Author: Stakhov Alexey Et Al
Published: 06/09/2016 - 308 pp Pages
Imprint / Publisher: World Scientific / World Scientific
Series: SERIES ON ANALYSIS, APPLICATIONS AND COMPUTATION
Book Type: Monograph
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.
Proclus' Hypothesis and Euclid's Elements; "Golden" Hyperbolic Fibonacci and Lucas Functions and Bodnar's Geometry of Phyllotaxis; The Mathematics of Harmony and General Theory of the Recursive Hyperbolic Functions Based on the "Golden," "Silver" and other "Metallic" Proportions; Hyperbolic and Spherical Solution of Hilbert's Fourth Problem: The Way to the Recursive and "Self-Similar" Non-Euclidean Geometries; The "Golden" Qualitative Theory of Dynamical Systems Based on the Mathematics of Harmony
Int'L Club Of The Golden Section, Canada & Academy Of Trinitarism, Russia