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portada A Course in Modern Geometries (Undergraduate Texts in Mathematics)
Type
Physical Book
Publisher
Author
Year
2004
Language
English
Pages
470
Format
Hardcover
ISBN
0387989722
ISBN13
9780387989723
Edition No.
2
Categories

A Course in Modern Geometries (Undergraduate Texts in Mathematics)

Judith N. Cederberg (Author) · Springer · Hardcover

A Course in Modern Geometries (Undergraduate Texts in Mathematics) - Judith N. Cederberg

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Synopsis "A Course in Modern Geometries (Undergraduate Texts in Mathematics) "

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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