Riemann sentence example
His father, Friedrich Bernhard Riemann, came from Mecklenburg, had served in the war of freedom, and had finally settled as pastor in Quickborn.
Here with his five brothers and sisters Riemann spent his boyhood and received, chiefly from his father, the elements of his education.
The director, Schmalfuss, encouraged him in his mathematical studies by lending him books (among them Leonhard Euler's works and Adrien Marie Legendre's Theory of Numbers), which Riemann read, mastered and returned within a few days.
In 1846 Riemann entered himself as a student of philology and theology in the university of GÃ¶ttingen.
This double cultivation of his scientific powers had the happiest effect on his subsequent work; for the greatest achievements of Riemann were effected by the application in pure mathematics generally of a method (theory of potential) which had up to this time been used solely in the solution of certain problems that arise in mathematical physics.Advertisement
In 1855 Gauss died and was succeeded by Dirichlet, who along with others made an effort to obtain Riemann's nomination as extraordinary professor.
Riemann's health had never been strong.
Negative values of n must be interpreted by a streaming motion on a parallel plane at a level slightly different, as on a double Riemann sheet, the stream passing from one sheet to the other across a cut SS' joining the foci S, S'.
Riemann on the same subject; these are to be found in the Journal of the Ecole Polytechnique from 1813 to 1823, and in the Memoirs de l'academie for 1823.
Riemann, Recherches archeologiques sur les lies Ioniennes (Paris, 1879-1880); Partsch, Kephallenia and Ithaka (1890); see also CORFU; IONIAN ISLANDS.Advertisement
He was much interested, too, in universal algebra, non-Euclidean geometry and elliptic functions, his papers "Preliminary Sketch of Bi-quaternions" (1873) and "On the Canonical Form and Dissection of a Riemann's Surface" (1877) ranking as classics.
In fact, there are areas of mathematics that have been developed by mathematicians on the assumption that the Riemann Hypothesis is true.
In 1846 Riemann entered himself as a student of philology and theology in the university of GÃƒ¶ttingen.