Calculus and Its Origins (BOK)

David Perkins

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Calculus answers questions that had been explored for centuries before calculus was born. Calculus and Its Origins begins with these ancient questions and details the remarkable story of how subsequent scholars wove these inquiries into a unified theory. This book does not presuppose knowledge of calculus, it requires only a basic knowledge of geometry and algebra (similar triangles, polynomials, factoring). Inside you will find the accounts of how Archimedes discovered the area of a parabolic segment, ibn Al-Haytham calculated the volume of a revolved area, Jyesthadeva explained the infinite series for sine and cosine, Wallis deduced the link between hyperbolas and logarithms, Newton generalized the binomial theorem, Leibniz discovered integration by parts, and much more. Each chapter ends with further results, in the form of exercises, by such luminaries as Pascal, Maclaurin, Barrow, Cauchy and Euler.

Produktfakta

Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2012 Forfatter David Perkins
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9780883855751
Antall sider 180 Dimensjoner 17,4cm x 24,7cm x 1,4cm
Vekt 460 gram Leverandør Bertram Trading Ltd
Emner og form History of mathematics, Calculus & mathematical analysis

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