Heinrich Jung
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Heinrich Wilhelm Ewald Jung (4 May 1876, Essen – 12 March 1953, Halle (Saale)) 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 ...
, who specialized in
geometry Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is ...
and algebraic geometry.


Biography

Heinrich Jung was born as the son of a ''Bergrat'' (a mining officer of high rank) in Essen and studied from 1895 to 1899 mathematics, physics, and chemistry in
Marburg Marburg ( or ) is a university town in the German federal state (''Bundesland'') of Hesse, capital of the Marburg-Biedenkopf district (''Landkreis''). The town area spreads along the valley of the river Lahn and has a population of approxima ...
/Lahn and
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 ...
under outstanding professors including
Friedrich Schottky Friedrich Hermann Schottky (24 July 1851 – 12 August 1935) was a German mathematician who worked on elliptic, abelian, and theta functions and introduced Schottky groups and Schottky's theorem. He was born in Breslau, Germany (now Wrocław, ...
,
Kurt Hensel Kurt Wilhelm Sebastian Hensel (29 December 1861 – 1 June 1941) was a German mathematician born in Königsberg. Life and career Hensel was born in Königsberg, East Prussia (today Kaliningrad, Russia), the son of Julia (née von Adelson) and lan ...
,
Lazarus Immanuel Fuchs Lazarus Immanuel Fuchs (5 May 1833 – 26 April 1902) was a Jewish-German mathematician who contributed important research in the field of linear differential equations. He was born in Moschin (Mosina) (located in Grand Duchy of Posen) and d ...
,
Hermann Amandus Schwarz Karl Hermann Amandus Schwarz (; 25 January 1843 – 30 November 1921) was a German mathematician, known for his work in complex analysis. Life Schwarz was born in Hermsdorf, Silesia (now Jerzmanowa, Poland). In 1868 he married Marie Kumme ...
, Ferdinand Georg Frobenius, and
Max Planck Max Karl Ernst Ludwig Planck (, ; 23 April 1858 – 4 October 1947) was a German theoretical physicist whose discovery of energy quanta won him the Nobel Prize in Physics in 1918. Planck made many substantial contributions to theoretical p ...
. In his 1899 doctoral dissertation ''Über die kleinste Kugel, die eine räumliche Figur einschließt'' under Schottky he proved the eponymous
Jung's Theorem In geometry, Jung's theorem is an inequality between the diameter of a set of points in any Euclidean space and the radius of the minimum enclosing ball of that set. It is named after Heinrich Jung, who first studied this inequality in 1901. Algo ...
. In 1902 he completed his Habilitation thesis in Marburg and remained there until 1908 as a
privatdocent ''Privatdozent'' (for men) or ''Privatdozentin'' (for women), abbreviated PD, P.D. or Priv.-Doz., is an academic title conferred at some European universities, especially in German-speaking countries, to someone who holds certain formal qualific ...
. Afterwards he was a
Studienrat Studienrat (abbreviated StR) is an official title/rank of higher teachers in the German and Austrian education system. Even though the German and Austrian education systems use the same term, there are differences in the level and usage of this rank ...
(teacher at a secondary school, ''i.e.'', ''Gymnasium'') in Hamburg, before he became in 1913 a professor ordinarius in Kiel. After brief military service in World War I he became in 1918 a professor in Dorpat and in 1920 the successor to
Albert Wangerin Friedrich Heinrich Albert Wangerin (November 18, 1844 – October 25, 1933) was a German mathematician. Early life Wangerin was born on November 18, 1844 in Greifenberg Pomerania, Prussia (now Gryfice, Poland). He studied at the gymnasium at ...
(1844–1933) 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 ...
, where he remained until his retirement as professor emeritus in 1948. In Halle he was not only a professor but also one of the directors of mathematical seminars and dean of the mathematical and sciences faculty and until 1951 he continued to give lectures. He was a member of the
Deutsche Akademie der Naturforscher Leopoldina The German National Academy of Sciences Leopoldina (german: Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften), short Leopoldina, is the national academy of Germany, and is located in Halle (Saale). Founded ...
. Jung developed with his teacher Schottky a general theory of
theta function In mathematics, theta functions are special functions of several complex variables. They show up in many topics, including Abelian varieties, moduli spaces, quadratic forms, and solitons. As Grassmann algebras, they appear in quantum field ...
s. Jung's fame derives mainly from his arithmetic theory of algebraic functions in two variables. His original research in this theory is gathered together in his book ''Einführung in die algebraische Theorie der Funktionen von zwei Veränderlicher''. He also applied his theory to algebraic surfaces (with a presentation of this research in his book ''Algebraische Flächen'') and worked on birational transformations in the plane ( Cremona transformations). During the
Weimar Republic The Weimar Republic (german: link=no, Weimarer Republik ), officially named the German Reich, was the government of Germany from 1918 to 1933, during which it was a constitutional federal republic for the first time in history; hence it is ...
, Jung was a member of the anti-republican Alldeutschen Verband and also ''
Der Stahlhelm ' (German, 'The Steel Helmet, League of Front-Line Soldiers'), commonly known as ''Der Stahlhelm'' ('The Steel Helmet'), was a German First World War veteran's organisation existing from 1918 to 1935. It was part of the "Black Reichswehr" and ...
''. In the Nazi era, Jung was a member of the Nationalsozialistischen Volkswohlfahrt (NSV), the Nationalsozialistischer Deutscher Dozentenbund (NSDDB), and the Nationalsozialistischer Altherrenbund. In 1945 he represented the CDU.


Works

* "Einführung in die algebraische Theorie der Funktionen von zwei Veränderlicher“, Berlin, Akademie Verlag, 1951 * "Algebraische Flächen“, Hannover, Helwingsche Verlagsbuchhandlung, 1925 * "Einführung in die Theorie der algebraischen Funktionen von einer Veränderlichen", Berlin, Walter de Gruyter, 1923


Sources

* Ott-Heinrich Keller and Wolfgang Engel: ''Heinrich Wilhelm Ewald Jung'' in ''Wiss. Z. Martin-Luther-Universität Halle 4'', Heft 3, 1955, pp. 417–422
''Jahresbericht DMV 58'', 1955, pp. 5–10


See also

*
Jung's theorem In geometry, Jung's theorem is an inequality between the diameter of a set of points in any Euclidean space and the radius of the minimum enclosing ball of that set. It is named after Heinrich Jung, who first studied this inequality in 1901. Algo ...


References


External links

*
Biographie an der Universität Halle
* * {{DEFAULTSORT:Jung, Heinrich Wilhelm Ewald 19th-century German mathematicians 20th-century German mathematicians 1876 births 1953 deaths People from Essen Academic staff of the University of Halle People from the Rhine Province Scientists from North Rhine-Westphalia