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 Differential Manifolds
  name:
    name part: Lang, Serge.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2002
    edition: Second Edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 250 p. online resource.
  abstract: "This book contains essential material that every graduate student must know. Written with Serge Lang's inimitable wit and clarity, the volume introduces the reader to manifolds, differential forms, Darboux's theorem, Frobenius, and all the central features of the foundations of differential geometry. Lang lays the basis for further study in geometric analysis, and provides a solid resource in the techniques of differential topology. The book will have a key position on my shelf. Steven Krantz, Washington University in St. Louis "This is an elementary, finite dimensional version of the author's classic monograph, Introduction to Differentiable Manifolds (1962), which served as the standard reference for infinite dimensional manifolds. It provides a firm foundation for a beginner's entry into geometry, topology, and global analysis. The exposition is unencumbered by unnecessary formalism, notational or otherwise, which is a pitfall few writers of introductory texts of the subject manage to avoid. The author's hallmark characteristics of directness, conciseness, and structural clarity are everywhere in evidence. A nice touch is the inclusion of more advanced topics at the end of the book, including the computation of the top cohomology group of a manifold, a generalized divergence theorem of Gauss, and an elementary residue theorem of several complex variables. If getting to the main point of an argument or having the key ideas of a subject laid bare is important to you, then you would find the reading of this book a satisfying experience." Hung-Hsi Wu, University of California, Berkeley.
  table of contents: Differential Calculus -- Manifolds -- Vector Bundles -- Vector Fields and Differential Equations -- Operations on Vector Fields and Differential Forms -- The Theorem of Frobenius -- Metrics -- Integration of Differential Forms -- Stokes’ Theorem -- Applications of Stokes’ Theorem.
  note: by Serge Lang.
  subject:
    topic: Mathematics
  subject:
    topic: Topology
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Complex manifolds
  subject:
    topic: Mathematics
  subject:
    topic: Topology
  subject:
    topic: Manifolds and Cell Complexes (incl. Diff.Topology)
  classification: QA611-614.97
  classification: 514
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Universitext
  identifier: 9780387217727
  identifier: http://dx.doi.org/10.1007/b97450
  record info:
    record creation date: 100301
    record change date: 20151125021937.0
    record identifier: 978-0-387-21772-7