Graduate Texts In Mathematics
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Graduate Texts In Mathematics
Graduate Texts in Mathematics (GTM) () is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The books in this series, like the other Springer-Verlag mathematics series, are yellow books of a standard size (with variable numbers of pages). The GTM series is easily identified by a white band at the top of the book. The books in this series tend to be written at a more advanced level than the similar Undergraduate Texts in Mathematics series, although there is a fair amount of overlap between the two series in terms of material covered and difficulty level. List of books #''Introduction to Axiomatic Set Theory'', Gaisi Takeuti, Wilson M. Zaring (1982, 2nd ed., ) #''Measure and Category – A Survey of the Analogies between Topological and Measure Spaces'', John C. Oxtoby (1980, 2nd ed., ) #''Topological Vector Spaces'', H. H. Schaefer, M. P. Wolff (1999, 2nd ed., ) #''A Course in Homological Algebra'', Peter Hilton, Urs Stammbach (1997, 2 ...
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Graduate School
Postgraduate education, graduate education, or graduate school consists of academic or professional degrees, certificates, diplomas, or other qualifications usually pursued by post-secondary students who have earned an undergraduate (bachelor's) degree. The organization and structure of postgraduate education varies in different countries, as well as in different institutions within countries. The term "graduate school" or "grad school" is typically used in North America, while "postgraduate" is more common in the rest of the English-speaking world. Graduate degrees can include master's and doctoral degrees, and other qualifications such as graduate diplomas, certificates and professional degrees. A distinction is typically made between graduate schools (where courses of study vary in the degree to which they provide training for a particular profession) and professional schools, which can include medical school, law school, business school, and other institutions of ...
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Murray Rosenblatt
Murray Rosenblatt (September 7, 1926 – October 9, 2019) was a statistician specializing in time series analysis who was a professor of mathematics at the University of California, San Diego. He received his Ph.D. at Cornell University. He was also a recipient of a Guggenheim Fellowship, in 1965, and was a member of the National Academy of Sciences. He wrote about 140 research articles, 4 books, and co-edited 6 books. Education and career Rosenblatt was born in New York City and went to City College of New York. He completed his PhD in 1949 under the direction of Mark Kac at Cornell University. He became an instructor/assistant professor in the Committee of Statistics at the University of Chicago. He was at the Indiana University, and Brown University before his joining the University of California at San Diego in 1964. He became well known for his contributions on time series and Markov processes. He conducted seminal work on density estimation, central limit theorems under stron ...
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William Arveson
William B. Arveson (22 November 1934 – 15 November 2011) was a mathematician specializing in operator algebras who worked as a professor of Mathematics at the University of California, Berkeley. Biography Arveson obtained his Ph.D. from UCLA in 1964 with thesis advisor Henry Dye and thesis ''Prediction theory and group representations''. Of particular note is Arveson's work on completely positive maps. One of his earlier results in this area is an extension theorem for completely positive maps with values in the algebra of all bounded operators on a Hilbert space. This theorem led naturally to the question of injectivity of von-Neumann algebras in general, which culminated in work by Alain Connes relating injectivity to hyperfiniteness. One of the major features of Arveson's work was the use of algebras of operators to elucidate single operator theory. In a series of papers in the 1960s and 1970s, Arveson introduced noncommutative analogues of several concepts from classical ...
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Hans Grauert
Hans Grauert (8 February 1930 in Haren, Emsland, Germany – 4 September 2011) was a German mathematician. He is known for major works on several complex variables, complex manifolds and the application of sheaf theory in this area, which influenced later work in algebraic geometry.Bauer, I. C. ''et al.'' (2002Complex geometry: collection of papers dedicated to Hans Grauert Springer. Together with Reinhold Remmert he established and developed the theory of complex-analytic spaces. He became professor at the University of Göttingen in 1958, as successor to C. L. Siegel. The lineage of this chair traces back through an eminent line of mathematicians: Weyl, Hilbert, Riemann, and ultimately to Gauss.Grauert, H. (1994Selected Papers Springer. Until his death, he was professor emeritus at Göttingen. Grauert was awarded a fellowship of the Leopoldina and the von Staudt Prize. Early life Grauert attended school at the Gymnasium in Meppen before studying for a semester at ...
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Isaac Namioka
Isaac Namioka (April 25, 1928 – September 25, 2019) was a Japanese-American mathematician who worked in general topology and functional analysis. He was a professor emeritus of mathematics at the University of Washington. He died at home in Seattle on September 25, 2019. Early life and education Namioka was born in Tōno, not far from Namioka in the north of Honshu, Japan. When he was young his parents moved farther south, to Himeji.. He attended graduate school at the University of California, Berkeley, earning a doctorate in 1956 under the supervision of John L. Kelley. As a graduate student, Namioka married Chinese-American mathematics student Lensey Namioka, later to become a well-known novelist who used Namioka's Japanese heritage in some of her novels. Career Namioka taught at Cornell University until 1963, when he moved to the University of Washington. There he was the doctoral advisor to four students. He has over 20 academic descendants, largely through his student ...
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John Wermer
John Wermer was a mathematician specializing in complex analysis. Wermer received his Ph.D. from Harvard University in 1951 under the supervision of George Whitelaw Mackey. He became an instructor at Yale University, after which he was hired as a professor at Brown University in 1954. He retired in 1994. In 1962 Wermer was an invited speaker at the International Congress of Mathematicians in Stockholm. In 2012, Wermer became a fellow of the American Mathematical Society. On August 29, 2022, Wermer died in Providence, Rhode Island Rhode Island ( ) is a state in the New England region of the Northeastern United States. It borders Connecticut to its west; Massachusetts to its north and east; and the Atlantic Ocean to its south via Rhode Island Sound and Block Is ... at the age of 95. References Fellows of the American Mathematical Society Harvard University alumni {{mathematician-stub ...
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Frank Spitzer
Frank Ludvig Spitzer (July 24, 1926 – February 1, 1992) was an Austrian-born, Jewish-American mathematician who was a longtime professor at Cornell University and made fundamental contributions to probability theory, especially the theory of random walks, Brownian motion, and fluctuation theory, and then the theory of interacting particle systems. Other areas he made contributions to include percolation theory and the Wiener sausage. He focussed broadly on "phenomena", rather than any one of the many specific theorems that might help to articulate a given phenomenon. His book ''Principles of Random Walk'', first published in 1964, remains a well-cited classic. Spitzer was born on July 24, 1926, in Vienna, into an Austrian Jewish family. By the time he was twelve years old, the Nazi threat in Austria was evident. His parents were able to send him to a summer camp for Jewish children in Sweden, and, as a result, Spitzer spent all of the World War II years in Sweden. He lived w ...
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Morris W
Morris may refer to: Places Australia *St Morris, South Australia, place in South Australia Canada * Morris Township, Ontario, now part of the municipality of Morris-Turnberry * Rural Municipality of Morris, Manitoba ** Morris, Manitoba, a town mostly surrounded by the municipality * Morris (electoral district), Manitoba (defunct) * Rural Municipality of Morris No. 312, Saskatchewan United States ;Communities * Morris, Alabama, a town * Morris, Connecticut, a town * Morris, Georgia, an unincorporated community * Morris, Illinois, a city * Morris, Indiana, an unincorporated community * Morris, Minnesota, a city * Morristown, New Jersey, a town * Morris (town), New York ** Morris (village), New York * Morris, Oklahoma, a city * Morris, Pennsylvania, an unincorporated community * Morris, West Virginia, an unincorporated community * Morris, Kanawha County, West Virginia, a ghost town * Morris, Wisconsin, a town * Morris Township (other) ;Counties and ...
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Nathan Jacobson
Nathan Jacobson (October 5, 1910 – December 5, 1999) was an American mathematician. Biography Born Nachman Arbiser in Warsaw, Jacobson emigrated to America with his family in 1918. He graduated from the University of Alabama in 1930 and was awarded a doctorate in mathematics from Princeton University in 1934. While working on his thesis, ''Non-commutative polynomials and cyclic algebras'', he was advised by Joseph Wedderburn. Jacobson taught and researched at Bryn Mawr College (1935–1936), the University of Chicago (1936–1937), the University of North Carolina at Chapel Hill (1937–1943), and Johns Hopkins University (1943–1947) before joining Yale University in 1947. He remained at Yale until his retirement. He was a member of the National Academy of Sciences and the American Academy of Arts and Sciences. He served as president of the American Mathematical Society from 1971 to 1973, and was awarded their highest honour, the Leroy P. Steele prize for lifetime achievemen ...
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Pierre Samuel
Pierre Samuel (12 September 1921 – 23 August 2009) was a French mathematician, known for his work in commutative algebra and its applications to algebraic geometry. The two-volume work ''Commutative Algebra'' that he wrote with Oscar Zariski is a classic. Other books of his covered projective geometry and algebraic number theory. Early life and education Samuel studied at the Lycée Janson-de-Sailly in Paris before attending the École Normale Supérieure where he studied for his Agrégé de mathematique. He received his Master of Arts and then a Ph.D. from Princeton University in 1947, under the supervision of Oscar Zariski, with a thesis "Ultrafilters and Compactification of Uniform Spaces". Career Samuel ran a Paris seminar during the 1960s, and became Professeur émérite at the Université Paris-Sud (Orsay). His lectures on unique factorization domains published by the Tata Institute of Fundamental Research played a significant role in computing the Picard group of a ...
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Oscar Zariski
Oscar Zariski (April 24, 1899 – July 4, 1986) was an American mathematician. The Russian-born scientist was one of the most influential algebraic geometers of the 20th century. Education Zariski was born Oscher (also transliterated as Ascher or Osher) Zaritsky to a Jewish family (his parents were Bezalel Zaritsky and Hanna Tennenbaum) and in 1918 studied at the University of Kyiv. He left Kyiv in 1920 to study at the University of Rome where he became a disciple of the Italian school of algebraic geometry, studying with Guido Castelnuovo, Federigo Enriques and Francesco Severi. Zariski wrote a doctoral dissertation in 1924 on a topic in Galois theory, which was proposed to him by Castelnuovo. At the time of his dissertation publication, he changed his name to Oscar Zariski. Johns Hopkins University years Zariski emigrated to the United States in 1927 supported by Solomon Lefschetz. He had a position at Johns Hopkins University where he became professor in 1937. During this ...
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John L
"John L" is a song by English rock band Black Midi, released in 2021 as the lead single from their second studio album, ''Cavalcade (Black Midi album), Cavalcade''. The song describes the story of a powerful leader, the titular John L, who is eventually betrayed and killed by his followers. It was released on March 23, with the B-side Despair and a music video directed by Nina McNeely. A 12-inch release for the single was made available for pre-order on the same day and released on April 9. The song is one of few on ''Cavalcade'' to have writing credits for guitarist Matt Kwasniewski-Kelvin, written before his departure from the band but recorded after. Composition and recording "John L" is an Avant-garde music, avant-garde progressive rock song described by ''Guitar World'' as "[featuring] dissonant piano chimes, weaving hypnotic vocals, a cacophony of string sounds, and an edge-of-the-seat dynamic range, spanning from complete silence to raucous, high-energy midsections." ''Mi ...
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