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: Differential Forms and Applications
  name:
    name part: Carmo, Manfredo P.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1994
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (x, 118 pages 18 illustrations)
  abstract: The book treats differential forms and uses them to study some local and global aspects of the differential geometry of surfaces. Differential forms are introduced in a simple way that will make them attractive to "users" of mathematics. A brief and elementary introduction to differentiable manifolds is given so that the main theorem, namely the Stokes' theorem, can be presented in its natural setting. The applications consist in developing the method of moving frames of E. Cartan to study the local differential geometry of immersed surfaces in R3 as well as the intrinsic geometry of surfaces. Everything is then put together in the last chapter to present Chern's proof of the Gauss-Bonnet theorem for compact surfaces.
  note: by Manfredo P. Carmo.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Global differential geometry
  subject:
    topic: Mathematical physics
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Global differential geometry
  subject:
    topic: Mathematical physics
  subject:
    topic: Mathematics
  classification: QA641-670
  classification: 516.36
  related item:
    title info:
      title: Universitext
  identifier: 9783642579516 (electronic bk.)
  identifier: 3642579515 (electronic bk.)
  identifier: 9783540576181
  identifier: 3540576185
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 121227
    record change date: 20260422225414.9
    record identifier: in00003570215
    language of cataloging:
      language term: eng