Arthur Cayley (nonfiction)
Arthur Cayley F.R.S. (/ˈkeɪli/; 16 August 1821 – 26 January 1895) 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 honor of Cayley.
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External links:
- Arthur Cayley @ Wikipedia