Overview
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.
Full Product Details
Author: David A. Cox ,
John Little ,
Donal O'Shea
Publisher: Springer-Verlag New York Inc.
Imprint: Springer-Verlag New York Inc.
Edition: 3rd ed. 2007. Corr. 3rd printing 2012
Dimensions:
Width: 15.60cm
, Height: 3.10cm
, Length: 23.40cm
Weight: 0.973kg
ISBN: 9780387356501
ISBN 10: 0387356509
Pages: 553
Publication Date: 01 January 2007
Audience:
Adult education
,
Further / Higher Education
Format: Hardback
Publisher's Status: Out of Print
Availability: In Print
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.
Reviews
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)
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)
From the reviews of the third edition: <p> The book gives an introduction to Buchbergera (TM)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. a ] The book is well-written. a ] 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)
