Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Communicative Algebra

COX, David LITTLE, John O'SHEA, Donal

ISBN 10: 038797847X / ISBN 13: 9780387978475

Published by Springer, 1992

About this Item

513pp, octavo, tight binding, clean throughout, colorful boards with a thin 3" scratch to back cover, mild spine fade. Undergraduate Texts in Mathematics. Seller Inventory # 158995

Bibliographic Details

Title: Ideals, Varieties, and Algorithms: An ...

Publisher: Springer

Publication Date: 1992

Binding: Hardcover

Condition: Very Good

Edition: 1st edition.

About this title

Synopsis:

This book bases its discussion of algorithms on a generalization of the division algorithm for polynomials in one variable that was only discovered in the 1960s. Although the algorithmic roots of algebraic geometry are old, the computational aspects were neglected earlier in this century. This has changed in recent years and new algorithms, coupled with the power of fast computers, have led to some interesting applications, for example in robotics and in geometric theorem proving. This book is an introduction to algebraic geometry and commutative algebra aimed primarily at undergraduates. Emphasizing applications and the computational and algorithmic aspects of the subject, the text has less abstract flavour than standard treatments. With few prerequisites, it should also a useful introduction to the subject for computer scientists.

Review:

"I consider the book to be wonderful...The exposition is very clear, there are many helpful pictures, and there are a great many instructive exercises, some quite challenging...offers the heart and soul of modern commutative and algebraic geometry." -The American Mathematical Monthly