Description
About the Authors

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.
Alexey Stakhov, a Ukrainian mathematician, who has lived in Canada since 2004. Stakhov obtained his Doctorate in Computer Science in 1972 and his Professorship in 1974. He is the author of over 500 publications and 14 books. He is also the creator of many original theories in mathematics and computer science including algorithmic measurement theory, the mathematics of harmony, codes of the golden p-proportions and holds 65 international patents.

Samuil Aranson, a Russian mathematician who lives in the USA. He is a Doctor of Physical-Mathematical Sciences (in differential equations, geometry and topology), Professor, Honored Worker of Science of Russia, and Academician of the Russian Academy of Natural Sciences. He has authored more than 200 scientific works, including monographs that were published in Russia, USA, Germany and other countries.

Authors

The "Golden" Non-Euclidean Geometry