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A Course in Modern Geometries - Undergraduate Texts in Mathematics (Paperback)
  • A Course in Modern Geometries - Undergraduate Texts in Mathematics (Paperback)
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A Course in Modern Geometries - Undergraduate Texts in Mathematics (Paperback)

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£44.99
Paperback 441 Pages / Published: 01/12/2010
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Designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. The first chapter presents several finite geometries in an axiomatic framework, while Chapter 2 continues the synthetic approach in introducing both Euclids and ideas of non-Euclidean geometry. There follows a new introduction to symmetry and hands-on explorations of isometries that precedes an extensive analytic treatment of similarities and affinities. Chapter 4 presents plane projective geometry both synthetically and analytically, and 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. Throughout, each chapter includes a list of suggested resources for applications or related topics in areas such as art and history, plus this second edition points to Web locations of author-developed guides for dynamic software explorations of the Poincare model, isometries, projectivities, conics and fractals. Parallel versions are available for "Cabri Geometry" and "Geometers Sketchpad".

Publisher: Springer-Verlag New York Inc.
ISBN: 9781441931931
Number of pages: 441
Weight: 712 g
Dimensions: 235 x 155 x 23 mm
Edition: Softcover reprint of hardcover 2nd ed. 2001


MEDIA REVIEWS

Second Edition

J. N. Cederberg

A Course in Modern Geometries

"Cederberg's book has the virtue of exceptionally clear exposition and at the same time, it is brief enough not to exhaust one's patience . . . I have seen hundreds of college-level texts on geometry and this is one of the handful I like the most."

-THE UMAP JOURNAL

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