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: Topological Aperitif
  name:
    name part: Jordan, David.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Huggett, Stephen.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxk
    date issued: 2009
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: IX, 152 p. 135 illus. online resource.
  abstract: This is a book of elementary geometric topology, in which geometry, frequently illustrated, guides calculation. The book starts with a wealth of examples, often subtle, of how to be mathematically certain whether two objects are the same from the point of view of topology. After introducing surfaces, such as the Klein bottle, the book explores the properties of polyhedra drawn on these surfaces. More refined tools are developed in a chapter on winding number, and an appendix gives a glimpse of knot theory. Moreover, in this revised edition, a new section gives a geometrical description of part of the Classification Theorem for surfaces. Several striking new pictures show how given a sphere with any number of ordinary handles and at least one Klein handle, all the ordinary handles can be converted into Klein handles. Numerous examples and exercises make this a useful textbook for a first undergraduate course in topology, providing a firm geometrical foundation for further study. For much of the book the prerequisites are slight, though, so anyone with curiosity and tenacity will be able to enjoy the Aperitif. "…distinguished by clear and wonderful exposition and laden with informal motivation, visual aids, cool (and beautifully rendered) pictures…This is a terrific book and I recommend it very highly." MAA Online "Aperitif conjures up exactly the right impression of this book. The high ratio of illustrations to text makes it a quick read and its engaging style and subject matter whet the tastebuds for a range of possible main courses." Mathematical Gazette "A Topological Aperitif provides a marvellous introduction to the subject, with many different tastes of ideas." Professor Sir Roger Penrose OM FRS, Mathematical Institute, Oxford, UK.
  table of contents: Foreword (written by Roger Penrose) -- Homeomorphic Sets -- Topological Properties -- Equivalent Subsets -- Surfaces and Spaces -- Polyhedra -- Winding Number -- Appendix A: Continuity -- Appendix B: Knots -- Appendix C: History -- Appendix D: Solutions -- Bibliography -- Index.
  note: by David Jordan, Stephen Huggett.
  subject:
    topic: Mathematics
  subject:
    topic: Topology
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Complex manifolds
  subject:
    topic: Mathematics
  subject:
    topic: Topology
  subject:
    topic: Manifolds and Cell Complexes (incl. Diff.Topology)
  classification: QA611-614.97
  classification: 514
  related item:
    title info:
      title: Springer eBooks
  identifier: 9781848009134
  identifier: http://dx.doi.org/10.1007/978-1-84800-913-4
  record info:
    record creation date: 100301
    record change date: 20151204161415.0
    record identifier: 978-1-84800-913-4