Ideals, Varieties, and Algorithms
An Introduction to Computational Algebraic Geometry and Commutative Algebra
Springer (Publisher)
199th Edition
Published in November 1992
Book
Hardback
XI, 513 pages
978-3-540-97847-3 (ISBN)
Article exhausted; check for reprint
Description
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.
More details
Series
Edition
199., Corr. 3rd printing
Language
English
Place of publication
Berlin
Germany
Target group
College/higher education
Illustrations
83 figs.
Dimensions
Height: 216 mm
Width: 138 mm
Weight
590 gr
ISBN-13
978-3-540-97847-3 (9783540978473)
Schweitzer Classification
Other editions
New editions

David A. Cox | John Little | Donal O'Shea
Ideals, Varieties, and Algorithms
An Introduction to Computational Algebraic Geometry and Commutative Algebra
Book
08/2025
5th Edition
Springer
€85.59
Shipment within 15-20 days

David Cox | John Little | DONAL OSHEA
Ideals, Varieties, and Algorithms
An Introduction to Computational Algebraic Geometry and Commutative Algebra
Book
02/2006
2nd Edition
Springer
€85.59
Article exhausted; check for reprint