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Eduard Selling (5 November 1834 in
Ansbach Ansbach (; ; East Franconian: ''Anschba'') is a city in the German state of Bavaria. It is the capital of the administrative region of Middle Franconia. Ansbach is southwest of Nuremberg and north of Munich, on the river Fränkische Rez ...
– 31 January 1920 in
Munich Munich ( ; german: München ; bar, Minga ) is the capital and most populous city of the German state of Bavaria. With a population of 1,558,395 inhabitants as of 31 July 2020, it is the third-largest city in Germany, after Berlin and Ha ...
) 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, mathematical structure, structure, space, Mathematica ...
and inventor of
calculating machine A mechanical calculator, or calculating machine, is a mechanical device used to perform the basic operations of arithmetic automatically, or (historically) a simulation such as an analog computer or a slide rule. Most mechanical calculators wer ...
s. Selling studied mathematics at the Universities of
Göttingen Göttingen (, , ; nds, Chöttingen) is a college town, university city in Lower Saxony, central Germany, the Capital (political), capital of Göttingen (district), the eponymous district. The River Leine runs through it. At the end of 2019, t ...
and
Munich Munich ( ; german: München ; bar, Minga ) is the capital and most populous city of the German state of Bavaria. With a population of 1,558,395 inhabitants as of 31 July 2020, it is the third-largest city in Germany, after Berlin and Ha ...
(under
Philipp Ludwig von Seidel Philipp Ludwig von Seidel (; 24 October 1821 in Zweibrücken, Germany – 13 August 1896 in Munich, German Empire) was a German mathematician. He was the son of Julie Reinhold and Justus Christian Felix Seidel. Lakatos credits von Seidel with d ...
). He obtained the
doctorate A doctorate (from Latin ''docere'', "to teach"), doctor's degree (from Latin ''doctor'', "teacher"), or doctoral degree is an academic degree awarded by universities and some other educational institutions, derived from the ancient formalism '' ...
in Munich in 1859, under the supervision of Bernhard Riemann.Selling (1859): ''Über Primzahlen und die Zusammensetzung der Zahlen aus ihnen in dem rationellen und in complex-irrationellen Zahlengebieten'' On recommendation of
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 ...
he became professor extraordinarius of mathematics at the
University of Würzburg The Julius Maximilian University of Würzburg (also referred to as the University of Würzburg, in German ''Julius-Maximilians-Universität Würzburg'') is a public research university in Würzburg, Germany. The University of Würzburg is one o ...
in 1860 – against the will of the philosophical faculty and the mathematics professor Aloys Mayr. There, he also taught astronomy and became
conservator-restorer A conservator-restorer is a professional responsible for the preservation of artistic and cultural artifacts, also known as cultural heritage. Conservators possess the expertise to preserve cultural heritage in a way that retains the integrity ...
at the astronomical department in 1879. In 1873 he wrote an important paper on binary and ternary
quadratic forms In mathematics, a quadratic form is a polynomial with terms all of degree two ("form" is another name for a homogeneous polynomial). For example, :4x^2 + 2xy - 3y^2 is a quadratic form in the variables and . The coefficients usually belong to ...
which was also translated into French and cited by
Henri Poincaré Jules Henri Poincaré ( S: stress final syllable ; 29 April 1854 â€“ 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science. He is often described as a polymath, and in mathematics as "The ...
,
Émile Picard Charles Émile Picard (; 24 July 1856 – 11 December 1941) was a French mathematician. He was elected the fifteenth member to occupy seat 1 of the Académie française in 1924. Life He was born in Paris on 24 July 1856 and educated there at th ...
and
Paul Gustav Heinrich Bachmann Paul Gustav Heinrich Bachmann (22 June 1837 – 31 March 1920) was a German mathematician. Life Bachmann studied mathematics at the university of his native city of Berlin and received his doctorate in 1862 for his thesis on group theory. He t ...
. Beginning with 1877 he also became concerned with
insurance Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to hedge ...
, and participated in the reorganization of the pensions in
Bavaria Bavaria ( ; ), officially the Free State of Bavaria (german: Freistaat Bayern, link=no ), is a state in the south-east of Germany. With an area of , Bavaria is the largest German state by land area, comprising roughly a fifth of the total l ...
on behalf of the Bavarian government. His application for a promotion to professor ordinarius was declined in 1891. In 1906 he became
emeritus ''Emeritus'' (; female: ''emerita'') is an adjective used to designate a retired chair, professor, pastor, bishop, pope, director, president, prime minister, rabbi, emperor, or other person who has been "permitted to retain as an honorary title ...
. For his own extensive computations (for instance,
signed-digit representation In mathematical notation for numbers, a signed-digit representation is a positional numeral system with a set of signed digits used to encode the integers. Signed-digit representation can be used to accomplish fast addition of integers because ...
), he initially used computational machines by
Thomas de Colmar Charles Xavier Thomas de Colmar (May 5, 1785 – March 12, 1870) was a French inventor and entrepreneur best known for designing, patenting and manufacturing the first commercially successful mechanical calculator, the Arithmometer, and for fou ...
with which he was not satisfied. Therefore, he built multiplication machines after the model of a
Pantograph A pantograph (, from their original use for copying writing) is a mechanical linkage connected in a manner based on parallelograms so that the movement of one pen, in tracing an image, produces identical movements in a second pen. If a line dr ...
, for which he got a patent in 1886, and a prize at the Chicago World's Fair in 1893. However, the machine was complicated to use and to produce, so it didn't gain much importance. Some 30 to 40 devices were produced until 1898. He also built a few copies of an improved version and designed a third electrical machine (patent in 1894). The later inventor of computational machines,
Christel Hamann Christel Bernhard Julius Hamann (born February 27, 1847 in Hammelwarden, Oldenburg – died June 9, 1948 in Berlin, Germany) was a German-born inventor of Computing Machines. Early life and education Hamann's father was an Oldenburg border gu ...
, participated in those constructions. Some copies of Selling's machine can be seen, for instance, in the
Deutsches Museum The Deutsches Museum (''German Museum'', officially (English: ''German Museum of Masterpieces of Science and Technology'')) in Munich, Germany, is the world's largest museum of science and technology, with about 28,000 exhibited objects from ...
in Munich.


References


Works


External links


Selling in Rechnerlexikon
an
Stephan Weiss ''Die Multipliziermaschinen von Eduard Selling'', 2004, pdf
{{DEFAULTSORT:Selling, Eduard 1834 births 1920 deaths 19th-century German mathematicians 20th-century German mathematicians University of Göttingen alumni Ludwig Maximilian University of Munich alumni University of Würzburg faculty