Timeline for Famous mathematical quotes
Current License: CC BY-SA 2.5
3 events
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Mar 26, 2010 at 18:35 | comment | added | John D. Cook | Here's a simple example. What is the radius of convergence for the power series of 1/(x^2 + 1) centered at 0? Looking only at the real line there's no apparent reason for the radius to be only 1. But in the complex plane, you can see that the radius is 1 because that's the distance from the center to the singularity at i. Another example would be using contour integration to compute integrals over the real line. | |
Mar 26, 2010 at 3:43 | comment | added | Sunni | I saw this quote first at Klein's <Mathematical Thought from Ancient to Modern Times>. However, evidence I have come across is insufficient to show this (shortest path). It is a good question to convince people like me the truth of Sir Hadamard's assertion. | |
Nov 29, 2009 at 20:26 | history | answered | John D. Cook | CC BY-SA 2.5 |