Power Search
Low Price Guarantee
We Take School POs
Algebras of Linear Transformations 2001 Edition
Contributor(s): Farenick, Douglas R. (Author)

View larger image

 ISBN: 0387950621     ISBN-13: 9780387950624
Publisher: Springer
OUR PRICE: $52.24  

Binding Type: Hardcover
Published: October 2000
Qty:

Annotation: This book studies algebras and linear transformations acting on finite -dimensional vector spaces over arbitrary fields. It is written for students who have prior knowledge of algebra and linear algebra. The goal is to present a balance of theory and example in order for students to gain a firm understanding of the basic theory of finite- dimensional algebras and to provide a foundation for subsequent advanced study in a number of areas of mathematics. As such, the level of exposition is suitable for senior undergraduate students.

Click for more in this series: Universitext
Additional Information
BISAC Categories:
- Mathematics | Group Theory
- Mathematics | Transformations
- Mathematics | Algebra - General
Dewey: 512.24
LCCN: 00044008
Series: Universitext
Physical Information: 0.68" H x 6.36" W x 9.57" L (1.10 lbs) 239 pages
Features: Bibliography, Illustrated, Index
Review Citations: Choice 06/01/2001 pg. 1826
 
Descriptions, Reviews, Etc.
Publisher Description:
The aim of this book is twofold: (i) to give an exposition of the basic theory of finite-dimensional algebras at a levelthat isappropriate for senior undergraduate and first-year graduate students, and (ii) to provide the mathematical foundation needed to prepare the reader for the advanced study of anyone of several fields of mathematics. The subject under study is by no means new-indeed it is classical- yet a book that offers a straightforward and concrete treatment of this theory seems justified for several reasons. First, algebras and linear trans- formations in one guise or another are standard features of various parts of modern mathematics. These include well-entrenched fields such as repre- sentation theory, as well as newer ones such as quantum groups. Second, a study ofthe elementary theory offinite-dimensional algebras is particularly useful in motivating and casting light upon more sophisticated topics such as module theory and operator algebras. Indeed, the reader who acquires a good understanding of the basic theory of algebras is wellpositioned to ap- preciate results in operator algebras, representation theory, and ring theory. In return for their efforts, readers are rewarded by the results themselves, several of which are fundamental theorems of striking elegance.
 
Customer ReviewsSubmit your own review
 
To tell a friend about this book, you must Sign In First!