The Pythagorean Theorem: A 4,000-Year HistoryAn exploration of one of the most celebrated and well-known theorems in mathematics |
From inside the book
Results 1-5 of 36
... called because it is listed as 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 ...
... called beautiful. A paramount criterion is symmetry. Consider, for example, the three altitudes of a triangle: they always meet at one point (as do the medians and the angle bisectors). This statement has a certain elegance to it, with ...
... called the Pythagorean identities. The same is true in almost every branch of mathematics, from number theory and algebra to calculus and probability: in all of them, the Pythagorean theorem reigns supreme. ❖ ❖ ❖ In this book I have ...
... called elliptic curves. Subsequent work, particularly by Dr. Gerhard Frey of the University of the Saarland in Germany and Dr. Kenneth Ribet of the University of California at Berkeley, showed a clear connection between Taniyama's ...
You have reached your viewing limit for this book.
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 |