Positive Polynomials

Name: Positive Polynomials
SKU: 2108087
Price: 139.99 AUD
Availability: InStock

From Hilbert’s 17th Problem to Real Algebra

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Format:

Hardback

Series:

Springer Monographs in Mathematics

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Description

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 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.

Release date Australia

April 24th, 2001

Author

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Illustrations

VIII, 268 p.

Pages

268

Series

Springer Monographs in Mathematics

Dimensions

156x234x17

ISBN-13

9783540412151

Product ID

2108087

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