| 书目名称 | Positive Polynomials |
| 副标题 | From Hilbert’s 17th |
| 编辑 | Alexander Prestel,Charles N. Delzell |
| 视频video | |
| 概述 | Includes supplementary material: |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | 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. |
| 出版日期 | Book 2001 |
| 关键词 | Algebra; Positive polynomials; Real Algebra; Semialgebraic sets; functional analysis; hilbert‘s 17th prob |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-04648-7 |
| isbn_softcover | 978-3-642-07445-5 |
| isbn_ebook | 978-3-662-04648-7Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag Berlin Heidelberg 2001 |
发表于 2025-3-21 18:05:09
