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: Basic Elements of Real Analysis
  name:
    name part: Protter, Murray H.
    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: 1998
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 276 p. online resource.
  abstract: From the author of the highly acclaimed "A First Course in Real Analysis" comes a volume designed specifically for a short one- semester course in real analysis. Many students of mathematics and those students who intend to study any of the physical sciences and computer science need a text that presents the most important material in a brief and elementary fashion. The author has included such elementary topics as the real number system, the theory at the basis of elementary calculus, the topology of metric spaces and infinite series. There are proofs of the basic theorems on limits at a pace that is deliberate and detailed. There are illustrative examples throughout with over 45 figures.
  table of contents: The Real Number System -- Continuity and Limits -- Basic Properties of Functions on ?1 -- Elementary Theory of Differentiation -- Elementary Theory of Integration -- Elementary Theory of Metric Spaces -- Differentiation and Integration in ?N -- Infinite Series -- The Derivative of an Integral -- The Riemann-Stieltjes Integral -- The Implicit Function Theorem. Lagrange Multipliers -- Vector Functions on ?N; The Theorems of Green and stokes.
  note: by Murray H. Protter.
  subject:
    topic: Mathematics
  subject:
    topic: Functions of real variables
  subject:
    topic: Mathematics
  subject:
    topic: Real Functions
  classification: QA331.5
  classification: 515.8
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Undergraduate Texts in Mathematics
  identifier: 9780387227498
  identifier: http://dx.doi.org/10.1007/b98884
  record info:
    record creation date: 100301
    record change date: 20151116135020.0
    record identifier: 978-0-387-22749-8