Calculus and Its Origins
Part of Spectrum
- Author: David Perkins, Luzerne County Community College, Pennsylvania
- Date Published: April 2012
- availability: Temporarily unavailable - available from TBC
- format: Hardback
- isbn: 9780883855751
Hardback
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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.
Read more- Exercises introduce further historical figures and their results and make it possible for a professor to use this book in class
- Knowledge of calculus is not presupposed: this book is accessible to those with a basic knowledge of algebra and geometry
- Covers the story beginning in ancient Greece and climaxing with the discovery of calculus
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×Product details
- Date Published: April 2012
- format: Hardback
- isbn: 9780883855751
- length: 180 pages
- dimensions: 260 x 182 x 14 mm
- weight: 0.46kg
- availability: Temporarily unavailable - available from TBC
Table of Contents
Preface
1. The Ancients
2. East of Greece
3. Motion
4. Indivisibles
5. Quadrature
6. The Fundamental Theorem of Calculus
7. Notation
8. Chords
9. Zero over zero
10. Rigor.
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