Sir William Rowan Hamilton was an Irish mathematician, physicist, and astronomer who made numerous major contributions to algebra, classical mechanics, and optics. His theoretical works and mathematic
Master Noakes, the mental calculator, 1827 lithograph
The sculpture A Hunger for Knowledge in Hamilton's home town of Trim shows a Salmon of Knowledge and is inscribed with the equations of Hamiltonian mechanics
Quaternion Plaque on Broom Bridge in Dublin
Irish commemorative coin celebrating the 200th anniversary of his birth
In linear algebra, the Cayley–Hamilton theorem states that every square matrix over a commutative ring satisfies its own characteristic equation.
William Rowan Hamilton
…Dublin (B.A., 1827; M.A., 1837) Known for Hamiltonian mechanics Hamilton's principle Hamilton's optico-mechanical analogy Hamilton–Jacobi equation Cayley–Hamilton theorem Quaternions Icosian game Conical refraction Spouse Helen Marie Bayly (m. 1833) Children 3, including William Relatives Eliza Mary Hamilton (sister…
Arthur Cayley, F.R.S. (1821–1895) is widely regarded as Britain's leading pure mathematician of the 19th century. Cayley in 1848 went to Dublin to attend lectures on quaternions by Hamilton, their discoverer. Later Cayley impressed him by being the second to publish work on them. Cayley stated the theorem for matrices of dimension 3 or less, and published a proof for the two-dimensional case.
Ferdinand Georg Frobenius (1849–1917), German mathematician. His main interests were elliptic functions, differential equations, and later group theory. In 1878 he gave the first full proof of the Cayley–Hamilton theorem.