Projective Geometry and Projective Metrics

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Projective Geometry and Projective Metrics by Herbert Busemann, Paul J. Kelly, Dover Publications
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Author: Herbert Busemann, Paul J. Kelly ISBN: 9780486154695
Publisher: Dover Publications Publication: November 14, 2012
Imprint: Dover Publications Language: English
Author: Herbert Busemann, Paul J. Kelly
ISBN: 9780486154695
Publisher: Dover Publications
Publication: November 14, 2012
Imprint: Dover Publications
Language: English
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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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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