Trigonometric delights (eBook, 2013) [WorldCat.org]
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Trigonometric delights

Author: Eli Maor
Publisher: Princeton, N.J. : Princeton University Press, 2013
Series: Princeton science library
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Additional Physical Format: Print version:
Trigonometric delights.
Princeton, N.J. : Princeton University Press, 2013
(DLC) 2012950191
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Eli Maor
ISBN: 9780691158204 0691158207 9781400846757 1400846757
OCLC Number: 907619783
Description: 1 online resource (xiv, 236 p.) illustrations
Contents: Preface xi Prologue: Ahmes the Scribe, 1650 B.C. 3 Recreational Mathematics in Ancient Egypt 11 1.Angles 15 2.Chords 20 Plimpton 322: The Earliest Trigonometric Table? 30 3.Six Functions Come of Age 35 Johann Muller, alias Regiomontanus 41 4.Trigonometry Becomes Analytic 50 Francois Viete 56 5.Measuring Heaven and Earth 63 Abraham De Moivre 80 6.Two Theorems from Geometry 87 7.Epicycloids and Hypocycloids 95 Maria Agnesi and Her "Witch" 108 8.Variations on a Theme by Gauss 112 9.Had Zeno Only Known This! 117 10.(sin x)/x 129 11.A Remarkable Formula 139 Jules Lissajous and His Figures 145 12.tan x 150 13.A Mapmaker's Paradise 165 14.sin x = 2: Imaginary Trigonometry 181 Edmund Landau: The Master Rigorist 192 15. Fourier's Theorem 198 Appendixes 211 1.Let's Revive an Old Idea 213 2.Barrow's Integration of sec o 218 3.Some Trigonometric Gems 220 4.Some Special Values of sin alpha 222 Bibliography 225 Credits for Illustrations 229 Index 231
Series Title: Princeton science library
Responsibility: Eli Maor

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"Maor's presentation of the historical development of the concepts and results deepens one's appreciation of them, and his discussion of the personalities involved and their politics and religions Read more...

 
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