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Algorithms in Real Algebraic Geometry

Overview of attention for book
Cover of 'Algorithms in Real Algebraic Geometry'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Algebraically Closed Fields
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    Chapter 3 Real Closed Fields
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    Chapter 4 Semi-Algebraic Sets
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    Chapter 5 Algebra
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    Chapter 6 Decomposition of Semi-Algebraic Sets
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    Chapter 7 Elements of Topology
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    Chapter 8 Quantitative Semi-algebraic Geometry
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    Chapter 9 Complexity of Basic Algorithms
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    Chapter 10 Cauchy Index and Applications
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    Chapter 11 Real Roots
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    Chapter 12 Cylindrical Decomposition Algorithm
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    Chapter 13 Polynomial System Solving
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    Chapter 14 Existential Theory of the Reals
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    Chapter 15 Quantifier Elimination
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    Chapter 16 Computing Roadmaps and Connected Components of Algebraic Sets
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    Chapter 17 Computing Roadmaps and Connected Components of Semi-algebraic Sets
Attention for Chapter 10: Cauchy Index and Applications
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