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A Guide to Groups, Rings, and Fields
Contributor(s): Gouvêa, Fernando Q. (Author)

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ISBN: 0883853558     ISBN-13: 9780883853559
Publisher: Mathematical Association of America (MAA)
OUR PRICE: $48.45  

Binding Type: Hardcover - See All Available Formats & Editions
Published: March 2013
* Out of Print *

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Additional Information
BISAC Categories:
- Mathematics | Algebra - General
Dewey: 512
LCCN: 2012950687
Series: Dolciani Mathematical Expositions
Physical Information: 0.92" H x 6.14" W x 9.26" L (1.24 lbs) 326 pages
Features: Bibliography, Illustrated, Index, Price on Product
Review Citations: Choice 07/01/2013
 
Descriptions, Reviews, Etc.
Publisher Description:
Algebraic structures have come to be ubiquitous in mathematics, with almost all mathematicians encountering groups, rings, fields or more exotic related objects during the course of their research. This book presents an overview of some of the most important algebraic structures in modern mathematics, with an emphasis on creating a coherent picture of how they all interact. In addition to the standard material on groups, rings, modules, fields, and Galois theory, the book includes discussions of other important topics, including linear groups, group representations, Artinian rings, projective, injective and flat modules, Dedekind domains, and central simple algebras. All of the important theorems are discussed, typically without proofs, but often with a discussion of the intuitive ideas behind those proofs. This insightful guide is ideal for both graduate students in mathematics who are beginning their studies, and researchers who wish to understand the bigger picture of the algebraic structures they encounter.

Contributor Bio(s): Gouvea, Fernando Q.: - Fernando Q. Gouvèa is the Carter Professor of Mathematics at Colby College, Maine. He was editor of MAA Focus, the newsletter of the Mathematical Association of America, from 1999 to 2010 and is currently editor of MAA Reviews and the Carus Mathematical Monographs book series. He has written several books, including Math Through the Ages, with William P. Berlinghoff, which was awarded the 2007 Beckenbach Book Prize.
 
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