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Positive Polynomials and Sums of Squares Murray Marshall

Positive Polynomials and Sums of Squares

Murray Marshall

Published January 9th 2009
ISBN : 9780821844021
Hardcover
187 pages
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 About the Book 

The study of positive polynomials brings together algebra, geometry and analysis. The subject is of fundamental importance in real algebraic geometry, when studying the properties of objects defined by polynomial inequalities. Hilberts 17th problemMoreThe study of positive polynomials brings together algebra, geometry and analysis. The subject is of fundamental importance in real algebraic geometry, when studying the properties of objects defined by polynomial inequalities. Hilberts 17th problem and its solution in the first half of the 20th century were landmarks in the early days of the subject. More recently, new connections to the moment problem and to polynomial optimization have been discovered. The moment problem relates linear maps on the multidimensional polynomial ring to positive Borel measures.