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: Analysis of Dirac Systems and Computational Algebra
  name:
    name part: Colombo, Fabrizio.
    role:
      role term: creator
  name:
    name part: Sabadini, Irene.
  name:
    name part: Sommen, F.
  name:
    name part: Struppa, Daniele C.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: mau
    date issued: 2004
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (XVI, 336 pages 6 illustrations)
  abstract: The subject of Clifford algebras has become an increasingly rich area of research with a significant number of important applications not only to mathematical physics but to numerical analysis, harmonic analysis, and computer science. The main treatment is devoted to the analysis of systems of linear partial differential equations with constant coefficients, focusing attention on null solutions of Dirac systems. In addition to their usual significance in physics, such solutions are important mathematically as an extension of the function theory of several complex variables. The term "computational" in the title emphasizes two main features of the book, namely, the heuristic use of computers to discover results in some particular cases, and the application of Grbner bases as a primary theoretical tool. Knowledge from different fields of mathematics such as commutative algebra, Grbner bases, sheaf theory, cohomology, topological vector spaces, and generalized functions (distributions and hyperfunctions) is required of the reader. However, all the necessary classical material is initially presented. The book may be used by graduate students and researchers interested in (hyper)complex analysis, Clifford analysis, systems of partial differential equations with constant coefficients, and mathematical physics.
  table of contents: Preface -- Background Material -- Computational Algebraic Analysis for Systems of Linear Constant Coefficients Differential Equations -- The Cauchy-Fueter Systems and its Variations -- Special First Order Systems in Clifford Analysis -- Some First Order Linear Operators in Physics -- Open Problems and Avenues for Further Research -- References -- Index.
  note: by Fabrizio Colombo, Irene Sabadini, Franciscus Sommen, Daniele C. Struppa.
  note: Electronic resource.
  subject:
    topic: Mathematical physics
  subject:
    topic: Dirac equation
  subject:
    topic: Clifford algebras
  subject:
    topic: Differential equations, Partial
  subject:
    topic: Mathematical analysis
  subject:
    topic: Clifford algebras
  subject:
    topic: Differential equations, Partial
  subject:
    topic: Dirac equation
  subject:
    topic: Mathematical analysis
  subject:
    topic: Mathematical physics
  classification: QC20
  classification: 530.15/2/57
  related item:
    title info:
      title: Progress in mathematical physics ; 39
  identifier: 9780817681661 (electronic bk.)
  identifier: 0817681663 (electronic bk.)
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: I9W
    record creation date: 121227
    record change date: 20260422175329.8
    record identifier: in00003540645
    language of cataloging:
      language term: eng