Calculus and Its Origins

David Perkins

doi:10.5948/UPO9781614445081

Calculus and Its Origins is primarily a collection of results that show how calculus came to be, beginning in ancient Greece and climaxing with the discovery of calculus. Other books have traveled these paths, but they presuppose knowledge of calculus. This book requires only a basic knowledge of high school geometry and algebra. Exercises introduce further historical figures and their results, and make it possible for a professor to use this book in class.

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Calculus and Its Origins

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Contents

Frontmatter
pp i-viii

Preface
pp ix-xii

Contents
pp xiii-xiv

1 - The Ancients
pp 1-14

2 - East of Greece
pp 15-28

3 - Curves
pp 29-42

4 - Indivisibles
pp 43-56

5 - Quadrature
pp 57-76

6 - The Fundamental Theorem of Calculus
pp 77-94

7 - Notation
pp 95-112

8 - Chords
pp 113-126

9 - Zero over zero
pp 127-140

10 - Rigor
pp 141-156

References
pp 157-166

Index
pp 167-170

About the Author
pp 165-165

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