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Abstract Algebra: An Introduction to Groups, Rings and Fields Paperback - 2011
by Clive Reis
From the jacket flap
An entire chapter is devoted to studying the algebraic system of the integers mod n under the usual operations of addition and multiplication. The reader is thus introduced via congruence classes to the idea of cosets and factor groups. This enables the transition to cosets and factor objects in a more abstract setting to be relatively painless. The chapters dealing with applications help to reinforce the concepts and methods developed in the context of more down-to earth problems.
Most introductory texts in abstract algebra either avoid cosets, factor objects and homomorphisms completely or introduce them towards the end of the book. In this book, these topics are dealt with early on so that the reader has at his/her disposal the tools required to give elegant proofs of the fundamental theorems. Moreover, homomorphisms play such a prominent role in algebra that they are used in this text wherever possible, even if there are alternative methods of proof.
Details
- Title Abstract Algebra: An Introduction to Groups, Rings and Fields
- Author Clive Reis
- Binding Paperback
- Pages 508
- Volumes 1
- Language ENG
- Publisher World Scientific Publishing Company
- Date 2011-05-10
- Illustrated Yes
- Features Illustrated, Index, Table of Contents
- ISBN 9789814340281 / 9814340286
- Weight 1.6 lbs (0.73 kg)
- Dimensions 8.8 x 6.1 x 1 in (22.35 x 15.49 x 2.54 cm)
- Library of Congress Catalog Number 2011283718
- Dewey Decimal Code 512.02
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