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"Golden" non-Euclidean geometry : Hilbert's fourth problem, "golden" dynamical systems, and the fine-structure constant / Alexey Stakhov, Samuil Aranson and assisted by Scott Olsen.

By: Contributor(s): Material type: TextTextSeries: Series on analysis, applications and computation ; v 7.Publication details: Singapore : World Scientific, ©2017.Description: xxii, 284 pages : illustrations ; 24 cmISBN:
  • 9789814678292 (hardcover : alk. paper)
Other title:
  • Non-Euclidean geometry
Subject(s): DDC classification:
  • 516.9 23 St782
Contents:
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.
Summary: This unique book overturns our ideas about non-Euclidean geometry and explains the role of the "golden ratio" in Euclid's Elements.
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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.

This unique book overturns our ideas about non-Euclidean geometry and explains the role of the "golden ratio" in Euclid's Elements.

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