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Positive Polynomials

Name: Positive Polynomials
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 01365652
Price: 60.39 EUR
Availability: InStock
Author: Alexander Prestel
ISBN: 9783540412151

Alexander Prestel

Language

English

Book Hardback

Libristo code: 01365652

Publishers Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, April 2001

Positivity is one of the most basic mathematical concepts. In many areas of mathematics (like analys... Full description

Libristo code: 01365652

148 b

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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 Rn 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 Hilberts 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.