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Algorithms in real algebraic geometry

Author: Saugata Basu; Richard Pollack; Marie-Françoise Coste-Roy
Publisher: Berlin [u.a.] Springer 2010
Series: Algorithms and computation in mathematics, 10
Edition/Format:   Print book : English : 2. ed., Softcover version of original hardcover edition 2006View all editions and formats
Summary:

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  Read more...

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Document Type: Book
All Authors / Contributors: Saugata Basu; Richard Pollack; Marie-Françoise Coste-Roy
ISBN: 9783642069642 3642069649
OCLC Number: 1074412234
Description: X, 662 S.
Contents: Algebraically Closed Fields.- Real Closed Fields.- Semi-Algebraic Sets.- Algebra.- Decomposition of Semi-Algebraic Sets.- Elements of Topology.- Quantitative Semi-algebraic Geometry.- Complexity of Basic Algorithms.- Cauchy Index and Applications.- Real Roots.- Cylindrical Decomposition Algorithm.- Polynomial System Solving.- Existential Theory of the Reals.- Quantifier Elimination.- Computing Roadmaps and Connected Components of Algebraic Sets.- Computing Roadmaps and Connected Components of Semi-algebraic Sets.
Series Title: Algorithms and computation in mathematics, 10
Responsibility: Saugata Basu ; Richard Pollack ; Marie-Françoise Coste-Roy.
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From the reviews:"The monograph gives a self-contained detailed exposition of the algorithmic real algebraic geometry. ... In general, the monograph is well written and will be useful both for Read more...

 
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