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 | | | "You're alive. Do something. The directive in life, the moral imperative was so uncomplicated. It could be expressed in single words, not complete sentences. It sounded like this: Look. Listen. Choose. Act."
- Barbara Hall, A Summons to New Orleans, 2000 | | | |
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 | | | |  | | | Product Details
Format: Hardcover, 248 pages
Publisher: Princeton University Press
ISBN: 0691057540
Release Date: Jan 4, 2002
| |  | | | From The Publisher Trigonometry has always been the black sheep of mathematics. Too advanced to be part of "elementary math," yet too elementary for the higher branches of the profession, it has been looked upon as a glorified form of geometry, complicated by tedious computation. Nothing could be further from the truth. Uniquely positioned as a meeting point between pure and applied mathematics, its rich history shows how different branches of science - among them geography, astronomy, physics, and even music - have influenced one another. In this book, Eli Maor rejects the usual arid descriptions of the sine and cosine functions and their trigonometric relatives. He brings the subject to life in a compelling blend of mathematics, history, and biography. From the "proto-trigonometry" of the Egyptian pyramid builders to Renaissance Europe's quest for more accurate artillery; from the earliest known trigonometric table, carved on a clay tablet by an unknown Babylonian scholar, to Fourier's famous theorem, which finally explained the source of musical harmony, here is a rich tapestry of almost four thousand years of trigonometric history.
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 | | | | | Be the first to rate this book! Number of Reviews: 0 | | | | | | The Reader's Catalog A dry, boring, and glorified form of geometry? A math genius brings trigonometry to the masses
| |  | | | | Preface | | | 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 Regiomonianus | 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 [phi] | 218 | | 3 | Some Trigonometric Gems | 220 | | 4 | Some Special Values of sin [alpha] | 222 | | Bibliography | 225 | | Credits for Illustrations | 229 | | Index | 231 |
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| | | | | | Keywords Trigonometry, Trigonometry, Trigonometry, Mathematics, History & Philosophy
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