Undergraduate Commutative Algebra by Miles Reid

Undergraduate Commutative Algebra by Miles Reid

In this well-written introduction to commutative algebra, the author shows the link between commutative ring theory and algebraic geometry. In addition to standard material, the book contrasts the methods and ideology of modern abstract algebra with concrete applications in algebraic geometry and number theory. Professor Reid begins with a discussion of modules and Noetherian rings before moving on to finite extensions and the Noether normalization. Sections on the nullstellensatz and rings of fractions precede sections on primary decomposition and normal integral domains. This book is ideal for anyone seeking a primer on commutative algebra.

'It gives a fresh picture of the subject for a new generation of students' P. Scnezel, Zentralblatt fur Mathematik
'The author takes care to explain the geometric and number theoretic meaning of the algebraic methods and results presented. This makes the book perhaps more demanding, but surely much more interesting than the standard ones.' European Mathematical Society Newsletter
'Besides the usual topics … there are some welcome geometrical illustrations, as well as some homespun philosophy.' Mathematica

SKU	Unavailable
ISBN 13	9780521458894
ISBN 10	0521458897
Title	Undergraduate Commutative Algebra
Author	Miles Reid
Series	London Mathematical Society Student Texts
Condition	Unavailable
Binding Type	Paperback
Publisher	Cambridge University Press
Year published	1995-11-30
Number of pages	168
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.