Книга: Alexey Stakhov and Samuil Aranson «The Mathematics of Harmony and Hilbert s Fourth Problem»

The Mathematics of Harmony and Hilbert s Fourth Problem

Производитель: "LAP Lambert Academic Publishing"

A unique book that turns our notions about Euclid s Elements and non-Euclidean geometry. Proclus hypothesis leads to the new view on the mathematics history, starting from Euclid. According to this hypothesis, Euclid s main goal, while writing the Elements, was to create a complete geometric theory of `Platonic solids, which are associated in the ancient Greek science with the Universe Harmony. Euclid s Elements is a source for the Classical Mathematics and the Mathematics of Harmony based on the golden ratio and Platonic solids. The Mathematics of Harmony, as a new interdisciplinary direction of modern science, is a reflection of the harmonic ideas by Pythagoras and Plato in modern science and mathematics. New classes of hyperbolic and spherical Fibonacci functions, based on the golden proportion and its generalization the metallic proportions, underlie the original solution of Hilbert s Fourth Problem for hyperbolic and spherical geometry. The challenge searching for... ISBN:9783659528033

Издательство: "LAP Lambert Academic Publishing" (2014)

ISBN: 9783659528033

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