Algebra

Name: Algebra
Brand: Springer, Berlin
SKU: 9781461269489
Price: 72.3 EUR
Availability: InStock

An Approach via Module Theory

Автор: William A. Adkins, Steven H. Weintraub

Език:

Корици: С меки корици

Издател: Springer, Berlin

Наличност: Външен склад

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72.30 € 141.42 лв

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

Информация за книгата

Автор

William A. Adkins, Steven H. Weintraub

Език

Английски език

Корици

Книга - С меки корици

Издадена

2012

страници

526

EAN

9781461269489

ISBN

1461269482

Enbook ID

06795008

Издател

Springer, Berlin

Теглоt

825

Размери

156 x 27 x 237

Пълно описание

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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An Approach via Module Theory

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