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Phi, Pi, e, and i

Name: Phi, Pi, e, and i
Brand: American Mathematical Society
SKU: 19886870
Price: 80.69 EUR
Availability: InStock
Author: David Perkins
ISBN: 9781470447991

David Perkins

Language

English

Book Paperback

Libristo code: 19886870

Publishers American Mathematical Society, July 2019

Certain constants occupy precise balancing points in the cosmos of number, like habitable planets sp... Full description

Libristo code: 19886870

197 b

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Certain constants occupy precise balancing points in the cosmos of number, like habitable planets sprinkled throughout our galaxy at just the right distances from their suns. This book introduces and connects four of these constants ( , ,e, and i), each of which has recently been the individual subject of historical and mathematical expositions. But here we discuss their properties, as a group, at a level appropriate for an audience armed only with the tools of elementary calculus. This material offers an excellent excuse to display the power of calculus to reveal elegant truths that are not often seen in college classes. These truths are described here via the work of such luminaries as Nilakantha, Liu Hui, Hemachandra, Khayyam, Newton, Wallis, and Euler.