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

By Judith N. Cederberg

Designed for a junior-senior point path for arithmetic majors, together with those that plan to educate in secondary college. the 1st bankruptcy offers numerous finite geometries in an axiomatic framework, whereas bankruptcy 2 maintains the unreal method in introducing either Euclids and ideas of non-Euclidean geometry. There follows a brand new advent to symmetry and hands-on explorations of isometries that precedes an intensive analytic remedy of similarities and affinities. bankruptcy four provides 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 through modifications from bankruptcy three. all through, every one bankruptcy encompasses a checklist of instructed assets for purposes or similar issues in parts similar to artwork and heritage, 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 types can be found for "Cabri Geometry" and "Geometers Sketchpad".

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