What is it that makes Euler's identity, e]iPi + 1 = 0, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most ...

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The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

IN the published correspondence of Euler there is a note from him to Goldbach, or, the other way, from Goldbach to Euler, in which a very wonderful theorem is stated which has never been proved by ...

This is a preview. Log in through your library . Abstract This paper makes three related points useful in teaching first-year graduate production theory. First, the local applicability of the ...

Jonathan Borwein (Jon) receives funding from the Australian Research Council. Often described as “the most beautiful formula in mathematics”, Euler seems never to have actually written it down – ...

WHILE Paul Nahin is not the first to proclaim the power and beauty of mathematics, few have alluded to the “erotic connection between mathematical insight and sexual orgasm”. A stretch too far, ...