rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Positive Polynomials
    sub title: From Hilbert's 17th Problem to Real Algebra
  name:
    name part: Prestel, Alexander.
    role:
      role term: creator
  name:
    name part: Delzell, Charles N.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 2001
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (viii, 269 pages)
  abstract: 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.
  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.
  note: by Alexander Prestel, Charles N. Delzell.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Algebra
  subject:
    topic: Mathematics
  classification: QA150-272
  classification: 512
  related item:
    title info:
      title: Springer monographs in mathematics
  identifier: 9783662046487 (electronic bk.)
  identifier: 3662046482 (electronic bk.)
  identifier: 9783642074455
  identifier: 3642074456
  identifier: 3662046482
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130409
    record change date: 20260422225016.2
    record identifier: in00003564143
    language of cataloging:
      language term: eng