Positive Polynomials: From Hilbert's 17th Problem to Real Algebra / Edition 1

Positive Polynomials: From Hilbert's 17th Problem to Real Algebra / Edition 1

by Alexander Prestel, Charles Delzell
     
 

View All Available Formats & Editions

ISBN-10: 3540412158

ISBN-13: 9783540412151

Pub. Date: 05/18/2001

Publisher: Springer Berlin Heidelberg

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.

Overview

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.

Product Details

ISBN-13:
9783540412151
Publisher:
Springer Berlin Heidelberg
Publication date:
05/18/2001
Series:
Springer Monographs in Mathematics Series
Edition description:
2001
Pages:
269
Product dimensions:
6.10(w) x 9.25(h) x 0.03(d)

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.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >