Projective Geometry and Projective Metrics

Herbert Busemann,Paul Joseph Kelly

Format
Paperback
Publisher
Literary Licensing, LLC
Country
United States
Published
1 March 2012
Pages
340
ISBN
9781258247928

Projective Geometry and Projective Metrics

Herbert Busemann,Paul Joseph Kelly

The basic results and methods of projective and non-Euclidean geometry are indispensable for the geometer, and this book–different in content, methods, and point of view from traditional texts–attempts to emphasize that fact. Results of special theorems are discussed in detail only when they are needed to develop a feeling for the subject or when they illustrate a general method. On the other hand, an unusual amount of space is devoted to the discussion of the fundamental concepts of distance, motion, area, and perpendicularity.Topics include the projective plane, polarities and conic sections, affine geometry, projective metrics, and non-Euclidean and spatial geometry. Numerous figures appear throughout the text, which concludes with a bibliography and index.

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