# Riemann Sentence Examples

- GEORG FRIEDRICH BERNHARD
**RIEMANN**(1826-1866), German mathematician, was born on the 17th of September [[Xxiii. - 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. - The fundamental method of research which
**Riemann**employed has just been alluded to; the results will be best indicated in his own words: "The methods in use hitherto for treating functions of a complex variable always started from an expression for the function as its definition, whereby its value was given for every value of the argument; by our investigation it has been shown that, in consequence of the general character of a function of a complex variable, in a definition of this sort one part of the determining conditions is a consequence of the rest, and the extent of the determining conditions has been reduced to what is necessary to effect the determination. - It was fortunate, no doubt, for
**Riemann**that he had the kind advice and encouragement of Dirichlet himself, who was then on a visit at GÃ¶ttingen during the preparation of his essay; but the result was a memoir of such originality and refinement as showed that the pupil was fully the equal of the master. - The collected works of
**Riemann**were published by H. - 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**, Geschichte des Jeverlandes (Jever, 1896).**Riemann**and C. Graux; (in archaeology) A.**Riemann**and S.- See
**Riemann**, Geschichte der Stadt Kolberg (Kolberg, 1873); Stoewer, Geschichte der Stadt Kolberg (Kolberg, 1897); Schonlein, Geschichte der Belagerungen Kolbergs in den Jahren 1758, 1760, 1761 and 1807 (Kolberg, 1878); and Kempin, Fi hrer durch Bad Kolberg (Kolberg, 1899). - Ansted, The Ionian Islands in the Year 1863 (London, 1863);
**Riemann**, Recherches archeologiques sur les lies ioniennes (Paris, 1879-1880); J. **Riemann**and H.- 9-12 (Athens, 1877);
**Riemann**, "Recherches archeologiques sur les Iles ioniennes" in Bibliotheque des Ecoles francaises d'Athenes et de Rome (Paris, 1879-1880); Gregorovius, Corfu: eine ionische Idylle (Leipzig, 1882); J. **Riemann**, Goethes Romantechnik (1901); R.**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**, R.**Riemann**, Recherches archeologiques sur les lies Ioniennes (Paris, 1879-1880); Partsch, Kephallenia and Ithaka (1890); see also CORFU; IONIAN ISLANDS.- See
**Riemann**, Geschichte der Stadt Greifenberg (1862). **Riemann**, the rational transformation of a plane curve; Luigi Cremona, the rational transformation of a plane; and Chasles, correspondence of points on the same curve, and united points.