Download A Course in Modern Geometries (Undergraduate Texts in by Judith N. Cederberg PDF

By Judith N. Cederberg

Designed for a junior-senior point path for arithmetic majors, together with those that plan to educate in secondary tuition. the 1st bankruptcy provides a number of finite geometries in an axiomatic framework, whereas bankruptcy 2 keeps the factitious procedure in introducing either Euclids and concepts of non-Euclidean geometry. There follows a brand new advent to symmetry and hands-on explorations of isometries that precedes an intensive analytic therapy of similarities and affinities. bankruptcy four provides aircraft projective geometry either synthetically and analytically, and the recent bankruptcy five makes use of a descriptive and exploratory method of introduce chaos idea and fractal geometry, stressing the self-similarity of fractals and their new release through alterations from bankruptcy three. all through, every one bankruptcy contains a record of urged assets for functions or similar themes in parts similar to paintings and heritage, plus this moment variation issues to internet destinations of author-developed publications for dynamic software program explorations of the Poincaré version, isometries, projectivities, conics and fractals. Parallel models can be found for "Cabri Geometry" and "Geometers Sketchpad".

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