Titlebook: A Course in Real Algebraic Geometry; Positivity and Sums Claus Scheiderer Textbook 2024 The Editor(s) (if applicable) and The Author(s), u

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Textbook 2024ynomials...The first half of the book features a thorough introduction to ordered fields and real closed fields, including the Tarski–Seidenberg projection theorem and transfer principle. Classical results such as Artin‘s solution to Hilbert‘s 17th problem and Hilbert‘s theorems on sums of squares o

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6.4.2 Different growth techniques,rantee the existence of semidefinite representations under fairly general conditions. Constructions due to the author show, on the other hand, that prominent convex sets do not allow such a representation.

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