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

By Judith N. Cederberg

Designed for a junior-senior point direction for arithmetic majors, together with those that plan to coach in secondary institution. the 1st bankruptcy provides a number of finite geometries in an axiomatic framework, whereas bankruptcy 2 maintains the artificial 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 in depth analytic therapy 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 new release by way of alterations from bankruptcy three. all through, every one bankruptcy contains a record of advised assets for functions or similar issues in parts akin 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 models can be found for "Cabri Geometry" and "Geometers Sketchpad".

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