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Positivity is one of the most basic mathematical concepts. In many areas of mathematics (like analysis, real algebraic geometry, functional analysis, etc.) it shows up as positivity of a polynomial on a certain subset of Rn which itself is often given by polynomial inequalities. The main objective of the book is to give useful characterizations of such polynomials. It takes as starting point Hilbert's 17th Problem from 1900 and explains how E. Artin's solution of that problem eventually led to the development of real algebra towards the end of the 20th century. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed. Thus the monograph can also serve as the basis for a 2-semester course in real algebra.
|DATE DE PUBLICATION||2001-May-03|
|TAILLE DU FICHIER||1,76 MB|
|NOM DE FICHIER||Positive Polynomials. - From Hilbert's 17th Problem to Real Algebra.pdf|
From Hilbert's 17th Problem to Real Algebra. Authors: Prestel, Alexander, Delzell, Charles Free Preview. Buy this book eBook 67,40 € ... Positive Polynomials on Semialgebraic Sets. Pages 139-159. Prestel, Alexander (et al.) Preview Buy Chapter 30,19 € Sums of 2mth Powers. Pages 161-178. Prestel, Alexander (et al.) Preview Buy Chapter 30,19 € Bounds. Pages 179-201. Prestel, Alexander ...
Positive Polynomials: From Hilbert's 17th Problem to Real Algebra (Springer Monographs in Mathematics) eBook: Alexander Prestel, Charles N. Delzell, Charles Delzell: Amazon.ca: Kindle Store