Bernhard Riemann

Georg Friedrich Bernhard Riemann (German: [ˈɡeːɔʁk ˈfʁiːdʁɪç ˈbɛʁnhaʁt ˈʁiːman] (listen);[1][2] 17 September 1826 – 20 July 1866) was a German mathematician who made 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 surfaces, 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 one of the most influential papers in 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.[3][4]

Bernhard Riemann
Bernhard Riemann, c.1863
Born
Georg Friedrich Bernhard Riemann

17 September 1826
Died20 July 1866(1866-07-20) (aged 39)
NationalityGerman
CitizenshipGermany
Alma mater
Known forSee list
Scientific career
Fields
InstitutionsUniversity of Göttingen
Thesis'Grundlagen für eine allgemeine Theorie der Funktionen einer veränderlichen complexen Größe' (1851)
Doctoral advisorCarl Friedrich Gauss
Other academic advisors
Notable studentsGustav Roch
Eduard Selling
InfluencesJ. P. G. L. Dirichlet
Signature

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