Trigonometric Delights

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Princeton University Press, 7 d’abr. 2020 - 256 pàgines

A fun, entertaining exploration of the ideas and people behind the growth of trigonometry

Trigonometry has a reputation as a dry, difficult branch of mathematics, a glorified form of geometry complicated by tedious computation. In Trigonometric Delights, Eli Maor dispels this view. Rejecting the usual descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. From the proto-trigonometry of the Egyptian pyramid builders and the first true trigonometry developed by Greek astronomers, to the epicycles and hypocycles of the toy Spirograph, Maor presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social growth. A tapestry of stories, curiosities, insights, and illustrations, Trigonometric Delights irrevocably changes how we see this essential mathematical discipline.

 

Pàgines seleccionades

Continguts

Ahmes the Scribe 1650 BC
3
Recreational Mathematics in Ancient Egypt
11
1 Angles
15
2 Chords
20
The Earliest Trigonometric Table?
30
3 Six Functions Come of Age
35
Johann Müller alias Regiomontanus
41
4 Trigonometry Becomes Analytic
50
9 Had Zeno Only Known This
117
10 sin xx
129
11 A Remarkable Formula
139
Jules Lissajous and His Figures
145
12 tan x
150
13 A Mapmakers Paradise
165
Imaginary Trigonometry
181
The Master Rigorist
192

François Viète
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
15 Fouriers Theorem
198
Appendixes
211
Bibliography
225
Credits for Illustrations
229
Index
231
Copyright

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Frases i termes més freqüents

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Sobre l'autor (2020)

Eli Maor is a former professor of the history of mathematics at Loyola University Chicago. His books include the internationally acclaimed To Infinity and Beyond, e: The Story of a Number, The Pythagorean Theorem: A 4,000-Year History, and Music by the Numbers (all Princeton).

Informació bibliogràfica

TítolTrigonometric Delights
Volum 67 de Princeton Science Library
AutorEli Maor
Edicióil·lustrada
EditorPrinceton University Press, 2020
ISBN0691202206, 9780691202204
Nre. de pàgines256 pàgines
  
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