Rings, Fields and Groups - 2nd Edition - ISBN: 9780340544402, 9780080928517

Rings, Fields and Groups

2nd Edition

Authors: Reg Allenby
Paperback ISBN: 9780340544402
eBook ISBN: 9780080928517
Imprint: Butterworth-Heinemann
Published Date: 15th August 1991
Page Count: 416
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Table of Contents

Preface; Elementary set theory and methods of proof; Numbers and polynomials; Binary relations an binary operations; Introduction to rings; Factor rings and fields; Basic group theory; Structure theorems of group theory; A brief excursion into Galois theory; Partial solutions; Bibliograpy; Notation; Index


'Rings, Fields and Groups' gives a stimulating and unusual introduction to the results, methods and ideas now commonly studied on abstract algebra courses at undergraduate level. The author provides a mixture of informal and formal material which help to stimulate the enthusiasm of the student, whilst still providing the essential theoretical concepts necessary for serious study.

Retaining the highly readable style of its predecessor, this second edition has also been thoroughly revised to include a new chapter on Galois theory plus hints and solutions to many of the 800 exercises featured.


Undergraduate students of pure mathematics.


No. of pages:
© Butterworth-Heinemann 1991
15th August 1991
Paperback ISBN:
eBook ISBN:


" ... here is no dry-as-dust textbook ... it will pay rich dividends to those who give time and effort to delve into its pages" Mathematical Spectrum

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About the Authors

Reg Allenby Author

Affiliations and Expertise

School of Mathematics, University of Leeds, UK