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: Geometry
    sub title: Our Cultural Heritage
  name:
    name part: Holme, Audun.
    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: 2010
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVII, 519 p. online resource.
  abstract: This book contains selected topics from the history of geometry, with "modern" proofs of some of the results, as well as a fully modern treatment of selected basic issues in geometry. It is geared towards the needs of future mathematics teachers. All too often the geometry which goes into the syllabus for these students presents the material in a pedantic and formalistic style, suppressing its dynamic character and its role as part of the foundation of our common cultural heritage. As such, one of my goals is to open up these aspects of the field; another is to extend an invitation to mathematics in general. It is an unfortunate fact that today, at a time when mathematics and knowledge of mathematics are more important than ever, phrases like math avoidance and math anxiety are very much in the public vocabulary. Making a serious effort to heal these ills is an essential task. Thus the book also aims at an informed public, interested in making a new beginning in math.For the 2nd edition, some of the historical material giving historical context has been expanded and numerous illustrations have been added. The main difference is however the inclusion of a large number of exercises with some suggestions for solutions.For excerpts from reviews from the first edition have a look at http://www.springer.com/978-3-540-41949-5.
  table of contents: Part I A Cultural Heritage: 1 Early Beginnings -- 2 The Great River Civilizations -- 3 Greek and Hellenic Geometry -- 4 Geometry in the Hellenistic Era -- 5 Arabic Mathematics and Geometry -- 6 The Geometry of Yesterday and Today -- 7 Geometry and the Real World -- Part II Introduction to Geometry: 8 Axiomatic Geometry -- 9 Axiomatic Projective Geometry -- 10 Models for Non-Euclidean Geometry -- 11 Making Things Precise -- 12 Projective Space -- 13 Geometry in the Affine and the Projective Plane -- 14 Algebraic Curves of Higher Degrees in the Affine Plane R2 -- 15 Higher Geometry in the Projective Plane -- 16 Sharpening the Sword of Algebra -- 17 Constructions with Straightedge and Compass -- 18 Fractal Geometry -- 19 Catastrophe Theory -- 20 General Polyhedra and Tesselations, and their Groups of Symmetry -- 21 Hints and Solutions to some of the Excercises -- References -- Index.
  note: by Audun Holme.
  subject:
    topic: Mathematics
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Geometry
  subject:
    topic: Physics
  subject:
    topic: Mathematics
  subject:
    topic: Geometry
  subject:
    topic: Mathematics, general
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  subject:
    topic: Math Applications in Computer Science
  classification: QA440-699
  classification: 516
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783642144417
  identifier: http://dx.doi.org/10.1007/978-3-642-14441-7
  record info:
    record creation date: 100927
    record change date: 20151204175521.0
    record identifier: 978-3-642-14441-7