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William Rowan Hamilton information


Sir William Rowan Hamilton
Sir William Rowan Hamilton (1805–1865)
Born3 or 4 August 1805
Dublin, Ireland
Died2 September 1865(1865-09-02) (aged 60)
Dublin, Ireland
NationalityIrish
CitizenshipBritish (United Kingdom of Great Britain and Ireland)
Alma materTrinity College Dublin
Known forHamilton's principle
Hamiltonian mechanics
Hamiltonians
Hamilton–Jacobi equation
Quaternions
Biquaternions
Hamiltonian path
Icosian calculus
Nabla symbol
Versor
Coining the word 'tensor'
Coining the word 'scalar'
cis notation
Hamiltonian vector field
Icosian game
Universal algebra
Hodograph
Hamiltonian group
Cayley–Hamilton theorem
SpouseHelen Maria Bayly
ChildrenWilliam Edwin Hamilton, Archibald Henry Hamilton, Helen Eliza Amelia O'Regan, née Hamilton
AwardsRoyal Medal (1835)
Cunningham Medal (1834 and 1848)
Scientific career
FieldsMathematics, astronomy, physics
InstitutionsTrinity College, Dublin
Academic advisorsJohn Brinkley

Sir William Rowan Hamilton MRIA, FRAS (3/4 August 1805 – 2 September 1865)[1][2] was an Irish mathematician, astronomer, and physicist. He was the Andrews Professor of Astronomy at Trinity College Dublin, and Royal Astronomer of Ireland, living at Dunsink Observatory.

Hamilton was Dunsink's third director, having worked there from 1827 to 1865. His career included the study of geometrical optics, Fourier analysis, and quaternions, the last of which made him one of the founders of modern linear algebra.[3] He has made major contributions in optics, classical mechanics, and abstract algebra. His work is fundamental to modern theoretical physics, particularly his reformulation of Newtonian mechanics. Hamiltonian mechanics including its Hamilitonian function are now central both to electromagnetism and quantum mechanics.

  1. ^ Hamilton was born at midnight. In his younger years, his birthday was celebrated on 3 August, but after the birth of his second son on 4 August 1835 he changed it to 4 August.
  2. ^ Graves (1882) Vol. I, p. 1
  3. ^ Cite error: The named reference ODNB was invoked but never defined (see the help page).

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William Rowan Hamilton

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Sir William Rowan Hamilton MRIA, FRAS (3/4 August 1805 – 2 September 1865) was an Irish mathematician, astronomer, and physicist. He was the Andrews Professor...

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Icosian game

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is a mathematical game invented in 1856 by Irish mathematician William Rowan Hamilton. It involves finding a Hamiltonian cycle on a dodecahedron, a cycle...

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Hamiltonian path

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paths and cycles are named after William Rowan Hamilton, who invented the icosian game, now also known as Hamilton's puzzle, which involves finding a...

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Hamiltonian mechanics

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of Lagrangian mechanics that emerged in 1833. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces (generalized) velocities q ˙ i {\displaystyle...

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Hamilton

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simply as Hamilton Clan Hamilton, an ancient Scottish kindred Lewis Hamilton (born 1985), a British Formula One driver William Rowan Hamilton (1805–1865)...

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Classical mechanics

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based on energy were developed by Euler, Joseph-Louis Lagrange, William Rowan Hamilton and others, leading to the development of analytical mechanics (which...

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Quaternion

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mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. The algebra of quaternions is often denoted by H (for Hamilton),...

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List of things named after William Rowan Hamilton

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named after William Rowan Hamilton: Cayley–Hamilton theorem Hamilton's equations Hamilton's principle Hamilton–Jacobi equation Hamilton–Jacobi–Bellman...

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Trinity College Dublin

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Robert Mallet, Bartholomew Lloyd, George Johnstone Stoney and William Rowan Hamilton. Notable faculty members and lecturers at the university included...

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Conical refraction

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splits into a hollow cone. This effect was predicted in 1832 by William Rowan Hamilton and subsequently observed by Humphrey Lloyd in the next year. It...

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Broom Bridge

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plaque reads: Here as he walked by on the 16th of October 1843 Sir William Rowan Hamilton in a flash of genius discovered the fundamental formula for quaternion...

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Timeline of Irish inventions and discoveries

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1843: Quaternion (a mathematical entity) first described by Sir William Rowan Hamilton. 1844: Hollow needle in syringe created by Francis Rynd. 1846: Seismology...

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Nabla symbol

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was introduced in 1837 by the Irish mathematician and physicist William Rowan Hamilton, who called it ◁. (The unit vectors { i , j , k } {\displaystyle...

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Versor

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from the verb (i.e. versor = "the turner"). It was introduced by William Rowan Hamilton in the 1840s in the context of his quaternion theory. The term "versor"...

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William Hamilton

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and Ireland William Edwin Hamilton (1834–1902), son of William Rowan and publisher of his Elements of Quaternions (1866) William Hamilton (geologist)...

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Hamilton Walk

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October each year. This is the anniversary of the day in 1843 when William Rowan Hamilton discovered the non-commutative algebraic system known as quaternions...

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Icosian calculus

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non-commutative algebraic structure discovered by the Irish mathematician William Rowan Hamilton in 1856. In modern terms, he gave a group presentation of the icosahedral...

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Arabella Lawrence

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both in an edition of Edgeworth's letters, and in the biography of William Rowan Hamilton, the Irish astronomer and mathematician, by Robert Perceval Graves...

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Biquaternion

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numbers. This article is about the ordinary biquaternions named by William Rowan Hamilton in 1844. Some of the more prominent proponents of these biquaternions...

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Hamiltonian vector field

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physicist and mathematician Sir William Rowan Hamilton, a Hamiltonian vector field is a geometric manifestation of Hamilton's equations in classical mechanics...

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Hodograph

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James Bradley, but its practical development is mainly from Sir William Rowan Hamilton, who published an account of it in the Proceedings of the Royal...

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