Modern Geometries, 1978, James R. Smart, 0818502657, 9780818502651,Brooks/Cole Publishing Company, 1978

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This comprehensive, best-selling text focuses on the study of many different geometries -- ratherthan a single geometry -- and is thoroughly modern in its approach. Each chapter is essentially ashort course on one aspect of modern geometry, including finite geometries, the geometry oftransformations, convexity, advanced Euclidian geometry, inversion, projective geometry,geometric aspects of topology, and non-Euclidean geometries. This edition reflects therecommendations of the COMAP proceedings on Geometry's Future, the NCTM standards, and theProfessional Standards for Teaching Mathematics. References to a new companion text, ActiveGeometry by David A. Thomas encourage students to explore the geometry of motion through theuse of computer software. Using Active Geometry at the beginning of various sections allowsprofessors to give students a somewhat more intuitive introduction using current technology beforemoving on to more abstract concepts and theorems.

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