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: Affine Maps, Euclidean Motions and Quadrics
  name:
    name part: Reventós Tarrida, Agustí.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxk
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVIII, 458p. 49 illus. online resource.
  abstract: Affine geometry and quadrics are fascinating subjects alone, but they are also important applications of linear algebra. They give a first glimpse into the world of algebraic geometry yet they are equally relevant to a wide range of disciplines such as engineering. This text discusses and classifies affinities and Euclidean motions culminating in classification results for quadrics. A high level of detail and generality is a key feature unmatched by other books available. Such intricacy makes this a particularly accessible teaching resource as it requires no extra time in deconstructing the author’s reasoning. The provision of a large number of exercises with hints will help students to develop their problem solving skills and will also be a useful resource for lecturers when setting work for independent study. Affinities, Euclidean Motions and Quadrics takes rudimentary, and often taken-for-granted, knowledge and presents it in a new, comprehensive form. Standard and non-standard examples are demonstrated throughout and an appendix provides the reader with a summary of advanced linear algebra facts for quick reference to the text. All factors combined, this is a self-contained book ideal for self-study that is not only foundational but unique in its approach.’ This text will be of use to lecturers in linear algebra and its applications to geometry as well as advanced undergraduate and beginning graduate students.
  table of contents: Affine Spaces -- Affinities -- Classification of Affinities -- Classification of Affinities in Arbitrary Dimension -- Euclidean Affine Spaces -- Euclidean motions -- Euclidean Motions of the Line, the Plane and of Space -- Affine Classification of Real Quadrics -- Orthogonal Classification of Quadrics -- Appendices.
  note: by Agustí Reventós Tarrida.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Mathematics
  subject:
    topic: Mathematics, general
  subject:
    topic: Algebra
  classification: QA1-939
  classification: 510
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Undergraduate Mathematics Series
  identifier: 9780857297105
  identifier: http://dx.doi.org/10.1007/978-0-85729-710-5
  record info:
    record creation date: 110531
    record change date: 20130725211132.0
    record identifier: 978-0-85729-710-5