A Course in Modern Geometries (Undergraduate Texts in Mathematics) - Tapa blanda

Libro 115 de 163: Undergraduate Texts in Mathematics

Cederberg, Judith N. N.

 
9781441931931: A Course in Modern Geometries (Undergraduate Texts in Mathematics)
Tapa blanda
ISBN 10: 1441931937 ISBN 13: 9781441931931
Editorial: Springer, 2010

Sinopsis

A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 continues the synthetic approach as it introduces Euclid's geometry and ideas of non-Euclidean geometry. In Chapter 3, a new introduction to symmetry and hands-on explorations of isometries precedes the extensive analytic treatment of isometries, similarities and affinities. A new concluding section explores isometries of space. Chapter 4 presents plane projective geometry

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Críticas

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

Reseña del editor

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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Editorial
Springer
Año de publicación
2010
Idioma
Inglés
ISBN 10 
1441931937
ISBN 13 
9781441931931
Encuadernación
Tapa blanda
Número de páginas
464
Contacto del fabricante
no disponible
Persona responsable
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Hamburg
Alemania

Otras ediciones populares con el mismo título

9780387989723: A Course in Modern Geometries (Undergraduate Texts in Mathematics)

Edición Destacada

ISBN 10:  0387989722 ISBN 13:  9780387989723
Editorial: Springer, 2004
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