Riemann’s On the Hypotheses Which Lie at the Foundations of Geometry

One must be truly enamored of the internet that it allows one to find and read a copy of Bernhard Riemann’s doctoral thesis at the University of Göttingen from 1854!

Riemann,_Bernhard-On_the_Hypotheses_which_lie_at_the_Bases_of_Geometry_(1868).pdf (73 KB)
View this on posterous

His lovely and brief paper has created a tsunami of mathematical work and research in the ensuing 156 years. It has ultimately become one of the seminal works in the development of the algebra and calculus of n-dimensional manifolds.

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One thought on “Riemann’s On the Hypotheses Which Lie at the Foundations of Geometry

  1. This wasn’t his doctoral thesis. That was on Riemann surfaces done in 1851. This is a lecture he gave to be a lecturer. It was one of 3 he had prepared from which Gauss has to pick one and he picked this one.

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