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Hermann Kinkelin (11 November 1832 – 1 January 1913) was a
Swiss Swiss may refer to: * the adjectival form of Switzerland * Swiss people Places * Swiss, Missouri * Swiss, North Carolina *Swiss, West Virginia * Swiss, Wisconsin Other uses *Swiss-system tournament, in various games and sports *Swiss Internation ...
mathematician and politician.


Life

His family came from
Lindau Lindau (german: Lindau (Bodensee), ''Lindau am Bodensee''; ; Low Alemannic German, Low Alemannic: ''Lindou'') is a major Town#Germany, town and Lindau (island), island on the eastern side of Lake Constance (''Bodensee'' in German) in Bavaria, Ge ...
on
Lake Constance Lake Constance (german: Bodensee, ) refers to three Body of water, bodies of water on the Rhine at the northern foot of the Alps: Upper Lake Constance (''Obersee''), Lower Lake Constance (''Untersee''), and a connecting stretch of the Rhine, ca ...
. He studied at the Universities of Zurich, Lausanne, and Munich. In 1865 he became professor of mathematics at the University of Basel, where until his retirement in 1908, the full burden of teaching of mathematics was his responsibility. In 1867 he was naturalized in Basel. He was also a
statistician A statistician is a person who works with theoretical or applied statistics. The profession exists in both the private and public sectors. It is common to combine statistical knowledge with expertise in other subjects, and statisticians may wor ...
, he founded the Swiss Statistical Society and the Statistical-economic society in Basel and led the 1870 and 1880 Federal census in Basel. Kinkelin's works dealt with the
gamma function In mathematics, the gamma function (represented by , the capital letter gamma from the Greek alphabet) is one commonly used extension of the factorial function to complex numbers. The gamma function is defined for all complex numbers except ...
,
infinite series In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity. The study of series is a major part of calculus and its generalization, math ...
, and
solid geometry In mathematics, solid geometry or stereometry is the traditional name for the geometry of Three-dimensional space, three-dimensional, Euclidean spaces (i.e., 3D geometry). Stereometry deals with the measurements of volumes of various solid fig ...
of the axonometric. Kinkelin produced more than 60 publications in actuarial mathematics and statistics. He was a founder of the Basel "mortality and age checkout" (later "Patria, Swiss life insurance company Mutual") and the Swiss Statistical Society, of which he was a member during 1877–86. Hermann Kinkelin died in Basel on 1 January 1913.


Publications

* ''Investigation into the formula \scriptstyle n F(n x) = f(x) + f(x + \frac) + f(x + \frac) + \ldots f(x + \frac).'' Archiv der Mathematik und Physik 22, 1854, pp. 189–224
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* ''The fundamental equations of the Γ(x) function'', Mitteilungen der Naturforschenden Gesellschaft in Bern 385 und 386, 1857, pp. 1–11
Internet-Archivdito
* ''On some infinite series'', Mitteilungen der Naturforschenden Gesellschaft in Bern 419 und 420, 1858, pp. 89–104
Internet Archive
* ''About a transcendent relatives of the gamma function and its application to the integral calculus'', Journal für die reine und angewandte Mathematik 57, 1860, pp. 122–138
GDZ
* ''The oblique axonometric projection'', Vierteljahrsschrift der Naturforschenden Gesellschaft in Zürich 6, 1861, pp. 358–367
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* ''On the Theory of Prismoides'', Archiv der Mathematik und Physik 39, 1862, p. 181–186
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* ''Proof of three sybling expressions of the triangle'', Archiv der Mathematik und Physik 39, 1862, pp. 186–188
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* ''New evidence of the presence complex roots in an algebraic equation'', Mathematische Annalen 1, 1869, pp. 502–506
Google BooksGDZJahrbuch-Rezension
* ''The calculation of the Christian Easter'', Zeitschrift für Mathematik und Physik 15, 1870, pp. 217–228
Internet-Archiv
* ''Lecture'' in ''Die Basler Mathematiker Daniel Bernoulli und Leonhard Euler'', Verhandlungen der Naturforschenden Gesellschaft in Basel 7 (Anhang), 1884, pp. 51–71
Internet-Archiv
* ''Constructions of the centers of curvature of conics'', Zeitschrift für Mathematik und Physik 40, 1895, pp. 58–59
Internet-ArchivJahrbuch-Rezension
* ''About the gamma function'', Verhandlungen der Naturforschenden Gesellschaft in Basel 16, 1903, pp. 309–328
Internet-Archivdito


Monographs

* ''General theory of harmonic series with applications to number theory'', Schweighauser, Basel 1862
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* ''Short notice of the metric weights and measures'', 1876; Nachdruck: Andreas Mächler, Riehen 2006,


References

* Johann Jakob Burckhardt

In: Neue Deutsche Biographie (NDB). Band 11, Duncker & Humblot, Berlin 1977, pp. 625

. * H. Fäh, in: Verhh. d. Schweizer. Naturforschenden Ges., 96. J.verslg., 1913 (P); G. Schärtlin, Erinnerungen an * H. K., ebd.; R. Flatt, Verz. d. gedr. Veröff. v. H. K., ebd.; ders., in: Basler Jb. 1914(P); HBLS (P). * Hermann Wichers
Kinkelin, Hermann
in Historischen Lexikon der Schweiz
Hermann Kinkelin
i
History of Social Security in Switzerland
{{DEFAULTSORT:Kinkelin, Hermann Swiss mathematicians 1832 births 1913 deaths