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: Course in Modern Geometries
  name:
    name part: Cederberg, Judith N.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 2001
    edition: Second edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (xix, 444 pages)
  abstract: A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 continues the synthetic approach as it introduces Euclid's geometry and ideas of non-Euclidean geometry. In Chapter 3, a new introduction to symmetry and hands-on explorations of isometries precedes the extensive analytic treatment of isometries, similarities and affinities. A new concluding section explores isometries of space. Chapter 4 presents plane projective geometry both synthetically and analytically. The extensive use of matrix representations of groups of transformations in Chapters 3-4 reinforces ideas from linear algebra and serves as excellent preparation for a course in abstract algebra. The new Chapter 5 uses a descriptive and exploratory approach to introduce chaos theory and fractal geometry, stressing the self-similarity of fractals and their generation by transformations from Chapter 3. Each chapter includes a list of suggested resources for applications or related topics in areas such as art and history. The second edition also includes pointers to the web location of author-developed guides for dynamic software explorations of the Poincaré model, isometries, projectivities, conics and fractals. Parallel versions of these explorations are available for "Cabri Geometry" and "Geometer's Sketchpad". Judith N. Cederberg is an associate professor of mathematics at St. Olaf College in Minnesota.
  table of contents: Axiomatic systems and finite geometries -- Non-Euclidean geometry -- Geometric transformations of the Euclidean plane -- Projective geometry -- Chaos to symmetry: an introduction to fractal geometry.
  note: by Judith N. Cederberg.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Geometry
  subject:
    topic: Geometry
  subject:
    topic: Mathematics
  classification: QA440-699
  classification: 516
  related item:
    title info:
      title: Undergraduate texts in mathematics
  identifier: 9781475734904 (electronic bk.)
  identifier: 1475734905 (electronic bk.)
  identifier: 9781441931931
  identifier: 1441931937
  identifier: 1475734905
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130220
    record change date: 20260420205918.8
    record identifier: in00003570199
    language of cataloging:
      language term: eng