David Bressoud
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David Bressoud
David Marius Bressoud (born March 27, 1950 in Bethlehem, Pennsylvania) is an American mathematician who works in number theory, combinatorics, and special functions. As of 2019 he is DeWitt Wallace Professor of Mathematics at Macalester College, Director of the Conference Board of the Mathematical Sciences and a former President of the Mathematical Association of America. Life and education Bressoud was born March 27, 1950 in Bethlehem, Pennsylvania. He became interested in mathematics in the seventh grade, where he had a teacher who encouraged him and gave him challenging problems. He attended Albert Wilansky's National Science Foundation summer program at Lehigh University between his junior and senior years in high school, where he also spent most of his time working on problems. He graduated from Swarthmore College in 1971. When he started at Swarthmore he had not yet decided on a major, but after his first year he decided to get out of college as quickly as possibly and ...
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Bethlehem, Pennsylvania
Bethlehem is a city in Northampton and Lehigh Counties in the Lehigh Valley region of eastern Pennsylvania, United States. As of the 2020 census, Bethlehem had a total population of 75,781. Of this, 55,639 were in Northampton County and 19,343 were in Lehigh County. It is Pennsylvania's seventh most populous city. The city is located along the Lehigh River, a tributary of the Delaware River. Bethlehem lies in the center of the Lehigh Valley, a metropolitan region of with a population of 861,899 people as of the 2020 census that is Pennsylvania's third most populous metropolitan area and the 68th most populated metropolitan area in the U.S. Smaller than Allentown but larger than Easton, Bethlehem is the Lehigh Valley's second most populous city. Bethlehem borders Allentown to its west and is north of Philadelphia and west of New York City. There are four sections to the city: central Bethlehem, the south side, the east side, and the west side. Each of these secti ...
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Peace Corps
The Peace Corps is an independent agency and program of the United States government that trains and deploys volunteers to provide international development assistance. It was established in March 1961 by an executive order of President John F. Kennedy Executive Order 10924 and authorized by Congress the following September by the Peace Corps Act. Kennedy first publicly proposed the Peace Corps during his 1960 presidential campaign as a means to improve America's global image and leadership in the Cold War; he cited the Soviet Union's deployment of skilled citizens "abroad in the service of world communism" and argued the U.S. must do the same to advance values such as democracy and liberty. The Peace Corps was formally established within three months of Kennedy's presidency, garnering both bipartisan congressional support and popular support, particularly among recent university graduates. The official goal of the Peace Corps is to assist developing countries by providing skil ...
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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 ...
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Macalester College Faculty
Macalester College () is a private liberal arts college in Saint Paul, Minnesota. Founded in 1874, Macalester is exclusively an undergraduate four-year institution and enrolled 2,174 students in the fall of 2018 from 50 U.S. states, four U.S territories, the District of Columbia and 97 countries. The college has Scottish roots and emphasizes internationalism and multiculturalism. History Macalester College was founded by Rev. Dr. Edward Duffield Neill in 1874 with help from the Presbyterian Church in Minnesota. Neill had served as a chaplain in the Civil War and traveled to Minnesota Territory in 1849. He became connected politically and socially. He went on to found two local churches, was appointed the first Chancellor of the University of Minnesota, and became the state's first superintendent of public education. In leaving the University of Minnesota Board of Regents he desired to build a religious college affiliated with the Presbyterian Church that would also be open to ot ...
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Number Theorists
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes or other number-theoretic objects in ...
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21st-century American Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman empero ...
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Zeilberger–Bressoud Theorem
In mathematics, the Dyson conjecture is a conjecture about the constant term of certain Laurent polynomials, proved independently in 1962 by Wilson and Gunson. Andrews generalized it to the q-Dyson conjecture, proved by Zeilberger and Bressoud and sometimes called the Zeilberger–Bressoud theorem. Macdonald generalized it further to more general root systems with the Macdonald constant term conjecture, proved by Cherednik. Dyson conjecture The Dyson conjecture states that the Laurent polynomial :\prod _(1-t_i/t_j)^ has constant term :\frac. The conjecture was first proved independently by and . later found a short proof, by observing that the Laurent polynomials, and therefore their constant terms, satisfy the recursion relations :F(a_1,\dots,a_n) = \sum_^nF(a_1,\dots,a_i-1,\dots,a_n). The case ''n'' = 3 of Dyson's conjecture follows from the Dixon identity. and used a computer to find expressions for non-constant coefficients of Dyson's Laurent polynom ...
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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 ...
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George Pólya
George Pólya (; hu, Pólya György, ; December 13, 1887 – September 7, 1985) was a Hungarian mathematician. He was a professor of mathematics from 1914 to 1940 at ETH Zürich and from 1940 to 1953 at Stanford University. He made fundamental contributions to combinatorics, number theory, numerical analysis and probability theory. He is also noted for his work in heuristics and mathematics education. He has been described as one of The Martians, an informal category which included one of his most famous students at ETH Zurich, John Von Neumann. Life and works Pólya was born in Budapest, Austria-Hungary, to Anna Deutsch and Jakab Pólya, Hungarian Jews who had converted to Christianity in 1886. Although his parents were religious and he was baptized into the Catholic Church upon birth, George eventually grew up to be an agnostic. He was a professor of mathematics from 1914 to 1940 at ETH Zürich in Switzerland and from 1940 to 1953 at Stanford University. He remained a Pr ...
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University Of Strasbourg
The University of Strasbourg (french: Université de Strasbourg, Unistra) is a public research university located in Strasbourg, Alsace, France, with over 52,000 students and 3,300 researchers. The French university traces its history to the earlier German-language ''Universität Straßburg'', which was founded in 1538, and was divided in the 1970s into three separate institutions: Louis Pasteur University, Marc Bloch University, and Robert Schuman University. On 1 January 2009, the fusion of these three universities reconstituted a united University of Strasbourg. With as many as 19 Nobel laureates, and two Fields Medal winners, the university is ranked among the best in the League of European Research Universities. History The university emerged from a Lutheran humanist German Gymnasium, founded in 1538 by Johannes Sturm in the Free Imperial City of Strassburg. It was transformed to a university in 1621 (german: Universität Straßburg) and elevated to the ranks of a royal u ...
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University Of Minnesota
The University of Minnesota, formally the University of Minnesota, Twin Cities, (UMN Twin Cities, the U of M, or Minnesota) is a public university, public Land-grant university, land-grant research university in the Minneapolis–Saint Paul, Twin Cities of Minneapolis and Saint Paul, Minnesota, United States. The Twin Cities campus comprises locations in Minneapolis and Falcon Heights, Minnesota, Falcon Heights, a suburb of St. Paul, approximately apart. The Twin Cities campus is the oldest and largest in the University of Minnesota system and has the List of United States university campuses by enrollment, ninth-largest main campus student body in the United States, with 52,376 students at the start of the 2021–22 academic year. It is the Flagship#Colleges and universities in the United States, flagship institution of the University of Minnesota System, and is organized into 19 colleges, schools, and other major academic units. The Minnesota Territorial Legislature drafted a ...
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