Bernhard Riemann

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Georg Friedrich Bernhard Riemann (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 famous 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]

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In the branch of mathematics known as real analysis,
the Riemann integral,created by Bernhard Riemann,
was the first rigorous definition of the integral of a function on an interval.

It was presented to the faculty at the University of Gรถttingen in 1854,
but not published in a journal until 1868.[1]

For many functions and practical applications,
the Riemann integral can be evaluated by the fundamental theorem of calculus or
approximated by numerical integration.

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