# Mathematician:William Rowan Hamilton

## Contents

## Mathematician

Irish mathematician and physicist famous (among other things) for:

- Creating the field of Hamiltonian mechanics;
- The discovery of quaternions;
- Development of aspects of graph theory.

Coined the term associative in about 1844.

## Nationality

Irish, although at that time Ireland was politically part of Great Britain.

## History

- Born: 4 Aug 1805, Dublin, Ireland
- Died: 2 Sept 1865, Dublin, Ireland

## Theorems and Definitions

- Hamiltonian Mechanics
- Hamiltonian
- Hamiltonian Graph
- Hamiltonian Path
- Hamilton Cycle
- Hamiltonian Group
- Hamiltonian Matrix
- Quaternions
- Hamilton's Equations
- Hamilton-Jacobi Equation (with Carl Gustav Jacob Jacobi)
- Cayley-Hamilton Theorem (with Arthur Cayley)

Results named for **William Rowan Hamilton** can be found here.

Definitions of concepts named for **William Rowan Hamilton** can be found here.

## Publications

- 1826:
*Theory of Systems of Rays* - 1834:
*On a General Method in Dynamics* - 1835:
*Algebra as the Science of Pure Time* - 16 October 1843: $i^2 = j^2 = k^2 = i j k = -1$ (in the stone of Brougham Bridge)
- 1853:
*Lectures on Quaternions* *Elements of Quaternions*(posthumous)

## Sources

- John J. O'Connor and Edmund F. Robertson: "William Rowan Hamilton": MacTutor History of Mathematics archive

- 1937: Eric Temple Bell:
*Men of Mathematics*: Chapter $\text{XIX}$