A Course in Modern Geometries (Undergraduate Texts in - download pdf or read online

By Judith N. Cederberg

Designed for a junior-senior point path for arithmetic majors, together with those that plan to coach in secondary college. the 1st bankruptcy offers a number of finite geometries in an axiomatic framework, whereas bankruptcy 2 keeps the artificial technique 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 in depth analytic therapy of similarities and affinities. bankruptcy four offers aircraft projective geometry either synthetically and analytically, and the hot bankruptcy five makes use of a descriptive and exploratory method of introduce chaos conception and fractal geometry, stressing the self-similarity of fractals and their new release by means of adjustments from bankruptcy three. all through, every one bankruptcy contains a checklist of steered assets for functions or similar themes in components resembling paintings and background, plus this moment variation issues to net destinations of author-developed publications 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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A Course in Modern Geometries (Undergraduate Texts in Mathematics) by Judith N. Cederberg


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