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: Metaharmonic lattice point theory
  name:
    name part: Freeden, W.
    role:
      role term: creator
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    place:
      place term: Boca Raton
    publisher: Taylor and Francis
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xxiv, 442 pages) : illustrations.
  abstract: Metaharmonic Lattice Point Theory covers interrelated methods and tools of spherically oriented geomathematics and periodically reflected analytic number theory. The book establishes multi-dimensional Euler and Poisson summation formulas corresponding to elliptic operators for the adaptive determination and calculation of formulas and identities of weighted lattice point numbers, in particular the non-uniform distribution of lattice points. The author explains how to obtain multi-dimensional generalizations of the Euler summation formula by interpreting classical Bernoulli polynomials as Green's functions and linking them to Zeta and Theta functions. To generate multi-dimensional Euler summation formulas on arbitrary lattices, the Helmholtz wave equation must be converted into an associated integral equation using Green's functions as bridging tools. After doing this, the weighted sums of functional values for a prescribed system of lattice points can be compared with the corresponding integral over the function. Exploring special function systems of Laplace and Helmholtz equations, this book focuses on the analytic theory of numbers in Euclidean spaces based on methods and procedures of mathematical physics. It shows how these fundamental techniques are used in geomathematical research areas, including gravitation, magnetics, and geothermal.
  note: Willi Freeden.
  note: Includes bibliographical references.
  subject:
    topic: Lattice theory
  subject:
    topic: Geology
    topic: Mathematics
  subject:
    topic: Number theory
  subject:
    topic: Théorie des treillis
  subject:
    topic: Géologie
    topic: Mathématiques
  subject:
    topic: Théorie des nombres
  subject:
    topic: Geology
    topic: Mathematics
  subject:
    topic: Lattice theory
  subject:
    topic: Number theory
  classification: QA171.5 .F735 2011eb
  classification: 516.35
  related item:
    title info:
      title: Metaharmonic lattice point theory
    name:
      name part: Freeden, W.
    origin info:
      publisher: Boca Raton : Taylor & Francis, 2011
    identifier: (DLC) 2011021889
  related item:
    title info:
      title: Monographs and textbooks in pure and applied mathematics
  identifier: 9781439861851
  identifier: 1439861854
  identifier: 1439861846
  identifier: 9781439861844
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: E7B
    record creation date: 110630
    record change date: 20250728184619.4
    record identifier: in00005652786
    language of cataloging:
      language term: eng