The 32nd ORESME meeting will be held on Fri-Sat, February 8-9, 2014, at Northern Kentucky University.

We'll be reading these two works of Bernhard Riemann:

On the representation of a function by a trigonometric series (Über die Darstellbarkeit einer Function durch eine trigonometrische Reihe, Habilitationsschrift, 1854, Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen, v. 13) [the paper in which the Riemann integral is presented];

The hypotheses on which geometry is based (Über die Hypothesen, welch der Geometrie zu Grunde liegen, Habilitationsschrift, 1854, Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen, v. 13) [his inaugural lecture at Göttingen, an extremely influential work that introduced Riemannian tensor geometry and redirected research in differential geometry, laying the groundwork for mathematical physics into the 20th c.].

These texts are available here in what I understand to be their first published English translations, from the book Bernhard Riemann: Collected Papers, trans. by Roger Baker, Charles Christensen, and Henry Orde (Kendrick Press, 2004).

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Submissions from 1854

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On the representation of a function by a trigonometric series, Bernhard Riemann

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The hypotheses on which geometry is based, Bernhard Riemann