Modern Geometries: Non-Euclidean, Projective, and Discrete

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Prentice Hall, Jan 1, 2001 - Mathematics - 389 pages
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Engaging, accessible, and extensively illustrated, this brief, but solid introduction to modern geometry describes geometry as it is understood and used by contemporary mathematicians and theoretical scientists. Basically non-Euclidean in approach, it relates geometry to familiar ideas from analytic geometry, staying firmly in the Cartesian plane. It uses the principle geometric concept of congruence or geometric transformation--introducing and using the Erlanger Program explicitly throughout. It features significant modern applications of geometry--e.g., the geometry of relativity, symmetry, art and crystallography, finite geometry and computation. Covers a full range of topics from plane geometry, projective geometry, solid geometry, discrete geometry, and axiom systems. For anyone interested in an introduction to geometry used by contemporary mathematicians and theoretical scientists.

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Contents

Introduction
1
PLANE GEOMETRY
51
PROJECTIVE GEOMETRY
138
Copyright

13 other sections not shown

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About the author (2001)

Michael Henle is a professor of mathematics at Oberlin College. He is the author of several books including "Which Numbers are Real?" published by the MAA in 2012. Trained as a functional analysis, he also writes on combinatorial subjects and geometry. He is serving as editor of The College Mathematics Journal through to 2013.

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