Rings, Fields and Groups: Introduction to Abstract Algebra

by Reg Allenby

"'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."

Genres: Mathematics, Reference

416 pages, Paperback

First published August 15, 1991

Reviews

[Rachel Johnson · Rating 3 out of 5]

I'm finally done with this course! The book was fine. It is does seem a little unusual to take a 4 credit course on algebra and not even get to the definition of a group because we started with rings and fields.

[Sonny Burrell · Rating 5 out of 5]

Loved it. Old school maths book that forces the reader to think. This book helped me be a better mathematician.

[EJ Jackson · Rating 4 out of 5]

Bangs. Pretty readable.

[Clare · Rating 5 out of 5]

This book may have been superseded in the academic literature since I was an undergraduate mathematics student, but if it hasn't become obsolete in some way (unlikely, I think), I can recommend it as an outstanding first introduction to group theory. It's comprehensive and brilliantly written.