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:
    non sort: A
    title: First Course in Real Analysis
  name:
    name part: Protter, Murray H.
    role:
      role term: creator
  name:
    name part: Morrey, Charles B.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1991
    edition: Second edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xviii, 536 pages)
  abstract: Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation.
  table of contents: The Real Number System -- Continuity and Limits -- Basic Properties of Functions on R -- Elementary Theory of Differentiation -- Elementary Theory of Integration -- Elementary Theory of Metric Spaces -- Differentiation in R -- Integration in R -- Infinite Sequences and Infinite Series -- Fourier Series -- Functions Defined by Integrals.-Improper Integrals -- The Riemann-Stieltjes Integral and Functions of Bounded Variation -- Contraction Mappings, Newton's Method, and Differential Equations -- Implicit Function Theorems and Lagrange Multipliers -- Functions on Metric Spaces -- Approximation -- Vector Field Theory; the Theorems of Green and Stokes. Appendices.
  note: by Murray H. Protter, Charles B. Morrey.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematics
  classification: QA331.5
  classification: 515.8
  related item:
    title info:
      title: Undergraduate texts in mathematics
  identifier: 9781441987440 (electronic bk.)
  identifier: 1441987444 (electronic bk.)
  identifier: 9781461264606
  identifier: 146126460X
  identifier: 1441987444
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 121227
    record change date: 20260420202557.3
    record identifier: in00003566060
    language of cataloging:
      language term: eng