|
Showing 1 - 5 of
5 matches in All Departments
This volume is the result of the author's many-years of research in
this field. These results were presented in the author's two books,
Introduction to the Algorithmic Measurement Theory (Moscow, Soviet
Radio, 1977), and Codes of the Golden Proportion (Moscow, Radio and
Communications, 1984), which had not been translated into English
and are therefore not known to English-speaking audience. This
volume sets forth new informational and arithmetical fundamentals
of computer and measurement systems based on Fibonacci p-codes and
codes of the golden p-proportions, and also on Bergman's system and
'golden' ternary mirror-symmetrical arithmetic. The book presents
some new historical hypotheses concerning the origin of the
Egyptian calendar and the Babylonian numeral system with base 60
(dodecahedral hypothesis), as well as about the origin of the
Mayan's calendar and their numeral system with base 20 (icosahedral
hypothesis). The book is intended for the college and university
level. The book will also be of interest to all researchers, who
use the golden ratio and Fibonacci numbers in their subject areas,
and to all readers who are interested to the history of
mathematics.
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
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.
Volume III is the third 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.
Volume II is the second 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.
|
You may like...
Gloria
Sam Smith
CD
R238
R195
Discovery Miles 1 950
|