TY - BOOK AU - Stakhov,Alexey AU - Aranson,Samuil AU - Olsen,Scott TI - "Golden" non-Euclidean geometry: Hilbert's fourth problem, "golden" dynamical systems, and the fine-structure constant T2 - Series on analysis, applications and computation SN - 9789814678292 (hardcover : alk. paper) U1 - 516.9 23 PY - 2017/// CY - Singapore : PB - World Scientific KW - Non-Euclidean Geometry N1 - Includes bibliographical references; Chapter 1. The Golden Ratio, Fibonacci numbers, and the "golden" hyperbolic Fibonacci and Lucas functions -- Chapter 2. The mathematics of harmony and general theory of recursive hyperbolic functions -- Chapter 3. Hyperbolic and spherical solutions of Hilbert's fourth problem: the way to the recursive Non-Euclidean geometries -- Chapter 4. Introduction to the "golden" qualitative theory of dynamical systems based on the mathematics of harmony -- Chapter 5. The basic stages of the mathematical solution to the fine-structure constant problem as a physical millennium problem -- Appendix. From the 'golden' geometry to the multiverse N2 - This unique book overturns our ideas about non-Euclidean geometry and explains the role of the "golden ratio" in Euclid's Elements ER -