Ideals, Varieties, and Algorithms. An Introduction to Computational Algebraic Geometry and Commutative Algebra (Third Edition)

Cox, David A. / John Little / Donal O'Shea:

ISBN 10: 0387356509 / ISBN 13: 9780387356501

Published by New York/Berlin, Springer (Undergraduate Texts in Mathematics / UTM)), 2008

About this Item

Formateinband: Pappband / gebundene Ausgabe XV, 551 S. (24 cm) 3rd Edition (Corrected as of the 2nd printing); Guter und sauberer Zustand, wohl ungelesen. Sprache: Englisch Gewicht in Gramm: 1200 [Stichwörter: ]. Seller Inventory # 73101

Bibliographic Details

Title: Ideals, Varieties, and Algorithms. An ...

Publisher: New York/Berlin, Springer (Undergraduate Texts in Mathematics / UTM))

Publication Date: 2008

Binding: Hardcover

Condition: Gut

Edition: 3rd Edition

About this title

Synopsis:

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.

Review:

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)