## 1805 – Hamilton – bio

William Rowan Hamilton was born in 1805 in Dublin, Ireland and was a mathematician, physicist and astronomer.

In mathematics, he studied number theory and various forms of algebras, eventually producing an extension to complex numbers (combinations of real numbers and “imaginary” units that involve the square root of negative one) that is known as quaternions. Rodriques and Gauss also discovered quaternions independently from Hamilton.

In physics, Hamilton reformulated the mechanics of Lagrange to create Hamiltonian mechanics which eventually served as a bridge to quantum mechanics. At the center of this, the Hamilton-Jacobi equation allows the motion of a particle to be represented as a wave, in a similar manner to the Schrodinger equation.

PRECURSOR:

**-0325 – Euclid**

**1642 – Newton**

**1707 – Euler**

**1736 – Lagrange**

**1749 – Laplace**

**1768 – Fourier**

**1777 – Gauss**

**1781 – Poisson**

CONCURRENT:

1795 – Rodrigues

**1802 – Abel**

1804 – Jacobi

1806 – Graves

**1809 – Grassman**

1809 – Liouville

SUBSEQUENT:

1839 – Gibbs

**1845 – Clifford**

**1850 – Heaviside**

**1854 – Poincare**

**1887 – Schrodinger**

**1903 – Kolmogorov**