Algebra

Name: Algebra
Brand: Springer, Berlin
SKU: 9781461269489
Price: 1566 CZK
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An Approach via Module Theory

Autor: William A. Adkins, Steven H. Weintraub

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer, Berlin

Dostupnost: Skladem u dodavatele

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This book is designed as a text for a first-year graduate algebra course. As necessary background we...

Informace o knize

Autor

William A. Adkins, Steven H. Weintraub

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2012

Stránek

526

EAN

9781461269489

ISBN

1461269482

Enbook ID

06795008

Vydavatel

Springer, Berlin

Hmotnost

825

Rozměry

156 x 27 x 237

Kompletní popis

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.

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Algebra

An Approach via Module Theory

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