Mathematics of Harmony as a New Interdisciplinary Direction and “Golden” Paradigm of Modern Science. Alexey Stakhov

Mathematics of Harmony as a New Interdisciplinary Direction and “Golden” Paradigm of Modern Science

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Mathematics of Harmonyas a New Interdisciplinary Direction and “Golden” Paradigm of Modern Science

Series on Knots and Everything — Vol. 69

      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

UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE

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.

All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the publisher.

For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher.

For any available supplementary material, please visit

https://www.worldscientific.com/worldscibooks/10.1142/11645#t=suppl

Desk Editor: Liu Yumeng

Typeset by Stallion Press

Email: [email protected]

Printed in Singapore

In fond memory of Yuri Alekseevich MitropolskiyandAlexander Andreevich Volkov

Preface to the Three-Volume Book

Introduction

About the Author

Acknowledgments

Chapter 1.Mathematics of Harmony as a Prerequisite for the “Golden” Revolution in Mathematics and Computer Science