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Irish mathematician and physicist (1805–1865)
Sir William Rowan Hamilton (4 August 1805 – 2 September 1865) was an Irish mathematician, physicist, and astronomer who made numerous major contributions
William_Rowan_Hamilton
Archibald Hamilton Rowan (1 May 1751 – 1 November 1834), christened Archibald Hamilton (sometimes referred to as Archibald Rowan Hamilton), was a founding
Archibald_Hamilton_Rowan
Formulation of classical mechanics using momenta
of Lagrangian mechanics that emerged in 1833. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces (generalized) velocities q ˙ i {\displaystyle
Hamiltonian_mechanics
British mathematician and logician (1806–1871)
Robert Perceval (1889). Life of Sir William Rowan Hamilton. Hodges, Figgis, & Co. Hamilton, Sir William Rowan (1853). Lectures on Quaternions. Dublin:
Augustus_De_Morgan
Irish contributions to science, technology, and engineering
locations previously considered impossible. 1843: Quaternions – William Rowan Hamilton, an astronomer, mathematician and director of Dunsink Observatory
Timeline of Irish inventions and discoveries
Timeline_of_Irish_inventions_and_discoveries
Formulation of classical mechanics
In physics, the Hamilton–Jacobi equation, named after William Rowan Hamilton and Carl Gustav Jacob Jacobi, is an alternative formulation of classical mechanics
Hamilton–Jacobi_equation
Philosophical tradition of the Irish people
early calculus in The Analyst. Irish physicist and mathematician William Rowan Hamilton often exchanged letters with De Morgan. Samuel Taylor Coleridge
Irish_philosophy
Irish Canadian journalist and entrepreneur
son of the Irish mathematician Sir William Rowan Hamilton and Lady Helen Maria Hamilton Bayly. William Edwin Hamilton was born at Dunsink Observatory, in
William_Edwin_Hamilton
named after William Rowan Hamilton: Cayley–Hamilton theorem Hamilton's equations Hamilton's principle Hamilton–Jacobi equation Hamilton–Jacobi–Bellman
List of things named after William Rowan Hamilton
List_of_things_named_after_William_Rowan_Hamilton
Description of large objects' physics
based on energy were developed by Euler, Joseph-Louis Lagrange, William Rowan Hamilton and others, leading to the development of analytical mechanics (which
Classical_mechanics
English educator
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
Arabella_Lawrence
Formulation of the principle of stationary action
In physics, Hamilton's principle is William Rowan Hamilton's formulation of the principle of stationary action. It states that the dynamics of a physical
Hamilton's_principle
in 1840, but independently discovered by Irish mathematician Sir William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. They
History_of_quaternions
Irish poet (1807–1851)
Eliza Mary Hamilton (1807–1851) was an Irish poet. Her brother was the astronomer and mathematician William Rowan Hamilton, and she has been described
Eliza_Mary_Hamilton
Path in a graph that visits each vertex exactly once
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
Hamiltonian_path
Northside suburb of Dublin, Ireland
named after William Broom, one of the directors of the Royal Canal Company. Broom Bridge is the location where Sir William Rowan Hamilton, following a
Cabra,_Dublin
Conceptual parallel between optics and classical mechanics
William Rowan Hamilton around 1831. It may be viewed as linking Huygens' principle of optics with Maupertuis' principle of mechanics. While Hamilton discovered
Hamilton's optical-mechanical analogy
Hamilton's_optical-mechanical_analogy
Australian actor
Rowan Witt is an Australian film, television and theatre actor. He is known for starring in stage productions of The Book of Mormon, Hamilton, Totally
Rowan_Witt
Name list
Archbishop of Canterbury Rowan Woods, Australian film director William Rowan Hamilton (1805–1865), Irish mathematician Rowan, one of the two main protagonists
Rowan_(name)
Hamiltonian coloring, named after William Rowan Hamilton, is a type of graph coloring. Hamiltonian coloring uses a concept called detour distance between
Hamiltonian_coloring
Event commemorating the Irish mathematician Hamilton's discovery of quaternions
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
Hamilton_Walk
Game of finding cycles on a dodecahedron
is a mathematical game invented in 1856 by Irish mathematician William Rowan Hamilton. It involves finding a Hamiltonian cycle on a dodecahedron, a polygon
Icosian_game
Quantum operator for the sum of energies of a system
formulations of quantum theory. The Hamiltonian is named after William Rowan Hamilton, who developed a revolutionary reformulation of Newtonian mechanics
Hamiltonian (quantum mechanics)
Hamiltonian_(quantum_mechanics)
Isomorphism of an object to itself
of automorphisms of points) was given by the Irish mathematician William Rowan Hamilton in 1856, in his icosian calculus, where he discovered an order two
Automorphism
Square matrices satisfy their characteristic equation
In linear algebra, the Cayley–Hamilton theorem (named after the mathematicians Arthur Cayley and William Rowan Hamilton) states that every square matrix
Cayley–Hamilton_theorem
NP-hard problem in combinatorial optimization
century by the Irish mathematician William Rowan Hamilton and by the British mathematician Thomas Kirkman. Hamilton's icosian game was a recreational puzzle
Travelling_salesman_problem
Four-dimensional number system
Quaternions were first described by the Irish mathematician and physicist William Rowan Hamilton in 1843, and in his honor the set of all quaternions is conventionally
Quaternion
Vector representation of the movement of a body or fluid
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
Hodograph
Optimality condition in optimal control theory
The Hamilton-Jacobi-Bellman (HJB) equation is a nonlinear partial differential equation that provides necessary and sufficient conditions for optimality
Hamilton–Jacobi–Bellman equation
Hamilton–Jacobi–Bellman_equation
Observatory near Dublin, Ireland
the city of Dublin, Ireland. Directors of the observatory include William Rowan Hamilton, who, amongst other things, discovered quaternions, the first non-commutative
Dunsink_Observatory
knew were German, English, Danish, French, Italian, and Turkish. William Rowan Hamilton (1805–1865), Irish mathematician. Encouraged by his uncle, he learnt
List_of_polyglots
Hamilton's original treatment of quaternions
William Rowan Hamilton invented quaternions, a mathematical entity, in 1843. This article describes Hamilton's original treatment of quaternions, using
Classical Hamiltonian quaternions
Classical_Hamiltonian_quaternions
Symbol used to indicate the del operator
was introduced in 1831 by the Irish mathematician and physicist William Rowan Hamilton, who called it ◁. (The unit vectors { i , j , k } {\displaystyle
Nabla_symbol
Branch of applied mathematics
also made by the Irish physicist, astronomer and mathematician, William Rowan Hamilton (1805–1865). Hamiltonian dynamics had played an important role in
Mathematical_physics
Cayley ∇ nabla symbol (for vector differential) 1846 William Rowan Hamilton Previously used by Hamilton as a general-purpose operator sign. ∩ ∪ intersection
Table of mathematical symbols by introduction date
Table_of_mathematical_symbols_by_introduction_date
Mathematical operation on vectors in 3D space
1842, William Rowan Hamilton first described the algebra of quaternions and the non-commutative Hamilton product. In particular, when the Hamilton product
Cross_product
Topics referred to by the same term
metaphysician William B. Hamilton (1929–2012), Canadian historian Sir William Rowan Hamilton (1805–1865), Irish mathematician, physicist, and astronomer William Edwin
William_Hamilton
Sole college of the University of Dublin
restructuring are not apparent. The Hamilton Mathematics Institute in Trinity College, named in honour of William Rowan Hamilton, was launched in 2005 and aims
Trinity_College_Dublin
Irish mathematician
is an Irish mathematician, since 2014 the Krembil Foundation's William Rowan Hamilton chair of theoretical physics at the Perimeter Institute in Waterloo
Kevin_Costello
British politician and writer
Nicolson 20. Cap. Gawin William Rowan-Hamilton 10. Cap. Archibald Rowan-Hamilton 21. Catherine Cockburn 5. Mary Katherine Rowan-Hamilton 22. Rev. George Caldwell
Nigel_Nicolson
Optical phenomenon
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
Conical_refraction
Irish biographer and Anglican priest
"Life of Sir William Rowan Hamilton, Volume I". Dublin: Hodges, Figgis, & Co. Graves, Robert Perceval (1885). "Life of Sir William Rowan Hamilton, Volume II"
Robert_Perceval_Graves
Correspondence between quaternions and 3D rotations
(mathematics) Slerp, spherical linear interpolation Spin group Versor William Rowan Hamilton Shoemake, Ken (1985). "Animating Rotation with Quaternion Curves"
Quaternions and spatial rotation
Quaternions_and_spatial_rotation
Irish physicist (1875–1950)
of the first books on relativity and co-edited two volumes of William Rowan Hamilton's collected works. He also served as President of University College
Arthur_W._Conway
Fundamental mechanical principles
action, William Rowan Hamilton and in tandem Carl Gustav Jacob Jacobi developed a variational form for classical mechanics known as the Hamilton–Jacobi
Action_principles
compound of quaternion algebras over a field. The biquaternions of William Rowan Hamilton (1844) and the related split-biquaternions and dual quaternions
Biquaternion_algebra
Veronica Guerin – journalist Hugh Hamilton – bishop William Rowan Hamilton – mathematician William Edwin Hamilton – civil engineer Francis Hardy – barrister
List_of_people_from_Dublin
Non-commutative algebraic structure
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
Icosian_calculus
Reformulation of general relativity
and William Rowan Hamilton. The EHJE contains as much information as all ten Einstein field equations (EFEs). It is a modification of the Hamilton–Jacobi
Hamilton–Jacobi–Einstein equation
Hamilton–Jacobi–Einstein_equation
Used to count, measure, and label
quaternions H {\displaystyle \mathbb {H} } , introduced by Sir William Rowan Hamilton, in which multiplication is not commutative; the octonions O {\displaystyle
Number
Topological space that locally resembles Euclidean space
analytical mechanics, as developed by Siméon Poisson, Jacobi, and William Rowan Hamilton. The possible states of a mechanical system are thought to be points
Manifold
Problem in physics and astronomy
Pierre-Simon Laplace, Carl Gustav Jacob Jacobi, Urbain Le Verrier, William Rowan Hamilton, Henri Poincaré and George David Birkhoff, among others. The Euler
Euler's_three-body_problem
the path of least action and follows the calculus of variations. William Rowan Hamilton re-formulated Lagrangian mechanics in 1833, resulting in Hamiltonian
History of classical mechanics
History_of_classical_mechanics
Group realized geometrically by reflections across the sides of a triangle
icosahedral group as the (rotational) (2,3,5) triangle group by William Rowan Hamilton in 1856, in his paper on icosian calculus. Triangle groups arise
Triangle_group
Group whose subgroups are all normal
theorem (for finite groups). He named the non-abelian ones after William Rowan Hamilton, the discoverer of quaternions. In 1898 George Miller delineated
Dedekind_group
1878 scientific reference book by William Kingdon Clifford
University. On page 95 Clifford deconstructed the quaternion product of William Rowan Hamilton into two separate products of two vectors: vector product and scalar
Elements_of_Dynamic
Geometric space with four dimensions
of four spatial dimensions, called quaternions, was defined by William Rowan Hamilton in 1843. Soon after, tessarines and coquaternions were introduced
Four-dimensional_space
Area of discrete mathematics
written record is in a letter of Augustus De Morgan addressed to William Rowan Hamilton the same year. Many incorrect proofs have been proposed, including
Graph_theory
American vlogger and entrepreneur (born 1980)
William Henry Green II (born May 5, 1980) is an American YouTuber, science communicator, novelist, stand-up comedian, and entrepreneur. He produces the
Hank_Green
Television series
Best; other absentees noted were Michael Davitt, John McCormack, William Rowan Hamilton, Lady Gregory, and Samuel Beckett. Ken Sweeney in the Irish Independent
Ireland's_Greatest
verifying conical refraction, a theoretical prediction made by William Rowan Hamilton about the way light is bent when travelling through a biaxial crystal
Erasmus Smith's Professor of Natural and Experimental Philosophy
Erasmus_Smith's_Professor_of_Natural_and_Experimental_Philosophy
Number with a real and an imaginary part
complex numbers was further developed by the Irish mathematician William Rowan Hamilton, who extended this abstraction to the theory of quaternions. The
Complex_number
Bridge in Dublin
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
Broom_Bridge
Theorem in geometrical optics
Irish Academy, 15, pp. 69–174. Part Second: manuscript. In Sir William Rowan Hamilton mathematical Works, vol. I, chapter I, Cambridge University Press
Malus–Dupin_theorem
English mathematician and Anglican cleric (1791–1858)
science. William Whewell was a vice-president of the meeting; he was instructed to select the reporter. He first asked William Rowan Hamilton, who declined;
George_Peacock
Quaternions with complex number coefficients
numbers. This article is about the ordinary biquaternions named by William Rowan Hamilton in 1844. Some of the more prominent proponents of these biquaternions
Biquaternion
Premier award of the Royal Irish Academy
learning in Ireland. Notable recipients of the award include Sir William Rowan Hamilton, Humphrey Lloyd, George Salmon, Sir Howard Grubb, Robert Mallet
Cunningham_Medal
Hermann Grassmann in Germany gave a first version of vector spaces, William Rowan Hamilton in Ireland developed noncommutative algebra. The British mathematician
19th_century_in_science
Vector part of a biquaternion, has three complex dimensions
so the representation of bivector q is a skew-Hermitian matrix. William Rowan Hamilton coined both the terms vector and bivector. The first term was named
Bivector_(complex)
Irish physicist (1903–1995)
associated with the physics department at the college. Along with William Rowan Hamilton, Walton is regarded as one of the most influential Irish physicists
Ernest_Walton
Calendar year
and Trembling is first published, in Denmark. Irish mathematician William Rowan Hamilton discovers the calculus of quaternions and deduces that they are
1843
American scientist (1839–1903)
Newton, Joseph-Louis Lagrange and William Rowan Hamilton, stating: Gibbs ranks with men like Newton, Lagrange and Hamilton, who by the sheer force and power
Josiah_Willard_Gibbs
Irish jurist and mathematician (1806–1870)
jurist and mathematician. He was a friend of William Rowan Hamilton, and is credited both with inspiring Hamilton to discover the quaternions in October 1843
John_T._Graves
Irish mathematician (1809–1847)
Trinity College Dublin in 1832 and was a contemporary there of William Rowan Hamilton. He became a member of the Royal Irish Academy in 1833. In 1835
James_MacCullagh
Irish physicist and academic administrator
verifying conical refraction, a theoretical prediction made by William Rowan Hamilton about the way light is bent when travelling through a biaxial crystal
Humphrey_Lloyd_(physicist)
French optical physicist (1788–1827)
to the result. This was answered by MacCullagh in 1830, and by William Rowan Hamilton in 1832. Within a century of Fresnel's initial stepped-lens proposal
Augustin-Jean_Fresnel
overseas. Mathias befriended the family of the mathematician Sir William Rowan Hamilton, whom he christened in 1805 in Bethesda Chapel, in the parish of
Benjamin_Williams_Mathias
2007 book by Ian Stewart
using only compass and straightedge. Chapter 9: The Drunken Vandal William Rowan Hamilton extended the field of complex numbers to the quaternions. Chapter
Why_Beauty_Is_Truth
British art historian (1914–1978)
Nicolson 20. Cap. Gawin William Rowan-Hamilton 10. Cap. Archibald Rowan-Hamilton 21. Catherine Cockburn 5. Mary Katherine Rowan-Hamilton 22. Rev. George Caldwell
Benedict_Nicolson
American theoretical physicist (1918–1988)
someone tossed a dinner plate in the air. He read the work of Sir William Rowan Hamilton on quaternions, and tried unsuccessfully to use them to formulate
Richard_Feynman
Research centre
The Hamilton Institute is a multi-disciplinary research centre at Maynooth University, named after William Rowan Hamilton, the Irish mathematician, astronomer
Hamilton_Institute
Planar maps require at most four colors
Letter of De Morgan to William Rowan Hamilton, 23 Oct. 1852
Four_color_theorem
Specification of a mathematical group by generators and relations
by generators and relations was given by the Irish mathematician William Rowan Hamilton in 1856, in his icosian calculus – a presentation of the icosahedral
Presentation_of_a_group
Quaternion of norm 1 (unit quaternion)
appears as a 3-sphere in the 4-dimensional quaternion algebra. Sir William Rowan Hamilton wrote the versor of a quaternion q {\displaystyle \ q\ } as
Versor
Algebraic object with geometric applications
nineteenth century. The word "tensor" itself was introduced in 1846 by William Rowan Hamilton to describe something different from what is now meant by a tensor
Tensor
Station in Dublin, Ireland
takes its name from Broome Bridge, which crosses the canal, where William Rowan Hamilton developed the mathematical notion of quaternions. A plaque on the
Broombridge_railway_station
History of physical crystallography to 1895
biaxial crystal, but they all missed its physical implications. William Rowan Hamilton, in his work on Hamiltonian optics, discovered the wavevector surface
Physical crystallography before X-rays
Physical_crystallography_before_X-rays
Square root of a non-positive real number
plane was first described by Caspar Wessel (1745–1818). In 1843, William Rowan Hamilton extended the idea of an axis of imaginary numbers in the plane to
Imaginary_number
On solutions of 7th-degree equations
(1683), Erland Samuel Bring (1786), and George Jerrard (1834), William Rowan Hamilton showed in 1836 that every seventh-degree equation can be reduced
Hilbert's_thirteenth_problem
Mnemonic for 3D vectors orientations and rotations
the positive direction of coordinate axes in three dimensions. William Rowan Hamilton, recognized for his development of quaternions, a mathematical system
Right-hand_rule
Solid with 12 equal pentagonal faces
all of its vertices exactly once. This property is named after William Rowan Hamilton, who invented a mathematical game known as the icosian game. The
Regular_dodecahedron
Physical quantity of dimension energy × time
calculus of variations. William Rowan Hamilton made the next big breakthrough, formulating Hamilton's principle in 1853. Hamilton's principle became the
Action_(physics)
Vector field defined for any energy function
physicist and mathematician Sir William Rowan Hamilton, a Hamiltonian vector field is a geometric manifestation of Hamilton's equations in classical mechanics
Hamiltonian_vector_field
Branch of physics
along several fronts. Joseph-Louis Lagrange, Leonhard Euler, and William Rowan Hamilton reformulated Newtonian mechanics in increasingly general mathematical
Theoretical_physics
Canadian science communicator
of this song. 20. "William Rowan Hamilton" "Alexander Hamilton" – from “Hamilton: An American Musical” Life of William Rowan Hamilton July 28, 2016 4:14
Tim_Blais
Irish physicist
Royal Irish Academy, the Cunningham Medal. Previous winners include William Rowan Hamilton.[citation needed] In 2008, he won the Fernand Holweck Medal and
Denis_Weaire
Book on the history of mathematics by Michael J. Crowe
16th and 17th century influences; the second on the 19th century William Rowan Hamilton and quaternions; the third on other 19th and 18th century vectorial
A_History_of_Vector_Analysis
Property of a mathematical operation
(B\backslash C)} . (Compare material nonimplication in logic.) William Rowan Hamilton seems to have coined the term "associative property" around 1844
Associative_property
Theory of algebraic structures in general
essentially the same meaning that it has today. Whitehead credits William Rowan Hamilton and Augustus De Morgan as originators of the subject matter, and
Universal_algebra
group theory. A proto-form is found in the 1856 icosian calculus of William Rowan Hamilton, where he studied the icosahedral symmetry group via the edge graph
Combinatorial_group_theory
WILLIAM ROWAN-HAMILTON
WILLIAM ROWAN-HAMILTON
WILLIAM ROWAN-HAMILTON
WILLIAM ROWAN-HAMILTON
WILLIAM ROWAN-HAMILTON
WILLIAM ROWAN-HAMILTON
WILLIAM ROWAN-HAMILTON
WILLIAM ROWAN-HAMILTON
WILLIAM ROWAN-HAMILTON