Calculus and Its Origins

ISBN-10: 0883855755

ISBN-13: 9780883855751

Edition: 2012

Authors: David Perkins

List price: $145.00
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Description:

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.
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Book details

List price: $145.00
Copyright year: 2012
Publisher: Mathematical Association of America
Publication date: 4/12/2012
Binding: Hardcover
Pages: 180
Size: 7.25" wide x 10.25" long x 0.75" tall
Weight: 0.990
Language: English

He codirects the think tank "{Project Zero" at the Harvard Graduate School of Education & has authored books on mind, intelligence, creativity & learning.

Preface
The Ancients
East of Greece
Motion
Indivisibles
Quadrature
The Fundamental Theorem of Calculus
Notation
Chords
Zero over zero
Rigor
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