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Trigonometric Delights

 
  by Eli Maor, Eli Maor
 
 
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ZIN Product Number: 10194064

 
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By The Numbers
 Product Details

  Format: Hardcover, 248 pages
  Publisher: Princeton University Press
  ISBN: 0691057540
  Release Date: Jan 4, 2002


 
 
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 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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A dry, boring, and glorified form of geometry? A math genius brings trigonometry to the masses

 
 
Table of Contents
 
Preface
Prologue: Ahmes the Scribe, 1650 B.C.3
Recreational Mathematics in Ancient Egypt11
1Angles15
2Chords20
Plimpton 322: The Earliest Trigonometric Table?30
3Six Functions Come of Age35
Johann Muller alias Regiomonianus41
4Trigonometry Becomes Analytic50
Francois Viete56
5Measuring Heaven and Earth63
Abraham De Moivre80
6Two Theorems from Geometry87
7Epicycloids and Hypocycloids95
Maria Agnesi and Her "Witch"108
8Variations on a Theme by Gauss112
9Had Zeno Only Known This!117
10(sin x) / x129
11A Remarkable Formula139
Jules Lissajous and His Figures145
12tan x150
13A Mapmaker's Paradise165
14sin x = 2: Imaginary Trigonometry181
Edmund Landau: The Master Rigorist192
15Fourier's Theorem198
Appendixes211
1Let's Revive an Old Idea213
2Barrow's Integration of sec [phi]218
3Some Trigonometric Gems220
4Some Special Values of sin [alpha]222
Bibliography225
Credits for Illustrations229
Index231


 
 
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 Keywords
Trigonometry, Trigonometry, Trigonometry, Mathematics, History & Philosophy

 
 
 FastFind Line
Inverse Black Hole
By the Numbers
By the Numbers
Cover To Cover
Cover to Cover
Reader's Corner
Reader's Corner
Table of Contents
Table of Contents
Related Reading
Related Reading
Inverse Black Hole
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