Carl Wilhelm Borchardt
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Carl Wilhelm Borchardt (22 February 1817 – 27 June 1880) 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 ...
. Borchardt was born to a
Jew Jews ( he, יְהוּדִים, , ) or Jewish people are an ethnoreligious group and nation originating from the Israelites Israelite origins and kingdom: "The first act in the long drama of Jewish history is the age of the Israelites""T ...
ish family 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 ...
. His father, Moritz, was a respected merchant, and his mother was Emma Heilborn. Borchardt studied under a number of tutors, including
Julius Plücker Julius Plücker (16 June 1801 – 22 May 1868) was a German mathematician and physicist. He made fundamental contributions to the field of analytical geometry and was a pioneer in the investigations of cathode rays that led eventually to the dis ...
and
Jakob Steiner Jakob Steiner (18 March 1796 – 1 April 1863) was a Swiss mathematician who worked primarily in geometry. Life Steiner was born in the village of Utzenstorf, Canton of Bern. At 18, he became a pupil of Heinrich Pestalozzi and afterwards st ...
. He studied 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 ...
under Lejeune Dirichlet in 1836 and 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 ...
in 1839. In 1848 he began teaching at the University of Berlin. He did research in the area of the arithmetic-geometric mean, continuing work by
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 Lagrange. He generalised the results of Kummer on diagonalising symmetric
matrices Matrix most commonly refers to: * ''The Matrix'' (franchise), an American media franchise ** ''The Matrix'', a 1999 science-fiction action film ** "The Matrix", a fictional setting, a virtual reality environment, within ''The Matrix'' (franchis ...
, using
determinant In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It characterizes some properties of the matrix and the linear map represented by the matrix. In particular, the determinant is nonzero if a ...
s and Sturm functions. He was also an editor of '' Crelle's Journal'' from 1856 to 1880, during which time it was known as ''Borchardt's Journal''. He died in Rüdersdorf,
Germany Germany,, officially the Federal Republic of Germany, is a country in Central Europe. It is the second most populous country in Europe after Russia, and the most populous member state of the European Union. Germany is situated betwe ...
. His grave is preserved in the
Protestant Protestantism is a branch of Christianity that follows the theological tenets of the Protestant Reformation, a movement that began seeking to reform the Catholic Church from within in the 16th century against what its followers perceived to b ...
''Friedhof III der Jerusalems- und Neuen Kirchengemeinde'' (Cemetery No. III of the congregations of Jerusalem's Church and New Church) in
Berlin-Kreuzberg Kreuzberg () is a district of Berlin, Germany. It is part of the Friedrichshain-Kreuzberg borough located south of Mitte. During the Cold War era, it was one of the poorest areas of West Berlin, but since German reunification in 1990 it has b ...
, south of
Hallesches Tor The Hallesches Tor was located in today's Berlin district Kreuzberg south of Mehringplatz. Today, as a historic monument listed underground station on the site of the former gate bears the name ''Hallesches Tor''. It is a major transfer point f ...
.


See also

*
Cayley's formula In mathematics, Cayley's formula is a result in graph theory named after Arthur Cayley. It states that for every positive integer n, the number of trees on n labeled vertices is n^. The formula equivalently counts the number of spanning tr ...


References

1817 births 1880 deaths Algebraists 19th-century German mathematicians 19th-century German Jews Members of the Prussian Academy of Sciences Scientists from Berlin People from the Province of Brandenburg Humboldt University of Berlin alumni Humboldt University of Berlin faculty University of Königsberg alumni Members of the Göttingen Academy of Sciences and Humanities {{Germany-mathematician-stub