An introduction to abstract algebra /

This book gives a high level introduction to the main concepts of modern algebra. It contains numerous applications which illustrate algebras relevance today. There are also nearly 400 problems of varying degrees of difficulty, in order to test the reader's skill and progress

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Bibliographic Details
Main Authors: Robinson, Derek John Scott
Corporate Authors: De Gruyter.
Published: de Gruyter,
Publisher Address: Berlin :
Publication Dates: 2003
Literature type: eBook
Language: English
Series: De gruyter textbook
De gruyter textbook
Subjects:
28
Online Access: http://dx.doi.org/10.1515/9783110198164
http://www.degruyter.com/doc/cover/9783110198164.jpg
Summary: This book gives a high level introduction to the main concepts of modern algebra. It contains numerous applications which illustrate algebras relevance today. There are also nearly 400 problems of varying degrees of difficulty, in order to test the reader's skill and progress
Item Description: Includes bibliographical references and index
Carrier Form: 1 online resource(282pages).
ISBN: 9783110198164
Index Number: QA162
CLC: O153
Contents: Preface; Contents; Chapter 1Sets, relations and functions; Chapter 2The integers; Chapter 3Introduction to groups; Chapter 4Cosets, quotient groups and homomorphisms; Chapter 5Groups acting on sets; Chapter 6Introduction to rings; Chapter 7Division in rings; Chapter 8Vector spaces; Chapter 9The structure of groups; Chapter 10Introduction to the theory of fields; Chapter 11Galois theory; Chapter 12Further topics; Index of notation.