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: Complex numbers
    sub title: lattice simulation and zeta function applications
  name:
    name part: Roy, Stephen C. (Stephen Campbell)
    role:
      role term: creator
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: enk
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xii, 131 pages) : illustrations
  abstract: An informative and useful account of complex numbers that includes historical anecdotes, ideas for further research, outlines of theory and a detailed analysis of the ever-elusory Riemann hypothesis. Stephen Roy assumes no detailed mathematical knowledge on the part of the reader and provides a fascinating description of the use of this fundamental idea within the two subject areas of lattice simulation and number theory. Complex Numbers offers a fresh and critical approach to research-based implementation of the mathematical concept of imaginary numbers. Detailed coverage includes:Riemann's zeta function: an investigation of the non-trivial roots by Euler-Maclaurin summation. Basic theory: logarithms, indices, arithmetic and integration procedures are described. Lattice simulation: the role of complex numbers in Paul Ewald's important work of the I 920s is analysed. Mangoldt's study of the xi function: close attention is given to the derivation of N(T) formulae by contour integration. Analytical calculations: used extensively to illustrate important theoretical aspects. Glossary: over 80 terms included in the text are defined. Offers a fresh and critical approach to the research-based implication of complex numbersIncludes historical anecdotes, ideas for further research, outlines of theory and a detailed analysis of the Riemann hypothesisBridges any gaps that might exist between the two worlds of lattice sums and number theory.
  note: Stephen C. Roy.
  note: Includes bibliographical references and index.
  subject:
    topic: Numbers, Complex
  subject:
    topic: Lattice theory
  subject:
    topic: Functions, Zeta
  subject:
    topic: Nombres complexes
  subject:
    topic: Théorie des treillis
  subject:
    topic: Fonctions zêta
  subject:
    topic: MATHEMATICS
    topic: Algebra
    topic: Intermediate
  subject:
    topic: Functions, Zeta
  subject:
    topic: Lattice theory
  subject:
    topic: Numbers, Complex
  classification: QA255 .R69 2007eb
  classification: 512.788
  related item:
    title info:
      title: Complex numbers
    name:
      name part: Roy, Stephen C. (Stephen Campbell).
    identifier: (DLC) 2007390295
    identifier: (OCoLC)77661440
  identifier: 9780857099426
  identifier: 0857099426
  identifier: 1904275257
  identifier: 9781904275251
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: N$T
    record creation date: 140128
    record change date: 20260326195931.3
    record identifier: in00005753598
    language of cataloging:
      language term: eng