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Applications of computational algebraic geometry : American Mathematical Society, Short Course, January 6-7, 1997, San Diego, California / David A. Cox and Bernd Sturmfels, editors ; Dinesh Manocha [and five others].
- Format:
- Book
- Author/Creator:
- Manocha, Dinesh, author.
- Series:
- Proceedings of symposia in applied mathematics. AMS short course lecture notes ; Volume 53.
- Proceedings of Symposia in Applied Mathematics : AMS Short Course Lecture Notes ; Volume 53
- Language:
- English
- Subjects (All):
- Geometry, Algebraic--Data processing--Congresses.
- Geometry, Algebraic.
- Physical Description:
- 1 online resource (186 p.)
- Other Title:
- Computational algebraic geometry
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 1998.
- Language Note:
- English
- Summary:
- 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 this book assume no previous acquaintance with the material.
- Notes:
- "Lecture notes prepared for the American Mathematical Society Short Course, Applications of Computational Algebraic Geometry, held in San Diego, California, January 6-7, 1997"--T.p. verso.
- Includes bibliographical references at the end of each chapters and index.
- Description based on print version record.
- ISBN:
- 0-8218-9268-1
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