Proceedings of the Royal Irish Academy, volume III, pp.1-16, 109, 273-92 and xxx-lx. Dublin: M.H. Gill, 1847. FIRST EDITION. Hamilton's major contribution to mathematics, quaternions, the linear algebra of rotations in space of three dimensions, came to him in a flash of inspiration on 16 October 1843, after 22 years spent searching for a system of expressing hypercomplex numbers that would give a 'natural' algebraic representation of three-dimensional space. Hamilton's quaternions were important in the development of later noncommutative algebra such as matrices and vector analysis. PMM 334; Norman 985." /> HAMILTON, Sir William Rowan (1805-1865). "Theory of Quaternions", in: <I>Proceedings of the Royal Irish Academy</I>, volume III, pp.1-16, 109, 273-92 and xxx-lx. Dublin: M.H. Gill, 1847. FIRST EDITION. Hamilton's major contribution to mathematics, quaternions, the linear algebra of rotations in space of three dimensions, came to him in a flash of inspiration on 16 October 1843, after 22 years spent searching for a system of expressing hypercomplex numbers that would give a 'natural' algebraic representation of three-dimensional space. Hamilton's quaternions were important in the development of later noncommutative algebra such as matrices and vector analysis. PMM 334; Norman 985. | Christie's