The Irrationals: A Story of the Numbers You Can't Count OnPrinceton University Press, 22 de jul. 2012 - 312 pàgines The first popular history of irrational numbers and their discoverers, from ancient Greece to the twenty-first century |
Continguts
Introduction | 1 |
Greek Beginnings | 9 |
The Route to Germany | 52 |
Two New Irrationals | 92 |
Irrationals Old and New | 109 |
A Very Special Irrational | 137 |
From the Rational to the Transcendental | 154 |
Transcendentals | 182 |
One Question Three Answers | 235 |
Does Irrationality Matter? | 252 |
The Spiral of Theodorus | 272 |
Rational Parameterizations of the Circle | 278 |
Two Properties of Continued Fractions | 281 |
Finding the Tomb of Roger Apéry | 286 |
Equivalence Relations | 289 |
The Mean Value Theorem | 294 |
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