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: Polynomials
  title info:
    title: Mnogochleny. English
  name:
    name part: Prasolov, V. V. (Viktor Vasilʹevich)
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 2010
    edition: [1st softcover print.].
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource.
  abstract: This comprehensive book covers both long-standing results in the theory of polynomials and recent developments which have until now only been available in the research literature. After initial chapters on the location and separation of roots and on irreducibility criteria, the book covers more specialized polynomials, including those which are symmetric, integer-value or cyclotomic, and those of Chebyshev and Bernoulli. There follow chapters on Galois theory and ideals in polynomial rings. Finally there is a detailed discussion of Hilberts 17th problem on the representation of non-negative polynomials as sums of squares of rational functions and generalizations. From the reviews: "... Despite the appearance of this book in a series titled Algorithms and Computation of Mathematics, computation occupies only a small part of the monograph. It is best described as a useful reference for one's personal collection and a text for a full-year course given to graduate or even senior undergraduate students. [.....] the book under review is worth purchasing for the library and possibly even for one's own collection. The author's interest in the history and development of this area is evident, and we have pleasant glimpses of progress over the last three centuries. He exercises nice judgment in selection of arguments, with respect to both representativeness of approaches and elegance, so that the reader gains a synopsis of and guide to the literature, in which more detail can be found. ..." E. Barbeau, SIAM Review 47, No. 3, 2005 "... the volume is packed with results and proofs that are well organised thematically into chapters and sections. What is unusual is to have a text that embraces and intermingles both analytic and algebraic aspects of the theory. Although the subject is about such basic objects, many tough results of considerable generality are incorporated and it is striking that refinements, both in theorems and proofs continued throughout the latter part of the Tw…
  table of contents: Roots of Polynomials -- Irreducible Polynomials -- Polynomials of a Particular Form -- Certain Properties of Polynomials -- Galois Theory -- Ideals in Polynomial Rings -- Hilberts Seventeenth Problem.
  note: by Victor V. Prasolov ; translated by D. Leites.
  note: Electronic resource.
  note: Translated from the Russian.
  subject:
    topic: Polynomials
  subject:
    topic: Polynomials
  classification: QA161.P59 P73 2010
  classification: 512.9422
  related item:
    title info:
      title: Polynomials
    title info:
      title: Mnogochleny. English
    name:
      name part: Prasolov, V.V. (Viktor Vasilʹevich).
    origin info:
      publisher: Berlin ; London : Springer, c2010
      edition: [1st softcover print.].
  related item:
    title info:
      title: Algorithms and computation in mathematics ; 11
  identifier: 9783642039805 (electronic bk.)
  identifier: 3642039804 (electronic bk.)
  identifier: 9783642039799
  identifier: 978-3-642-03979-9 Springer
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: GW5XE
    record creation date: 100909
    record change date: 20190329192942.0
    record identifier: in00002648296
    language of cataloging:
      language term: eng