|
Jean E. Rubin
Jean Estelle Hirsh Rubin (October 29, 1926 – October 25, 2002) was an American mathematician known for her research on the axiom of choice. She worked for many years as a professor of mathematics at Purdue University. Rubin wrote five books: three on the axiom of choice, and two more on more general topics in set theory and mathematical logic. Education and career Jean Hirsch was born in New York City, graduated from Queens College, City University of New York in 1948, and completed a master's degree at Columbia University in 1949. She did her doctoral studies at Stanford University, during which time she married and changed her name to Jean Rubin. She completed her Ph.D. at Stanford in 1955. Her dissertation, jointly supervised by J.C.C. McKinsey and Patrick Suppes, was ''Bi-Modal Logic, Double Closure Algebras and Hilbert Space''. She became a lecturer at the University of Oregon and, in 1960, an assistant professor at Michigan State University. In 1967, she moved again, to Pu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Axiom Of Choice
In mathematics, the axiom of choice, abbreviated AC or AoC, is an axiom of set theory. Informally put, the axiom of choice says that given any collection of non-empty sets, it is possible to construct a new set by choosing one element from each set, even if the collection is infinite. Formally, it states that for every indexed family (S_i)_ of nonempty sets (S_i as a nonempty set indexed with i), there exists an indexed set (x_i)_ such that x_i \in S_i for every i \in I. The axiom of choice was formulated in 1904 by Ernst Zermelo in order to formalize his proof of the well-ordering theorem. The axiom of choice is equivalent to the statement that every partition has a transversal. In many cases, a set created by choosing elements can be made without invoking the axiom of choice, particularly if the number of sets from which to choose the elements is finite, or if a canonical rule on how to choose the elements is available — some distinguishing property that happens to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equivalents Of The Axiom Of Choice
''Equivalents of the Axiom of Choice'' is a book in mathematics, collecting statements in mathematics that are true if and only if the axiom of choice holds. It was written by Herman Rubin and Jean E. Rubin, and published in 1963 by North-Holland as volume 34 of their Studies in Logic and the Foundations of Mathematics series. An updated edition, ''Equivalents of the Axiom of Choice, II'', was published as volume 116 of the same series in 1985. Topics At the time of the book's original publication, it was unknown whether the axiom of choice followed from the other axioms of Zermelo–Fraenkel set theory (ZF), or was independent of them, although it was known to be consistent with them from the work of Kurt Gödel. This book codified the project of classifying theorems of mathematics according to whether the axiom of choice was necessary in their proofs, or whether they could be proven without it. At approximately the same time as the book's publication, Paul Cohen proved that the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Columbia University Alumni
Columbia most often refers to: * Columbia (personification), the historical personification of the United States * Columbia University, a private university in New York City * Columbia Pictures, an American film studio owned by Sony Pictures * Columbia Sportswear, an American clothing company * Columbia, South Carolina * Columbia, Missouri Columbia may also refer to: Places North America Natural features * Columbia Plateau, a geologic and geographic region in the U.S. Pacific Northwest * Columbia River, in Canada and the United States ** Columbia Bar, a sandbar in the estuary of the Columbia River ** Columbia Country, the region of British Columbia encompassing the northern portion of that river's upper reaches *** Columbia Valley, a region within the Columbia Country ** Columbia Lake, a lake at the head of the Columbia River *** Columbia Wetlands, a protected area near Columbia Lake ** Columbia Slough, along the Columbia watercourse near Portland, Oregon * Glacial Lake ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Queens College, City University Of New York Alumni
Queens is the largest by area of the five boroughs of New York City, coextensive with Queens County, in the U.S. state of New York. Located near the western end of Long Island, it is bordered by the borough of Brooklyn and by Nassau County to its east, and shares maritime borders with the boroughs of Manhattan, the Bronx, and Staten Island, as well as with New Jersey. Queens is one of the most linguistically and ethnically diverse places in the world. With a population of 2,405,464 as of the 2020 census, Queens is the second-most populous county in New York state, behind Kings County (Brooklyn), and is therefore also the second-most populous of the five New York City boroughs. If Queens were its own city, it would be the fourth most-populous in the U.S. after the rest of New York City, Los Angeles, and Chicago. Queens is the fourth-most densely populated borough in New York City and the fourth-most densely populated U.S. county. Queens is highly diverse with approximately 4 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2002 Deaths
This is a list of lists of deaths of notable people, organized by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked below. 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 1986 Earlier years ''Deaths in years earlier than this can usually be found in the main articles of the years.'' See also * Lists of deaths by day * Deaths by year (category) {{DEFAULTSORT:deaths by year ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1926 Births
In Turkey, the year technically contained only 352 days. As Friday, December 18, 1926 ''(Julian Calendar)'' was followed by Saturday, January 1, 1927 '' (Gregorian Calendar)''. 13 days were dropped to make the switch. Turkey thus became the last country to officially adopt the Gregorian Calendar, which ended the 344-year calendrical switch around the world that took place in October, 1582 by virtue of the Papal Bull made by Pope Gregory XIII. Events January * January 3 – Theodoros Pangalos declares himself dictator in Greece. * January 8 **Ibn Saud is crowned ruler of the Kingdom of Hejaz. ** Crown Prince Nguyễn Phúc Vĩnh Thuy ascends the throne as Bảo Đại, the last monarch of the Nguyễn dynasty of the Kingdom of Vietnam. * January 16 – A British Broadcasting Company radio play by Ronald Knox about workers' revolution in London causes a panic among those who have not heard the preliminary announcement that it is a satire on broadcasting. * January 21 ... [...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 became the first president while Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance over 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 influentia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Surveys And Monographs
''Mathematical Surveys and Monographs'' is a series of monographs published by the American Mathematical Society. Each volume in the series gives a survey of the subject along with a brief introduction to recent developments and unsolved problems. The series has been known as ''Mathematical Surveys and Monographs'' since 1984. Its ISSN An International Standard Serial Number (ISSN) is an eight-digit to uniquely identify a periodical publication (periodical), such as a magazine. The ISSN is especially helpful in distinguishing between serials with the same title. ISSNs a ... is 0885–4653. The series was founded in 1943 as 'Mathematical Surveys'. External links External links Mathematical Surveys and Monographs Publications of the American Mathematical Society Publications established in 1943 Monographic series Series of mathematics books {{mathematics-lit-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Saunders (imprint)
Saunders is an American academic publisher based in the United States. It is currently an imprint of Elsevier. Formerly independent, the W. B. Saunders company was acquired by CBS in 1968, who added it to their publishing division Holt, Rinehart & Winston. When CBS left the publishing field in 1986, it sold the academic publishing units to Harcourt Brace Jovanovich. Harcourt was acquired by Reed Elsevier in 2001. . Northern Illinois University Libraries. Retrieved May 2, 2015. W. B. Saunders published the Kinsey Reports
[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elsevier
Elsevier ( ) is a Dutch academic publishing company specializing in scientific, technical, and medical content. Its products include journals such as ''The Lancet'', ''Cell (journal), Cell'', the ScienceDirect collection of electronic journals, ''Trends (journals), Trends'', the ''Current Opinion (Elsevier), Current Opinion'' series, the online citation database Scopus, the SciVal tool for measuring research performance, the ClinicalKey search engine for clinicians, and the ClinicalPath evidence-based cancer care service. Elsevier's products and services include digital tools for Data management platform, data management, instruction, research analytics, and assessment. Elsevier is part of the RELX Group, known until 2015 as Reed Elsevier, a publicly traded company. According to RELX reports, in 2022 Elsevier published more than 600,000 articles annually in over 2,800 journals. As of 2018, its archives contained over 17 million documents and 40,000 Ebook, e-books, with over one b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arthur Rubin
Arthur Leonard Rubin (born 1956) is an American mathematician and aerospace engineer. He was named a Putnam Fellow on four consecutive occasions from 1970 to 1973. Life and career Rubin's mother was Jean E. Rubin, a professor of mathematics at Purdue University Purdue University is a Public university#United States, public Land-grant university, land-grant research university in West Lafayette, Indiana, United States, and the flagship campus of the Purdue University system. The university was founded ..., and his father was Herman Rubin, a professor of statistics at the same university. Arthur co-authored his first paper with his mother in 1969 at the age of 13. He earned his Ph.D. at the California Institute of Technology in 1978, under the direction of Alexander S. Kechris. Rubin unsuccessfully stood as a Libertarian to represent the 55th district in the 1984 California State Assembly elections. Awards and honors As an undergraduate, Rubin was named a Putnam F ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
