Download e-book for kindle: A Course in Modern Geometries (Undergraduate Texts in by Judith N. Cederberg

By Judith N. Cederberg

ISBN-10: 0387989722

ISBN-13: 9780387989723

ISBN-10: 1441931937

ISBN-13: 9781441931931

ISBN-10: 3540969225

ISBN-13: 9783540969228

Designed for a junior-senior point direction for arithmetic majors, together with those that plan to educate in secondary college. the 1st bankruptcy offers a number of finite geometries in an axiomatic framework, whereas bankruptcy 2 maintains the bogus process in introducing either Euclids and ideas of non-Euclidean geometry. There follows a brand new creation to symmetry and hands-on explorations of isometries that precedes an in depth analytic remedy 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 concept and fractal geometry, stressing the self-similarity of fractals and their new release through adjustments from bankruptcy three. all through, every one bankruptcy incorporates a record of steered assets for purposes or similar subject matters in components resembling artwork and background, 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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A Course in Modern Geometries (Undergraduate Texts in Mathematics) by Judith N. Cederberg


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