A Course in Modern Geometries (Undergraduate Texts in Mathematics) - Softcover

Cederberg, Judith N.

Softcover

ISBN 10: 1441931937 ISBN 13: 9781441931931

Publisher: Springer, 2010

Synopsis

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 Poincaré model, isometries, projectivities, conics and fractals. Parallel versions are available for "Cabri Geometry" and "Geometers Sketchpad".

About this title

Review

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

Edition details

• Publisher: Springer
• Publication date: 2010
• ISBN 10: 1441931937
• ISBN 13: 9781441931931
• Binding: Paperback
• Language: English
• Edition number: 2
• Number of pages: 460