Rings, Fields and Groups

By

  • Reg Allenby, School of Mathematics, University of Leeds, UK

'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.
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Audience

Undergraduate students of pure mathematics.

 

Book information

  • Published: August 1991
  • Imprint: BUTTERWORTH HEINEMANN
  • ISBN: 978-0-340-54440-2

Reviews

" ... 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



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