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OverviewThis 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 DetailsAuthor: David A. Cox , John Little , DONAL OSHEAPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: Softcover reprint of hardcover 3rd ed. 2007 Dimensions: Width: 15.50cm , Height: 2.90cm , Length: 23.40cm Weight: 0.866kg ISBN: 9781441922571ISBN 10: 1441922571 Pages: 553 Publication Date: 25 November 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Out of Print Availability: Out of print, replaced by POD  We will order this item for you from a manufatured on demand supplier. Table of ContentsGeometry, 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.ReviewsFrom 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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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