Pi and Phi - Warren, James R
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In this selective conspectus mathematician and essayist James Warren takes an in-depth look at the Ludolphine Constant, p, and its relationships ( if any ) with the Phidian Ratio, F, sometimes called the Golden Section. Simply-defined and deeply-mysterious the two numbers' many go-betweens include algebraic, trigonometric and hyperbolic functions and yet there is no simple finite equation relating them, though many such structures come very close! The quality of estimators is part of the underlying science of this intricate liaison. Both numbers share the protean interpretabilities of great…mehr

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Produktbeschreibung
In this selective conspectus mathematician and essayist James Warren takes an in-depth look at the Ludolphine Constant, p, and its relationships ( if any ) with the Phidian Ratio, F, sometimes called the Golden Section. Simply-defined and deeply-mysterious the two numbers' many go-betweens include algebraic, trigonometric and hyperbolic functions and yet there is no simple finite equation relating them, though many such structures come very close! The quality of estimators is part of the underlying science of this intricate liaison. Both numbers share the protean interpretabilities of great art and literature, and yet also seem to reflect the realities of growth in the physical and biological worlds. If you read this book and then understand the relationship entirely, then I have not done my job. This corrected and extended Second Edition continues the examination of the Pi-Phi relationship until 2023.
Autorenporträt
James R Warren was born in Cumberland, England in 1952.Educated at Ware Secondary Modern School and the Aberdeen College of Commerce, Dr Warren is a graduate of Manchester, Strathclyde and Birmingham City Universities and was for twenty years a Senior Lecturer in Information Technology and Quantitative Methods.James Warren is a former Fellow of the Geological Society of London, and a past Member of The Institution of Water Engineers and Scientists, the Institute of Electrical and Electronic Engineers and the Association for Computing Machinery.James lives with his wife Jana at Bloxwich, England.