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*e ^{ix}*: “The Most Famous of All Formulas”

*There is a famous formula—perhaps the most compact and famous of all formulas—developed by Euler from a discovery of De Moivre: e ^{iπ} + 1 = 0…. It appeals equally to the mystic, the scientist, the philosopher, the mathematician*.—EDWARD KASNER AND JAMES NEWMAN,

If we compared the Bernoullis to the Bach family, then Leonhard Euler (1707–1783) is unquestionably the Mozart of mathematics, a man whose immense output—not yet published in full—is estimated to fill at least seventy volumes. Euler left hardly an area of mathematics untouched, putting his mark on such diverse fields as analysis, number theory, mechanics and hydrodynamics, cartography, topology, and the theory ...

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