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About this product
- DescriptionThere are many technical and popular accounts, both in Russian and in other languages, of the n-Euclidean geometry of Lobachevsky and Bolyai, a few of which are listed in the Bibliography. This geometry, also called hyperbolic geometry, is part of the required subject matter of many mathematics departments in universities and teachers' colleges-a reflec- tion of the view that familiarity with the elements of hyperbolic geometry is a useful part of the background of future high school teachers. Much attention is paid to hyperbolic geometry by school mathematics clubs. Some mathematicians and educators concerned with reform of the high school curriculum believe that the required part of the curriculum should include elements of hyperbolic geometry, and that the optional part of the curriculum should include a topic related to hyperbolic geometry. I The broad interest in hyperbolic geometry is t surprising. This interest has little to do with mathematical and scientific applications of hyperbolic geometry, since the applications (for instance, in the theory of automorphic functions) are rather specialized, and are likely to be encountered by very few of the many students who conscientiously study (and then present to examiners) the definition of parallels in hyperbolic geometry and the special features of configurations of lines in the hyperbolic plane. The principal reason for the interest in hyperbolic geometry is the important fact of n-uniqueness of geometry; of the existence of many geometric systems.
- Author(s)I. M. Yaglom
- PublisherSpringer-Verlag New York Inc.
- Date of Publication28/02/1979
- Series TitleHeidelberg Science Library
- Place of PublicationNew York, NY
- Country of PublicationUnited States
- ImprintSpringer-Verlag New York Inc.
- Content Notebiography
- Weight510 g
- Width155 mm
- Height235 mm
- Spine18 mm
- Translated byA. Shenitzer
- Edition StatementSoftcover reprint of the original 1st ed. 1979
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