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 ...
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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.Considerable emphasis is placed on the algebraic system consisting of congruence classes 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.
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Add this copy of Abstract Algebra: an Introduction to Groups, Rings and to cart. $3.76, good condition, Sold by Project HOME rated 4.0 out of 5 stars, ships from Philadelphia, PA, UNITED STATES.
Add this copy of Abstract Algebra: an Introduction to Groups, Rings and to cart. $4.00, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2011 by World Scientific Publishing Comp.
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Add this copy of Abstract Algebra: an Introduction to Groups, Rings and to cart. $5.00, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 2011 by World Scientific Publishing Comp.
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Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority!
Add this copy of Abstract Algebra: an Introduction to Groups, Rings and to cart. $10.00, very good condition, Sold by Book Bear rated 5.0 out of 5 stars, ships from West Brookfield, MA, UNITED STATES, published 2011 by World Scientific Publishing Company.
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Near Fine in Printed Boards jacket. 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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Add this copy of Abstract Algebra: an Introduction to Groups, Rings and to cart. $29.44, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2011 by World Scientific Publishing Co.
Add this copy of Abstract Algebra: an Introduction to Groups, Rings and to cart. $55.38, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2011 by Wspc.
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