|
William Mann (mathematician)
William Robert Mann (September 21, 1920 – January 20, 2006) was a mathematician from Chapel Hill, North Carolina. Mann worked in mathematical analysis. He was the discoverer and eponym of the Mann iteration, a dynamical system in a continuous function In mathematics, a continuous function is a function such that a continuous variation (that is a change without jump) of the argument induces a continuous variation of the value of the function. This means that there are no abrupt changes in value .... He was one of Frantisek Wolf's students. Publications *William Robert Mann, Mean value methods in iteration, Proc. Amer. Math. Soc. 4, 1953, 506–510 *William Robert Mann and Angus Ellis Taylor, Advanced Calculus, 3rd Edition, John Wiley and Sons, 1983 References * External links *''Chapel Hill Memories'' {{DEFAULTSORT:Mann, William 1920 births 2006 deaths 20th-century American mathematicians 21st-century American mathematicians Mathematical analysts ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William Mann
William Mann may refer to: *William Mann (astronomer) (1817–1873), English astronomer active in the Cape Colony *William Mann (MP), English politician in the House of Commons, 1621–1625 *William Mann (settler) (1610–1650), original settler of Providence, Rhode Island *William Abram Mann (1854–1934), general officer in the United States Army * William d'Alton Mann (1839–1920), American Civil War soldier and newspaper and magazine publisher *William C. Mann "Bill" (died 2004), computational linguist *William Mann (RAF officer) (1899–1966), senior Royal Air Force officer and flying ace * Billy Mann (William H. Mann), record producer/singer/songwriter *William Hodges Mann (1843–1927), American politician *William Mann (cricketer) (1878–1938), English cricketer *William J. Mann, American author and gay historian * William Mann (Australian politician) (1875–1951), Australian politician *William Julius Mann (1819–1892), American Lutheran theologian and author *William M. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chapel Hill, North Carolina
Chapel Hill is a town in Orange, Durham and Chatham counties in the U.S. state of North Carolina. Its population was 61,960 in the 2020 census, making Chapel Hill the 17th-largest municipality in the state. Chapel Hill, Durham, and the state capital, Raleigh, make up the corners of the Research Triangle (officially the Raleigh–Durham–Cary combined statistical area), with a total population of 1,998,808. The town was founded in 1793 and is centered on Franklin Street, covering . It contains several districts and buildings listed on the National Register of Historic Places. The University of North Carolina at Chapel Hill and UNC Health Care are a major part of the economy and town influence. Local artists have created many murals. History The area was the home place of early settler William Barbee of Middlesex County, Virginia, whose 1753 grant of 585 acres from John Carteret, 2nd Earl Granville was the first of two land grants in what is now the Chapel Hill-Durham area. Th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
North Carolina
North Carolina () is a state in the Southeastern region of the United States. The state is the 28th largest and 9th-most populous of the United States. It is bordered by Virginia to the north, the Atlantic Ocean to the east, Georgia and South Carolina to the south, and Tennessee to the west. In the 2020 census, the state had a population of 10,439,388. Raleigh is the state's capital and Charlotte is its largest city. The Charlotte metropolitan area, with a population of 2,595,027 in 2020, is the most-populous metropolitan area in North Carolina, the 21st-most populous in the United States, and the largest banking center in the nation after New York City. The Raleigh-Durham-Cary combined statistical area is the second-largest metropolitan area in the state and 32nd-most populous in the United States, with a population of 2,043,867 in 2020, and is home to the largest research park in the United States, Research Triangle Park. The earliest evidence of human occupation i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Analysis
Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (mathematics), series, and analytic functions. These theories are usually studied in the context of Real number, real and Complex number, complex numbers and Function (mathematics), functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any Space (mathematics), space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space). History Ancient Mathematical analysis formally developed in the 17th century during the Scientific Revolution, but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dynamical System
In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, fluid dynamics, the flow of water in a pipe, the Brownian motion, random motion of particles in the air, and population dynamics, the number of fish each springtime in a lake. The most general definition unifies several concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured. Time can be measured by integers, by real number, real or complex numbers or can be a more general algebraic object, losing the memory of its physical origin, and the space may be a manifold or simply a Set (mathematics), set, without the need of a Differentiability, smooth space-time structure defined on it. At any given time, a dynamical system has a State ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Continuous Function
In mathematics, a continuous function is a function such that a continuous variation (that is a change without jump) of the argument induces a continuous variation of the value of the function. This means that there are no abrupt changes in value, known as '' discontinuities''. More precisely, a function is continuous if arbitrarily small changes in its value can be assured by restricting to sufficiently small changes of its argument. A discontinuous function is a function that is . Up until the 19th century, mathematicians largely relied on intuitive notions of continuity, and considered only continuous functions. The epsilon–delta definition of a limit was introduced to formalize the definition of continuity. Continuity is one of the core concepts of calculus and mathematical analysis, where arguments and values of functions are real and complex numbers. The concept has been generalized to functions between metric spaces and between topological spaces. The latter are the mo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Angus Ellis Taylor
Angus Ellis Taylor (October 13, 1911 – April 6, 1999) was a mathematician and professor at various universities in the University of California system. He earned his undergraduate degree at Harvard ''summa cum laude'' in 1933 and his PhD at Caltech in 1936 under Aristotle Michal with a dissertation on analytic functions. By 1944 he had risen to full professor at UCLA, whose mathematics department he later chaired (1958–1964). Taylor was also an astute administrator and eventually rose through the UC system to become provost and then chancellor of UC Santa Cruz. He authored a number of mathematical texts, one of which, ''Advanced Calculus (1955 originally published by Ginn/Blaisdell)'', became a standard for a generation of mathematics students. Books * * Sherwood, G. E. F.; Taylor, Angus E. (1942; 3rd ed., 1954). ''Calculus''. Prentice-Hall * * * * * References External links Personal websiteat University of California, Berkeley * Obituaryin the San Francisc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1920 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slip ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2006 Deaths
File:2006 Events Collage V1.png, From top left, clockwise: The 2006 Winter Olympics open in Turin; Twitter is founded and launched by Jack Dorsey; The Nintendo Wii is released; Montenegro votes to declare independence from Serbia; The 2006 FIFA World Cup in Germany is won by Italy; Gol Transportes Aéreos Flight 1907 crashes in the Amazon rainforest after a mid-air collision with an Embraer Legacy 600 business jet; The 2006 Yogyakarta earthquake kills over 5,700 people; The IAU votes on the definition of "planet", which demotes Pluto and other Kuiper belt objects and redefines them as "dwarf planets"., 300x300px, thumb rect 0 0 200 200 2006 Winter Olympics rect 200 0 400 200 Twitter rect 400 0 600 200 Nintendo Wii rect 0 200 300 400 IAU definition of planet rect 300 200 600 400 2006 Montenegrin independence referendum rect 0 400 200 600 2006 Yogyakarta earthquake rect 200 400 400 600 Gol Transportes Aéreos Flight 1907 rect 400 400 600 600 2006 FIFA World Cup 2006 was ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century American Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
