000			01735nam a2200241Ia 4500
001			38313
003			IN-BdCUP
005			20230421155028.0
008			230413s2023 000 0 eng
020			_a9814678295
040			_beng _cIN-BdCUP
041			_aeng
082			_a516.9 _bSTA
100			_aStakhov, Aleksei Petrovich
245		4	_aThe golden Non-Euclidean Geometry : _bHilbert's Fourth Problem, Golden Dynamical Systems, and the Fine-structure Constant / _cStakhov, Aleksei Petrovich ; Aranson, Samuil & Olsen, Scott Anthony
260			_aSingapore : _bWorld scietific publishing co. pte. ltd., _c2016.
300			_a284 p. ; _c20 cm.
520			_aThis 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.
650			_aGeometry, Non-Euclidean
700			_aAranson, Samuil
700			_aOlsen, Scott Anthony
942			_2ddc _cBK
999			_c29381 _d29381