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OverviewFull Product DetailsAuthor: Victoria PowersPublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: 1st ed. 2021 Volume: 69 Weight: 0.424kg ISBN: 9783030855468ISBN 10: 3030855465 Pages: 156 Publication Date: 26 November 2021 Audience: Professional and scholarly , College/higher education , Professional & Vocational , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of Contents1. Preliminaries.- 2. Sums of Squares and Positive Polynomials. - 3. Global Certificates of Positivity.- 4. Positive Semidefinite Ternary Quartics.- 5. Positivity on Semialgebraic Sets.- 6. The Archimedean Property.- 7. Theorems of Schmudgen and Putinar.- 8. The Dimension One Case.- 9. Positivity on Polytopes.- 10. The Noncompact Case.- 11. Sums of Squares of Rational Polynomials.- 12. Positive Polynomials with Special Structure.- Real Algebra and Algebraic Geometry.- Index of Notation.- Index.ReviewsThis book introduces several theories with applications ... . Also, the book includes introductions to various recent developments ... . The author described the results as friendly as possible with sufficient intuitions and examples. ... This book provides a good introduction to certificates of positivity who want to learn this area as a beginner. (Jaewoo Jung, zbMATH 1483.14001, 2022) Author InformationTab Content 6Author Website:Countries AvailableAll regions |