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Georg Friedrich Bernhard Riemann (/ ˈriːmɑːn /; [1] German: [ˈɡeːɔʁk ˈfʁiːdʁɪç ˈbɛʁnhaʁt ˈʁiːman] ⓘ; [2][3] 17 September 1826 – 20 July 1866) was a German mathematician who made profound contributions to analysis, number theory, and differential geometry.
Georg Friedrich Bernhard Riemann (/ ˈriːmɑːn /; [1] German: [ˈɡeːɔʁk ˈfʁiːdʁɪç ˈbɛʁnhaʁt ˈʁiːman] ⓘ; [2][3] 17 September 1826 – 20 July 1866) was a German mathematician who made profound contributions to analysis, number theory, and differential geometry.
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Riemann hypothesis, in number theory, hypothesis by German mathematician Bernhard Riemann concerning the location of solutions to the Riemann zeta function, which is connected to the prime number theorem and has important implications for the distribution of prime numbers.
Bernhard Riemann's ideas concerning geometry of space had a profound effect on the development of modern theoretical physics. He clarified the notion of integral by defining what we now call the Riemann integral.
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Bernhard Riemann (1826 - 1866) - Biography - MacTutor History of ...
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Bernhard Riemann made profound, far-sighted discoveries with lasting consequences for mathematics and our understanding of space, gravity, and time. Riemannian geometry completely reformed the field of geometry and became the mathematical foundation of Einstein's general theory of relativity.
The Riemann-Roch theorem, which relates the number of independent solutions to a system of algebraic equations to the topological properties of the solutions. The theorem is used in the study of algebraic curves and has important applications in geometry and topology.
The discovery of the Riemann zeta function and the relationship of its zeroes to the prime numbers brought Riemann instant fame when it was published in 1859.
Bernhard Riemann was an inspiring nineteenth century German mathematician. He is recognized for his contribution to differential geometry, analysis and number theory.
Building on the ideas introduced in his thesis, particularly that of a Riemann surface, Riemann developed a very powerful geometric theory that resolved a number of outstanding problems. This work established Riemann as an important mathematician, but it was not without controversy.
