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Synopsis
This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert. Appropriate for liberal arts students, prospective high school teachers, math. majors, and even bright high school students. The first eight chapters are mostly accessible to any educated reader; the last two chapters and the two appendices contain more advanced material, such as the classification of motions, hyperbolic trigonometry, hyperbolic constructions, classification of Hilbert planes and an introduction to Riemannian geometry.
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About the Author
MARVIN JAY GREENBERG, University of California, Santa Cruz, USA.
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- PublisherW. H. Freeman
- Publication date2007
- ISBN 10 0716799480
- ISBN 13 9780716799481
- BindingHardcover
- LanguageEnglish
- Edition number4
- Number of pages637
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Euclidean and Non-Euclidean Geometries: Development and History
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Euclidean and Non-Euclidean Geometries: Development and History
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W. H. Freeman (edition 4th), 2007
ISBN 10: 0716799480
ISBN 13: 9780716799481
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