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Encyclopedia > Georg Friedrich Bernhard Riemann
Bernhard Riemann.
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Bernhard Riemann.

Georg Friedrich Bernhard Riemann (September 17, 1826 - June 20, 1866) was a German mathematician who made important contributions to analysis and differential geometry, some of them paving the way for the later development of general relativity. His name is connected with the zeta function, the Riemann integral, the Riemann lemma, Riemannian manifolds, the Riemann mapping theorem, Riemann-Hilbert problems, and Riemann surfaces.


He was born in Breselenz, a village near Dannenberg in the Kingdom of Hanover in what is today Germany. His father Friedrich Bernhard Riemann was Lutheran pastor in Breselenz. Bernhard was the second of six children.


In 1840 Bernhard went to Hanover to live with his grandmother and visit the Lyceum. After the death of his grandmother in 1842 he went to the Johanneum in Lüneburg. In 1846, at the age of 19, he started studying philology and theology at the University of Göttingen. He attended lectures of Gauss on the method of least squares. In 1847 his father allowed him to stop studying Theology and start studying Mathematics.


In 1847 he moved to Berlin, where Jacobi, Dirichlet and Steiner were teaching. He stayed in Berlin for two years and returned to Göttingen in 1849.


Riemann held his first lectures in 1854, which not only founded the field of Riemannian geometry but set the stage for Einstein's general relativity. He was promoted an extraordinary professor at the University of Göttingen in 1857 and became an ordinary professor in 1859 following Dirichlet's death.


In 1862 he married Elise Koch.


He died on his third journey to Italy in Selasca.


See also

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  Results from FactBites:
 
Riemann, Georg Friedrich Bernhard - Hutchinson encyclopedia article about Riemann, Georg Friedrich Bernhard (364 words)
Georg Riemann showed that in spherical geometry (a form of non-Euclidean geometry), although a parallelogram may have two opposite angles of 90°, it does not necessarily follow that the other two angles are also 90°.
Riemann took into account the possible interaction between space and the bodies placed in it; until then, space had been treated as an entity in itself, and this new point of view was to become a central concept of 20th-century physics.
Riemann's paper on the fundamental postulates of Euclidean geometry, written in the early 1850s but not published until 1867, was to open up the whole field of non-Euclidean geometry and become a classic in the history of mathematics.
  More results at FactBites »


 

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