Positive Polynomials: From Hilbert's 17th Problem to Real Algebra (2001)Hardcover - 2001, 24 April 2001

Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed.