# Mathematician:William Rowan Hamilton

## Mathematician

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

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
• 1824: Entered Trinity College
• 1827: Invited to apply for vacant Professorship of Astronomy at University of Dublin, and was so appointed
• Died: 2 Sept 1865, Dublin, Ireland

## Theorems and Definitions

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)
• 1844: On Quaternions; or on a new System of Imaginaries in Algebra: 1 (Phil. Mag. Vol. 25: pp. 10 – 13)
• 1844: On Quaternions; or on a new System of Imaginaries in Algebra: 2 (Phil. Mag. Vol. 25: pp. 241 – 246)
• 1845: On Quaternions; or on a new System of Imaginaries in Algebra: 3 (Phil. Mag. Vol. 26: pp. 220 – 224)
• 1846: On Quaternions; or on a new System of Imaginaries in Algebra: 4 (Phil. Mag. Vol. 29: pp. 26 – 31)
• 1846: On Quaternions; or on a new System of Imaginaries in Algebra: 5 (Phil. Mag. Vol. 29: pp. 113 – 122)
• 1846: On Quaternions; or on a new System of Imaginaries in Algebra: 6 (Phil. Mag. Vol. 29: pp. 326 – 328)
• 1847: On Quaternions; or on a new System of Imaginaries in Algebra: 7 (Phil. Mag. Vol. 31: pp. 458 – 461)
• 1847: On Quaternions; or on a new System of Imaginaries in Algebra: 8 (Phil. Mag. Vol. 31: pp. 214 – 219)
• 1847: On Quaternions; or on a new System of Imaginaries in Algebra: 9 (Phil. Mag. Vol. 31: pp. 278 – 283)
• 1847: On Quaternions; or on a new System of Imaginaries in Algebra: 10 (Phil. Mag. Vol. 32: pp. 511 – 519)
• 1848: On Quaternions; or on a new System of Imaginaries in Algebra: 11 (Phil. Mag. Vol. 32: pp. 367 – 374)
• 1848: On Quaternions; or on a new System of Imaginaries in Algebra: 12 (Phil. Mag. Vol. 33: pp. 58 – 60)
• 1849: On Quaternions; or on a new System of Imaginaries in Algebra: 13 (Phil. Mag. Vol. 34: pp. 295 – 297)
• 1849: On Quaternions; or on a new System of Imaginaries in Algebra: 14 (Phil. Mag. Vol. 34: pp. 340 – 343)
• 1849: On Quaternions; or on a new System of Imaginaries in Algebra: 15 (Phil. Mag. Vol. 34: pp. 425 – 439)
• 1849: On Quaternions; or on a new System of Imaginaries in Algebra: 16 (Phil. Mag. Vol. 35: pp. 133 – 137)
• 1849: On Quaternions; or on a new System of Imaginaries in Algebra: 17 (Phil. Mag. Vol. 35: pp. 200 – 204)
• 1850: On Quaternions; or on a new System of Imaginaries in Algebra: 18 (Phil. Mag. Vol. 36: pp. 305 – 306)