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Algorithms in real algebraic geometry

Author: Saugata Basu; Richard D Pollack; Marie-Françoise Roy
Publisher: Berlin : Springer, 2006.
Series: Algorithms and computation in mathematics, vol. 10.
Edition/Format:   eBook : Document : English : 2nd edView 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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Additional Physical Format: Algorithms in real algebraic geometry
(NL-LeOCL)293866821
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Saugata Basu; Richard D Pollack; Marie-Françoise Roy
ISBN: 9783540330998 3540330992 9783540330981 3540330984
OCLC Number: 460817435
Description: 1 online resource (IX, 662 p.) : illustrations
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, vol. 10.
Responsibility: Saugata Basu, Richard Pollack, Marie-Françoise 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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