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
    sub title: a complement to vector calculus
  name:
    name part: Weintraub, Steven H
    role:
      role term: creator
    role:
      role term: author
  type of resource: text
  origin info:
    place:
      place term: cau
    date issued: 1997
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: print
    extent: xii, 256 pages : illustrations ; 23 cm
  table of contents: The Algebra of Differential Forms -- Exterior Differentiation -- The Fundamental Correspondence -- The Notion of a Manifold (with Boundary) -- Orientation -- [Iota]-Forms -- [Kappa]-Forms -- Push-forwards and Pull-backs -- The Integral of a 0-Form over a Point (Evaluation) -- The Integral of a 1-Form over a Curve (Line Integrals) -- The Integral of a 2-Form over a Surface (Flux Integrals) -- The Integral of a 3-Form over a Solid Body (Volume Integrals) -- Integration via Pull-backs -- Statement of the Theorem -- The Fundamental Theorem of Calculus and Its Analog for Line Integrals -- Green's and Stokes's Theorems -- Gauss's Theorem -- Proof of the GST -- Differential Forms in R[superscript eta] and Poincare's Lemma -- Manifolds, Tangent Vectors, and Orientations -- The Basics of de Rham Cohomology -- Appendix: Why Does a Mirror Reverse Left and Right?
  note: Steven H. Weintraub.
  note: Includes index.
  subject:
    topic: Differential forms
  subject:
    topic: Formes différentielles
  subject:
    topic: Differential forms
  subject:
    topic: Differentialform
  subject:
    topic: Differential forms
  subject:
    topic: Differential equations
  classification: QA381 .W45 1997
  classification: 515/.37
  classification: SK 370
  classification: MAT 535f
  identifier: 0127425101
  identifier: 9780127425108
  identifier: 96022149
  identifier: 96001997
  identifier: http://catdir.loc.gov/catdir/toc/fy042/96001997.html
  identifier: http://bvbr.bib-bvb.de:8991/F
  identifier: http://catdir.loc.gov/catdir/enhancements/fy0806/96001997-d.html
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  location:
    physical location: TAG TAGC
  record info:
    record content source: DLC
    record creation date: 960130
    record change date: 20240808153201.3
    record identifier: in00004815084
    language of cataloging:
      language term: eng