|
James Lockhart (banker)
James Lockhart (1763–1852) was an English banker who wrote on numerical analysis. Life He was one of three children and two sons of James Lockhart (1735–1814), a Scottish banker, and his wife Mary Harriot Gray or Grey, from a Quaker family; John Ingram Lockhart was his brother, and the daughter was Mary Harriett, married name Greenwollers. He was educated at Reading School and Eton College. Lockhart worked as a banker in Pall Mall, London, in his father's firm Lockhart, Wallace, & Co. He became a partner, and set up the Cattle Insurance Company. Retiring from the bank in 1799, he moved north to the Windermere area after the death of his first wife. Lockhart knew Walking Stewart, and stated he had learned from him. He knew also William Combe, and the idea for Combe's "Dr Syntax" has been attributed to him. He taught mathematics to his own children, and pupils including Joshua King. For about 15 years Lockhart and his family resided in the Netherlands, from 1819, in Leyden a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numerical Analysis
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts. Current growth in computing power has enabled the use of more complex numerical analysis, providing detailed and realistic mathematical models in science and engineering. Examples of numerical analysis include: ordinary differential equations as found in celestial mechanics (predicting the motions of planets, stars and galaxies), numerical linear algebra in data analysis, and stochastic differential equations and Markov chains for simulating living ce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Isle Of Skye
The Isle of Skye, or simply Skye (; gd, An t-Eilean Sgitheanach or ; sco, Isle o Skye), is the largest and northernmost of the major islands in the Inner Hebrides of Scotland. The island's peninsulas radiate from a mountainous hub dominated by the Cuillin, the rocky slopes of which provide some of the most dramatic mountain scenery in the country. Slesser (1981) p. 19. Although has been suggested to describe a winged shape, no definitive agreement exists as to the name's origins. The island has been occupied since the Mesolithic period, and over its history has been occupied at various times by Celtic tribes including the Picts and the Gaels, Scandinavian Vikings, and most notably the powerful integrated Norse-Gaels clans of MacLeod and MacDonald. The island was considered to be under Norwegian suzerainty until the 1266 Treaty of Perth, which transferred control over to Scotland. The 18th-century Jacobite risings led to the breaking-up of the clan system and later cleara ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Revolution
The American Revolution was an ideological and political revolution that occurred in British America between 1765 and 1791. The Americans in the Thirteen Colonies formed independent states that defeated the British in the American Revolutionary War (1775–1783), gaining independence from the British Crown and establishing the United States of America as the first nation-state founded on Enlightenment principles of liberal democracy. American colonists objected to being taxed by the Parliament of Great Britain, a body in which they had no direct representation. Before the 1760s, Britain's American colonies had enjoyed a high level of autonomy in their internal affairs, which were locally governed by colonial legislatures. During the 1760s, however, the British Parliament passed a number of acts that were intended to bring the American colonies under more direct rule from the British metropole and increasingly intertwine the economies of the colonies with those of Brit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Philadelphia
Philadelphia, often called Philly, is the largest city in the Commonwealth of Pennsylvania, the sixth-largest city in the U.S., the second-largest city in both the Northeast megalopolis and Mid-Atlantic regions after New York City. Since 1854, the city has been coextensive with Philadelphia County, the most populous county in Pennsylvania and the urban core of the Delaware Valley, the nation's seventh-largest and one of world's largest metropolitan regions, with 6.245 million residents . The city's population at the 2020 census was 1,603,797, and over 56 million people live within of Philadelphia. Philadelphia was founded in 1682 by William Penn, an English Quaker. The city served as capital of the Pennsylvania Colony during the British colonial era and went on to play a historic and vital role as the central meeting place for the nation's founding fathers whose plans and actions in Philadelphia ultimately inspired the American Revolution and the nation's inde ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rehuel Lobatto
Rehuel Lobatto (6 June 1797 – 9 February 1866 ) was a Dutch mathematician. The Gauss-Lobatto quadrature method is named after him, as are his variants on the Runge–Kutta methods for solving ODEs, and the Lobatto polynomials. He was the author of a great number of articles in scientific periodicals, as well as various schoolbooks. Lobatto was born in Amsterdam to a Portuguese Jewish family. As a schoolboy Lobatto already displayed remarkable talent for mathematics. Gotthard Deutsch, E. Slijper (1906)"LOBATTO, REHUEL" ''The Jewish Encyclopedia''. He studied mathematics under Jean Henri van Swinden at the Athenaeum Illustre of Amsterdam, earning his BA in 1812; and then with Adolphe Quetelet (coediting a volume o"Correspondance Mathématique et Physique". Working for the Dutch government - initially for the Ministry of the Interior - he became secretary of a statistical commission in 1831. From 1826 till 1849 he was editor of the '' "Jaarboekje van Lobatto"'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Silius Titus
Silius Titus (1623–1704), of Bushey, was an English politician, Captain of Deal Castle, and Groom of the Bedchamber to King Charles II. Colonel Titus was an organiser in the attempted escape of King Charles I from Carisbrooke Castle. Early life He was born in London, the son of Silas Titus, a salter and Constatia (Constance) Colley. He was educated at Christ Church, Oxford, where he matriculated in 1638, and the Middle Temple. Killing No Murder Titus began his political aspirations by writing a pamphlet titled '' Killing No Murder'' in 1657 during The Protectorate period of the English Interregnum era of English history. The pamphlet advocated the assassination of Oliver Cromwell. Due to the danger involved in writing such a politically charged opinion against the Protector, ''Killing No Murder'' was published under the pseudonym 'William Allen'. Cromwell was said to have been so disturbed after the publication of ''Killing No Murder'' that he never spent more than two n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Pell (mathematician)
John Pell (1 March 1611 – 12 December 1685) was an English mathematician and political agent abroad. Early life He was born at Southwick in Sussex. His father, also named John Pell, was from Southwick, and his mother was Mary Holland, from Halden in Kent. The second of two sons, Pell's older brother was Thomas Pell. By the time he was six, they were orphans, their father dying in 1616 and their mother the following year. John Pell the elder had a fine library, which proved valuable to the young Pell as he grew up. He was educated at Steyning Grammar School and entered Trinity College, Cambridge, at the age of 13. During his university career he became an accomplished linguist; even before taking a B.A. degree in 1629, he corresponded with Henry Briggs and other mathematicians. He was promoted by seniority to M.A. in 1630 and taught in the short-lived Chichester Academy set up by Samuel Hartlib. On 3 July 1632 he married Ithamaria Reginald (also rendered as Ithamara or Ithuma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sturm's Theorem
In mathematics, the Sturm sequence of a univariate polynomial is a sequence of polynomials associated with and its derivative by a variant of Euclid's algorithm for polynomials. Sturm's theorem expresses the number of distinct real roots of located in an interval in terms of the number of changes of signs of the values of the Sturm sequence at the bounds of the interval. Applied to the interval of all the real numbers, it gives the total number of real roots of . Whereas the fundamental theorem of algebra readily yields the overall number of complex roots, counted with multiplicity, it does not provide a procedure for calculating them. Sturm's theorem counts the number of distinct real roots and locates them in intervals. By subdividing the intervals containing some roots, it can isolate the roots into arbitrarily small intervals, each containing exactly one root. This yields the oldest real-root isolation algorithm, and arbitrary-precision root-finding algorithm for univariate ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Budan's Theorem
In mathematics, Budan's theorem is a theorem for bounding the number of real roots of a polynomial in an interval, and computing the parity of this number. It was published in 1807 by François Budan de Boislaurent. A similar theorem was published independently by Joseph Fourier in 1820. Each of these theorems is a corollary of the other. Fourier's statement appears more often in the literature of 19th century and has been referred to as Fourier's, Budan–Fourier, Fourier–Budan, and even Budan's theorem Budan's original formulation is used in fast modern algorithms for real-root isolation of polynomials. Sign variation Let c_0, c_1, c_2, \ldots c_k be a finite sequence of real numbers. A ''sign variation'' or ''sign change'' in the sequence is a pair of indices such that c_ic_j < 0, and either or for all such that . In other words, a sign variation occurs in the sequence at each place where the signs change, when ignoring zeros. For studyin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William Rutherford (mathematician)
William Rutherford (1798–1871) was an English mathematician famous for his calculation of 208 digits of the mathematical constant π in 1841. Only the first 152 calculated digits were later found to be correct; but that broke the record of the time, which was held by the Slovenian mathematician Jurij Vega since 1789 (126 first digits correct). Rutherford used the following formula: - Department of Mathematical Sciences : Life Rutherford was born about 1798. He was a master at a school at Wood ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Radford Young
John Radford Young (born 8 April 1799, in Southwark – 5 March 1885, in Peckham) was an English mathematician, professor and author, who was almost entirely self-educated. He was born of humble parents in London. At an early age he became acquainted with Olinthus Gilbert Gregory, who perceived his mathematical ability and assisted him in his studies. In 1823, while working in a private establishment for the deaf, he published ''An Elementary Treatise on Algebra'' with a dedication to Gregory. This treatise was followed by a series of elementary works, in which, following in the steps of Robert Woodhouse, Young familiarized English students with continental methods of mathematical analysis. In 1833, he was appointed Professor of Mathematics at Belfast College. When Queen's College, Belfast, opened in 1849, the presbyterian party in control there prevented Young's reappointment as Professor in the new establishment. From that time he devoted himself more completely to the study of m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
