Algorithms in real algebraic geometry / Saugata Basu, Richard Pollack, Marie-Françoise 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, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear fr...
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| Main Authors: | , , |
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| Format: | Ebook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2006]
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| Edition: | Second edition. |
| Series: | Algorithms and computation in mathematics ;
v. 10. |
| Subjects: | |
| Online Access: | Springer eBooks |
| 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, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering. In this textbook the main ideas and techniques presented form a coherent and rich body of knowledge.Mathematicians will find relevant information about the algorithmic aspects. 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.This second edition contains several recent results, on discriminants of symmetric matrices, real root isolation, global optimization, quantitative results on semi-algebraic sets and the first single exponential algorithm computing their first Betti number."--Publisher's website. |
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| Item Description: | Textbook for graduates. |
| Physical Description: | 1 online resource (ix, 662 pages) : illustrations. |
| Format: | Mode of access: World Wide Web. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 1281350001 3540330992 9781281350008 9783540330998 |
| ISSN: | 1431-1550 ; |