Edward Kasner
| Edward Kasner | |
|---|---|
Photograph of Kasner dated 1907.
|
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| Born |
April 2, 1878 New York City, United States |
| Died |
January 7, 1955 (aged 76) New York City |
| Nationality | American |
| Fields | Mathematics |
| Institutions | Columbia University |
| Alma mater | Columbia University (MA PhD) |
| Doctoral advisor |
Felix Klein David Hilbert |
| Doctoral students | John De Cicco Rufus Isaacs Joseph Ritt Jesse Douglas Edna Kramer |
| Known for |
Kasner metric Kasner polygon "googol" |
Edward Kasner (April 2, 1878 – January 7, 1955) was a prominent American mathematician who was appointed Tutor on Mathematics in the Columbia University Mathematics Department. Kasner was the first Jew appointed to a faculty position in the sciences at Columbia University. Subsequently, he became an adjunct professor in 1906, and a full professor in 1910, at the university. Differential geometry was his main field of study. In addition to introducing the term "googol", he is known also for the Kasner metric and the Kasner polygon.
Kasner's PhD dissertation was titled The Invariant Theory of the Inversion Group: Geometry upon a Quadric Surface; it was published by the American Mathematical Society in 1900 in their Transactions.
Kasner is perhaps best remembered today for introducing the term "googol." In order to pique the interest of children, Kasner sought a name for a very large number: one followed by a hundred zeros. On a walk in the New Jersey Palisades with his nephews, Milton (1911-1981) and Edwin Sirotta, Kasner asked for their ideas. Nine-year-old Milton suggested "googol".
In 1940, with James R. Newman, Kasner co-wrote a non-technical book surveying the field of mathematics, called Mathematics and the Imagination (). It was in this book that the term "googol" was first introduced:
Words of wisdom are spoken by children at least as often as by scientists. The name "googol" was invented by a child (Dr. Kasner's nine-year-old nephew) who was asked to think up a name for a very big number, namely, 1 with a hundred zeros after it. He was very certain that this number was not infinite, and therefore equally certain that it had to have a name. At the same time that he suggested "googol" he gave a name for a still larger number: "Googolplex." A googolplex is much larger than a googol, but is still finite, as the inventor of the name was quick to point out. It was suggested that a googolplex should be 1, followed by writing zeros until you get tired. This is a description of what would happen if one actually tried to write a googolplex, but different people get tired at different times and it would never do to have Carnera a better mathematician than Dr. Einstein, simply because he had more endurance. The googolplex then, is a specific finite number, with so many zeros after the 1 that the number is a googol. A googolplex is much bigger than a googol. You will get some idea of the size of this very large but finite number from the fact that there would not be enough room to write it, if you went to the farthest star, touring all the nebulae and putting down zeros every inch of the way.
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