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Arthur Cayley was a British mathematician. He helped found the modern British school of pure mathematics.
As a child, Cayley enjoyed solving complex maths problems for amusement. He entered Trinity College, Cambridge, where he excelled in Greek, French, German, and Italian, as well as mathematics. He worked as a lawyer for 14 years.
He postulated the Cayley–Hamilton theorem—that every square matrix is a root of its own characteristic polynomial, and verified it for matrices of order 2 and 3. He was the first to define the concept of a group in the modern way—as a set with a binary operation satisfying certain laws. Formerly, when mathematicians spoke of "groups", they had meant permutation groups. Cayley's theorem is named in honour of Cayley.
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The collected mathematical papers of Arthur Cayley.: Supplementary Volume
1889, The University Press
in English
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- Created April 1, 2008
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April 14, 2010 | Edited by Open Library Bot | Linked existing covers to the edition. |
October 20, 2009 | Edited by WorkBot | add edition to work page |
April 1, 2008 | Created by an anonymous user | Imported from Internet Archive item record |