Institutiones calculi differentialis

Institutiones calculi differentialis

Institutiones calculi differentialis (Foundations of differential calculus) is a mathematical work written in 1748 by Leonhard Euler and published in 1755 that 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."

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.
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.
German translation Vollständige Anleitung zur Differenzial-Rechnung available from e-rara.ch.

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v t Leonhard Euler
Works	Mechanica Introductio in analysin infinitorum Institutiones calculi differentialis Institutiones calculi integralis Letters to a German Princess
Concepts and theories	Euler–Lagrange equation Euler–Lotka equation Euler–Maclaurin formula Euler–Maruyama method Euler–Mascheroni constant Euler–Poisson–Darboux equation Euler–Rodrigues formula Euler–Tricomi equation Euler's continued fraction formula Euler's critical load Euler's formula Euler's four-square identity Euler's identity Euler's pump and turbine equation Euler's rotation theorem Euler's sum of powers conjecture Euler's theorem Euler equations (fluid dynamics) Euler function Euler method Euler numbers Euler number (physics) Euler–Bernoulli beam theory
Others	Namesakes Euler Committee Johann Euler Johann Bernoulli (Bernoulli family) Georg Gsell Merian family
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Institutiones calculi differentialis

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