Paul Stäckel
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Paul Gustav Samuel Stäckel (20 August 1862,
Berlin Berlin ( , ) is the capital and List of cities in Germany by population, largest city of Germany by both area and population. Its 3.7 million inhabitants make it the European Union's List of cities in the European Union by population within ci ...
– 12 December 1919,
Heidelberg Heidelberg (; Palatine German language, Palatine German: ''Heidlberg'') is a city in the States of Germany, German state of Baden-Württemberg, situated on the river Neckar in south-west Germany. As of the 2016 census, its population was 159,914 ...
) was a German
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
, active in the areas of differential geometry,
number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mat ...
, and
non-Euclidean geometry In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean g ...
. In the area of prime number theory, he used the term ''
twin prime A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term ''twin p ...
'' (in its
German German(s) may refer to: * Germany (of or related to) ** Germania (historical use) * Germans, citizens of Germany, people of German ancestry, or native speakers of the German language ** For citizens of Germany, see also German nationality law **Ge ...
form, "Primzahlzwilling") for the first time. After passing his ''Abitur'' in 1880 he studied mathematics and physics at the
University of Berlin Humboldt-Universität zu Berlin (german: Humboldt-Universität zu Berlin, abbreviated HU Berlin) is a German public research university in the central borough of Mitte in Berlin. It was established by Frederick William III on the initiative ...
, but also listened to lectures on philosophy, psychology, education, and history. A year later he qualified for teaching in higher education and then taught at ''Gymnasien'' in Berlin. In 1885 he wrote his doctoral dissertation under
Leopold Kronecker Leopold Kronecker (; 7 December 1823 – 29 December 1891) was a German mathematician who worked on number theory, algebra and logic. He criticized Georg Cantor's work on set theory, and was quoted by as having said, "'" ("God made the integers, ...
and Karl Weierstraß. In 1891 he completed his ''Habilitation'' at the
University of Halle Martin Luther University of Halle-Wittenberg (german: Martin-Luther-Universität Halle-Wittenberg), also referred to as MLU, is a public, research-oriented university in the cities of Halle and Wittenberg and the largest and oldest university in ...
. Later he worked as a professor at the
University of Königsberg The University of Königsberg (german: Albertus-Universität Königsberg) was the university of Königsberg in East Prussia. It was founded in 1544 as the world's second Protestant academy (after the University of Marburg) by Duke Albert of Pruss ...
(''
außerordentlicher Professor Academic ranks in Germany are the titles, relative importance and power of professors, researchers, and administrative personnel held in academia. Overview Appointment grades * (Pay grade: ''W3'' or ''W2'') * (''W3'') * (''W2'') * (''W2'', ...
'' from 1895 to 1897), the
University of Kiel Kiel University, officially the Christian-Albrecht University of Kiel, (german: Christian-Albrechts-Universität zu Kiel, abbreviated CAU, known informally as Christiana Albertina) is a university in the city of Kiel, Germany. It was founded in ...
(''
ordentlicher Professor Academic ranks in Germany are the titles, relative importance and power of professors, researchers, and administrative personnel held in academia. Overview Appointment grades * (Pay grade: ''W3'' or ''W2'') * (''W3'') * (''W2'') * (''W2'', ...
'', 1897 to 1905),
University of Hannover Gottfried Wilhelm Leibniz University Hannover (german: Gottfried Wilhelm Leibniz Universität), also known as the University of Hannover, is a public research university located in Hanover, Germany. Founded on 2 May 1831 as Higher Vocational Sc ...
(1905 to 1908), the Karlsruhe Institute of Technology (1908 to 1913), and the
University of Heidelberg } Heidelberg University, officially the Ruprecht Karl University of Heidelberg, (german: Ruprecht-Karls-Universität Heidelberg; la, Universitas Ruperto Carola Heidelbergensis) is a public research university in Heidelberg, Baden-Württemberg, ...
(1913 to 1919). Stäckel worked on both mathematics and the history of mathematics. He edited the letters exchanged between
Carl Friedrich Gauss Johann Carl Friedrich Gauss (; german: Gauß ; la, Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields in mathematics and science. Sometimes refer ...
and
Wolfgang Bolyai Farkas Bolyai (; 9 February 1775 – 20 November 1856; also known as Wolfgang Bolyai in Germany) was a Hungarian mathematician, mainly known for his work in geometry. Biography Bolyai was born in Bolya, a village near Hermannstadt, Grand ...
, made contributions to editions of the collected works of Euler and Gauss (for whose works he wrote ''Gauss als Geometer''), and edited the ''Geometrischen Untersuchungen'' by Wolfgang and Johann Bolyai (published in 1913). Additionally he translated works of
Jacob Bernoulli Jacob Bernoulli (also known as James or Jacques; – 16 August 1705) was one of the many prominent mathematicians in the Bernoulli family. He was an early proponent of Leibnizian calculus and sided with Gottfried Wilhelm Leibniz during the Le ...
,
Johann Bernoulli Johann Bernoulli (also known as Jean or John; – 1 January 1748) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family. He is known for his contributions to infinitesimal calculus and educating Le ...
,
Augustin Louis Cauchy Baron Augustin-Louis Cauchy (, ; ; 21 August 178923 May 1857) was a French mathematician, engineer, and physicist who made pioneering contributions to several branches of mathematics, including mathematical analysis and continuum mechanics. He w ...
,
Leonhard Euler Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in ma ...
, Joseph-Louis Lagrange,
Adrien-Marie Legendre Adrien-Marie Legendre (; ; 18 September 1752 – 9 January 1833) was a French mathematician who made numerous contributions to mathematics. Well-known and important concepts such as the Legendre polynomials and Legendre transformation are name ...
,
Carl Gustav Jacobi Carl Gustav Jacob Jacobi (; ; 10 December 1804 – 18 February 1851) was a German mathematician who made fundamental contributions to elliptic functions, dynamics, differential equations, determinants, and number theory. His name is occas ...
from French and Latin into German for the series ''
Ostwalds Klassiker der exakten Wissenschaften Ostwalds Klassiker der exakten Wissenschaften (English: Ostwald's classics of the exact sciences) is a German book series that contains important original works from all areas of natural sciences. It was founded in 1889 by the physical chemist Wi ...
''. In 1904 he was an invited speaker at the International Congress of Mathematicians in Heidelberg. In 1905 he was the president of the
Deutsche Mathematiker-Vereinigung The German Mathematical Society (german: Deutsche Mathematiker-Vereinigung, DMV) is the main professional society of German mathematicians and represents German mathematics within the European Mathematical Society (EMS) and the International Mathe ...
. His doctoral students include Paul Riebesell.


Works


''Über die Bewegung eines Punktes auf einer Fläche''
1885, Dissertation * ''Die Integration der Hamilton-Jacobischen Differentialgleichung mittelst Separation der Variablen'', 1891, Habilitation * ''Elementare Dynamik der mathematischen Wissenschaft'' in: Encyclopädie der mathematischen Wissenschaft IV,1 (1908) * several papers in the ''Mathematischen Annalen'' (from 1890 to 1909) * numerous papers in "Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse" from 1896 to 1917. * with Friedrich Engel
''Theorie der Parallellinien von Euklid bis auf Gauss''
1895


References


External links

* * * * http://geb.uni-giessen.de/geb/volltexte/2005/2127/ Briefnachlass von Paul Stäckel im Nachlass von Friedrich Engel {{DEFAULTSORT:Stackel, Paul 1862 births 1919 deaths 19th-century German mathematicians 20th-century German mathematicians German historians of mathematics Differential geometers Number theorists University of Halle alumni University of Kiel faculty University of Hanover faculty Heidelberg University faculty Karlsruhe Institute of Technology faculty