*But he always attended classes in mathematics, too, and finally his father gave him permission to do only mathematics.*

He was very shy and in his letters he reflects his difficulties to give a lecture.

He was used to thinking in great steps and it was difficult for him to accomodate to the speed of his auditorium.

[Werke, p.517, translated in Spivak, p.4A-3] At this time Riemann worked as an assistant to H.

Weber and held his first course as Privatdozent in partial differential equations with applications to physics.

Samuel Clarke and Leonhard Euler, is, much more today than during Riemann’s time, whether physics is a branch of mathematics, or mathematics a branch of physics.

As in the concluding sentence of his famous 1854 habilitation dissertation, Riemann demonstrated that, to settle the underlying issues of mathematics, one must depart that domain, into physics.

I haven’t found any source suggesting that Gauss assigned Riemann’s Ph D thesis topic (or his habilitation thesis topic).

published, in its Winter 1995 edition, an English translation of a collection of early writings of Bernhard Riemann.

He was member of the Gesellschaft der Wissenschaften, the Bavarian and Parisian Academy and the London Royal Academy.

, Riemann was asked for three potential topics for his habilitation lecture, from which Gauss chose one.

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