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Bateman Manuscript Project
The Bateman Manuscript Project was a major effort at collation and encyclopedic compilation of the mathematical theory of special functions. It resulted in the eventual publication of five important reference volumes, under the editorship of Arthur Erdélyi. Overview The theory of special functions was a core activity of the field of applied mathematics, from the middle of the nineteenth century to the advent of high-speed electronic computing. The intricate properties of spherical harmonics, elliptic functions and other staples of problem-solving in mathematical physics, astronomy and right across the physical sciences, are not easy to document completely, absent a theory explaining the inter-relationships. Mathematical tables to perform actual calculations needed to mesh with an adequate theory of how functions could be transformed into those already tabulated. Harry Bateman, a distinguished applied mathematician, undertook the somewhat quixotic task of trying to collate the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Special Functions
Special functions are particular mathematical functions that have more or less established names and notations due to their importance in mathematical analysis, functional analysis, geometry, physics, or other applications. The term is defined by consensus, and thus lacks a general formal definition, but the list of mathematical functions contains functions that are commonly accepted as special. Tables of special functions Many special functions appear as solutions of differential equations or integrals of elementary functions. Therefore, tables of integrals usually include descriptions of special functions, and tables of special functions include most important integrals; at least, the integral representation of special functions. Because symmetries of differential equations are essential to both physics and mathematics, the theory of special functions is closely related to the theory of Lie groups and Lie algebras, as well as certain topics in mathematical physics. Symbolic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Richard Askey
Richard Allen Askey (June 4, 1933 – October 9, 2019) was an American mathematician, known for his expertise in the area of special functions. The Askey–Wilson polynomials (introduced by him in 1984 together with James A. Wilson) are on the top level of the (q-)Askey scheme, which organizes orthogonal polynomials of (q-)hypergeometric type into a hierarchy. The Askey–Gasper inequality for Jacobi polynomials is essential in de Brange's famous proof of the Bieberbach conjecture. Biography Askey earned a B.A. at Washington University in St. Louis in 1955, an M.A. at Harvard University in 1956, and a Ph.D. at Princeton University in 1961. After working as an instructor at Washington University (1958–1961) and University of Chicago (1961–1963), he joined the faculty of the University of Wisconsin–Madison in 1963 as an Assistant Professor of Mathematics. He became a full professor at Wisconsin in 1968, and since 2003 was a professor emeritus. Askey was a Guggenheim Fel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics Literature
Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of abstract objects that consist of either abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to prove properties of objects, a ''proof'' consisting of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstracti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nauka (publisher)
Nauka () is a Russian publisher of academic books and journals. Established in the USSR in 1923, it was called the USSR Academy of Sciences Publishing House until 1963. Until 1934 the publisher was based in Saint Petersburg, Leningrad, then moved to Moscow. Its logo depicts an open book with Sputnik 1 above it. Nauka was the largest scientific publishing house in the USSR, as well as in the world at one time (in 1982). It was also notable for being the publisher of the USSR Academy of Sciences and its branches. In 1972 Nauka published 135 scientific journals, including 31 physical and mathematical, 24 chemical, 29 biological and five popular science journals: ''Priroda'' (Nature), ''Zemlya i Vselennaya'' (Earth and the Universe), ''Khimia i zhizn'' (Chemistry and Life), ''Kvant (magazine), Kvant'' (Quantum), and ''Russkaya rech'' (Russian speech). The greater part of Nauka's production were monographs. It also published thematic collected works, reference books, textbooks and fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Earnest C
Earnest is a masculine given name and a surname which may refer to: Given name * Earnest Andersson (1878–1943), American polymath * Earnest Brown IV (born 1999), American football player * Earnest Byner (born 1962), American football player * Earnest Elmo Calkins (1868–1964), American early advertising innovator *Earnest Sevier Cox (1880–1966), American Methodist preacher * Earnest Frank, American football coach * Earnest Graham (born 1980), American football player * Earnest Gray (born 1957), American football player * Earnest Greene (born 2003), American football player *Earnest Hooton (1887–1954), American physical anthropologist *Ernie Hudson (born 1945), American actor * Earnest Jackson (born 1959), American football player * Earnest Mudzengi, Zimbabwean politician * Earnest Pugh, American gospel singer-songwriter * Earnest Rhone (born 1953), former NFL linebacker * Earnest Ross (born 1991), American professional basketball player * Earnest James Ujaama (born 1965), Am ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mina Rees
Mina Spiegel Rees (August 2, 1902 – October 25, 1997) was an American mathematician. She is known for her assistance to the US Government during WWII, as well as making several breakthroughs for women in science. Her most notable accomplishments include becoming the first female President of the American Association for the Advancement of Science (1971) and head of the mathematics department of the Office of Naval Research of the US. Rees was a pioneer in the history of computing and helped establish funding streams and institutional infrastructure for research. She also helped other women succeed in mathematics with her involvement in the Association for Women in Mathematics as well as her life-long career as a professor at Hunter College. Personal life Rees was the daughter of Moses and Alice Louise (née Stackhouse) Rees. Her mother (Alice Louise) emigrated from Germany in 1882. Mina Rees grew up with four siblings: Elsie Isabella Rees, Albert L Rees, Clyde Harvey Rees, and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
McGraw-Hill Book Company, Inc
McGraw Hill is an American education science company that provides educational content, software, and services for students and educators across various levels—from K-12 to higher education and professional settings. They produce textbooks, digital learning tools, and adaptive technology to enhance learning experiences and outcomes. It is one of the "big three" educational publishers along with Houghton Mifflin Harcourt and Pearson Education. McGraw Hill also publishes reference and trade publications for the medical, business, and engineering professions. Formerly a division of The McGraw Hill Companies (later renamed McGraw Hill Financial, now S&P Global), McGraw Hill Education was divested and acquired by Apollo Global Management in March 2013 for $2.4 billion in cash. McGraw Hill was sold in 2021 to Platinum Equity for $4.5 billion. History McGraw Hill was founded in 1888, when James H. McGraw, co-founder of McGraw Hill, purchased the ''American Journal of Railway Ap ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Digital Library Of Mathematical Functions
Digital usually refers to something using discrete digits, often binary digits. Businesses *Digital bank, a form of financial institution *Digital Equipment Corporation (DEC) or Digital, a computer company *Digital Research (DR or DRI), a software company Computing and technology Hardware *Digital electronics, electronic circuits which operate using digital signals **Digital camera, which captures and stores digital images *** Digital versus film photography **Digital computer, a computer that handles information represented by discrete values **Digital recording, information recorded using a digital signal Socioeconomic phenomena *Digital culture, the anthropological dimension of the digital social changes *Digital divide, a form of economic and social inequality in access to or use of information and communication technologies * Digital economy, an economy based on computing and telecommunications resources *Digital rights, legal rights of access to computers or the Internet O ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
NIST Handbook Of Mathematical Functions
The National Institute of Standards and Technology (NIST) is an agency of the United States Department of Commerce whose mission is to promote American innovation and industrial competitiveness. NIST's activities are organized into physical science laboratory programs that include nanoscale science and technology, engineering, information technology, neutron research, material measurement, and physical measurement. From 1901 to 1988, the agency was named the National Bureau of Standards. History Background The Articles of Confederation, ratified by the colonies in 1781, provided: The United States in Congress assembled shall also have the sole and exclusive right and power of regulating the alloy and value of coin struck by their own authority, or by that of the respective states—fixing the standards of weights and measures throughout the United States. Article 1, section 8, of the Constitution of the United States, ratified in 1789, granted these powers to the new Cong ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Magnus And Oberhettinger
Hans Heinrich Wilhelm Magnus, known as Wilhelm Magnus (5 February 1907 in Berlin, Germany – 15 October 1990 in New Rochelle, New York), was a German-American mathematician. He made important contributions in combinatorial group theory, Lie algebras, mathematical physics, elliptic functions, and the study of tessellations. Biography In 1931, Magnus received his PhD from the University of Frankfurt in Germany. His thesis, written under the direction of Max Dehn, was entitled ''Über unendlich diskontinuierliche Gruppen von einer definierenden Relation (der Freiheitssatz)''. Magnus was a faculty member in Frankfurt from 1933 until 1938. He refused to join the Nazi Party and, as a consequence, was not allowed to hold an academic post during World War II. In 1947, he became a professor at the University of Göttingen. In 1948, he emigrated to the United States to collaborate on the Bateman Manuscript Project as a co-editor while a visiting professor at the California Institute of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jahnke And Emde
Paul Rudolf Eugen Jahnke (November 30, 1861, in Berlin – October 18, 1921, in Berlin) was a German mathematician. Jahnke studied mathematics and physics at the University of Berlin, where he graduated in 1886. In 1889 he received his doctorate from Martin-Luther-Universität Halle-Wittenberg under Albert Wangerin on the integration of first-order ordinary differential equations. After that, he was a teacher at secondary schools in Berlin, where he simultaneously in 1901 taught at the ''Königlich Technische Hochschule Berlin'' (now TU Berlin) and in 1905 he became a professor at the Mining Academy in Berlin, which merged in 1916 with the ''Technische Hochschule''. In 1919 he became rector of that institution. In 1900 Jahnke read a paper at the International Congress of Mathematicians in Paris. He was editor of the Archives of Mathematics and Physics and contributor to the Yearbook for the Progress of Mathematics. He wrote an early book on vector calculus Vector calculus ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abramowitz And Stegun
''Abramowitz and Stegun'' (''AS'') is the informal name of a 1964 mathematical reference work edited by Milton Abramowitz and Irene Stegun of the United States National Bureau of Standards (NBS), now the National Institute of Standards and Technology (NIST). Its full title is ''Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables''. A digital successor to the Handbook was released as the " Digital Library of Mathematical Functions" (DLMF) on 11 May 2010, along with a printed version, the '' NIST Handbook of Mathematical Functions'', published by Cambridge University Press. Overview Since it was first published in 1964, the 1046-page ''Handbook'' has been one of the most comprehensive sources of information on special functions, containing definitions, identities, approximations, plots, and tables of values of numerous functions used in virtually all fields of applied mathematics. The notation used in the ''Handbook'' is the '' de facto'' standard ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
