Ideals, Varieties, and Algorithms
An Introduction to Computational Algebraic Geometry and Commutative Algebra
3rd Edition
Published on 25. November 2010
Book
Paperback/Softback
XV, 553 pages
978-1-4419-2257-1 (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
Product info
Previously published in hardcover
Series
Edition
Softcover reprint of hardcover 3rd ed. 2007
Language
English
Place of publication
NY
United States
Target group
Professional and scholarly
Lower undergraduate
Edition type
Revised edition
Illustrations
XV, 553 p.
Dimensions
Height: 23.4 cm
Width: 15.5 cm
Weight
866 gr
ISBN-13
978-1-4419-2257-1 (9781441922571)
DOI
10.1007/978-0-387-35651-8
Schweitzer Classification
Other editions
Additional editions
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
David A. Cox | John Little | DONAL OSHEA
Ideals, Varieties, and Algorithms
An Introduction to Computational Algebraic Geometry and Commutative Algebra
Book
01/2007
3rd Edition
Springer
€48.10
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.