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

By Judith N. Cederberg

Designed for a junior-senior point direction for arithmetic majors, together with those that plan to educate in secondary university. the 1st bankruptcy offers numerous finite geometries in an axiomatic framework, whereas bankruptcy 2 maintains the unreal method 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 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 iteration by means of modifications from bankruptcy three. all through, every one bankruptcy encompasses a checklist of instructed assets for functions or comparable issues in components equivalent to paintings and historical past, 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 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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