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: Mathematical Analysis
    sub title: an Introduction
  name:
    name part: Browder, Andrew.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1996
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xiv, 335 pages)
  abstract: The first semester of this course is the basic introductory course in analysis, introducing the words "compact", "complete" "connected", "continuous", "convergent", etc. Among traditional purposes of such a course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. The topics covered in the second semester, and the second half of this book, are differentiation (of vector-valued functions of several variables), integration, and the connection between these concepts which is displayed in the theorem of Stokes, in its general form. Also included are some beautiful applications of the theory such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions.
  table of contents: Preface -- Real Numbers -- Sequences and Series -- Continuous Functions on Intervals -- Differentiation -- The Riemann Integral -- Topology -- Function Spaces -- Differentiable Maps -- Measures -- Integration -- Manifolds -- Multilinear Algebra -- Differential Forms -- Integration on Manifolds -- References -- Index.
  note: by Andrew Browder.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Cell aggregation
    topic: Mathematics
  subject:
    topic: Cell aggregation
    topic: Mathematics
  subject:
    topic: Mathematics
  classification: QA331.5
  classification: 515.8
  related item:
    title info:
      title: Undergraduate texts in mathematics
  identifier: 9781461207153 (electronic bk.)
  identifier: 1461207150 (electronic bk.)
  identifier: 9781461268796
  identifier: 1461268796
  identifier: 1461207150
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 121227
    record change date: 20260422203215.6
    record identifier: in00003567668
    language of cataloging:
      language term: eng