A Course in Modern Geometries. - 2nd Edition (Relié)

Judith-N Cederberg

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  • Springer

  • Paru le : 03/01/2001
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A Course in Modern Geometries, Second Edition, is designed for a junior-to 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 precede 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 and 4 reinforces ideas from linear algebra and serves as on 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. This 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.
    • Axiomatic Systems and Finite Geometries
    • Non-Euclidean Geometry
    • Geometric Transformations of the Euclidean Plane
    • Projective Geometry
    • Chaos to Symmetry : An introduction to Fractal Geometry
  • Date de parution : 03/01/2001
  • Editeur : Springer
  • Collection : Undergraduate texts in maths
  • ISBN : 0-387-98972-2
  • EAN : 9780387989723
  • Présentation : Relié
  • Nb. de pages : 439 pages
  • Poids : 0.79 Kg
  • Dimensions : 16,0 cm × 24,5 cm × 2,5 cm

Biographie de Judith-N Cederberg

Judith N. Cederberg is an associate professor of mathematics at St. Olaf College in Minnesota, where she often teaches a modern geometry course. In the lost decode, she has been one of the Principal Investigators for two St. Olaf-based NSF Teacher Enhancement projects designed to revitalize the teaching of geometry in secondary school.

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Judith-N Cederberg - A Course in Modern Geometries. - 2nd Edition.
A Course in Modern Geometries.. 2nd Edition
40,10 €
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