"Golden" Non-euclidean Geometry, The: Hilbert's Fourth Problem, "Golden" Dynamical Systems, And The Fine-structure Constant
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"Golden" Qualitative Theory of Dynamical Systems
"Metallic" Irrational Foliations
A01=Alexey Stakhov
A01=Samuil Aranson
AcAEURAoeGoldenAcAEURA? Qualitative Theory of Dynamical Systems
AcAEURAoeMetallicAcAEURA? Irrational Foliations
Anosov's Automorphisms
Author_Alexey Stakhov
Author_Samuil Aranson
Binet's Formulas
Bodnar's Geometry
Category=PBML
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euclid's Elements
Fibonacci "lambda"-Numbers
Fibonacci AcAEURAoelambdaAcAEURA?-Numbers
Fibonacci and Lucas Numbers
Fibonacci Special Theory of Relativity
Fibonacci “lambdaâ€Â-Numbers
Fibonacci-Lorentz Transformations
FibonacciAcAEURA"Lorentz Transformations
Fibonacci–Lorentz Transformations
Gazale's Formulas
Golden Ratio
Hilbert's Fourth Problem
Hyperbolic Fibonacci and Lucas "lambda"-Functions
Hyperbolic Fibonacci and Lucas AcAEURAoelambdaAcAEURA?-Functions
Hyperbolic Fibonacci and Lucas Functions
Hyperbolic Fibonacci and Lucas “lambdaâ€Â-Functions
Mathematics of Harmony
Metallic Proportions
Millennium Problems
Problem of Fine-Structure Constant
Proclus' Hypothesis
“Golden†Qualitative Theory of Dynamical Systems
“Metallic†Irrational Foliations
Product details
- ISBN 9789814678292
- Publication Date: 06 Sep 2016
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.See Press Release: Application of the mathematics of harmony - Golden non-Euclidean geometry in modern math
