9780387989723-0387989722-A Course in Modern Geometries (Undergraduate Texts in Mathematics)

A Course in Modern Geometries (Undergraduate Texts in Mathematics)

ISBN-13: 9780387989723
ISBN-10: 0387989722
Edition: 2nd
Author: Cederberg, Judith N.
Publication date: 2001
Publisher: Springer
Format: Hardcover 460 pages
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Book details

ISBN-13: 9780387989723
ISBN-10: 0387989722
Edition: 2nd
Author: Cederberg, Judith N.
Publication date: 2001
Publisher: Springer
Format: Hardcover 460 pages

Summary

Acknowledged authors Cederberg, Judith N. wrote A Course in Modern Geometries (Undergraduate Texts in Mathematics) comprising 460 pages back in 2001. Textbook and eTextbook are published under ISBN 0387989722 and 9780387989723. Since then A Course in Modern Geometries (Undergraduate Texts in Mathematics) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

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".

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