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Algorithms in real algebraic geometry

Author: Saugata Basu; Richard Pollack; Marie-Françoise Roy
Publisher: Berlin ; New York : Springer, ©2003.
Series: Algorithms and computation in mathematics.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

In this 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  Read more...

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Genre/Form: Procesamiento de datos
Document Type: Book
All Authors / Contributors: Saugata Basu; Richard Pollack; Marie-Françoise Roy
ISBN: 3540009736 9783540009733
OCLC Number: 318265133
Description: viii, 602 p. : il. ; 25 cm.
Contents: Introduction * 1 Algebraically Closed Fields * 2 Real Closed Fields * 3 Semi-Algebraic Sets * 4 Algebra * 5 Decomposition of Semi-Algebraic Sets * 6 Elements of Topology * 7 Quantitative semi-algebraic geometry * 8 Complexity of Basic Algorithms * 9 Cauchy index and applications * 10 Real Roots * 11 Polynomial System Solving * 12 Cylindrical decomposition algorithm * 13 Existential Theory of the Reals * 14 Quantifier Elimination * 15 Computing Roadmaps and Connected Components of Algebraic Sets * 16 Computing roadmaps and connected components of Semi-algebraic sets * References * Index.
Series Title: Algorithms and computation in mathematics.
Responsibility: Saugata Basu, Richard Pollack, Marie-Françoise Roy.

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"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 beginners and for Read more...

 
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