Undergraduate Algebraic Geometry / Edition 1

by Miles Reid

Overview

Algebraic geometry is, essentially, the study of the solution of equations and occupies a central position in pure mathematics. With the minimum of prerequisites, Dr. Reid introduces the reader to the basic concepts of algebraic geometry, including: plane conics, cubics and the group law, affine and projective varieties, and nonsingularity and dimension. He stresses the connections the subject has with commutative algebra as well as its relation to topology, differential geometry, and number theory. The book contains numerous examples and exercises illustrating the theory.

Product Details

ISBN-13:	9780521356626
Publisher:	Cambridge University Press
Publication date:	12/15/1988
Series:	London Mathematical Society Student Texts , #12
Edition description:	New Edition
Pages:	140
Product dimensions:	6.06(w) x 8.98(h) x 0.35(d)

Table of Contents

1. Playing with plane curves; 2. The category of affine varieties; 3. Applications; Index.

Editorial Reviews

"Before Reid's volume there was hardly anything to recommend at the undergraduate level...Reid's book is fun; it is filled with examples, applications, asides, gossip...What it does, it does well, and there is nothing comparable." Choice

"...at a level advanced undergraduates will understand and appreciate." Mathematics Magazine

"...the author leads the student on a lively, interesting, down-to-earth tour of the fundamental algebraic geometry...with some welcome, provocative comments..." American Mathematical Monthly

From the Publisher