William Rowan Hamilton is more numerically stable than combining many matrix transformations. In control and modelling applications, quaternions do not have a computational singularity (undefined division by zero) that can occur for quarter-turn rotations (90 degrees) that are achievable by many Air, Sea and Space vehicles. In pure mathematics, quaternions show up significantly as one of the four finite-dimensional normed division algebras over the real numbers, with applications throughout algebra and geometry. It is believed by some modern mathematicians that Hamilton's work on quaternions was satirized by Charles Lutwidge Dodgson in Alice in Wonderland. In particular, the Mad Hatter's tea party was meant
Mark Dodgson Mark Dodgson Mark Dodgson (born 1 May 1957) is an Australian academic and author. His research on the innovation process has influenced innovation management and policy worldwide. Born in Norwich, UK, he grew up in Wales and Uganda, where his father was pilot to Presidents Milton Obote and Idi Amin. He is the brother of author, Philip Pullman. After a number of years working as a lorry driver and drayman in London, Dodgson completed his PhD in two years at Imperial College London and worked at the Science Policy Research Unit at University of Sussex for eight years. During this