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: Modern Approaches to Discrete Curvature
  name:
    name part: Najman, Laurent.
    role:
      role term: editor.
  name:
    name part: Romon, Pascal.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXVI, 353 p. 80 illus., 35 illus. in color. online resource.
  abstract: This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics. It includes a vast collection of ideas and tools which will offer something new to all interested readers. Discrete geometry has arisen as much as a theoretical development as in response to unforeseen challenges coming from applications. Discrete and continuous geometries have turned out to be intimately connected. Discrete curvature is the key concept connecting them through many bridges in numerous fields: metric spaces, Riemannian and Euclidean geometries, geometric measure theory, topology, partial differential equations, calculus of variations, gradient flows, asymptotic analysis, probability, harmonic analysis, graph theory, etc. In spite of its crucial importance both in theoretical mathematics and in applications, up to now, almost no books have provided a coherent outlook on this emerging field.
  table of contents: 1 The geometric meaning of curvature. Local and nonlocal aspects of Ricci curvature.- 2 Metric Curvatures Revisited - A Brief Overview -- 3 Distances between datasets -- 4 Inference of curvature using tubular neighborhoods -- 5 Entropic Ricci curvature for discrete spaces -- 5 Geometric and spectral consequences of curvature bounds on tesselatations -- 7 The geometric spectrum of a graph and associated curvatures -- 8 Discrete minimal surfaces of Koebe type -- 9 Robust and Convergent Curvature and Normal Estimators with Digital Integral Invariants -- References -- List of Figures -- Index.
  note: edited by Laurent Najman, Pascal Romon.
  subject:
    topic: Mathematics
  subject:
    topic: Algebraic geometry
  subject:
    topic: Computer mathematics
  subject:
    topic: Geometry
  subject:
    topic: Discrete mathematics
  subject:
    topic: Mathematics
  subject:
    topic: Geometry
  subject:
    topic: Algebraic Geometry
  subject:
    topic: Discrete Mathematics
  subject:
    topic: Computational Mathematics and Numerical Analysis
  classification: QA440-699
  classification: 516
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 2184
  identifier: 9783319580029
  identifier: http://dx.doi.org/10.1007/978-3-319-58002-9
  record info:
    record creation date: 171004
    record change date: 20171004231921.0
    record identifier: 978-3-319-58002-9