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Modern geometries

Author: James R Smart
Publisher: Pacific Grove, CA : Brooks/Cole, ©1998.
Edition/Format:   Print book : English : 5th edView all editions and formats
Summary:
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  Read more...
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Additional Physical Format: Online version:
Smart, James R.
Modern geometries.
Pacific Grove, CA : Brooks/Cole, ©1998
(OCoLC)625272027
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: James R Smart
ISBN: 0534351883 9780534351885
OCLC Number: 37675849
Description: xvii, 451 pages : illustrations (some color) ; 25 cm
Contents: Sets of axioms and finite geometries --
Geometric transformations --
Convexity --
Modern Euclidean geometry, theory, and applications --
Constructions --
The transformation of inversion --
Projective geometry --
Geometric introduction to topological transformations --
Non-Euclidean geometries.
Responsibility: James R. Smart.
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Abstract:

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.

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1. SETS OF AXIOMS AND FINITE GEOMETRIES Introduction to Geometry / Development of Modern Geometries / Introduction to Finite Geometries / Four-Line and Four-Point Geometries / Finite Geometries of Read more...

 
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