Mathematics Of Harmony As A New Interdisciplinary Direction And "Golden" Paradigm Of Modern Science - Volume 1: The Golden Section, Fibonacci Numbers, Pascal Triangle, And Platonic Solids
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A01=Alexey Stakhov
Archimedean Truncated Icosahedron
Author_Alexey Stakhov
Binet's Formulas
Cassini's Formula
Category=PBH
Cheops Pyramid
Diagonal Sums Of Pascal Triangle
Egyptian Calendar
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eq_isMigrated=2
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Euclid's Elements
Fibonacci
Fibonacci Numbers
Fullerenes
Golden Section
Hoggatt
Iliev
Kolmogorov
Lobachevski
Lucas
Lucas Numbers
Pacioly
Pascal Triangle
Penrose Tiling
Platonic Solids
Proclus Hypothesis
Quasicrystals
Steinhaus' "Iron Table"
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Steinhaus' “Iron Tableâ€Â
Turing
Universe Harmony
Vieta Formulas
Vorobyov
Product details
- ISBN 9789811207105
- Publication Date: 21 May 2020
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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Volume I is the first part of the 3-volume book Mathematics of Harmony as a New Interdisciplinary Direction and "Golden" Paradigm of Modern Science. "Mathematics of Harmony" rises in its origin to the "harmonic ideas" of Pythagoras, Plato and Euclid, this 3-volume book aims to promote more deep understanding of ancient conception of the "Universe Harmony," the main conception of ancient Greek science, and implementation of this conception to modern science and education.This 3-volume book is a result of the authors' research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the "Mathematics of Harmony," a new interdisciplinary direction of modern science. This direction has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the generalized Binet's formulas), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational bases, Fibonacci computers, ternary mirror-symmetrical arithmetic).The books are intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science.
