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He spent two and a half years working on his habilitation dissertation which was on the representability of functions by trigonometric series. In order to complete his habilitation, Riemann had to present a lecture on geometry. His lecture, On the hypotheses that lie at the foundations of geometry, was delivered on June tenth, 1854 and instantly became a classic of mathematics...
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His lecture, On the hypotheses that lie at the foundations of geometry, was delivered on June tenth, 1854 and instantly became a classic of mathematics.
In 1855, Gauss's chair at Gottingen was superseded by Johann Peter Gustav Lejeune Dirichlet, another mathematician who had a great influence on Bernhard Riemann...
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