Sir William Rowan Hamilton MRIA, FRAS 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.
In mathematics, the octonions are a normed division algebra over the real numbers, a kind of hypercomplex number system. The octonions are usually represented by the capital letter O, using boldface O or blackboard bold . Octonions have eight dimensions; twice the number of dimensions of the quaternions, of which they are an extension. They are noncommutative and nonassociative, but satisfy a weaker form of associativity; namely, they are alternative. They are also power associative.
In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by the Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. The algebra of quaternions is often denoted by H, or in blackboard bold by Although multiplication of quaternions is noncommutative, it gives a definition of the quotient of two vectors in a three-dimensional space. Quaternions are generally represented in the form
The Royal Canal is a canal originally built for freight and passenger transportation from Dublin to Longford in Ireland. It is one of two canals from Dublin to the River Shannon and was built in direct competition to the Grand Canal. The canal fell into disrepair in the late 20th century, but much of it has since been restored for navigation. The length of the canal to the River Shannon was reopened on 1 October 2010, but a final spur branch, to Longford Town, remains closed.
James MacCullagh was an Irish mathematician.
Cabra is an inner suburb on the northside of Dublin city in Ireland. It is approximately 2 kilometres (1.2 mi) northwest of the city centre, in the administrative area of Dublin City Council. It was commonly known as Cabragh until the early 20th century. Largely located between the Royal Canal and the Phoenix Park, it is primarily a residential suburb, with a range of institutions and some light industry. Cabra is served by bus, tram and mainline rail; it lies across Navan Road, one of the main roads from central Dublin to the orbital motorway.
The Dunsink Observatory is an astronomical observatory established in 1785 in the townland of Dunsink in the outskirts of the city of Dublin, Ireland.
Grattan Bridge is a road bridge spanning the River Liffey in Dublin, Ireland, and joining Capel Street to Parliament Street and the south quays.
Ballybough is an inner city district of northeast Dublin city, Ireland. Adjacent areas include the North Strand and Clonliffe.
Broombridge is a railway station beside a Luas Tram stop serving Cabra, Dublin 7, Ireland. It lies on the southern bank of the Royal Canal at the western end of what had been Liffey Junction station on the erstwhile Midland Great Western Railway (MGWR). It takes its name from Broome Bridge, which crosses the canal, where William Rowan Hamilton developed the mathematical notion of quaternions. A plaque on the adjacent canal bridge and the name of the Luas Maintenance depot on site, Hamilton Depot, commemorates this.
Arthur William Conway FRS was a distinguished Irish mathematician and mathematical physicist who wrote one 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 Dublin between 1940 and 1947.
Irish inventions and discoveries are objects, processes or techniques which owe their existence either partially or entirely to an Irish person. Often, things which are discovered for the first time, are also called "inventions", and in many cases, there is no clear line between the two. Below is a list of such inventions.
John Thomas Graves was an Irish 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 and then discovering their generalization the octonions himself later that same year. He was the brother of both the mathematician and bishop Charles Graves and the writer and clergyman Robert Perceval Graves.
In mathematics, quaternions are a non-commutative number system that extends the complex numbers. Quaternions and their applications to rotations were first described in print by Olinde Rodrigues in all but name in 1840, but independently discovered by Irish mathematician Sir William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. They find uses in both theoretical and applied mathematics, in particular for calculations involving three-dimensional rotations.
Charles Graves was an Irish mathematician, academic, and clergyman. He was Erasmus Smith's Professor of Mathematics at Trinity College Dublin (1843–1862), and was president of the Royal Irish Academy (1861–1866). He served as dean of the Chapel Royal at Dublin Castle, and later as Bishop of Limerick, Ardfert and Aghadoe. He was the brother of both the jurist and mathematician John Graves, and the writer and clergyman Robert Perceval Graves.
Charles Jasper Joly was an Irish mathematician and astronomer who became Royal Astronomer of Ireland. He was an important figure in the study of quaternions.
Albert Joseph McConnell was an Irish mathematician and mathematical physicist who served as the 39th Provost of Trinity College Dublin from 1952 to 1974 and a member of the Council of State from January 1973 to June 1973. He spent his entire academic career at Trinity College Dublin.
William Edwin Hamilton was an Irish-Canadian journalist and entrepreneur. He was the elder son of the Irish mathematician Sir William Rowan Hamilton and Lady Helen Maria Hamilton Bayly.
The Hamilton Walk from Dunsink Observatory to Broom Bridge on the Royal Canal in Dublin takes place on 16 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, while walking with his wife along the banks of the Royal Canal.
Tony O'Farrell is an Irish mathematician who is Professor Emeritus at Maynooth University. He has been in the Mathematics and Statistics Department there since 1975.
