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: An
    title: Introduction to Incidence Geometry
  name:
    name part: De Bruyn, Bart.
    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: 2016
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 372 p. online resource.
  abstract: This book gives an introduction to the field of Incidence Geometry by discussing the basic families of point-line geometries and introducing some of the mathematical techniques that are essential for their study. The families of geometries covered in this book include among others the generalized polygons, near polygons, polar spaces, dual polar spaces and designs. Also the various relationships between these geometries are investigated. Ovals and ovoids of projective spaces are studied and some applications to particular geometries will be given. A separate chapter introduces the necessary mathematical tools and techniques from graph theory. This chapter itself can be regarded as a self-contained introduction to strongly regular and distance-regular graphs. This book is essentially self-contained, only assuming the knowledge of basic notions from (linear) algebra and projective and affine geometry. Almost all theorems are accompanied with proofs and a list of exercises with full solutions is given at the end of the book. This book is aimed at graduate students and researchers in the fields of combinatorics and incidence geometry.
  table of contents: 1.Introductory notions -- 2.Some classes of point-line geometries -- 3.Strongly regular and distance-regular graphs -- 4.Projective spaces -- 5.Generalized polygons -- 6.Near polygons -- 7.Polar spaces -- 8.Dual polar spaces -- 9.Designs.
  note: by Bart De Bruyn.
  subject:
    topic: Mathematics
  subject:
    topic: Geometry
  subject:
    topic: Mathematics
  subject:
    topic: Geometry
  classification: QA440-699
  classification: 516
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Frontiers in Mathematics
  identifier: 9783319438115
  identifier: http://dx.doi.org/10.1007/978-3-319-43811-5
  record info:
    record creation date: 161109
    record change date: 20161109103406.0
    record identifier: 978-3-319-43811-5