A LANDMARK TEXTBOOK ON THE INTEGRAL CALCULUS

EULER, LEONHARD.

Vollständige Anleitung zur Integralrechnung. Aus dem Lateinischen ind Deutsche übersetz von Joseph Salomon. 4 Bde.

Wien, Carl Gerold, 1828-30.

8vo. Bound in 4 contemp. marbled boards, titlelabels with gilt lettering. A few scratches to hinges and spine ends. Very small loos to 2 titlelabels. Light wear to top of spine on volume 4. Corners a bit bumped. 2 small paperlabels pasted to lower part of spines. A small stamp to foot of titlepages. VIII,439;IV,424;VIII,439;VI,520 pp. and 3 folded engraved plates.

First German edition (a translation from the Latin "Institutiones Calculi Integralis", 1768-70) of this landmark work on the integral calculus, being the most complete and accurate work on the subject at the time. It "contained not only a full summary of everything then known on this subject, but also the Beta and Gamma functions and other original investigations" (Cajori). The work exhibits Euler's numerous discoveries in the theory of both ordinary and partial differential equations, which were especially useful in mechanics.

"(Euler) presents methods of definite and indefinite integration, having invented many of the methods himself, such as the use of an "Euler substitution" for rationalizing particular irrational differentials. His treatment is near exhaustive for integrals expressive as elementary functions. He also develops the theory of ordinart and partial differential equations and presents many properties of the beta and gamma function Eulerian integrals introduced by Euler earlier."(Parkinson "Breakthroughs" 1768 M).

Enestroem E 342, E 385, E 385 (The Latin edition). - Poggendorff I, 690.

Order-nr.: 45266