A Course in Modern Geometries (Paperback, Softcover reprint of hardcover 2nd ed. 2001)

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".

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Undergraduate Texts in Mathematics
Release date:	December 2010
First published:	2001
Authors:	Judith N. Cederberg
Dimensions:	235 x 155 x 28mm (L x W x T)
Format:	Paperback
Pages:	441
Edition:	Softcover reprint of hardcover 2nd ed. 2001
ISBN-13:	978-1-4419-3193-1
Categories:	Books > Science & Mathematics > Mathematics > Geometry > General
LSN:	1-4419-3193-7
Barcode:	9781441931931

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