Institutiones calculi differentialis (Foundations of differential calculus) is a mathematical work written in 1748 by Leonhard Euler and published in 1755. It lays the groundwork for the differential calculus. It consists of a single volume containing two internal books; there are 9 chapters in book I, and 18 in book II. W. W. Rouse Ball (1888) writes that "this is the first textbook on the differential calculus which has any claim to be both complete and accurate, and it may be said that all modern treatises on the subject are based on it."
See also Institutiones calculi integralis List of important publications in mathematics
References Euler, Leonhard (2000) [First published 1755]. Foundations of Differential Calculus. Vol. Part I. Translated by Blanton, John D. Springer-Verlag New York. doi:10.1007/b97699. ISBN 978-0-387-98534-3. Euler, Leonhard; Aycock, Alexander (2019). "Institutiones calculi differentialis cum eius usu in analysi finitorum ac doctrina serierum". arXiv:1905.10438 [math.HO]. Ball, W. W. Rouse (1888), A Short Account of the History of Mathematics, Macmillan, p. 368
External links Full text in Latin available from e-rara.ch. English translation of Part II German translation Vollständige Anleitung zur Differenzial-Rechnung available from e-rara.ch.