Title: "Golden" Non-euclidean Geometry, The: Hilbert*s Fourth Problem, "Golden" Dynamical Systems, And The Fine-structure Constant: 7
Publisher: World Scientific Publishing Company
Publication Date: 2016
Language: English
ISBN 10: 9814678295
ISBN 13: 9789814678292
Binding: Hardcover
Condition: Brand New

About this title

Synopsis

This unique book overturns our ideas about non-Euclidean geometry and the fine-structure constant, and attempts to solve long-standing mathematical problems. It describes a general theory of 'recursive' hyperbolic functions based on the 'Mathematics of Harmony, ' and the 'golden, ' 'silver, ' and other 'metallic' proportions. Then, these theories are used to derive an original solution to Hilbert's Fourth Problem for hyperbolic and spherical geometries. On this journey, the book describes the 'golden' qualitative theory of dynamical systems based on 'metallic' proportions. Finally, it presents a solution to a Millennium Problem by developing the Fibonacci special theory of relativity as an original physical-mathematical solution for the fine-structure constant. It is intended for a wide audience who are interested in the history of mathematics, non-Euclidean geometry, Hilbert's mathematical problems, dynamical systems, and Millennium Problems.See Press Release: Application of the mathematics of harmony - Golden non-Euclidean geometry in modern math

From the Back Cover

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.

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