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Get A Course in Modern Geometries (Undergraduate Texts in 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 offers numerous finite geometries in an axiomatic framework, whereas bankruptcy 2 maintains the unreal 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 provides airplane projective geometry either synthetically and analytically, and the recent bankruptcy five makes use of a descriptive and exploratory method of introduce chaos thought and fractal geometry, stressing the self-similarity of fractals and their iteration via modifications from bankruptcy three. all through, every one bankruptcy features a record of instructed assets for purposes or similar subject matters in parts reminiscent of artwork and heritage, plus this moment version issues to net 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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A Course in Modern Geometries (Undergraduate Texts in Mathematics) by Judith N. Cederberg


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