Positive polynomials: from Hilbert's 17th problem to real algebra

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. . INDICE: I Real Fields.- II Semialgebraic Sets.- III Quadratic Forms over Real Fields.- IV Real Rings.- V Archimedean Rings.- VI Positive Polynomials on Semialgebraic Sets.- VII Sums of 2mth Powers.- VIII Bounds.- Appendix.

• ISBN: 978-3-642-07445-5
• Editorial: Springer
• Encuadernacion: Rústica
• Fecha Publicación: 31/03/2012
• Nº Volúmenes: 1
• Idioma: Inglés