An Introductory Course in Commutative Algebra by Chatters, A. W.

ISBN: 9780198501442

Oxford University Press, 16 July 1998

Paperback, 152 pages 

This book aims to be a concise introduction to topics in commutative algebra, with an emphasis on worked examples and applications. It combines elegant algebraic theory with applications to number theory, problems in classical Greek geometry, and the theory of finite fields which has important uses in other branches of science. Topics covered include rings and Euclidean rings, the four-squares theorem, fields and field extensions, finite cyclic groups and finite

fields. The material covered in this book prepares the way for the further study of abstract algebra, but it could also form the basis of an entire course.