ABSTRACT ALGEBRA: AN INTRODUCTION TO GROUPS, RINGS AND FIELDS (Paperback)

Idioma: inglés

Editorial: World Scientific Publishing Co Pte Ltd, Singapore, 2011

9814340286 / 9789814340281

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Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

N° de ref. del artículo 9789814340281

Título
ABSTRACT ALGEBRA: AN INTRODUCTION TO GROUPS, RINGS AND FIELDS (Paperback)
Autor
Clive Reis
Editorial
World Scientific Publishing Co Pte Ltd, Singapore
Año de publicación
2011
Estado
new
Encuadernación
Paperback
Idioma
inglés
ISBN 10
9814340286
ISBN 13
9789814340281

Grand Eagle Retail

Bensenville, IL, Estados Unidos de America

Vendedor de 5 estrellas

Vendedor de IberLibro desde 12 de octubre de 2005

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