Mathematician:Arthur Cayley

English mathematician most famous for his work in group theory and graph theory.

Nationality
English

History

 * Born: 16 August 1821
 * Died: 26 January 1895

Theorems and Definitions

 * Cayley's Theorem (Group Theory)
 * Cayley's Theorem (Graph Theory), also known as Cayley's Formula
 * Cayley's Theorem (Category Theory)
 * Cayley Numbers, also known as octonions.
 * Cayley Table
 * Cayley Diagram
 * Cayley-Dickson Algebra (with L.E. Dickson)
 * Cayley-Dickson Construction (with L.E. Dickson)
 * Cayley-Hamilton Theorem (with William Rowan Hamilton)
 * Grassmann-Cayley Algebra (with Hermann Grassmann)

Books and Papers

 * 1854: On a property of the caustic by the refraction of a circle
 * 1854: On the theory of groups, as depending on the symbolic equation $\theta^n - 1$
 * 1857: On the Theory of the Analytical Forms called Trees
 * 1875: On the Analytical Forms called Trees, with Applications to the Theory of Chemical Combinations
 * 1881: On the Analytical Forms called Trees
 * 1889: On the Theory of Groups (American Journal of Mathematics, Vol. 11, No. 2)
 * 1889: A theorem on trees (in which Cayley's Formula is introduced).

Also see

 * : Chapter $\text{XXI}$
 * : Introduction
 * : $\S 2$: Summary