Computational methods in commutative algebra and algebraic geometry
By: Wolmer V. Vasconcelos ; with chapters by David Eisenbud ... [et al.].
Contributors: Eisenbud, David.
Series: Algorithms and computation in mathematics,; v. 2
Publisher: Springer
Published: 1998
Place of publication: Berlin; New York
Language: eng
Number of pages: 394
Subjects: Commutative algebra -- Data processing.; Geometry, Algebraic -- Data processing.
Description: This ACM volume in computational algebra deals with methods and techniques to tackle problems that can be represented by data structures which are essentially matrices with polynomial entries, mediated by the disciplines of commutative algebra and algebraic geometry. It relates discoveries by a growing, interdisciplinary, group of researchers in the past decade. It highlights the use of advanced techniques to bring down the cost of computation. The book includes concrete algorithms written in Macaulay 2. It is intended for advanced students and researchers with interests both in algebra and computation. Many parts of it can be read by anyone with a basic abstract algebra course.
Notes: Includes bibliographical references (p. [381]-389) and index.