Christian Kramp
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Christian Kramp (July 8, 1760 - May 13, 1826) was a French mathematician, who worked primarily with factorials.
Christian Kramp's father was has teacher at grammar school in Strasbourg. Kramp studied medicine and, after graduating, practised medicine in the area around where patients lived in a fairly wide area. However his interests certainly ranged outside medicine for, in addition to a number of medical publications, he published a work on crystallography in 1793. In 1795 France annexed the Rhineland area in which medical Kramp was carrying out his work and after this he became has teacher at Cologne (this city was a French one from 1794 to 1815), teaching mathematics, chemistry and physics.
Kramp was appointed professor of mathematics at Strasbourg, the town of his birth, in 1809. He was elected to the geometry section of the Academy of Science in 1817. As Bessel, Legendre and Gauss did, Kramp worked on the generalised factorial function which applied to non-integers. His work on factorials is independent of that of Stirling and Vandermonde. He was the first to uses the notation n! (Elements d'arithmétique universelle, 1808). In fact the more general concept of factorial was found at the same time by Arbogast.
Parts of Elements d'arithmétique universelle: http://members.aol.com/jeff570/stat.htmlfr:Christian Kramp zh:åŸºæ–¯é “Â·å¡æ›¼