German mathematician who studied mathematics under Gauss and physics under Wilhelm Weber. Riemann did important work in geometry, Eric Weisstein's World of Math complex analysis, Eric Weisstein's World of Math and mathematical physics. He was also a friend of Dedekind, who was later Riemann's biographer. In his thesis, Riemann urged a global view of geometry Eric Weisstein's World of Math as a study of manifolds Eric Weisstein's World of Math of any number of dimensions Eric Weisstein's World of Math in any kind of space. He defined space by a metric Eric Weisstein's World of Math
Riemann's work laid the foundations on which general relativity Eric Weisstein's World of Physics was built. He investigated the Riemann zeta function, Eric Weisstein's World of Math about which he stated the famous (and still not completely proven) Riemann hypothesis. Eric Weisstein's World of Math He also refined the definition of the integral, Eric Weisstein's World of Math invented Riemann surfaces, Eric Weisstein's World of Math and invented a function which was discontinuous at an infinite number of points in an interval, but the integral Eric Weisstein's World of Math of which still existed (Segal 1978). In Über eine Frage der Wärmeleitung, Riemann developed the theory of quadratic forms. Eric Weisstein's World of Math
Riemann maintained that the transmission of electricity Eric Weisstein's World of Physics not was instantaneous, but occurred through the luminiferous ether Eric Weisstein's World of Physics at the speed of light. Eric Weisstein's World of Physics
Riemann died of tuberculosis at the tragically early age 39.
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