Trigonometric DelightsEli Maor
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Frontmatter
Preface
Prologue: Ahmes the Scribe, 1650 B.C.
A. Recreational Mathematics in Ancient Egypt
1. Angles
2. Chords
B. Plimpton 322: The Earliest Trigonometric Table
3. Six Functions Come of Age
C. Johann Muller alias Regiomonianus
4. Trigonometry Becomes Analytic
D. Francois Viete
5. Measuring Heaven and Earth
E. Abraham De Moivre
6. Two Theorems from Geometry
7. Epicycloids and Hypocycloids
F. Maria Agnesi and Her "Witch"
8. Variations on a Theme by Gauss
9. Had Zeno Only Known This!
10. (sin x) / x
11. A Remarkable Formula
G. Jules Lissajous and His Figures
12. tan x
13. A Mapmaker's Paradise
14. sin x = 2: Imaginary Trigonometry
H. Edmund Landau: The Master Rigorist
15. Fourier's Theorem
Appendixes
1. Let's Revive an Old Idea
2. Barrow's Integration of sec [phi]
3. Some Trigonometric Gems
4. Some Special Values of sin [alpha]
Bibliography
Credits for Illustrations
Index
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