Ideals, Varieties, and Algorithms
An Introduction to Computational Algebraic Geometry and Commutative Algebra
3rd Edition
Published on 1. January 2007
Book
Hardback
XV, 553 pages
978-0-387-35650-1 (ISBN)
Description
This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and correctness, this third edition of Ideals, Varieties and Algorithms includes: a significantly updated section on Maple; updated information on AXIOM, CoCoA, Macaulay 2, Magma, Mathematica and SINGULAR; and presents a shorter proof of the Extension Theorem.
Reviews / Votes
From the reviews of the third edition: "The book gives an introduction to Buchberger's algorithm with applications to syzygies, Hilbert polynomials, primary decompositions. There is an introduction to classical algebraic geometry with applications to the ideal membership problem, solving polynomial equations, and elimination theory. ... The book is well-written. ... The reviewer is sure that it will be a excellent guide to introduce further undergraduates in the algorithmic aspect of commutative algebra and algebraic geometry." (Peter Schenzel, Zentralblatt MATH, Vol. 1118 (20), 2007)More details
Series
Edition
3rd ed. 2007. Corr. 3rd printing 2012
Language
English
Place of publication
NY
United States
Target group
Adult education
Lower undergraduate
Edition type
Revised edition
Product notice
Laminated cover
Illustrations
biography
Dimensions
Height: 0 mm
Width: 0 mm
Thickness: 31 mm
Weight
2140 gr
ISBN-13
978-0-387-35650-1 (9780387356501)
DOI
10.1007/978-0-387-35651-8
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 A. Cox | John Little | Donal O'Shea
Ideals, Varieties, and Algorithms
An Introduction to Computational Algebraic Geometry and Commutative Algebra
Book
05/2015
4th Edition
Springer
€48.14
Article exhausted; check for reprint
Additional editions
David A. Cox | John Little | DONAL OSHEA
Ideals, Varieties, and Algorithms
An Introduction to Computational Algebraic Geometry and Commutative Algebra
Book
11/2010
3rd Edition
Springer
€48.10
Article exhausted; check different version
David A. Cox | John Little | DONAL OSHEA
Ideals, Varieties, and Algorithms
An Introduction to Computational Algebraic Geometry and Commutative Algebra
E-Book
08/2007
3rd Edition
Springer
€46.99
Available for download
Previous edition
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
Content
Geometry, Algebra, and Algorithms.- Groebner Bases.- Elimination Theory.- The Algebra-Geometry Dictionary.- Polynomial and Rational Functions on a Variety.- Robotics and Automatic Geometric Theorem Proving.- Invariant Theory of Finite Groups.- Projective Algebraic Geometry.- The Dimension of a Variety.