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

lgli/James R. Smart - Modern Geometries-Brooks_Cole (1999).pdf

lgrsnf/James R. Smart - Modern Geometries-Brooks_Cole (1999).pdf

zlib/no-category/James R. Smart/Modern Geometries_26216219.pdf

Smart, James R.

Brooks-Cole Publishing Company

Course Technology

Wadsworth

5th ed., Pacific Grove, CA, California, 1998

United States, United States of America

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Includes bibliographical references (p. 421-425) and index.

2023-09-21