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Andrew Browder
Andrew Browder (January 8, 1931 – March 24, 2019) was an American mathematician at Brown University. Early life and education Andrew Browder was born in Moscow, Russia, where his father Earl Browder, an American communist from Kansas, United States, was living and working for a period. His mother was Raissa Berkmann, a Russian Jewish woman from St. Petersburg. His brothers were Felix Browder, also born in Moscow, and William Browder (mathematician), William Browder. Andrew, Felix and William have careers in mathematics. Their father returned to the United States in the early 1930s, bringing his family with him. The senior Browder became head of the Communist Party USA. He ran for US president in 1936 and 1940. The analytic nature of the game of chess enthralled Andrew early on: "My own main sport was always chess. My father taught me the game when I was six, a friend of the family gave me a chess book when I was eleven or twelve, and after that I was hooked." Career Andrew tra ...
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Moscow
Moscow ( , US chiefly ; rus, links=no, Москва, r=Moskva, p=mɐskˈva, a=Москва.ogg) is the capital and largest city of Russia. The city stands on the Moskva River in Central Russia, with a population estimated at 13.0 million residents within the city limits, over 17 million residents in the urban area, and over 21.5 million residents in the metropolitan area. The city covers an area of , while the urban area covers , and the metropolitan area covers over . Moscow is among the world's largest cities; being the most populous city entirely in Europe, the largest urban and metropolitan area in Europe, and the largest city by land area on the European continent. First documented in 1147, Moscow grew to become a prosperous and powerful city that served as the capital of the Grand Duchy that bears its name. When the Grand Duchy of Moscow evolved into the Tsardom of Russia, Moscow remained the political and economic center for most of the Tsardom's history. When th ...
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Chess
Chess is a board game for two players, called White and Black, each controlling an army of chess pieces in their color, with the objective to checkmate the opponent's king. It is sometimes called international chess or Western chess to distinguish it from related games, such as xiangqi (Chinese chess) and shogi (Japanese chess). The recorded history of chess goes back at least to the emergence of a similar game, chaturanga, in seventh-century India. The rules of chess as we know them today emerged in Europe at the end of the 15th century, with standardization and universal acceptance by the end of the 19th century. Today, chess is one of the world's most popular games, played by millions of people worldwide. Chess is an abstract strategy game that involves no hidden information and no use of dice or cards. It is played on a chessboard with 64 squares arranged in an eight-by-eight grid. At the start, each player controls sixteen pieces: one king, one queen, two rooks, t ...
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Textbook
A textbook is a book containing a comprehensive compilation of content in a branch of study with the intention of explaining it. Textbooks are produced to meet the needs of educators, usually at educational institutions. Schoolbooks are textbooks and other books used in schools. Today, many textbooks are published in both print and digital formats. History The history of textbooks dates back to ancient civilizations. For example, Ancient Greeks wrote educational texts. The modern textbook has its roots in the mass production made possible by the printing press. Johannes Gutenberg himself may have printed editions of ''Ars Minor'', a schoolbook on Latin grammar by Aelius Donatus. Early textbooks were used by tutors and teachers (e.g. alphabet books), as well as by individuals who taught themselves. The Greek philosopher Socrates lamented the loss of knowledge because the media of transmission were changing. Before the invention of the Greek alphabet 2,500 years ago, knowledge ...
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Mathematical Reviews
''Mathematical Reviews'' is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science. The AMS also publishes an associated online bibliographic database called MathSciNet which contains an electronic version of ''Mathematical Reviews'' and additionally contains citation information for over 3.5 million items as of 2018. Reviews Mathematical Reviews was founded by Otto E. Neugebauer in 1940 as an alternative to the German journal ''Zentralblatt für Mathematik'', which Neugebauer had also founded a decade earlier, but which under the Nazis had begun censoring reviews by and of Jewish mathematicians. The goal of the new journal was to give reviews of every mathematical research publication. As of November 2007, the ''Mathematical Reviews'' database contained information on over 2.2 million articles. The authors of reviews are volunteers, ...
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Dirichlet Algebra
In mathematics, a Dirichlet algebra is a particular type of algebra associated to a compact Hausdorff space ''X''. It is a closed subalgebra of ''C''(''X''), the uniform algebra of bounded continuous functions on ''X'', whose real parts are dense in the algebra of bounded continuous real functions on ''X''. The concept was introduced by . Example Let \mathcal(X) be the set of all rational functions that are continuous on X; in other words functions that have no poles in X. Then :\mathcal = \mathcal(X) + \overline is a *-subalgebra of C(X), and of C\left(\partial X\right). If \mathcal is dense in C\left(\partial X\right), we say \mathcal(X) is a Dirichlet algebra. It can be shown that if an operator T has X as a spectral set, and \mathcal(X) is a Dirichlet algebra, then T has a normal boundary dilation. This generalises Sz.-Nagy's dilation theorem The Sz.-Nagy dilation theorem (proved by Béla Szőkefalvi-Nagy) states that every contraction ''T'' on a Hilbert space ''H'' has a ...
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Function Algebra
In functional analysis, a Banach function algebra on a compact Hausdorff space ''X'' is unital subalgebra, ''A'', of the commutative C*-algebra ''C(X)'' of all continuous, complex-valued functions from ''X'', together with a norm on ''A'' that makes it a Banach algebra. A function algebra is said to vanish at a point ''p'' if ''f''(''p'') = 0 for all f\in A . A function algebra separates points if for each distinct pair of points p,q \in X , there is a function f\in A such that f(p) \neq f(q) . For every x\in X define \varepsilon_x(f)=f(x), for f\in A. Then \varepsilon_x is a homomorphism (character) on A, non-zero if A does not vanish at x. Theorem: A Banach function algebra is semisimple (that is its Jacobson radical is equal to zero) and each commutative unital, semisimple Banach algebra is isomorphic (via the Gelfand transform) to a Banach function algebra on its character space (the space of algebra homomorphisms from ''A'' into the complex numbers given the re ...
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University Of Richmond
The University of Richmond (UR or U of R) is a private liberal arts college in Richmond, Virginia. It is a primarily undergraduate, residential institution with approximately 4,350 undergraduate and graduate students in five schools: the School of Arts and Sciences, the E. Claiborne Robins School of Business, the Jepson School of Leadership Studies, the University of Richmond School of Law and the School of Professional & Continuing Studies. It is classified among "Baccalaureate Colleges: Arts & Sciences Focus". History The University of Richmond traces its history to a meeting of the Baptist General Association of Virginia held on June 8, 1830. The BGAV resolved "that the Baptists of this State form an education society for the improvement of the ministry." Thus, the Virginia Baptist Education Society was instituted. However, the society did not have enough funds for a proper school yet. In the meantime, they asked their vice-president, Rev. Edward Baptist, "to accept into his ...
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Project MUSE
Project MUSE, a non-profit collaboration between libraries and publishers, is an online database of peer-reviewed academic journals and electronic books. Project MUSE contains digital humanities and social science content from over 250 university presses and scholarly societies around the world. It is an aggregator of digital versions of academic journals, all of which are free of digital rights management (DRM). It operates as a third-party acquisition service like EBSCO, JSTOR, OverDrive, and ProQuest. MUSE's online journal collections are available on a subscription basis to academic, public, special, and school libraries. Currently, more than 2,500 libraries worldwide subscribe. Electronic book collections became available for institutional purchase in January 2012. Thousands of scholarly books are available on the platform. History Project MUSE was founded in 1993 as a joint project between the Johns Hopkins University Press and the Milton S. Eisenhower Library at the Johns ...
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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 ...
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Aarhus, Denmark
Aarhus (, , ; officially spelled Århus from 1948 until 1 January 2011) is the second-largest city in Denmark and the seat of Aarhus municipality, Aarhus Municipality. It is located on the eastern shore of Jutland in the Kattegat sea and approximately northwest of Copenhagen. The largest city in Jutland, Aarhus anchors the Central Denmark Region and the statistical region ' (''LØ'') (lit.: Province East Jutland). The LØ is the second most populous statistical region in Denmark with an estimated population of 903,974 (). Aarhus Municipality defines the greater Aarhus area as itself and eight adjacent municipalities totalling 952,824 inhabitants () which is roughly analogous to the municipal and commercial collaboration Business Region Aarhus. The city proper, with an estimated population of 285,273 inhabitants (), ranks as the List of cities and towns in Denmark, 2nd-largest city in Denmark. Aarhus dates back to at least the late 8th century and is among the oldest cities ...
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University Of California, Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant university and the founding campus of the University of California system. Its fourteen colleges and schools offer over 350 degree programs and enroll some 31,800 undergraduate and 13,200 graduate students. Berkeley ranks among the world's top universities. A founding member of the Association of American Universities, Berkeley hosts many leading research institutes dedicated to science, engineering, and mathematics. The university founded and maintains close relationships with three national laboratories at Berkeley, Livermore and Los Alamos, and has played a prominent role in many scientific advances, from the Manhattan Project and the discovery of 16 chemical elements to breakthroughs in computer science and genomics. Berkeley is ...
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