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).

(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.

Order-nr.: 36103