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Arthur Milgram
Arthur Norton Milgram (3 June 1912, in Philadelphia – 30 January 1961) was an American mathematician. He made contributions in functional analysis, combinatorics, differential geometry, topology, partial differential equations, and Galois theory. Perhaps one of his more famous contributions is the Lax–Milgram theorem—a theorem in functional analysis that is particularly applicable in the study of partial differential equations. In the third chapter of Emil Artin's book ''Galois Theory'', Milgram also discussed some applications of Galois theory. Milgram also contributed to graph theory, by co-authoring the article ''Verallgemeinerung eines graphentheoretischen Satzes von Rédei'' with Tibor Gallai in 1960. Milgram received his Ph.D. from the University of Pennsylvania in 1937. He worked under the supervision of John Klinebr>(a student of Robert Lee Moore). His dissertation was titled "''Decompositions and Dimension of Closed Sets in'' ". Milgram advised 2 students at Syracus ... [...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] |
University Of Minnesota At Minneapolis
The University of Minnesota, formally the University of Minnesota, Twin Cities, (UMN Twin Cities, the U of M, or Minnesota) is a public land-grant research university in the Twin Cities of Minneapolis and Saint Paul, Minnesota, United States. The Twin Cities campus comprises locations in Minneapolis and Falcon Heights, a suburb of St. Paul, approximately apart. The Twin Cities campus is the oldest and largest in the University of Minnesota system and has the ninth-largest main campus student body in the United States, with 52,376 students at the start of the 2021–22 academic year. It is the flagship institution of the University of Minnesota System, and is organized into 19 colleges, schools, and other major academic units. The Minnesota Territorial Legislature drafted a charter for the U of M as a territorial university in 1851, seven years before Minnesota became a state. Today, the university is classified among "R1: Doctoral Universities – Very high research activity ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Jewish American Mathematicians
This is a list of notable Jewish American mathematicians. For other Jewish Americans, see Lists of Jewish Americans. * Abraham Adrian Albert (1905-1972), abstract algebra * Kenneth Appel (1932-2013), four-color problem * Lipman Bers (1914-1993), non-linear elliptic equations * Paul Cohen (1934-2007), set theorist; Fields Medal (1966) * Jesse Douglas (1897-1965), mathematician; Fields Medal (1936), Bôcher Memorial Prize (1943) * Samuel Eilenberg (1913-1988), category theory; Wolf Prize (1986), Steele Prize (1987) * Yakov Eliashberg (born 1946), symplectic topology and partial differential equations * Charles Fefferman (born 1949), mathematician; Fields Medal (1978), Bôcher Prize (2008) * William Feller (1906-1970), probability theory * Michael Freedman (born 1951), mathematician; Fields Medal (1986) * Hillel Furstenberg (born 1935), mathematician; Wolf Prize (2006/07), Abel Prize (2020) * Michael Golomb (1909-2008), theory of approximation * E. Morton Jellinek (1890-1963), ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lions–Lax–Milgram Theorem
In mathematics, the Lions–Lax–Milgram theorem (or simply Lions's theorem) is a result in functional analysis with applications in the study of partial differential equations. It is a generalization of the famous Lax–Milgram theorem, which gives conditions under which a bilinear function can be "inverted" to show the existence and uniqueness of a weak solution to a given boundary value problem. The result is named after the mathematicians Jacques-Louis Lions, Peter Lax and Arthur Milgram. Statement of the theorem Let ''H'' be a Hilbert space and ''V'' a normed space. Let ''B'' : ''H'' × ''V'' → R be a continuous function, continuous, bilinear function. Then the following are equivalent: * (coercive function, coercivity) for some constant ''c'' > 0, ::\inf_ \sup_ , B(h, v) , \geq c; * (existence of a "weak inverse") for each continuous linear functional ''f'' ∈ ''V''∗, there is an element ''h'' & ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fichera's Existence Principle
In mathematics, and particularly in functional analysis, Fichera's existence principle is an existence and uniqueness theorem for solution of functional equations, proved by Gaetano Fichera in 1954. More precisely, given a general vector space and two linear maps from it onto two Banach spaces, the principle states necessary and sufficient conditions for a linear transformation between the two dual Banach spaces to be invertible for every vector in .See , , , . See also * * * * * Notes References *. A survey of Gaetano Fichera's contributions to the theory of partial differential equations, written by two of his pupils. *. *. *: for a review of the book, see . *. The paper ''Some recent developments of the theory of boundary value problems for linear partial differential equations'' describes Fichera's approach to a general theory of boundary value problems for linear partial differential equations through a theorem similar in spirit to the Lax–Milgram theorem. *. A mo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Babuška–Lax–Milgram Theorem
In mathematics, the Babuška–Lax–Milgram theorem is a generalization of the famous Lax–Milgram theorem, which gives conditions under which a bilinear form can be "inverted" to show the existence and uniqueness of a weak solution to a given boundary value problem. The result is named after the mathematicians Ivo Babuška, Peter Lax and Arthur Milgram. Background In the modern, functional-analytic approach to the study of partial differential equations, one does not attempt to solve a given partial differential equation directly, but by using the structure of the vector space of possible solutions, e.g. a Sobolev space ''W'' ''k'',''p''. Abstractly, consider two real normed spaces ''U'' and ''V'' with their continuous dual spaces ''U''∗ and ''V''∗ respectively. In many applications, ''U'' is the space of possible solutions; given some partial differential operator Λ : ''U'' → ''V''∗ and a specified element ''f'' ∈ ''V''∗, the objecti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Notre Dame
The University of Notre Dame du Lac, known simply as Notre Dame ( ) or ND, is a private Catholic research university in Notre Dame, Indiana, outside the city of South Bend. French priest Edward Sorin founded the school in 1842. The main campus covers 1,261 acres (510 ha) in a suburban setting and contains landmarks such as the Golden Dome, the ''Word of Life'' mural (commonly known as ''Touchdown Jesus''), Notre Dame Stadium, and the Basilica. Originally for men, although some women earned degrees in 1918, the university began formally accepting undergraduate female students in 1972. Notre Dame has been recognized as one of the top universities in the United States. The university is organized into seven schools and colleges. Notre Dame's graduate program includes more than 50 master, doctoral and professional degrees offered by the six schools, including the Notre Dame Law School and an MD–PhD program offered in combination with the Indiana University School of Medicine ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Acta Scientiarum Mathematicarum
''Acta Scientiarum Mathematicarum'' is a Hungarian mathematical journal published by the János Bolyai Mathematical Institute (University of Szeged). It was established by Alfréd Haar and Frigyes Riesz in 1922. The current editor-in-chief is Lajos Molnár. The journal is abstracted and indexed in Scopus and Zentralblatt MATH zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastructur .... References External links * * {{ISSN, 0001-6969 Mathematics journals Publications established in 1922 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
De Gruyter
Walter de Gruyter GmbH, known as De Gruyter (), is a German scholarly publishing house specializing in academic literature. History The roots of the company go back to 1749 when Frederick the Great granted the Königliche Realschule in Berlin the royal privilege to open a bookstore and "to publish good and useful books". In 1800, the store was taken over by Georg Reimer (1776–1842), operating as the ''Reimer'sche Buchhandlung'' from 1817, while the school’s press eventually became the ''Georg Reimer Verlag''. From 1816, Reimer used the representative Sacken'sche Palace on Berlin's Wilhelmstraße for his family and the publishing house, whereby the wings contained his print shop and press. The building became a meeting point for Berlin salon life and later served as the official residence of the president of Germany. Born in Ruhrort in 1862, Walter de Gruyter took a position with Reimer Verlag in 1894. By 1897, at the age of 35, he had become sole proprietor of the h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Princeton University Press
Princeton University Press is an independent publisher with close connections to Princeton University. Its mission is to disseminate scholarship within academia and society at large. The press was founded by Whitney Darrow, with the financial support of Charles Scribner, as a printing press to serve the Princeton community in 1905. Its distinctive building was constructed in 1911 on William Street in Princeton. Its first book was a new 1912 edition of John Witherspoon's ''Lectures on Moral Philosophy.'' History Princeton University Press was founded in 1905 by a recent Princeton graduate, Whitney Darrow, with financial support from another Princetonian, Charles Scribner II. Darrow and Scribner purchased the equipment and assumed the operations of two already existing local publishers, that of the ''Princeton Alumni Weekly'' and the Princeton Press. The new press printed both local newspapers, university documents, ''The Daily Princetonian'', and later added book publishing to it ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
