This book introduces readers to key ideas and applications of computational algebraic geometry. Beginning with the discovery of Grobner bases and fueled by the advent of modern computers and the rediscovery of resultants, computational algebraic geometry has grown rapidly in importance. The fact that 'crunching equations' is now as easy as 'crunching numbers' has had a profound impact in recent years. At the same time, the mathematics used in computational algebraic geometry is unusually elegant and accessible, which makes the subject easy to learn and easy to apply. This book begins with an introduction to Grobner bases and resultants, then discusses some of the more recent methods for solving systems of polynomial equations. A sampler of possible applications follows, including computer-aided geometric design, complex information systems, integer programming, and algebraic coding theory. The lectures in the book assume no previous acquaintance with the material.

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Bibliographic Details

Title: Applications of Computational Algebraic Geometry
Publisher: American Mathematical Society, US
Publication Date: 1997
Language: English
ISBN 10: 0821807501
ISBN 13: 9780821807507
Binding: Hardback
Condition: New
Weight: 539 grams

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Synopsis

Contains papers from a January 1997 short course, introducing key ideas and applications of computational algebraic geometry. Begins with an introduction to Gr�bner bases and resultants, then discusses recent methods for solving systems of polynomial equations. A sampler of possible applications follows, including computer-aided geometric design, complex information systems, integer programming, and algebraic coding theory. For graduate students and research mathematicians interested in cumulative rings and algebras. Assumes no prior knowledge of this material. Annotation c. by Book News, Inc., Portland, Or.

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David A. Cox, Amherst College, MA

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