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Calculus and Its Origins: Spectrum

Autor David Perkins
en Limba Engleză Hardback – 11 apr 2012
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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Specificații

ISBN-13: 9780883855751
ISBN-10: 0883855755
Pagini: 180
Ilustrații: illustrations
Dimensiuni: 182 x 260 x 14 mm
Greutate: 0 kg
Editura: The Mathematical Association of America
Colecția The Mathematical Association of America
Seria Spectrum

Locul publicării:Washington DC, United States

Notă biografică


Descriere

This book tells the story of how calculus came to be. It is accessible to anyone with a basic knowledge of geometry and algebra: pre-existing knowledge of calculus is not required. Exercises are included, which makes it ideal for use in the classroom.