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calculus and its origins david perkins [pdf] MathSchool

Calculus and Its Origins by David Perkins

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About this book :-
Calculus and Its Origins written by David Perkins .
This text is an overview of calculus as an intellectual pursuit having a 2,000-year 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 Al-Haytham 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 parts--and 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 algebra--similar triangles, polynomials, factoring--and 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.

Book Detail :-
Title: Calculus and Its Origins
Edition:
Author(s): David Perkins
Publisher: Cambridge University Press
Series: Spectrum
Year: 2012
Pages: 186
Type:
Language: English
ISBN: 0883855755,978-0-88385-575-1,978-1-61444-508-1
Country: US
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About Author :- David Perkins earned his doctorate in mathematics at the University of Montana. He start his career at Houghton College and taught here for ten years. Later he move to Luzerne County Community College, Pennsylvania, United States to live and work with his wife.

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Book Contents :-
Calculus and Its Origins written by David Perkins cover the following topics.
1. The Ancients
2. East of Greece
3. Curves
4. Indivisibles
5. Quadrature
6. The Fundamental Theorem of Calculus
7. Notation
8. Chords
9. Zero over zero
10. Rigor
References
Index
About the Author


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