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 institution. the 1st bankruptcy provides numerous finite geometries in an axiomatic framework, whereas bankruptcy 2 maintains the artificial process 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 offers airplane projective geometry either synthetically and analytically, and the hot 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 iteration by way of changes from bankruptcy three. all through, every one bankruptcy encompasses a checklist of prompt assets for functions or comparable issues in components corresponding to paintings and background, plus this moment variation issues to internet destinations of author-developed courses 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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