Arthur Buchheim
   HOME

TheInfoList



OR:

Arthur Buchheim (1859-1888) was a British mathematician. His father Carl Adolf Buchheim was professor of
German language German (, ) is a West Germanic language in the Indo-European language family, mainly spoken in Western Europe, Western and Central Europe. It is the majority and Official language, official (or co-official) language in Germany, Austria, Switze ...
at
King's College London King's College London (informally King's or KCL) is a public university, public research university in London, England. King's was established by royal charter in 1829 under the patronage of George IV of the United Kingdom, King George IV ...
. After attending the
City of London School The City of London School, also known as CLS and City, is a Private schools in the United Kingdom, private day school for Single-sex education, boys in the City of London, England, on the banks of the River Thames next to the Millennium Bridge, ...
, Arthur Buchheim obtained an open scholarship at
New College, Oxford New College is a constituent college of the University of Oxford in the United Kingdom. Founded in 1379 by Bishop William of Wykeham in conjunction with Winchester College as New College's feeder school, New College was one of the first col ...
, where he was the favorite student of
Henry John Stephen Smith Henry John Stephen Smith (2 November 1826 – 9 February 1883) was an Irish mathematician and amateur astronomer remembered for his work in elementary divisors, quadratic forms, and Smith–Minkowski–Siegel mass formula in number theory. In m ...
. He then studied at the
University of Leipzig Leipzig University (), 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 December 1409 by Frederick I, Electo ...
as a student of
Felix Klein Felix Christian Klein (; ; 25 April 1849 â€“ 22 June 1925) was a German mathematician and Mathematics education, mathematics educator, known for his work in group theory, complex analysis, non-Euclidean geometry, and the associations betwe ...
. Eventually, he became mathematical master at the
Manchester Grammar School The Manchester Grammar School (MGS) is a highly Selective school, selective Private_schools_in_the_United_Kingdom, private day school for boys aged 7-18 in Manchester, England, which was founded in 1515 by Hugh Oldham (then Bishop of Exeter). ...
. Buchheim wrote several papers of which some deal with
universal algebra Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures in general, not specific types of algebraic structures. For instance, rather than considering groups or rings as the object of stud ...
. For instance, his work on
William Kingdon Clifford William Kingdon Clifford (4 May 18453 March 1879) was a British mathematician and philosopher. Building on the work of Hermann Grassmann, he introduced what is now termed geometric algebra, a special case of the Clifford algebra named in his ...
's
biquaternion In abstract algebra, the biquaternions are the numbers , where , and are complex numbers, or variants thereof, and the elements of multiply as in the quaternion group and commute with their coefficients. There are three types of biquaternions cor ...
s and
Hermann Grassmann Hermann Günther Grassmann (, ; 15 April 1809 – 26 September 1877) was a German polymath known in his day as a linguist and now also as a mathematician. He was also a physicist, general scholar, and publisher. His mathematical work was littl ...
's
exterior algebra In mathematics, the exterior algebra or Grassmann algebra of a vector space V is an associative algebra that contains V, which has a product, called exterior product or wedge product and denoted with \wedge, such that v\wedge v=0 for every vector ...
which he applied to
screw theory Screw theory is the algebraic calculation of pairs of Vector (mathematics and physics), vectors, also known as ''dual vectors'' – such as Angular velocity, angular and linear velocity, or forces and Moment (physics), moments – that arise in th ...
and
non-Euclidean geometry In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean ge ...
, was cited by
Alfred North Whitehead Alfred North Whitehead (15 February 1861 â€“ 30 December 1947) was an English mathematician and philosopher. He created the philosophical school known as process philosophy, which has been applied in a wide variety of disciplines, inclu ...
(1898), as well as in Klein's encyclopedia by
Élie Cartan Élie Joseph Cartan (; 9 April 1869 – 6 May 1951) was an influential French mathematician who did fundamental work in the theory of Lie groups, differential systems (coordinate-free geometric formulation of PDEs), and differential geometry. He ...
(1908) and in more detail by
Hermann Rothe Hermann Rothe (28 December 1882 in Vienna – 18 December 1923 in Vienna) was an Austrian mathematician. Rothe studied at the University of Vienna and the University of Göttingen. He attained the Doctorate in Engineering in 1909 in Vienna. Th ...
(1916). He was also concerned with the
matrix Matrix (: matrices or matrixes) or MATRIX may refer to: Science and mathematics * Matrix (mathematics), a rectangular array of numbers, symbols or expressions * Matrix (logic), part of a formula in prenex normal form * Matrix (biology), the m ...
theory of
Arthur Cayley Arthur Cayley (; 16 August 1821 – 26 January 1895) was a British mathematician who worked mostly on algebra. He helped found the modern British school of pure mathematics, and was a professor at Trinity College, Cambridge for 35 years. He ...
and
James Joseph Sylvester James Joseph Sylvester (3 September 1814 â€“ 15 March 1897) was an English mathematician. He made fundamental contributions to matrix theory, invariant theory, number theory, partition theory, and combinatorics. He played a leadership ...
.


Works (selection)

* * *


References

{{DEFAULTSORT:Buchheim, Arthur 1859 births 1888 deaths 19th-century English mathematicians Teachers at Manchester Grammar School