现货Golden Non-Euclidean Geometry, The: Hilbert's Fourth Problem, Golden Dynamical Systems, and the Fine-Structure Constant[9789814678292]

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作者Stakhov, Alexey ; Aranson, Samuil

出版社World Scientific Publishing Company

ISBN9789814678292

出版时间2016-09

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纸张其他

页数308页

正文语种英语

上书时间2023-08-17

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商品描述: This unique book overturns our ideas about non-Euclidean geometry and explains the role of the "golden ratio" in Euclids Elements. It highlights a new view on Euclids Elements and the history of mathematics based on Proclus hypothesis. It describes a general theory of "recursive" hyperbolic functions based on the "golden, " silver, " and other "metallic" proportions. The book contains an original solution of Hilberts Fourth Problem for hyperbolic and spherical geometries, and puts forward a problem searching for new hyperbolic and spherical worlds of nature based on this solution. For the first time, the book describes the "golden" qualitative theory of dynamical systems based on the mathematics of harmony. It is intended for a wide range of readers, who are interested in the history of mathematics, non-Euclidean geometry, Hilberts mathematical problems and dynamical systems.

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