Mathematician:Arthur Cayley

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

The first to study groups as an abstract concept in their own right.

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 in Richmond, Surrey, England
 * Died: 26 January 1895 in Cambridge, Cambridgeshire, England

Theorems and Definitions

 * Cayley's Representation Theorem
 * Cayley's Theorem (Graph Theory), also known as Cayley's Formula
 * Cayley's Theorem (Category Theory)


 * Cayley Numbers, also known as Graves-Cayley Numbers (with ), or octonions.
 * Cayley Algebra
 * Cayley Table
 * Cayley Diagram
 * Cayley-Dickson Algebra (with )
 * Cayley-Dickson Construction (with )


 * Cayley-Bacharach Theorem (with )
 * Cayley-Hamilton Theorem (with )


 * Grassmann-Cayley Algebra (with )
 * Cayley-Menger Determinant (with )
 * Cayley-Klein Model (with ) (also known as the Beltrami-Klein Model, with, the Klein Model or the Klein Disk Model)

Publications

 * 1854: On a property of the caustic by the refraction of a circle
 * 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
 * 1875: On the Analytical Forms called Trees, with Applications to the Theory of Chemical Combinations
 * 1881: On 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
 * 1881: On the Analytical Forms called Trees

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.