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  1. 7 de jun. de 2024 · Bernhard Riemann was the first to do extensive work generalizing the idea of a surface to higher dimensions. The name manifold comes from Riemann's original German term, Mannigfaltigkeit, which William Kingdon Clifford translated as "manifoldness".

  2. 2 de jun. de 2024 · Bernhard Riemann was a remarkable mathematician whose contributions have had a profound impact on the field of mathematics. His groundbreaking work in differential geometry and the Riemann hypothesis has shaped the way we understand complex numbers and the distribution of prime numbers.

  3. 17 de jun. de 2024 · One mathematician who found the presence of Dirichlet a stimulus to research was Bernhard Riemann, and his few short contributions to mathematics were among the most influential of the century. Riemann’s first paper, his doctoral thesis (1851) on the theory of complex functions, provided the foundations for a geometric treatment of ...

  4. 14 de jun. de 2024 · On June 10, 1854, Georg Friedrich Bernhard Riemann gave his classic lecture on curved space. Riemann was a 19th century mathematician from Germany. His landmark lecture included a workable definition of how someone might measure the curvature of space.

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  5. 10 de jun. de 2024 · Bernhard Riemann (1826–1866) is widely regarded as one of the leading mathematicians of the nineteenth century. He developed Riemannian geometry which is the basis for Einstein's theory of gravitation.

  6. 4 de jun. de 2024 · Math genealogy says Bernhard Riemann received the Dr. phil. degree in 1851 from Georg-August-Universität, Göttingen. His advisor was C. F. Gauß . Dissertation title: "Grundlagen für eine allgemeine Theorie der Funktionen einer veränderlichen complexen Größe".

  7. Há 5 dias · In differential geometry, a Riemannian manifold or Riemannian space (M, g), so called after the German mathematician Bernhard Riemann, is a real, smooth manifold M equipped with a positive-definite inner product g p on the tangent space T p M at each point p and with a proper connection.