Numeral Systems With Irrational Bases For Mission-critical Applications

£83.00

Numeral Systems With Irrational Bases For Mission-critical Applications

Information theory Number theory Computer science Information architecture

Author: Alexey Stakhov

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Collection: Series On Knots And Everything

Language: English

Published by: World Scientific

Published on: 17th October 2017

Format: LCP-protected ePub

Size: 284 pages

ISBN: 9789813228634


Introduction

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.

Content and Focus

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.

Historical Hypotheses

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).

Intended Audience

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.

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