Hamilton Mathematics Institute | Wikipedia audio article
Channel: wikipedia tts
Date: 07/10/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/William_Rowan_Hamilton


00:00:22 1 Life
00:00:34 1.1 Early life
00:00:56 1.2 Education
00:01:19 1.3 Personal life
00:01:42 1.4 Death and legacy
00:02:04 2 Physics
00:02:38 3 Mathematics
00:03:12 4 Quaternions
00:03:35 5 Other original work
00:03:47 6 Commemorations of Hamilton
00:04:21 7 Publications
00:04:43 8 See also
00:05:06 9 References
00:05:29 10 Sources



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SUMMARY
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Sir William Rowan Hamilton MRIA (4 August 1805 – 2 September 1865) was an Irish mathematician. He made important contributions to optics, classical mechanics and algebra. Although Hamilton was not a physicist–he regarded himself as a pure mathematician–his work was of major importance to physics, particularly his reformulation of Newtonian mechanics, now called Hamiltonian mechanics. This work has proven central to the modern study of classical field theories such as electromagnetism, and to the development of quantum mechanics. In pure mathematics, he is best known as the inventor of quaternions.
William Rowan Hamilton's scientific career included the study of geometrical optics, classical mechanics, adaptation of dynamic methods in optical systems, applying quaternion and vector methods to problems in mechanics and in geometry, development of theories of conjugate algebraic couple functions (in which complex numbers are constructed as ordered pairs of real numbers), solvability of polynomial equations and general quintic polynomial solvable by radicals, the analysis on Fluctuating Functions (and the ideas from Fourier analysis), linear operators on quaternions and proving a result for linear operators on the space of quaternions (which is a special case of the general theorem which today is known as the Cayley–Hamilton theorem). Hamilton also invented "icosian calculus", which he used to investigate closed edge paths on a dodecahedron that visit each vertex exactly once.