Algebra: an approach via module theory / William A. Adkins, Steven H. Weintraub

Auteur: Adkins, William A. - AuteurCo-auteur: Weintraub, Steven H. (1951-) - AuteurType de document: MonographieCollection: Graduate texts in mathematics ; 136Langue: anglaisPays: Etats UnisÉditeur: New York : Springer, 1992Description: 1 vol. (X-526 p.) : appendix ; 24 cm ISBN: 9780387978390 ; rel. Note: From the preface: “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.” The book is very carefully written. All new concepts are illustrated by many examples. Any chapter ends with exercises (totally more than 400). The book will be of use for any person studying the first year graduate algebra course. (Zentralblatt)Bibliographie: Bibliogr. p. [510]. Index. Sujets MSC: 00A05 General -- General and miscellaneous specific topics -- General mathematics
12-01 Field theory and polynomials -- Instructional exposition (textbooks, tutorial papers, etc.)
13-01 Commutative algebra -- Instructional exposition (textbooks, tutorial papers, etc.)
15-01 Linear and multilinear algebra; matrix theory -- Instructional exposition (textbooks, tutorial papers, etc.)
En-ligne: Springerlink | Zentralblatt | MathSciNet
Location Call Number Status Date Due
Salle E 10741-01 / Manuels ADK (Browse Shelf) Available

From the preface: “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.” The book is very carefully written. All new concepts are illustrated by many examples. Any chapter ends with exercises (totally more than 400). The book will be of use for any person studying the first year graduate algebra course. (Zentralblatt)

Bibliogr. p. [510]. Index

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