Algorithms in Real Algebraic Geometry / by Saugata Basu, Richard Pollack, Marie-Franco̧ise Roy.
The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, or deciding whether two points belong in the same connected component of a semi-algebraic set occur in many contexts. In this first...
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| Online Access: |
Full Text (via Springer) |
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| Main Author: | |
| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2003.
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| Series: | Algorithms and computation in mathematics ;
v. 10. |
| Subjects: |
| Summary: | The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, or deciding whether two points belong in the same connected component of a semi-algebraic set occur in many contexts. In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects, and researchers in computer science and engineering will find the required mathematical background. Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students. |
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| Physical Description: | 1 online resource (viii, 602 pages) |
| ISBN: | 9783662053553 3662053551 |
| ISSN: | 1431-1550 ; |