Algebra

Algebra

EnglishPaperback / softbackPrint on demand
Adkins William A.
Springer-Verlag New York Inc.
EAN: 9781461269489
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Detailed information

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.
EAN 9781461269489
ISBN 1461269482
Binding Paperback / softback
Publisher Springer-Verlag New York Inc.
Publication date September 29, 2012
Pages 526
Language English
Dimensions 235 x 155
Country United States
Readership Professional & Scholarly
Authors Adkins William A.; Weintraub Steven H.
Illustrations X, 526 p.
Edition Softcover reprint of the original 1st ed. 1992
Series Graduate Texts in Mathematics
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