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{{Infobox scientist
| name = Hermann Kinkelin
| image =
| image_size =
| caption =
| birth_date = {{birth date|1832|11|11|mf=y}}
| birth_place = [[Bern]]
| death_date = {{Death date and age|1913|1|2|1832|11|11|mf=y}}
| death_place = [[Basel]]
| nationality = [[Swiss]]
| field = [[Mathematics]]
| work_institution = [[University of Basel]]<br> Swiss Statistical Society SSS<br> Statistical-economic society
| alma_mater =
| doctoral_advisor =
| doctoral_students =
| known_for = [[Glaisher–Kinkelin constant]]
| prizes =
| religion =
| footnotes =
}}
'''Hermann Kinkelin''' (11 November 1832 – 2 January 1913)<ref>{{cite book | url=http://books.google.com/books?id=oXjMYIonXTYC&pg=PA605 | title=Writing the History of Mathematics – Its Historical Development | accessdate=December 29, 2012 | pages=101}}</ref> was a [[Swiss]] mathematician and politician.

==Life==
His family came from [[Lindau]] on [[Lake Constance]]. 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]], he founded the Swiss Statistical Society and the Statistical-economic society in Basel and led the 1870 and 1880 [[Federal Statistical Office (Switzerland)|Federal census]] in Basel.

Kinkelin's works dealt with the [[gamma function]], [[infinite series]], and [[solid geometry]] 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.

==Publications==
* ''Investigation into the formula <math>\scriptstyle n F(n x) = f(x) + f(x + \frac{1}{n}) + f(x + \frac{2}{n}) + \ldots f(x + \frac{n-1}{n}).</math>'' Archiv der Mathematik und Physik 22, 1854, pp. 189–224 ([http://books.google.com/books?id=_AcAAAAAMAAJ&pg=PA189 Google Books], [http://books.google.com/books?hl=de&id=lKcKAAAAIAAJ&pg=PA189 dito])
* ''The fundamental equations of the Γ(x) function'', Mitteilungen der Naturforschenden Gesellschaft in Bern 385 und 386, 1857, pp. 1–11 ([http://www.archive.org/stream/mitteilungendern385407natu#page/n9 Internet-Archiv], [http://www.archive.org/stream/mitteilungender12berngoog#page/n414 dito])
* ''On some infinite series'', Mitteilungen der Naturforschenden Gesellschaft in Bern 419 und 420, 1858, pp. 89–104 ([http://books.google.de/books?id=N3cWAQAAIAAJ&pg=PA89 Google Books])
* ''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 ([http://resolver.sub.uni-goettingen.de/purl?GDZPPN002150824 GDZ])
* ''The oblique axonometric projection'', Vierteljahrsschrift der Naturforschenden Gesellschaft in Zürich 6, 1861, pp. 358–367 ([http://books.google.de/books?id=iV8WAQAAIAAJ&pg=PA358 Google Books])
* ''On the Theory of Prismoides'', Archiv der Mathematik und Physik 39, 1862, p. 181–186 ([http://books.google.de/books?id=BnLxAAAAMAAJ&pg=PA181 Google Books], [http://books.google.de/books?id=w_gLAAAAYAAJ&pg=PA181 dito], [http://books.google.de/books?id=IaYEAAAAQAAJ&pg=PA181 dito])
* ''Proof of three sybling expressions of the triangle'', Archiv der Mathematik und Physik 39, 1862, pp. 186–188 ([http://books.google.de/books?id=BnLxAAAAMAAJ&pg=PA186 Google Books], [http://books.google.de/books?id=w_gLAAAAYAAJ&pg=PA186 dito], [http://books.google.de/books?id=IaYEAAAAQAAJ&pg=PA186 dito])
* ''New evidence of the presence complex roots in an algebraic equation'', Mathematische Annalen 1, 1869, pp. 502–506 ([http://books.google.de/books?id=6jfWAAAAMAAJ&pg=PA502 Google Books], [http://resolver.sub.uni-goettingen.de/purl?GDZPPN002240238 GDZ], [http://www.zentralblatt-math.org/zbmath/search/?q=an:02.0041.02 Jahrbuch-Rezension])
* ''The calculation of the Christian Easter'', Zeitschrift für Mathematik und Physik 15, 1870, pp. 217–228 ([http://www.archive.org/stream/zeitschriftfurm10unkngoog#page/n224 Internet-Archiv])
* ''Lecture'' in ''Die Basler Mathematiker Daniel Bernoulli und Leonhard Euler'', Verhandlungen der Naturforschenden Gesellschaft in Basel 7 (Anhang), 1884, pp. 51–71 ([http://www.archive.org/stream/verhandlungender78285natu#page/50 Internet-Archiv])
* ''Constructions of the centers of curvature of conics'', Zeitschrift für Mathematik und Physik 40, 1895, pp. 58–59 ([http://www.archive.org/stream/zeitschriftfrma03teubgoog#page/n70 Internet-Archiv], [http://www.zentralblatt-math.org/zbmath/search/?q=an:26.0615.01 Jahrbuch-Rezension])
* ''About the gamma function'', Verhandlungen der Naturforschenden Gesellschaft in Basel 16, 1903, pp. 309–328 ([http://www.archive.org/stream/verhandlungender16natu#page/308 Internet-Archiv], [http://www.archive.org/stream/verhandlungende11basegoog#page/n330 dito])

===Monographs===
* ''General theory of harmonic series with applications to number theory'', Schweighauser, Basel 1862 ([http://books.google.de/books?id=dIA_AAAAcAAJ Google Books])

* ''Short notice of the metric weights and measures'', 1876; Nachdruck: Andreas Mächler, Riehen 2006, ISBN 3-905837-02-1

== References ==
* Johann Jakob Burckhardt: [http://bsbndb.bsb.lrz-muenchen.de/artikelNDB_pnd116175389.html Kinkelin. Hermann]. In: Neue Deutsche Biographie (NDB). Band 11, Duncker & Humblot, Berlin 1977, pp. 625 ([http://daten.digitale-sammlungen.de/0001/bsb00016328/images/index.html?seite=641 Digitalisat]).
* 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: [http://www.hls-dhs-dss.ch/textes/d/D4563.php Kinkelin, Hermann] in Historischen Lexikon der Schweiz
{{Reflist}}

{{Authority control|VIAF=20425052}}


{{Persondata
| NAME = Kinkelin, Hermann
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION = Swiss mathematician
| DATE OF BIRTH = November 11, 1832
| PLACE OF BIRTH = [[Bern]]
| DATE OF DEATH = January 2, 1913
| PLACE OF DEATH = [[Basel]]
}}
{{DEFAULTSORT:Kinkelin, Hermann}}
[[Category:Swiss mathematicians]]
[[Category:1832 births]]
[[Category:1913 deaths]]

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