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

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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 R^n which itself is often given by polynomial inequalities. The main objective...

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Bibliographic Details
Main Author: Prestel, Alexander
Corporate Author: SpringerLink (Online service)
Other Authors: Delzell, Charles N.
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2001.
Series:Springer monographs in mathematics.
Subjects:
Mathematics.
Algebra.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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.