781461269489
Neuf
Paperback / softback
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 855. N° de réf. du vendeur C9781461269489
Quantité disponible : Plus de 20 disponibles