The 41st meeting of the ORESME Reading Group will be held on Friday-Saturday, November 1-2, 2019, at Xavier University. Given the nice success enjoyed by the group with leading our first Read the Masters event at MAA MathFest 2019 here in Cincinnati this past summer--at which we read from Introductio ad analysin infinitorum by Leonhard Euler (1707–1783), in John Blanton’s English translation--we will stick with a good thing.

We shall take up Chapters 3 and 4 from

  • Leonhard Euler, Institutiones Calculi Differentialis cum eius usu in analysi finitorum ac doctrina serierum (St. Petersburg, Berlin: 1755),
once again in Blanton’s English translation:
  • Leonhard Euler, Foundations of Differential Calculus. Part I. Translated by John D. Blanton. (New York: Springer-Verlag, 2000).

The Institutiones was the first volume of Euler’s calculus “textbook.” Chapter 3 (On the Infinite and the Infinitely Small) and Chapter 4 (On the Nature of Differentials of Each Order) get at the heart of Euler’s understanding of differentiation.

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Submissions from 2000

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Foundations of Differential Calculus. Part I, Leonhard Euler

Submissions from 1755

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Institutiones Calculi Differentialis cum eius usu in analysi finitorum ac doctrina serierum, Leonhard Euler