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: Algorithmic Topology and Classification of 3-Manifolds
  name:
    name part: Matveev, Sergei.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 492 p. online resource.
  abstract: From the reviews of the 1st edition: "This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration of 3-manifolds. Originating from lecture notes of various courses given by the author over a decade, the book is intended to combine the pedagogical approach of a graduate textbook (without exercises) with the completeness and reliability of a research monograph… All the material, with few exceptions, is presented from the peculiar point of view of special polyhedra and special spines of 3-manifolds. This choice contributes to keep the level of the exposition really elementary. In conclusion, the reviewer subscribes to the quotation from the back cover: "the book fills a gap in the existing literature and will become a standard reference for algorithmic 3-dimensional topology both for graduate students and researchers". R. Piergallini, Zentralblatt für Mathematik 1048 (2004) For this 2nd edition, new results, new proofs, and commentaries for a better orientation of the reader have been added.
  table of contents: Simple and Special Polyhedra -- Complexity Theory of 3-Manifolds -- Haken Theory of Normal Surfaces -- Applications of the Theory of Normal Surfaces -- Algorithmic Recognition of S3 -- Classification of Haken 3-Manifolds -- 3-Manifold Recognizer -- The Turaev–Viro Invariants.
  note: by Sergei Matveev.
  subject:
    topic: Mathematics
  subject:
    topic: Computer programming
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Algorithms
  subject:
    topic: Differential geometry
  subject:
    topic: Topology
  subject:
    topic: Mathematics
  subject:
    topic: Topology
  subject:
    topic: Programming Techniques
  subject:
    topic: Differential Geometry
  subject:
    topic: Algorithms
  subject:
    topic: Symbolic and Algebraic Manipulation
  classification: QA611-614.97
  classification: 514
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Algorithms and Computation in Mathematics, 9
  identifier: 9783540458999
  identifier: http://dx.doi.org/10.1007/978-3-540-45899-9
  record info:
    record creation date: 100301
    record change date: 20151204182146.0
    record identifier: 978-3-540-45899-9