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.
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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.
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Algebra: An Approach via Module Theory (Graduate Texts in Mathematics, 136, Band 136)
Edité par
Springer, 1992
ISBN 10 : 0387978399
ISBN 13 : 9780387978390
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Couverture rigide
Vendeur : Studibuch, Stuttgart, Allemagne
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hardcover. Etat : Befriedigend. 536 Seiten; 9780387978390.4 Gewicht in Gramm: 4. N° de réf. du vendeur 882228
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Algebra: An Approach via Module Theory (Graduate Texts in Mathematics, 136)
Edité par
Springer, 1992
ISBN 10 : 0387978399
ISBN 13 : 9780387978390
Ancien ou d'occasion
Couverture rigide
Vendeur : Books From California, Simi Valley, CA, Etats-Unis
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Hardcover. Etat : Good. N° de réf. du vendeur mon0003776346
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Algebra: An Approach via Module Theory
Edité par
New York : Springer-Verlag, 1992
ISBN 10 : 0387978399
ISBN 13 : 9780387978390
Ancien ou d'occasion
Couverture rigide
Vendeur : Klondyke, Almere, Pays-Bas
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Etat : Good. Original boards, illustrated with numerous equations and diagrams, 8vo.Graduate Texts in Mathematics, 136.; Spine discoloured, name in pen on title page. N° de réf. du vendeur 343233-ZA30
Quantité disponible : 1 disponible(s)
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Algebra: An Approach via Module Theory (Graduate Texts in Mathematics, 136)
Edité par
Springer, 1992
ISBN 10 : 0387978399
ISBN 13 : 9780387978390
Ancien ou d'occasion
Couverture rigide
Vendeur : Books From California, Simi Valley, CA, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Hardcover. Etat : Very Good. N° de réf. du vendeur mon0003833316
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Algebra
Edité par
Springer New York, 1992
ISBN 10 : 0387978399
ISBN 13 : 9780387978390
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Gebunden. 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 5913117
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Algebra: An Approach via Module Theory (Graduate Texts in Mathematics, 136)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In English. N° de réf. du vendeur ria9780387978390_new
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Algebra
Edité par
Springer New York Sep 1992, 1992
ISBN 10 : 0387978399
ISBN 13 : 9780387978390
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. 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 9780387978390
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Algebra
Edité par
Springer New York, Springer New York Sep 1992, 1992
ISBN 10 : 0387978399
ISBN 13 : 9780387978390
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. 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 9780387978390
Quantité disponible : 2 disponible(s)
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Algebra : An Approach Via Module Theory
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Algebra: An Approach via Module Theory (Graduate Texts in Mathematics, 136)
Vendeur : California Books, Miami, FL, Etats-Unis
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Etat : New. N° de réf. du vendeur I-9780387978390
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