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EULER, LEONHARD - LOGARITHMS OF NEGATIVE NUMBERS.

De la Controverse entre Mrs. Leibnitz & Bernouilli sur les Logarithmes des Nombres Negatifs e Imaginaires. (Controversy between Mr Leibniz and Mr Bernouilli on the logarithms of negative and imaginary numbers).

Herman H. J. Lynge & Søn A/S
lyn36103
(Berlin, Haude et Spener, 1751). 4to. No wrappers, as issued in "Mémoires de l'Academie Royale des Sciences et Belles-Lettres", tome V, pp. 139-179.

First edition of this importent paper on the logarithms of complex numbers, where Euler clarified such functions. He disagreed with Leibniz that a special function was only applicable for positive numbers, and showed that i was applicable for both negative and positive numbers, only with a difference of a constant. When Euler here (the offered item) came out with the correct form for the logarithm, it was not generally accepted. - Enestrom, Euler Bibliography E 168.
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