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Positive Polynomials: From Hilbert’s 17th Problem to Real Algebra (Springer Monographs in Mathematics) - Softcover

Buch 11 von 187: Springer Monographs in Mathematics

Prestel, Alexander; Delzell, Charles

 
9783642074455: Positive Polynomials: From Hilbert’s 17th Problem to Real Algebra (Springer Monographs in Mathematics)
Softcover
ISBN 10: 3642074456 ISBN 13: 9783642074455
Verlag: Springer, 2011

Inhaltsangabe

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.

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Verlag
Springer
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
3642074456
ISBN 13 
9783642074455
Einband
Taschenbuch
Anzahl der Seiten
280
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