bernhard riemann การใช้

• A rigorous mathematical definition of the integral was given by Bernhard Riemann.
• Bernhard Riemann made some famous contributions to modern analytic number theory.
• Bernhard Riemann used these ideas to give a precise definition of the integral.
• Riemannian manifolds and Riemann surfaces are named after Bernhard Riemann.
• As a professor, Stern taught Gauss's student Bernhard Riemann.
• The function is named in honour of Bernhard Riemann.
• However, several of his students became influential mathematicians, among them Richard Dedekind and Bernhard Riemann.
• It is named after German mathematician Bernhard Riemann.
• Later, Peter Gustav Lejeune Dirichlet and Bernhard Riemann expressed Fourier's results with greater precision and formality.
• Bernhard Riemann attended his classes on elliptic functions.
• Further contributions were made by Augustin-Louis Cauchy, Ludwig Schl鋐li, Johann Benedict Listing, Bernhard Riemann and Enrico Betti.
• One of the major achievements of Bernhard Riemann was his theory of complex tori and theta functions.
• Bernhard Riemann, Peter Gustav Lejeune Dirichlet and a number of significant mathematicians made their contributions to mathematics here.
• Bernhard Riemann was the first to do extensive work generalizing the idea of a surface to higher dimensions.
• In 1923 Hermann Weyl mentioned Clifford as one of those who, like Bernhard Riemann, anticipated the geometric ideas of relativity.
• However, he continued to study mathematics ( especially mathematical physics ) from books by Bernhard Riemann, Dirichlet and Augustin-Louis Cauchy.
• In the 19th century, Bernhard Riemann and his student Gustav Roch proved what is now known as the Riemann Roch theorem.
• In 1854, Gauss selected the topic for Bernhard Riemann's Habilitationvortrag, " 躡er die Hypothesen, welche der Geometrie zu Grunde liegen ".
• This description had in turn been generalized to higher-dimensional spaces in a mathematical formalism introduced by Bernhard Riemann in the 1850s.
• Quadratic relations were provided by Bernhard Riemann . "'Koizumi's theorem "'states the third power of an ample line bundle is normally generated.