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Albert Charles Schaeffer
Albert Charles Schaeffer (13 August 1907, Belvidere, Illinois – 2 February 1957) was an American mathematician who worked on complex analysis. Biography Schaeffer was the son of Albert John and Mary Plane Schaeffer (née Herrick). He studied civil engineering at the University of Wisconsin, Madison (bachelor's degree 1930) and was from 1930 to 1933 employed as a highway engineer. In 1936 he received a PhD in mathematics under Eberhard Hopf at MIT. From 1936 to 1939 he was an instructor at Purdue University. In 1939 he became an instructor at Stanford University, where he became in 1941 assistant professor, in 1943 associate professor, and in 1946 professor. From 1947 to 1950 Schaeffer was a professor at Purdue University. From 1950 to 1957 he was a professor at the University of Wisconsin, Madison, and in the academic year 1956/57 the chair of the mathematics department. Schaeffer worked with Donald Spencer at Stanford University on variational problems of conformal mapping, '' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Belvidere, Illinois
Belvidere is a city in Boone County, settled on the Kishwaukee River in far northern Illinois, United States. Known as the 'City of Murals', Belvidere is home to several public art installations throughout the North and South State Street historic districts, which are on the national register of historic places. These historic districts are home to places like the Boone County Museum of History, The Funderburg Museum, several restaurants and bars, antique stores and Boutique stores. Popular festivities like Heritage Days are held yearly. The population was 25,339 as of the 2020 census. It is the county seat of Boone County. Belvidere is part of the Rockford, Illinois Metropolitan Statistical Area. Geography Belvidere is located at (42.254758, -88.844093), and sits approximately above sea level. According to the 2021 census gazetteer files, Belvidere has a total area of , of which (or 98.08%) is land and (or 1.92%) is water. Located in north central Illinois, on a county on ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bôcher Memorial Prize
The Bôcher Memorial Prize was founded by the American Mathematical Society in 1923 in memory of Maxime Bôcher with an initial endowment of $1,450 (contributed by members of that society). It is awarded every three years (formerly every five years) for a notable research work in analysis that has appeared during the past six years. The work must be published in a recognized, peer-reviewed venue. The current award is $5,000. There have been thirty-seven prize recipients. The first woman to win the award, Laure Saint-Raymond, did so in 2020. About eighty percent of the journal articles recognized since 2000 have been from ''Annals of Mathematics'', the '' Journal of the American Mathematical Society'', ''Inventiones Mathematicae'', and ''Acta Mathematica''. Past winners * 1923 George David Birkhoff for ::''Dynamical systems with two degrees of freedom.'' Trans. Amer. Math. Soc. 18 (1917), 119-300. * 1924 Eric Temple Bell for ::''Arithmetical paraphrases. I,II.'' Trans. Amer. Mat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Analysts
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1957 Deaths
1957 (Roman numerals, MCMLVII) was a Common year starting on Wednesday, common year starting on Tuesday of the Gregorian calendar, the 1957th year of the Common Era (CE) and ''Anno Domini'' (AD) designations, the 957th year of the 2nd millennium, the 57th year of the 20th century, and the 8th year of the 1950s decade. Events January * January 1 – The Saarland joins West Germany. * January 3 – Hamilton Watch Company introduces the first electric watch. * January 5 – South African player Russell Endean becomes the first batsman to be Dismissal (cricket), dismissed for having ''handled the ball'', in Test cricket. * January 9 – British Prime Minister Anthony Eden resigns. * January 10 – Harold Macmillan becomes Prime Minister of the United Kingdom. * January 11 – The African Convention is founded in Dakar. * January 14 – Kripalu Maharaj is named fifth Jagadguru (world teacher), after giving seven days of speeches before 500 Hindu scholars. * January 15 – The film ' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1907 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 Slipk ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Duffin–Schaeffer Conjecture
The Duffin–Schaeffer conjecture was a conjecture (now a theorem) in mathematics, specifically, the Diophantine_approximation#Khinchin's_theorem_and_extensions, Diophantine approximation proposed by Richard Duffin, R. J. Duffin and Albert Charles Schaeffer, A. C. Schaeffer in 1941. It states that if f : \mathbb \rightarrow \mathbb^+ is a real number, real-valued function (mathematics), function taking on positive values, then for almost all \alpha (with respect to Lebesgue measure), the inequality (mathematics), inequality : \left, \alpha - \frac \ 0 if and only if : \sum_^\infty f(q) \frac = \infty, where \varphi(q) is Euler's totient function. In 2019, the Duffin–Schaeffer conjecture was mathematical proof, proved by Dimitris Koukoulopoulos and James Maynard (mathematician), James Maynard. Progress That existence of the rational number, rational approximations implies divergent series, divergence of the series (mathematics), series follows from the Borel–Cantelli lemma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential in in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Richard Duffin
Richard James Duffin (1909 – October 29, 1996) was an American physicist, known for his contributions to electrical transmission theory and to the development of geometric programming and other areas within operations research. Education and career Duffin obtained a BSc in physics at the University of Illinois, where he was elected to Sigma Xi in 1932. He stayed at Illinois for his PhD, which was advised by Harold Mott-Smith and David Bourgin, producing a thesis entitled ''Galvanomagnetic and Thermomagnetic Phenomena'' (1935). Duffin lectured at Purdue University and Illinois before joining the Carnegie Institute in Washington, D.C. during World War II.Richard J. Duffin from the |
George Forsythe
George Elmer Forsythe (January 8, 1917 – April 9, 1972) was an American computer scientist and numerical analyst who founded and led Stanford University's Computer Science Department. Forsythe is often credited with coining the term "computer science" and is recognized as a founding figure in the field. Forsythe came to Stanford in the Mathematics Department in 1959, and served as professor and chairman of the Computer Science department from 1965 until his death. He served as the president of the Association for Computing Machinery (ACM), and also co-authored four books on computer science and a fifth on meteorology, and edited more than 75 other books on computer science. Early life George Elmer Forsythe was born on January 8, 1917 in State College, Pennsylvania. Forsythe's family moved to Ann Arbor, Michigan when George was a young boy. Forsythe became interested in computing at a young age, experimenting with hand-cranked desk calculators. Forsythe earned a Bachelor of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gábor Szegő
Gábor Szegő () (January 20, 1895 – August 7, 1985) was a Hungarian-American mathematician. He was one of the foremost mathematical analysts of his generation and made fundamental contributions to the theory of orthogonal polynomials and Toeplitz matrices building on the work of his contemporary Otto Toeplitz. Life Szegő was born in Kunhegyes, Austria-Hungary (today Hungary), into a Jewish family as the son of Adolf Szegő and Hermina Neuman.Biography on the homepage of Kunhegyes (in Hungarian) He married the chemist Anna Elisabeth Neményi in 1919, with whom he had two children. In 1912 he started studies in at the |
Schlicht Function
In complex analysis, de Branges's theorem, or the Bieberbach conjecture, is a theorem that gives a necessary condition on a holomorphic function in order for it to map the open unit disk of the complex plane injectively to the complex plane. It was posed by and finally proven by . The statement concerns the Taylor coefficients a_n of a univalent function, i.e. a one-to-one holomorphic function that maps the unit disk into the complex plane, normalized as is always possible so that a_0=0 and a_1=1. That is, we consider a function defined on the open unit disk which is holomorphic and injective ('' univalent'') with Taylor series of the form :f(z)=z+\sum_ a_n z^n. Such functions are called ''schlicht''. The theorem then states that : , a_n, \leq n \quad \textn\geq 2. The Koebe function (see below) is a function in which a_n=n for all n, and it is schlicht, so we cannot find a stricter limit on the absolute value of the nth coefficient. Schlicht functions The normalizations : ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
