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Abstract Algebra: An Introduction to Groups, Rings and Fields
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Abstract Algebra: An Introduction to Groups, Rings and Fields Hardcover - 2011

by Clive Reis


From the jacket flap

This book is appropriate for second to fourth year undergraduates. In addition to the material traditionally taught at this level, the book contains several applications: Polya Burnside Enumeration, Mutually Orthogonal Latin Squares, Error-Correcting Codes and a classification of the finite groups of isometries of the plane and the finite rotation groups in Euclidean 3-space. It is hoped that these applications will help the reader achieve a better grasp of the rather abstract ideas presented and convince him/her that pure mathematics, in addition to having an austere beauty of its own, can be applied to solving practical problems.

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 Hardcover
  • Pages 508
  • Volumes 1
  • Language ENG
  • Publisher World Scientific Publishing Company
  • Date 2011-05-10
  • Illustrated Yes
  • Features Illustrated, Index, Table of Contents
  • ISBN 9789814335645 / 9814335649
  • Weight 1.3 lbs (0.59 kg)
  • Dimensions 9.2 x 6.2 x 0.9 in (23.37 x 15.75 x 2.29 cm)
  • Library of Congress Catalog Number 2011283718
  • Dewey Decimal Code 512.02
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Abstract Algebra: An Introduction to Groups, Rings and Fields
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Abstract Algebra: An Introduction to Groups, Rings and Fields

by Reis, Clive

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Singapore: World Scientific Publishing Company, 2011. 1st Edition . Hardcover. Near Fine/Printed Boards. 8vo - over 7¾" - 9¾" tall. 491 pp. Tightly bound. Corners not bumped. Text is free of markings. No ownership markings. Published without dust jacket. Published 2011. This copy is smyth sewn. Smyth sewing is a method of book binding where groups of folded pages (referred to as signatures) are stitched together using binder thread. Each folded signature is sewn together individually with multiple stitches and then joined with other signatures to create the complete book block. This is the traditional and best method of bookbinding.
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Abstract Algebra: An Introduction to Groups, Rings and Fields
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Abstract Algebra: An Introduction to Groups, Rings and Fields

by Clive Reis

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Abstract Algebra: An Introduction to Groups, Rings and Fields

Abstract Algebra: An Introduction to Groups, Rings and Fields

by Reis, Clive

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Abstract Algebra: An Introduction to Groups, Rings and Fields
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Abstract Algebra: An Introduction to Groups, Rings and Fields

by Clive Reis

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Abstract Algebra: An Introduction To Groups, Rings And Fields

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Hardback. New. Suitable for second to fourth year undergraduates, this title contains several applications: Polya-Burnside Enumeration, Mutually Orthogonal Latin Squares, Error-Correcting Codes and a classification of the finite groups of isometries of the plane and the finite rotation groups in Euclidean 3-space.
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Abstract Algebra: An Introduction to Groups, Rings and Fields
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Abstract Algebra: An Introduction to Groups, Rings and Fields

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