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Titlebook: A Simple Non-Euclidean Geometry and Its Physical Basis; An Elementary Accoun Basil Gordon Textbook 1979 Springer-Verlag New York Inc. 1979

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期刊全稱A Simple Non-Euclidean Geometry and Its Physical Basis
期刊簡稱An Elementary Accoun
影響因子2023Basil Gordon
視頻videohttp://file.papertrans.cn/143/142190/142190.mp4
學(xué)科分類Heidelberg Science Library
圖書封面Titlebook: A Simple Non-Euclidean Geometry and Its Physical Basis; An Elementary Accoun Basil Gordon Textbook 1979 Springer-Verlag New York Inc. 1979
影響因子There are many technical and popular accounts, both in Russian and in other languages, of the non-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 not 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 consc
Pindex Textbook 1979
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Methoden und Praxis der Altlastenerkundungll be interested solely in those properties of figures in the plane . that are invariant under the transformations (1) (or, equivalently, under the ..and the ..cf. p. 25 above);it is only these properties of figures that have geometric significance in this unusual geometry. Also, we shall bear in mi
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Heidelberg Science Libraryhttp://image.papertrans.cn/a/image/142190.jpg
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https://doi.org/10.1007/978-3-642-58488-6.. The question arises, . properties of figures are of interest to the geometer? To answer this question, we can use two different approaches. Both lead to the same conclusions. Both will be of use to us in what follows, and so deserve our attention.
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B. Wohlrab,A. Meuser,V. SokollekIn Section 2 of the Introduction we formulated the Galilean principle of relativity as follows. . (cf. p. 18). This implies that .. When we deduced the formulas describing a Galilean transformation we used this principle and, implicitly, another fundamental condition which we propose to discuss in detail.
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