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Eduard Study

Eduard Study
EduardStudy.jpg
Born (1862-03-23)23 March 1862
Coburg
Died 6 January 1930(1930-01-06) (aged 67)
Bonn
Nationality German
Fields Mathematics
Alma mater Munich
Doctoral advisor Philipp Ludwig Seidel
Gustav Conrad Bauer
Doctoral students Ernst August Weiß
Known for Geometrie der Dynamen
Invariant theory
Spherical trigonometry

Eduard Study, more properly Christian Hugo Eduard Study (March 23, 1862 – January 6, 1930), was a German mathematician known for work on invariant theory of ternary forms (1889) and for the study of spherical trigonometry. He is also known for contributions to space geometry, hypercomplex numbers, and criticism of early physical chemistry.

Study was born in Coburg in the Duchy of Saxe-Coburg-Gotha. He died in Bonn.

Eduard Study began his university career in Jena, Strasbourg, Leipzig, and Munich. He loved to study biology, especially entomology. He was awarded the doctorate in mathematics at the University of Munich in 1884. Paul Gordan, an expert in invariant theory was at Leipzig, and Study returned there as Privatdozent. In 1888 he moved to Marburg and in 1893 embarked on a speaking tour in the U.S.A. He appeared at the first International Congress of Mathematicians in Chicago as part of the World's Columbian Exposition and took part in mathematics at Johns Hopkins University. Back in Germany, in 1894, he was appointed extraordinary professor at Göttingen. Then he gained the rank of full professor in 1897 at Greifswald. In 1904 he was called to the University of Bonn as the position held by Rudolf Lipschitz was vacant. There he settled until retirement in 1927.

In 1891 Eduard Study published "Of Motions and Translations, in two parts". It treats the Euclidean group E(3). The second part of his article introduces the associative algebra of dual quaternions, that is numbers

where abc, and d are dual numbers and {1, ijk} multiply as in the quaternion group. Actually Study uses notation such that


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