Mathematics of Harmony as a New Interdisciplinary Direction and “Golden” Paradigm of Modern Science
Volume 3
The “Golden” Paradigm of Modern Science: Prerequisite for the “Golden” Revolution in Mathematics, Computer Science, and Theoretical Natural Sciences
Alexey Stakhov
International Club of the Golden Section, Canada & Academy of Trinitarism, Russia
Published by
World Scientific Publishing Co. Pte. Ltd.
5 Toh Tuck Link, Singapore 596224
USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601
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Library of Congress Cataloging-in-Publication Data
Names: Stakhov, A. P. (Alekseĭ Petrovich), author.
Title: Mathematics of harmony as a new interdisciplinary direction and
“golden” paradigm of modern science / Alexey Stakhov.
Description: Hackensack, New Jersey : World Scientific, [2020] | Series: Series on knots and
everything, 0219-9769 ; vol. 69 | Includes bibliographical references. | Contents:
Volume 1. The golden section, Fibonacci numbers, Pascal triangle, and Platonic solids --
Volume 2. Algorithmic measurement theory, Fibonacci and golden arithmetic and
ternary mirror-symmetrical arithmetic -- Volume 3. The “golden” paradigm of modern science.
Identifiers: LCCN 2020010957 | ISBN 9789811207105 (v. 1 ; hardcover) |
ISBN 9789811213465 (v. 2 ; hardcover) | ISBN 9789811206375 (v. 1 ; ebook) |
ISBN 9789811213496 (v. 3 ; hardcover) | ISBN 9789811206382 (v. 1 ; ebook other) |
ISBN 9789811213472 (v. 2 ; ebook) | ISBN 9789811213489 (v. 2 ; ebook other) |
ISBN 9789811213502 (v. 3 ; ebook) | ISBN 9789811213519 (v. 3 ; ebook other)
Subjects: LCSH: Fibonacci numbers. | Golden section. | Mathematics--History. | Science--Mathematics.
Classification: LCC QA246.5 .S732 2020 | DDC 512.7/2--dc23
LC record available at https://lccn.loc.gov/2020010957
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
Copyright © 2021 by World Scientific Publishing Co. Pte. Ltd.
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Desk Editor: Liu Yumeng
Typeset by Stallion Press
Email: [email protected]
Printed in Singapore
In fond memory of Yuri Alekseevich MitropolskiyandAlexander Andreevich Volkov
Contents
Preface to the Three-Volume Book
1.1“Proclus Hypothesis” as a Prerequisite for the “Golden” Revolution in the History of Mathematics
1.2The Paradigm Shift to the “Golden” Elementary Number Theory
1.3Fibonacci Microprocessors as a Prerequisite for the “Golden” Paradigm Shift in Computer Science
2.1The Concept of “Elementary Functions”
2.2Conic Sections and Hyperbola
2.6Millennium Problems in Mathematics and Physics
2.7A New Look at the Binet Formulas
2.8Hyperbolic Fibonacci and Lucas Functions
2.9Recurrent Properties of the Hyperbolic Fibonacci and Lucas Functions
2.10Hyperbolic Properties of the Symmetric Hyperbolic Fibonacci and Lucas Functions