The "Golden" Non-Euclidean Geometry PDF ePub eBook

Books Info:

The 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.

About Alexey Stakhov

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Details Book

Author : Alexey Stakhov
Publisher : World Scientific Publishing Co Pte Ltd
Data Published :
ISBN : 9814678295
EAN : 9789814678292
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 250 pages
Age + : 18 years
Language : English
Rating :

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    . 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 m