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
O ...
.
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""The ...
ish family in
Berlin.
[
] His father, Moritz, was a respected merchant, and his mother was Emma Heilborn.
Borchardt studied under a number of tutors, including
Julius Plücker 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 ...
. 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 o ...
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
Joseph-Louis Lagrange (born Giuseppe Luigi Lagrangia[Kummer Kummer is a German surname. Notable people with the surname include:
* Bernhard Kummer (1897–1962), German Germanist
* Clare Kummer (1873—1958), American composer, lyricist and playwright
* Clarence Kummer (1899–1930), American jockey
* Chri ...](_blank)
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'' (franchi ...
, 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 an ...
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
Rüdersdorf is a municipality in the district Märkisch-Oderland, in Brandenburg, Germany, near Berlin.
It is served by the Schöneiche bei Berlin tramway which runs from Rüdersdorf through Schöneiche to Berlin-Friedrichshagen station on the ...
,
Germany. 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 ...
''Friedhof III der Jerusalems- und Neuen Kirchengemeinde'' (Cemetery No. III of the congregations of
Jerusalem's Church
Jerusalem Church (german: Jerusalem(s)kirche, Jerusalemer Kirche) is one of the churches of the Evangelical Congregation in the Friedrichstadt (under this name since 2001), a member of the Protestant umbrella organisation Evangelical Church of ...
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.
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 trees ...
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