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: Metric Spaces
  name:
    name part: Shirali, Satish.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Vasudeva, Harkrishan L.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxk
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VIII, 222 p. 21 illus. online resource.
  abstract: This volume provides a complete introduction to metric space theory for undergraduates. It covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and includes results such as the Tietze-Urysohn extension theorem, Picard's theorem on ordinary differential equations, and the set of discontinuities of the pointwise limit of a sequence of continuous functions. Key features include: a full chapter on product metric spaces, including a proof of Tychonoff’s Theorem a wealth of examples and counter-examples from real analysis, sequence spaces and spaces of continuous functions numerous exercises – with solutions to most of them – to test understanding. The only prerequisite is a familiarity with the basics of real analysis: the authors take care to ensure that no prior knowledge of measure theory, Banach spaces or Hilbert spaces is assumed. The material is developed at a leisurely pace and applications of the theory are discussed throughout, making this book ideal as a classroom text for third- and fourth-year undergraduates or as a self-study resource for graduate students and researchers.
  table of contents: Preliminaries -- Basic Concepts -- Topology of a Metric Space -- Continuity -- Connected Spaces -- Compact Spaces -- Product Spaces.
  note: by Satish Shirali, Harkrishan L. Vasudeva.
  subject:
    topic: Mathematics
  subject:
    topic: Functional analysis
  subject:
    topic: Topology
  subject:
    topic: Physics
  subject:
    topic: Engineering
  subject:
    topic: Mathematics
  subject:
    topic: Topology
  subject:
    topic: Functional Analysis
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Engineering, general
  classification: QA611-614.97
  classification: 514
  related item:
    title info:
      title: Springer eBooks
  identifier: 9781846282447
  identifier: http://dx.doi.org/10.1007/1-84628-244-6
  record info:
    record creation date: 100301
    record change date: 20151204174958.0
    record identifier: 978-1-84628-244-7