Bernhard Riemann

"Riemann" redirects here. For other people with the surname, see Riemann (surname). For other topics named after Bernhard Riemann, see List of topics named after Bernhard Riemann.
Not to be confused with Bernhard Raimann.
Bernhard Riemann
Riemann c. 1863
Born
Georg Friedrich Bernhard Riemann

17 September 1826 (1826-09-17)
Breselenz, Kingdom of Hanover (modern-day Germany)
Died20 July 1866(1866-07-20) (aged 39)
Selasca, Kingdom of Italy
Alma mater
Known forSee list
Scientific career
Fields
InstitutionsUniversity of Göttingen
ThesisGrundlagen für eine allgemeine Theorie der Funktionen einer veränderlichen complexen Größe (1851)
Doctoral advisorCarl Friedrich Gauss
Other academic advisors
Notable studentsGustav Roch
Eduard Selling
Signature

Georg Friedrich Bernhard Riemann (German: [ˈɡeːɔʁk ˈfʁiːdʁɪç ˈbɛʁnhaʁt ˈʁiːman] ⓘ;[1][2] 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 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 a foundational paper of analytic number theory. Through his pioneering contributions to differential geometry, Riemann laid the foundations of the mathematics of general relativity.[3] He is considered by many to be one of the greatest mathematicians of all time.[4][5]

  1. ^ Dudenredaktion; Kleiner, Stefan; Knöbl, Ralf (2015) [First published 1962]. Das Aussprachewörterbuch [The Pronunciation Dictionary] (in German) (7th ed.). Berlin: Dudenverlag. pp. 229, 381, 398, 735. ISBN 978-3-411-04067-4.
  2. ^ Krech, Eva-Maria; Stock, Eberhard; Hirschfeld, Ursula; Anders, Lutz Christian (2009). Deutsches Aussprachewörterbuch [German Pronunciation Dictionary] (in German). Berlin: Walter de Gruyter. pp. 366, 520, 536, 875. ISBN 978-3-11-018202-6.
  3. ^ Wendorf, Marcia (2020-09-23). "Bernhard Riemann Laid the Foundations for Einstein's Theory of Relativity". interestingengineering.com. Retrieved 2023-10-14.
  4. ^ Ji, Papadopoulos & Yamada 2017, p. 614
  5. ^ Mccleary, John. Geometry from a Differentiable Viewpoint. Cambridge University Press. p. 282.