Positive Polynomials: From Hilbert’s 17th Problem to Real Algebra - Couverture souple

Livre 11 sur 184: Springer Monographs in Mathematics

Prestel, Alexander; Delzell, Charles

 
9783642074455: Positive Polynomials: From Hilbert’s 17th Problem to Real Algebra
Couverture souple
ISBN 10 : 3642074456 ISBN 13 : 9783642074455
Editeur : Springer, 2011

Synopsis

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 R^n 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2011
Langue
anglais
ISBN 10 
3642074456
ISBN 13 
9783642074455
Reliure
Broché
Nombre de pages
280
Coordonnées du fabricant
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9783540412151: Positive Polynomials: From Hilbert's 17th Problem to Real Algebra

Edition présentée

ISBN 10 :  3540412158 ISBN 13 :  9783540412151
Editeur : Springer-Verlag Berlin and Heide..., 2001
Couverture rigide