Carl Wilhelm Borchardt
Encyclopedia
Carl Wilhelm Borchardt was a German
mathematician
.
Borchardt was born to a Jewish 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
. He studied at the University of Berlin
under Dirichlet
in 1836 and at the University of Königsberg
in 1839. In 1848 he began teaching at the University of Berlin.
He did research in the area of arithmetic-geometric mean, continuing work by Gauss
and Lagrange
. He generalised the results of Kummer
diagonalising symmetric matrices
, using determinant
s and Sturm functions
. He was also an editor of Crelle's Journal
from 1856–80, during which time it was known as Borchardt's Journal.
He died in Rüdersdorf
, Germany
. His grave is preserved in the Protestant Friedhof III der Jerusalems- und Neuen Kirchengemeinde (Cemetery No. III of the congregations of Jerusalem's Church
and New Church
) in Berlin-Kreuzberg
, south of Hallesches Tor
.
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...
mathematician
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
.
Borchardt was born to a Jewish family in Berlin
Berlin
Berlin is the capital city of Germany and is one of the 16 states of Germany. With a population of 3.45 million people, Berlin is Germany's largest city. It is the second most populous city proper and the seventh most populous urban area in the European Union...
. 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
Julius Plücker 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 discovery of the electron. He also vastly extended the study of Lamé curves.- Early...
and Jakob Steiner
Jakob Steiner
Jakob Steiner was a Swiss mathematician who worked primarily in geometry.-Personal and professional life:...
. He studied at the University of Berlin
Humboldt University of Berlin
The Humboldt University of Berlin is Berlin's oldest university, founded in 1810 as the University of Berlin by the liberal Prussian educational reformer and linguist Wilhelm von Humboldt, whose university model has strongly influenced other European and Western universities...
under Dirichlet
Johann Peter Gustav Lejeune Dirichlet
Johann Peter Gustav Lejeune Dirichlet was a German mathematician with deep contributions to number theory , as well as to the theory of Fourier series and other topics in mathematical analysis; he is credited with being one of the first mathematicians to give the modern formal definition of a...
in 1836 and at the University of Königsberg
University of Königsberg
The University of Königsberg was the university of Königsberg in East Prussia. It was founded in 1544 as second Protestant academy by Duke Albert of Prussia, and was commonly known as the Albertina....
in 1839. In 1848 he began teaching at the University of Berlin.
He did research in the area of arithmetic-geometric mean, continuing work by Gauss
Carl Friedrich Gauss
Johann Carl Friedrich Gauss was a German mathematician and scientist who contributed significantly to many fields, including number theory, statistics, analysis, differential geometry, geodesy, geophysics, electrostatics, astronomy and optics.Sometimes referred to as the Princeps mathematicorum...
and Lagrange
Joseph Louis Lagrange
Joseph-Louis Lagrange , born Giuseppe Lodovico Lagrangia, was a mathematician and astronomer, who was born in Turin, Piedmont, lived part of his life in Prussia and part in France, making significant contributions to all fields of analysis, to number theory, and to classical and celestial mechanics...
. He generalised the results of Kummer
Ernst Kummer
Ernst Eduard Kummer was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in ballistics; afterwards, he taught for 10 years in a gymnasium, the German equivalent of high school, where he inspired the mathematical career of Leopold Kronecker.-Life:Kummer...
diagonalising symmetric matrices
Matrix (mathematics)
In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions. The individual items in a matrix are called its elements or entries. An example of a matrix with six elements isMatrices of the same size can be added or subtracted element by element...
, using determinant
Determinant
In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific arithmetic expression, while other ways to determine its value exist as well...
s and Sturm functions
Sturm's theorem
In mathematics, Sturm's theorem is a symbolic procedure to determine the number of distinct real roots of a polynomial. It was named for Jacques Charles François Sturm...
. He was also an editor of Crelle's Journal
Crelle's Journal
Crelle's Journal, or just Crelle, is the common name for a mathematics journal, the Journal für die reine und angewandte Mathematik .- History :...
from 1856–80, during which time it was known as Borchardt's Journal.
He died in Rüdersdorf
Rüdersdorf
Rüdersdorf is a municipality in the district Märkisch-Oderland, in Brandenburg, Germany.-Overview:It is situated 26 km east of Berlin . Rüdersdorf is famous for its limestone-open-pit mining. Today some parts of the mine are used as a museum...
, Germany
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...
. His grave is preserved in the Protestant Friedhof III der Jerusalems- und Neuen Kirchengemeinde (Cemetery No. III of the congregations of Jerusalem's Church
Jerusalem's Church
Jerusalem's Church is one of the churches of the Evangelical Congregation in the Friedrichstadt , a member of the Protestant umbrella organisation Evangelical Church of Berlin-Brandenburg-Silesian Upper Lusatia. The present church building is located in Berlin, borough Friedrichshain-Kreuzberg, in...
and New Church
Deutscher Dom
Deutscher Dom is the colloquial naming for the New Church located in Berlin on the Gendarmenmarkt across from Französischer Dom . Its parish comprised the northern part of the then new quarter of Friedrichstadt, which until then belonged to the parish of the congregations of Jerusalem's Church...
) in Berlin-Kreuzberg
Kreuzberg
Kreuzberg, a part of the combined Friedrichshain-Kreuzberg borough located south of Mitte since 2001, is one of the best-known areas of Berlin...
, south of Hallesches Tor
Hallesches Tor (Berlin U-Bahn)
The underground station Hallesches Tor is part of the Berlin U-Bahn network at the intersection of the east-west bound U1 and the north-south bound U6 in the Kreuzberg district.-Overview:...
.