Heinrich Bruns
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Ernst Heinrich Bruns (4 September 1848 – 23 September 1919) 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 ...
and
astronomer An astronomer is a scientist in the field of astronomy who focuses their studies on a specific question or field outside the scope of Earth. They observe astronomical objects such as stars, planets, moons, comets and galaxies – in either ...
, who also contributed to the development of the field of theoretical geodesy.


Early life

Heinrich Bruns was born on 4 September 1848 in
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 ...
to Christian Gerhard Bruns, a
landscape painter Landscape painting, also known as landscape art, is the depiction of natural scenery such as mountains, valleys, trees, rivers, and forests, especially where the main subject is a wide view—with its elements arranged into a coherent composi ...
, and his wife, Caroline Henriette Hasse.


Education and professional appointments

Bruns studied mathematics,
astronomy Astronomy () is a natural science that studies celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and evolution. Objects of interest include planets, moons, stars, nebulae, g ...
, and
physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...
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 ...
during 1866–1871 under
Ernst Kummer Ernst Eduard Kummer (29 January 1810 – 14 May 1893) 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 ...
and
Karl Weierstrass Karl Theodor Wilhelm Weierstrass (german: link=no, Weierstraß ; 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father of modern analysis". Despite leaving university without a degree, he studied mathematics ...
and earned a doctoral degree with a dissertation titled ''De proprietate quadam functionis potentialis corporum homogeneorum'' ("On the properties of a certain potential function of homogeneous bodies"). From 1872 to 1873 he was employed at the
Pulkowa Observatory The Pulkovo Astronomical Observatory (russian: Пулковская астрономическая обсерватория, Pulkovskaya astronomicheskaya observatoriya), officially named the Central Astronomical Observatory of the Russian Academ ...
in
Russia Russia (, , ), or the Russian Federation, is a transcontinental country spanning Eastern Europe and Northern Asia. It is the largest country in the world, with its internationally recognised territory covering , and encompassing one-eig ...
as a calculator. There he met and married Marie Wilhelmine Schleussner, who also worked as a calculator at the observatory. In 1873 he became an observer at the Observatory of Dorpat (now Tartu) in
Estonia Estonia, formally the Republic of Estonia, is a country by the Baltic Sea in Northern Europe. It is bordered to the north by the Gulf of Finland across from Finland, to the west by the sea across from Sweden, to the south by Latvia, a ...
, where he remained until 1876. During this time he also worked as a lecturer at the
University of Dorpat The University of Tartu (UT; et, Tartu Ülikool; la, Universitas Tartuensis) is a university in the city of Tartu in Estonia. It is the national university of Estonia. It is the only classical university in the country, and also its biggest ...
. In 1876, Bruns was appointed an associate professor of mathematics at the University of Berlin. He also worked at the
Prussian Military Academy The Prussian Staff College, also Prussian War College (german: Preußische Kriegsakademie) was the highest military facility of the Kingdom of Prussia to educate, train, and develop general staff officers. Location It originated with the ''A ...
and the Geodetic Institute of Potsdam. In 1882 he went to
Saxony Saxony (german: Sachsen ; Upper Saxon: ''Saggsn''; hsb, Sakska), officially the Free State of Saxony (german: Freistaat Sachsen, links=no ; Upper Saxon: ''Freischdaad Saggsn''; hsb, Swobodny stat Sakska, links=no), is a landlocked state of ...
as a full professor of astronomy at the
University of Leipzig Leipzig University (german: Universität Leipzig), in Leipzig in Saxony, Germany, is one of the world's oldest universities and the second-oldest university (by consecutive years of existence) in Germany. The university was founded on 2 Decemb ...
and director of the
Leipzig Leipzig ( , ; Upper Saxon: ) is the most populous city in the German state of Saxony. Leipzig's population of 605,407 inhabitants (1.1 million in the larger urban zone) as of 2021 places the city as Germany's eighth most populous, as ...
Observatory. That same year, he was elected a member of the academy of science '' Leopoldina''.


Work

Heinrich Bruns was mainly engaged in developing the theoretical side of "the shape of the Earth" (the title of one of his major works). The fields of
potential theory In mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when it was realized that two fundamental forces of nature known at the time, namely gra ...
and the study of equilibrium shapes owe many key results to him, including '' Bruns formula''. For the study of astronomical refraction he developed an unusual method of calculating the vertical gradient of
air temperature Atmospheric temperature is a measure of temperature at different levels of the Earth's atmosphere. It is governed by many factors, including incoming solar radiation, humidity and altitude. When discussing surface air temperature, the annual atm ...
together with his assistant
Felix Hausdorff Felix Hausdorff ( , ; November 8, 1868 – January 26, 1942) was a German mathematician who is considered to be one of the founders of modern topology and who contributed significantly to set theory, descriptive set theory, measure theory, an ...
. However, due to a lack of sufficiently accurate measurement methods this method has not been used in practice. The 20th century's higher geodesy (a sub-field of geodesy concerned with measuring the earth on a global scale) as practiced by
Karl Ledersteger Karl Ledersteger (11 November 1900, in Vienna – 24 September 1972, near Vienna) was an important geodesist and geophysicist. After studies of astronomy, mathematics and geodesy he worked in Germany and later in the National Survey of Austria. ...
was based on theories developed by Bruns, including "Bruns' polyhedron". This construct was envisioned as a world-spanning net.
Satellite geodesy Satellite geodesy is geodesy by means of artificial satellites—the measurement of the form and dimensions of Earth, the location of objects on its surface and the figure of the Earth's gravity field by means of artificial satellite techniques ...
turned this thought experiment into a reality with the development of the
GPS The Global Positioning System (GPS), originally Navstar GPS, is a satellite-based radionavigation system owned by the United States government and operated by the United States Space Force. It is one of the global navigation satellite sy ...
.


Publications

* ''Über die Perioden der elliptischen Integrale erster und zweiter Ordnung'' (On the periods of
elliptic integrals In integral calculus, an elliptic integral is one of a number of related functions defined as the value of certain integrals, which were first studied by Giulio Fagnano and Leonhard Euler (). Their name originates from their originally arising i ...
of first and second order). (Dorpat 1875) * ''Die Figur der Erde'' (The shape of the Earth). (Berlin 1878) * ''Über eine Aufgabe der Ausgleichsrechnung'' (On a problem of
curve fitting Curve fitting is the process of constructing a curve, or mathematical function, that has the best fit to a series of data points, possibly subject to constraints. Curve fitting can involve either interpolation, where an exact fit to the data i ...
). (Leipzig 1886) * ''Über die Integrale des Vielkörperproblems'' (On the integrals of the
many-body problem The many-body problem is a general name for a vast category of physical problems pertaining to the properties of microscopic systems made of many interacting particles. ''Microscopic'' here implies that quantum mechanics has to be used to provid ...
). (Leipzig 1887) * ''Das Eikonal'' (The Eikonal). (Leipzig 1895)


References

* * Karl Ledersteger, Volume V (J.E.K.) ''Astronomische und Physikalische Geodäsie'' (Astronomical and Physical Geodesy), p. 871. ''Themen der Erdfigur ''(Topics about the earth's shape), Verlag J.B.Metzler, Stuttgart 1969. * Felix Hausdorff, ''Gesammelte Werke, Band V (Astronomie & Optik)'' (Collected Works, Volume V (Astronomy & Optics)), pp. 135–399, 544–735, Springer-Verlag, Berlin 2006.
Biography of Heinrich Bruns


External links

*

in the catalog of the
German National Library The German National Library (DNB; german: Deutsche Nationalbibliothek) is the central archival library and national bibliographic centre for the Federal Republic of Germany. It is one of the largest libraries in the world. Its task is to colle ...

Heinrich Bruns in Saxon biography

Heinrich Bruns
in the catalog of professors at the University of Leipzig

at the University of Leipzig (summer term 1882 to summer term 1914)
Publications by H. Bruns
at the
Astrophysics Data System The SAO/NASA Astrophysics Data System (ADS) is an online database of over 16 million astronomy and physics papers from both peer reviewed and non-peer reviewed sources. Abstracts are available free online for almost all articles, and full scanned ...
* F. Hayn
''Anzeige des Todes von H. Bruns.''
Astronomische Nachrichten, Vol. 210 (1919), p. 15. (Obituary) {{DEFAULTSORT:Bruns, Heinrich 1848 births 1919 deaths 19th-century German mathematicians Scientists from Berlin 19th-century German astronomers Humboldt University of Berlin alumni Leipzig University faculty Humboldt University of Berlin faculty 20th-century German mathematicians German geodesists 20th-century German astronomers