Год выпуска: 2014 Автор: Alexey Stakhov and Samuil Aranson Издательство: LAP Lambert Academic Publishing Страниц: 244 ISBN: 9783659528033
Описание
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...
