Author

Publication

1889 - The University Press, Cambridge [Eng., England

Language

English

Word Count

3,250 words, Guess

Page Count

13 pages

Identifiers

Description

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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Links

Other Editions

  • The collected mathematical papers of Arthur Cayley.The University Press1889
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