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 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.
| ISBN: | 9783540412151 |
| Publication date: | 24th April 2001 |
| Author: | Alexander Prestel, Charles Delzell |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Hardback |
| Pagination: | 268 pages |
| Series: | Springer Monographs in Mathematics |
| Genres: |
Algebra Functional analysis and transforms Algebraic geometry |
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.
Positive Polynomials features in the following genres: Algebra, Functional analysis and transforms, Algebraic geometry
Hardback. Not Available.
Positive Polynomials was written by Alexander Prestel, Charles Delzell and published by Springer an imprint of Springer Berlin Heidelberg
Positive Polynomials has 268 pages
Yes it is part of Springer Monographs in Mathematics series