Arthur Buchheim

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Arthur Buchheim (1859-1888) was a British mathematician.

His father Carl Adolf Buchheim was professor of German language at King's College London. After attending the City of London School, Arthur Buchheim obtained an open scholarship at New College, Oxford, where he was the favorite student of Henry John Stephen Smith. He then studied at the University of Leipzig as a student of Felix Klein. Eventually, he became mathematical master at the Manchester Grammar School.{{Cite journal|author=Sylvester, J. J.|year=1888|journal=Nature|volume=38|issue=987|title=The Late Arthur Buchheim|pages=515–516|url=https://archive.org/stream/naturejournal38londuoft|doi=10.1038/038515d0| bibcode=1888Natur..38..515S |doi-access=free}}{{Cite journal|author=Tattersall, J.|year=2006|journal=Proc. Can. Soc. Hist. And Phil. Math.|volume=18|title=Arthur Buchheim: Mathematician of Great Promise|pages=200–207}}Nicholas Higham: [https://nickhigham.wordpress.com/2013/01/31/arthur-buchheim/ Arthur Buchheim]

Buchheim wrote several papers of which some deal with universal algebra. For instance, his work on William Kingdon Clifford's biquaternions and Hermann Grassmann's exterior algebra which he applied to screw theory and non-Euclidean geometry, was cited by Alfred North Whitehead (1898),{{cite book|author=Whitehead, A.|title=A Treatise on Universal Algebra|year=1898|pages=[https://archive.org/details/principlesarith00coxgoog/page/n190 370]|publisher=Cambridge University Press|url=https://archive.org/details/principlesarith00coxgoog}} as well as in Klein's encyclopedia by Élie Cartan (1908){{Cite journal |author1=Cartan, É. |author2=Study, E. |year=1908 |title=Nombres complexes|journal= Encyclopédie des Sciences Mathématiques Pures et Appliquées|volume=1|issue=1 |pages=328–468|url=http://gallica.bnf.fr/ark:/12148/bpt6k2440f/f173.image}} and in more detail by Hermann Rothe (1916).{{Cite journal|author=Rothe, H.|year=1916|journal=Encyclopädie der Mathematischen Wissenschaften|volume=3.1.1|title=Systeme geometrischer Analyse|pages=1282–1425|url=http://resolver.sub.uni-goettingen.de/purl?PPN360609767}} He was also concerned with the matrix theory of Arthur Cayley and James Joseph Sylvester.