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Algorithms in Real Algebraic Geometry

Algorithms in Real Algebraic Geometry

Hardcover

Series: Algorithms and Computation in Mathematics, Book 10

General ComputersGeometryProgramming

ISBN10: 3540330984
ISBN13: 9783540330981
Publisher: Springer
Published: Jul 6 2006
Pages: 662
Weight: 2.45
Height: 1.60 Width: 6.46 Depth: 9.50
Language: English

This is the first graduate textbook on the algorithmic aspects of real algebraic geometry. 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.

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