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: Discriminants, Resultants and Multidimensional Determinants
  name:
    name part: Gelfand, Israel M.
    role:
      role term: creator
  name:
    name part: Kapranov, Mikhail M.
  name:
    name part: Zelevinsky, Andrei V.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: mau
    date issued: 1994
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (x, 523 pages)
  abstract: "This book revives and vastly expands the classical theory of resultants and discriminants. Most of the main new results of the book have been published earlier in more than a dozen joint papers of the authors. The book nicely complements these original papers with many examples illustrating both old and new results of the theory."--Mathematical Reviews "Collecting and extending the fundamental and highly original results of the authors, it presents a unique blend of classical mathematics and very recent developments in algebraic geometry, homological algebra, and combinatorial theory."--Zentralblatt Math "This book is highly recommended if you want to get into the thick of contemporary algebra, or if you wish to find some interesting problem to work on, whose solution will benefit mankind." -Gian-Carlo Rota, Advanced Book Reviews " ... the book is almost perfectly written, and thus I warmly recommend it not only to scholars but especially to students. The latter do need a text with broader views, which shows that mathematics is not just a sequence of apparently unrelated expositions of new theories ... but instead a very huge and intricate building whose edification may sometimes experience difficulties ... but eventually progresses steadily." -Bulletin of the American Mathematical Society.
  table of contents: Preface -- Introduction -- General Discriminants and Resultants -- Projective Dual Varieties and General Discriminants -- The Cayley Method of Studying Discriminants -- Associated Varieties and General Resultants -- Chow Varieties -- Toric Varieties -- Newton Polytopes and Chow Polytopes -- Triangulations and Secondary Polytopes -- A-Resultants and Chow Polytopes of Toric Varieties -- A-Discriminants -- Principal A-Discriminants -- Regular A-Determinants and A-Discriminants -- Classical Discriminants and Resultants -- Discriminants and Resultants for Polynomials in One Variable -- Discriminants and Resultants for Forms in Several Variables -- Hyperdeterminants -- Appendix A. Determinants -- Appendix B.A. Cayley: On the Theory of Elimination -- Bibliography -- Notes and References -- List of Notation -- Index.
  note: by Israel M. Gelfand, Mikhail M. Kapranov, Andrei V. Zelevinsky.
  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: Mathematics (Boston, Mass.)
  identifier: 9780817647711 (electronic bk.)
  identifier: 0817647716 (electronic bk.)
  identifier: 9780817647704
  identifier: 0817647708
  identifier: 0817647716
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 100715
    record change date: 20260422165541.4
    record identifier: in00003570636
    language of cataloging:
      language term: eng