Mathematician:Arthur Cayley

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

Also one of the pioneers of matrix algebra, and hence sometimes cited as one of the "fathers" of matrix 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 Algebra
 * Cayley Table
 * Cayley Diagram
 * Cayley-Dickson Algebra (with )
 * Cayley-Dickson Construction (with )
 * Cayley-Hamilton Theorem (with )
 * Grassmann-Cayley Algebra (with )
 * Cayley-Menger Determinant (with )

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).
 * 1889: A theorem on trees (in which Cayley's Formula is introduced).

Notable Quotes

 * It is difficult to give an idea of the vast scope of modern mathematics. The word "scope" is not the best; I have in mind an expanse swarming with beautiful details, not the uniform expanse of a bare plain, but a region of a beautiful country, first seen at a distance, but worthy of being surveyed from one end to the other and studied even in its smallest details: its valleys, streams, rocks, woods and flowers.