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Certificates of Positivity for Real Polynomials

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Cover of 'Certificates of Positivity for Real Polynomials'

Table of Contents

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    Book Overview
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    Chapter 1 Preliminaries
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    Chapter 2 Sums of Squares and Positive Polynomials
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    Chapter 3 Global Certificates of Positivity
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    Chapter 4 Positive Semidefinite Ternary Quartics
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    Chapter 5 Positivity on Semialgebraic Sets
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    Chapter 6 The Archimedean Property
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    Chapter 7 Theorems of Schmüdgen and Putinar
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    Chapter 8 The Dimension One Case
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    Chapter 9 Positivity on Polytopes
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    Chapter 10 The Noncompact Case
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    Chapter 11 Sums of Squares of Rational Polynomials
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    Chapter 12 Positive Polynomials with Special Structure
Attention for Chapter 6: The Archimedean Property
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