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"Golden" Non-Euclidean Geometry : Hilbert's Fourth Problem, "Golden "Dynamical Systems, and the

"Golden" Non-Euclidean Geometry : Hilbert's Fourth Problem, "Golden "Dynamical Systems, and the - image 1 of 1

about this item

This unique book overturns our ideas about non-Euclidean geometry and explains the role of the "golden ratio" in Euclid's Elements. It highlights a new view on Euclid's 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 Hilbert's 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, Hilbert's mathematical problems and dynamical systems.
Number of Pages: 284
Genre: Mathematics, Science
Sub-Genre: History + Philosophy, Geometry / Non-Euclidean, Mathematical Physics
Series Title: Series on Analysis, Applications and Computation
Format: Hardcover
Publisher: World Scientific Pub Co Inc
Author: Alexey Stakhov & Samuil Aranson
Language: English
Street Date: October 11, 2016
TCIN: 50240371
UPC: 9789814678292
Item Number (DPCI): 248-04-2643

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