CALCULUS AND ITS ORIGINS
CALCULUS AND ITS ORIGINS
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Calculus and Its Origins
by David Perkins
The goal of this book is to "teach calculus as the culmination of an intellectual pursuit and place the discovery of calculus at the end." The author succeeds admirably in describing this pursuit and its culmination in such a short book. Luiz Henrique de Figueiredo, MAA Reviews
Calculus and Its Origins is an overview of calculus as an intellectual pursuit having a 2,000year history.
Author David Perkins examines the extent to which mathematicians and scholars from Egypt, Persia, and India absorbed and nourished Greek geometry, and details how the scholars wove their inquiries into a unified theory.
Chapters cover the story of Archimedes' discovery of the area of a parabolic segment; ibn AlHaytham's calculation of the volume of a revolved area; Jyesthadeva's explanation of the infinite series for sine and cosine; Wallis's deduction of the link between hyperbolas and logarithms; Newton's generalization of the binomial theorem; Leibniz's discovery of integration by partsand much more.
Each chapter also contains exercises by such mathematical luminaries as Pascal, Maclaurin, Barrow, Cauchy, and Euler.
Requiring only a basic knowledge of geometry and algebrasimilar triangles, polynomials, factoringand a willingness to treat the infinite as metaphor Calculus & Its Origins is a treasure of the human intellect, pearls strung together by mathematicians across cultures and centuries.
Read what motivated the author to write Calculus and Its Origins
 Brand name: MAA
 Author: David Perkins
 ISBN: 9780883855751
 179 pp.
 Hardcover
 2012
 Series: Spectrum
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