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

Prestel, Alexander; Delzell, Charles

 
9783540412151: Positive Polynomials: From Hilbert’s 17th Problem to Real Algebra (Springer Monographs in Mathematics)

Inhaltsangabe

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.

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Críticas

From the reviews of the first edition:

"This is a nicely written introduction to ‘reality’ and ‘positivity’ in rings, and besides students and researchers it can also be interesting for anyone who would like to learn more on positivity and orderings." (Vilmos Totik, Acta Scientiarum Mathematicarum, Vol. 68, 2002)

"A book on ‘real algebra’ that serves as an introduction to the subject in addition to the main theme of the text. ... Well written with exercises for every chapter." (ASLIB Book Guide, Vol. 66 (11), 2001)

Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Weitere beliebte Ausgaben desselben Titels

9783642074455: Positive Polynomials: From Hilbert’s 17th Problem to Real Algebra (Springer Monographs in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  3642074456 ISBN 13:  9783642074455
Verlag: Springer, 2011
Softcover