The book of the outstanding Irish scientist W.R. Hamilton (1805-1865) includes fundamental works on geometric optics, physical optics, optical-mechanical analogy, dynamics, and the theory of quaternions. The Appendices contain articles on the life and work of the scientist, comments on his works, and a bibliography of works. Many works are published in Russian for the first time. The book is of interest to mathematicians, mechanics, physicists and historians of science.