Abstract
Bernhard Riemann submitted his Habilitationsschrift—the postdoctoral examination required to qualify to lecture at a university—to the University of Göttingen at the end of 1853. He had spent 30 months working on the dissertation, and in the fourth section, entitled “Ueber den Begriff eines bestimmten Integrals und den Umfang seiner Gültigkeit” (“On a notion of a definite integral and the scope of its validity”), Riemann introduced the following condition for a function to have an integral on an interval.
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Torchinsky, A. (2022). Introduction. In: A Modern View of the Riemann Integral. Lecture Notes in Mathematics, vol 2309. Springer, Cham. https://doi.org/10.1007/978-3-031-11799-2_1
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