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University Of Copenhagen Institute For Mathematical Sciences
The UCPH Department of Mathematical Sciences ( da, Institut for Matematiske Fag) is a department under the Faculty of Science at the University of Copenhagen (UCPH). The department is based at the university's North Campus in Copenhagen. Location The department is located in the E building of the Hans Christian Ørsted Institute, on Universitetsparken 5 in Copenhagen, Denmark. From the founding of the University of Copenhagen in 1479, mathematics had been part of the Faculty of Philosophy. In 1850 it was moved to the new faculty of Mathematics and Natural Sciences. The Institute for Mathematical Sciences was first created in 1934 next to the Niels Bohr Institute building, when Carlsberg Foundation donated money for a building in celebration of the 450th anniversary of the University of Copenhagen in 1929. In 1963 the institute moved to its current location. Mathematical research Many different branches of mathematics are being covered by the fields of interest of different resear ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Functional Analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. Inner product space#Definition, inner product, Norm (mathematics)#Definition, norm, Topological space#Definition, topology, etc.) and the linear transformation, linear functions defined on these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of function space, spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous function, continuous, unitary operator, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential equations, differential and integral equations. The usage of the word ''functional (mathematics), functional'' as a noun goes back to the calculus of variati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Homological Algebra
Homological algebra is the branch of mathematics that studies homology (mathematics), homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology) and abstract algebra (theory of module (mathematics), modules and Syzygy (mathematics), syzygies) at the end of the 19th century, chiefly by Henri Poincaré and David Hilbert. Homological algebra is the study of homological functors and the intricate algebraic structures that they entail; its development was closely intertwined with the emergence of category theory. A central concept is that of chain complexes, which can be studied through both their homology and cohomology. Homological algebra affords the means to extract information contained in these complexes and present it in the form of homological invariant (mathematics), invariants of ring (mathematics), rings, modules, topological spaces, and other 'tan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Non-commutative Geometry
Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of ''spaces'' that are locally presented by noncommutative algebras of functions (possibly in some generalized sense). A noncommutative algebra is an associative algebra in which the multiplication is not commutative, that is, for which xy does not always equal yx; or more generally an algebraic structure in which one of the principal binary operations is not commutative; one also allows additional structures, e.g. topology or norm, to be possibly carried by the noncommutative algebra of functions. An approach giving deep insight about noncommutative spaces is through operator algebras (i.e. algebras of bounded linear operators on a Hilbert space). Perhaps one of the typical examples of a noncommutative space is the " noncommutative tori", which played a key role in the early development of this field in 1980s and lead to noncommutative ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Richard V
Richard is a male given name. It originates, via Old French, from Old Frankish and is a compound of the words descending from Proto-Germanic ''*rīk-'' 'ruler, leader, king' and ''*hardu-'' 'strong, brave, hardy', and it therefore means 'strong in rule'. Nicknames include "Richie", "Dick", "Dickon", " Dickie", "Rich", "Rick", "Rico", "Ricky", and more. Richard is a common English, German and French male name. It's also used in many more languages, particularly Germanic, such as Norwegian, Danish, Swedish, Icelandic, and Dutch, as well as other languages including Irish, Scottish, Welsh and Finnish. Richard is cognate with variants of the name in other European languages, such as the Swedish "Rickard", the Catalan "Ricard" and the Italian "Riccardo", among others (see comprehensive variant list below). People named Richard Multiple people with the same name * Richard Andersen (other) * Richard Anderson (other) * Richard Cartwright (other) * Ri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ryszard Nest
Ryszard () is the Polish equivalent of "Richard", and may refer to: *Ryszard Andrzejewski (born 1976), Polish rap musician, songwriter and producer *Ryszard Bakst (1926–1999), Polish and British pianist and piano teacher of Jewish/Polish/Russian origin * Ryszard Bartel (1897–1982), Polish engineer, aircraft designer, pioneer and aviator *Ryszard Bender (born 1932), Polish politician and historian, specialist in the history of the January Uprising * Ryszard Wincenty Berwiński (1817–1879), Polish poet, translator, folklorist, and nationalist * Ryszard Białous (1914–1992), Polish scoutmaster (harcmistrz) captain of the AK-Szare Szeregi *Ryszard Bober (born 1956), Polish politician, Vice-Chairperson of Kuyavian-Pomeranian Regional Assembly *Ryszard Bogusz (born 1951), Lutheran theologian, bishop of the diocese Wroclaw of the Evangelical Augsburg Church in Poland *Ryszard Bolesławski (1889–1937), Polish film director, actor and teacher of acting *Ryszard Bosek (born 1950), fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gert Kjærgaard Pedersen
Gert is a mainly masculine given name ( short form of Gerrit, Gerard, etc.) with some female bearers (short for Gertrude). Since 1993 no one in Sweden has been baptised as Gert according to the Swedish Bureau of Census, so the name is becoming increasingly rare. In 2010 around 12,000 in Sweden had the name as their first name according to the same source. Gert is most common in Sweden among males over 50 years of age. Around 400 females in Sweden have Gert as their first name according to the Swedish Bureau of Census. It may refer to: Men *Gert Aandewiel (born 1969), Dutch football player and manager *Gert Alberts (1836–1927), South African Voortrekker *Gert Andersen (born 1939), Danish handball player *Gert Bals (1936–2016), Dutch footballer *Gert Bastian (1923–1992), German military officer and politician *Gert Bender (born 1948), German motorcycle racer *Gerrit Gert van den Berg (cyclist) (1903-?), Dutch cyclist *Gerrit Gert van den Berg (politician) (born 1935), Dut ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
George A
George may refer to: People * George (given name) * George (surname) * George (singer), American-Canadian singer George Nozuka, known by the mononym George * George Washington, First President of the United States * George W. Bush, 43rd President of the United States * George H. W. Bush, 41st President of the United States * George V, King of Great Britain, Ireland, the British Dominions and Emperor of India from 1910-1936 * George VI, King of Great Britain, Ireland, the British Dominions and Emperor of India from 1936-1952 * Prince George of Wales * George Papagheorghe also known as Jorge / GEØRGE * George, stage name of Giorgio Moroder * George Harrison, an English musician and singer-songwriter Places South Africa * George, Western Cape ** George Airport United States * George, Iowa * George, Missouri * George, Washington * George County, Mississippi * George Air Force Base, a former U.S. Air Force base located in California Characters * George (Peppa Pig), a 2-year-old ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Søren Eilers
Søren (, ) or Sören (, ) is a Scandinavian given name that is sometimes Anglicized as Soren. The name is derived from that of the 4th-century Christian saint Severin of Cologne,Portal Rheinische Geschichte"Severin (circa 330-400), Heiliger und Bischof von Köln (397)"/ref> ultimately derived from the Latin ''severus'' ("severe, strict, serious"). Its feminine form is Sørine, though its use is uncommon. The patronymic surname Sørensen is derived from Søren. List of people with the given name Søren * Soren Sorensen Adams (1879–1963), American inventor *Søren Berg (born 1976), Danish football player *Søren "Bjergsen" Bjerg (born 1996), Danish ''League of Legends'' player *Søren Brorsen (1875–1961), Danish politician * Søren Gade (born 1963), Danish politician *Sören Johansson (born 1954), Swedish ice hockey player *Soren Johnson, American game designer *Søren Kierkegaard (1813–1855), Danish philosopher * Søren Larsen (born 1981), Danish football player * Søren ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bent Fuglede
Bent Fuglede (born 8 October 1925) is a Danish mathematician and, since 1992, professor emeritus at the University of Copenhagen. Biography He is known for his contributions to mathematical analysis, in particular functional analysis, where he has proved Fuglede's theorem and stated Fuglede's conjecture. Fuglede graduated from Skt. Jørgens Gymnasium 1943 and received his mag. scient. og cand. mag. in 1948 at the University of Copenhagen after which he studied in USA until 1951. In 1952 he was employed as scientific assistant at Den Polytekniske Læreanstalt and in 1954 as amanuensis at Matematisk Institut University of Copenhagen, in 1958 associate professor, and in 1959 head of department.''70 år: Bent Fuglede'' Politiken, 07.10.1995, 1. sektion, Side 15''Matematik for viderekomne. 70 i dag'' Berlingske Tidende, 08.10.1995, 2.sekt, Magasin, Side 13 Fuglede also spent one year in Lund (Sweden) as Nordic docent. Fuglede received his dr.phil. (Ph.D.) in 1960 from the Unive ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
C*-algebras
In mathematics, specifically in functional analysis, a C∗-algebra (pronounced "C-star") is a Banach algebra together with an involution satisfying the properties of the adjoint. A particular case is that of a complex algebra ''A'' of continuous linear operators on a complex Hilbert space with two additional properties: * ''A'' is a topologically closed set in the norm topology of operators. * ''A'' is closed under the operation of taking adjoints of operators. Another important class of non-Hilbert C*-algebras includes the algebra C_0(X) of complex-valued continuous functions on ''X'' that vanish at infinity, where ''X'' is a locally compact Hausdorff space. C*-algebras were first considered primarily for their use in quantum mechanics to model algebras of physical observables. This line of research began with Werner Heisenberg's matrix mechanics and in a more mathematically developed form with Pascual Jordan around 1933. Subsequently, John von Neumann attempted to estab ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Operator Algebras
In functional analysis, a branch of mathematics, an operator algebra is an algebra of continuous linear operators on a topological vector space, with the multiplication given by the composition of mappings. The results obtained in the study of operator algebras are phrased in algebraic terms, while the techniques used are highly analytic.''Theory of Operator Algebras I'' By Masamichi Takesaki, Springer 2012, p vi Although the study of operator algebras is usually classified as a branch of functional analysis, it has direct applications to representation theory, differential geometry, quantum statistical mechanics, quantum information, and quantum field theory. Overview Operator algebras can be used to study arbitrary sets of operators with little algebraic relation ''simultaneously''. From this point of view, operator algebras can be regarded as a generalization of spectral theory of a single operator. In general operator algebras are non-commutative rings. An operator alge ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
