Applications of Computational Algebraic Geometry: American Mathematical Society Short Course January 6-7, 1997 San Diego, California (Proceedings of Symposia in Applied Mathematics) - Hardcover

Hardcover

ISBN 10: 0821807501 ISBN 13: 9780821807507

Publisher: Amer Mathematical Society, 1997

Synopsis

This book introduces readers to key ideas and applications of computational algebraic geometry. Beginning with the discovery of Gröbner 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 Gröbner 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.

About this title

About the Author

David A. Cox, Amherst College, MA

Edition details

• Publisher: Amer Mathematical Society
• Publication date: 1997
• ISBN 10: 0821807501
• ISBN 13: 9780821807507
• Binding: Hardcover
• Language: English
• Number of pages: 173
• Editor: Cox David A., Sturmfels Bernd, Manocha Dinesh N.