The Pythagorean Theorem: A 4,000-Year HistoryAn exploration of one of the most celebrated and well-known theorems in mathematics |
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... Proposition 47 in Book I of Euclid's Elements. Its characteristic figure (fig. P1), known in some traditions as “the windmill” and in others as “the bride's chair,” has been proposed as a cosmic identity card with which we might ...
... Proposition (1927).3 Loomis claimed that in the Middle Ages, it was required that a student taking his Master's degree in mathematics offer a new and original proof of the Pythagorean theorem; this, he claimed, had spurred students and ...
... proposition that had kept mathematicians busy for the past 350 years. The mathematician at the center of the excitement was Dr. Andrew Wiles, a native of Cambridge, England, and a professor at Princeton University in New Jersey. He made ...
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Contents
1 | |
4 | |
2 Pythagoras | 17 |
3 Euclids Elements | 32 |
4 Archimedes | 50 |
5 Translators and Commentators 5001500 CE | 57 |
6 François Viète Makes History | 76 |
7 From the Infinite to the Infinitesimal | 82 |
12 From Flat Space to Curved Spacetime | 168 |
13 Prelude to Relativity | 181 |
14 From Bern to Berlin 19051915 | 188 |
15 But Is It Universal? | 201 |
16 Afterthoughts | 208 |
Samos 2005 | 213 |
Appendixes | 219 |
Chronology | 245 |
8 371 Proofs and Then Some | 98 |
9 A Theme and Variations | 123 |
10 Strange Coordinates | 145 |
11 Notation Notation Notation | 158 |
Bibliography | 251 |
Illustrations Credits | 255 |
Index | 257 |