The 34th ORESME gathering is scheduled for October 16-17, 2015, at Xavier University. Our mathematician of the moment -- in anticipation of the upcoming 300th anniversary of his death -- is the highly influential Gottfried Leibniz (1646–1716).

Our reading will focus on some central texts that illustrate his development of the differential and integral calculus. Leibniz famously published little mathematics, so what is available in English is meager. We will read from

The Early Mathematical Manuscripts of Leibniz, translated from the Latin texts published by Carl Immanuel Gerhardt, with critical and historical notes, by J.M. Child, Open Court, 1920 (Dover, 2005)

and will use these excerpts from Child's edition:

Chapter IV. Manuscripts of the period 1673-1675 (pp. 58-114).
Chapter V. Manuscripts of the period 1676, 1677, and a later undated manuscript (pp. 115-158).
(The more interesting and important texts appear in Chapter V.)

In addition, here is a secondary source that will provide more context:

Niccolo Guicciardini, "Newton's Method and Leibniz's Calculus", in A History of Analysis, edited by Hans Niels Jahnke (AMS, 2003), Section 3.3 Leibniz’s differential and integral calculus (pp. 85-91).

Also recommended are these biographies:

E.J. Aiton, Leibniz: a biography (Hilger, 1985).
J.E. Hofmann, Leibniz in Paris, 1672-1676 (Cambridge U Press, 1974).


Submissions from 1673


Manuscripts of the period 1673-1675, Gottfried Wilhelm Leibniz

Submissions from 1676


Manuscripts of the period 1676, 1677, and a later undated manuscript, Gottfried Wilhelm Leibniz

Submissions from 2003


Newton's Method and Leibniz's Calculus, Niccolò Guicciardini