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: Introduction to Hyperbolic Geometry
  name:
    name part: Ramsay, Arlan.
    role:
      role term: creator
  name:
    name part: Richtmyer, Robert D.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1995
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xii, 289 pages)
  abstract: This text for advanced undergraduates emphasizes the logical connections of the subject. The derivations of formulas from the axioms do not make use of models of the hyperbolic plane until the axioms are shown to be categorical; the differential geometry of surfaces is developed far enough to establish its connections to the hyperbolic plane; and the axioms and proofs use the properties of the real number system to avoid the tedium of a completely synthetic approach. The development includes properties of the isometry group of the hyperbolic plane, tilings, and applications to special relativity. Elementary techniques from complex analysis, matrix theory, and group theory are used, and some mathematical sophistication on the part of students is thus required, but a formal course in these topics is not a prerequisite.
  note: by Arlan Ramsay, Robert D. Richtmyer.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematics
  classification: QA1-939
  classification: 510
  related item:
    title info:
      title: Universitext
  identifier: 9781475755855 (electronic bk.)
  identifier: 1475755856 (electronic bk.)
  identifier: 9780387943398
  identifier: 0387943390
  identifier: 1475755856
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130125
    record change date: 20260422222510.8
    record identifier: in00003559774
    language of cataloging:
      language term: eng