Algorithms in Real Algebraic Geometry / Edition 2

Algorithms in Real Algebraic Geometry / Edition 2

ISBN-10:
3642069649
ISBN-13:
9783642069642
Pub. Date:
11/19/2010
Publisher:
Springer Berlin Heidelberg
Select a Purchase Option (Softcover reprint of hardcover 2nd ed. 2006)
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Overview

Algorithms in Real Algebraic Geometry / Edition 2

In this first-ever 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 mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background. This self-contained book is accessible to graduate and undergraduate students.

Product Details

ISBN-13: 9783642069642
Publisher: Springer Berlin Heidelberg
Publication date: 11/19/2010
Series: Algorithms and Computation in Mathematics Series , #10
Edition description: Softcover reprint of hardcover 2nd ed. 2006
Pages: 662
Product dimensions: 6.14(w) x 9.21(h) x 1.35(d)

Table of 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.

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