Archibald Hamilton had not had a university education and it is thought that Hamilton's genius came from his mother, Sarah Hutton.

Hamilton developed the variational principle, which was reformulated l… William Rowan Hamilton's father, Archibald Hamilton, did not have time to teach William as he was often away in England pursuing legal business. At four he had made some progress in Hebrew, and in the two succeeding years he acquired the elements of Greek and Latin. Sir William Rowan Hamilton.

Hamilton, Sir William Rowan, mathematician and astronomer, was born in Dublin, 9th August 1805, His father was an attorney; his mother was related to Hutton, the mathematician.Intended for an Indian appointment, he was, when a mere child, sent to study with an uncle at Trim. Sir William Rowan Hamilton, (born August 3/4, 1805, Dublin, Ireland—died September 2, 1865, Dublin), Irish mathematician who contributed to the development of optics, dynamics, and algebra —in particular, discovering the algebra of quaternions.

Sir William Rowan Hamilton was one of the greatest scientists to be born in Ireland. No science lover could ever deny acknowledging this great renowned personality i.e. His work proved significant for the development of quantum mechanics. By the age of five, William had already learned Latin, Greek, and Hebrew. He was a linguist, a mathematician, an astronomer and a physicist all rolled into one and had contributed to a huge extent to the world of algebra, geometry, optics and dynamics.

Being a prominent Irish mathematician, Andrews Professor of Astronomy at Trinity College Dublin, and Royal Astronomer of Ireland, William made acclaimed contributions to optics, classical mechanics, and algebra.

The discoveries, papers, and treatises previously mentioned might well have formed the whole work of a long and laborious life.

But not to speak of his enormous collection of books, full to overflowing with new and original matter, which have been handed over to Trinity College, Dublin, the previous mentioned works barely form the greater portion of what Hamilton has published.

Hamilton originally matured his ideas before putting pen to paper.