Bernhard Riemann
Georg Friedrich Bernhard Riemann (; 17 September 1826 – 20 July 1866) was a German
mathematician who made profound contributions to
analysis ,
number theory , and
differential geometry . In the field of
real analysis , he is mostly known for the first rigorous formulation of the integral, the
Riemann integral , and his work on
Fourier series . His contributions to
complex analysis include most notably the introduction of
Riemann surface s, breaking new ground in a natural, geometric treatment of complex analysis. His
1859 paper on the
prime-counting function , containing the original statement of the
Riemann hypothesis , is regarded as a foundational paper of
analytic number theory . Through his pioneering
contributions to differential geometry , Riemann laid the foundations of the mathematics of
general relativity . He is considered by many to be one of the greatest mathematicians of all time.
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