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A First Graduate Course in Abstract Algebra : Chapman & Hall/CRC Pure and Applied Mathematics - W. J. Wickless

A First Graduate Course in Abstract Algebra

Chapman & Hall/CRC Pure and Applied Mathematics

Hardcover

Published: 29th March 2004
Ships: 7 to 10 business days
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Since abstract algebra is so important to the study of advanced mathematics, it is critical that students have a firm grasp of its principles and underlying theories before moving on to further study. To accomplish this, they require a concise, accessible, user-friendly textbook that is both challenging and stimulating. A First Graduate Course in Abstract Algebra is just such a textbook.
Divided into two sections, this book covers both the standard topics (groups, modules, rings, and vector spaces) associated with abstract algebra and more advanced topics such as Galois fields, noncommutative rings, group extensions, and Abelian groups. The author includes review material where needed instead of in a single chapter, giving convenient access with minimal page turning. He also provides ample examples, exercises, and problem sets to reinforce the material. This book illustrates the theory of finitely generated modules over principal ideal domains, discusses tensor products, and demonstrates the development of determinants. It also covers Sylow theory and Jordan canonical form.
A First Graduate Course in Abstract Algebra is ideal for a two-semester course, providing enough examples, problems, and exercises for a deep understanding. Each of the final three chapters is logically independent and can be covered in any order, perfect for a customized syllabus.

"This is a very useful text on abstract algebra at the beginning graduate levelthe notions of tensor product and projectivity of modules is introduced early and serve in several places to simplify proofsnumerous worked out examples shed light on the abstract theory and help to understand what is going on." - Monatshefte f]r Mathematik

Preface
Groups (mostly finite)
Rings (mostly domains)
Modules
Vector spaces
Fields and Galois theory
Topics in noncommutative rings
Group extensions
Topics in Abelian groups
References
Index
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780824756277
ISBN-10: 0824756274
Series: Chapman & Hall/CRC Pure and Applied Mathematics
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 252
Published: 29th March 2004
Publisher: Taylor & Francis Inc
Country of Publication: US
Dimensions (cm): 22.9 x 15.2  x 1.7
Weight (kg): 0.4
Edition Number: 1