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Mathematical Treasures - Leonhard Euler's Integral Calculus

Frank J. Swetz and Victor J. Katz


The title page of Leonard Euler’s Integral Calculus, vol. 1 (1768). The complete work in three volumes appeared in the interval 1768 – 1770. This was the first complete textbook published on the integral calculus. The entire Integral Calculus is available at the Euler Archive.


Euler’s discussion on page 121 of volume 1 of his Integral Calculus concerning the integration of logarithmic and exponential functions. Note that Euler used lx to represent what we write as ln(x).


An excerpt, pp. 182–183, from volume 2 of Euler’s Integral Calculus, demonstrating a series solution for a differential equation.

Frank J. Swetz and Victor J. Katz, "Mathematical Treasures - Leonhard Euler's Integral Calculus," Loci (January 2011)


Mathematical Treasures from the Smith and Plimpton Collections at Columbia University