Donald J. Newman
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Donald Joseph (D. J.) Newman (July 27, 1930 – March 28, 2007) was an American mathematician. He gave simple proofs of the prime number theorem and the Hardy-Ramanujan partition formula. He excelled on multiple occasions at the annual
Putnam competition The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regar ...
while studying at
City College of New York The City College of the City University of New York (also known as the City College of New York, or simply City College or CCNY) is a public university within the City University of New York (CUNY) system in New York City. Founded in 1847, Cit ...
and
New York University New York University (NYU) is a private research university in New York City. Chartered in 1831 by the New York State Legislature, NYU was founded by a group of New Yorkers led by then-Secretary of the Treasury Albert Gallatin. In 1832, the ...
, and later received his PhD from
Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher le ...
in 1953.


Life and works

Newman was born in
Brooklyn, New York Brooklyn () is a borough of New York City, coextensive with Kings County, in the U.S. state of New York. Kings County is the most populous county in the State of New York, and the second-most densely populated county in the United States, be ...
in 1930, and studied at New York's
Stuyvesant High School Stuyvesant High School (pronounced ), commonly referred to among its students as Stuy (pronounced ), is a State school, public university-preparatory school, college-preparatory, Specialized high schools in New York City, specialized high school ...
. When he was 14 he worked with Dubble Bubble Gum to help solve the statistical question of how often a gum purchaser would receive the same joke for their gum wrapper. He was an avid problem-solver, and as an undergraduate was a
Putnam Fellow The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regar ...
all three years he took part in the Putnam math competition; only the third person to attain that feat. His mathematical specialties included
complex analysis Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathemati ...
,
approximation theory In mathematics, approximation theory is concerned with how function (mathematics), functions can best be approximation, approximated with simpler functions, and with quantitative property, quantitatively characterization (mathematics), characteri ...
and
number theory 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 arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777 ...
. In 1980 he found a short proof of the
prime number theorem In mathematics, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers. It formalizes the intuitive idea that primes become less common as they become larger by precisely quantifying ...
, which can now be found in his textbook on ''
Complex analysis Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathemati ...
''. He also gave a simplified proof of the Hardy-Ramanujans partition formula. Newman was a friend and associate of John Nash. His career included posts as a Professor of Mathematics at
MIT The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the m ...
,
Brown University Brown University is a private research university in Providence, Rhode Island. Brown is the seventh-oldest institution of higher education in the United States, founded in 1764 as the College in the English Colony of Rhode Island and Providenc ...
,
Yeshiva University Yeshiva University is a private Orthodox Jewish university with four campuses in New York City."About YU
on the Yeshiva Universit ...
,
Temple University Temple University (Temple or TU) is a public state-related research university in Philadelphia, Pennsylvania. It was founded in 1884 by the Baptist minister Russell Conwell and his congregation Grace Baptist Church of Philadelphia then called Ba ...
and a distinguished chair at
Bar Ilan University Bar-Ilan University (BIU, he, אוניברסיטת בר-אילן, ''Universitat Bar-Ilan'') is a public research university in the Tel Aviv District city of Ramat Gan, Israel. Established in 1955, Bar Ilan is Israel's second-largest academic i ...
in Israel. He held government and industry positions at
Avco Avco Corporation is a subsidiary of Textron which operates Textron Systems Corporation and Lycoming. History The Aviation Corporation was formed on March 2, 1929, to prevent a takeover of CAM-24 airmail service operator Embry-Riddle Compa ...
,
Republic Aviation The Republic Aviation Corporation was an American aircraft manufacturer based in Farmingdale, New York, on Long Island, New York, Long Island. Originally known as the Seversky Aircraft Company, the company was responsible for the design and produc ...
,
Bell Laboratories Nokia Bell Labs, originally named Bell Telephone Laboratories (1925–1984), then AT&T Bell Laboratories (1984–1996) and Bell Labs Innovations (1996–2007), is an American industrial research and scientific development company owned by mult ...
, IBM and the
NSA The National Security Agency (NSA) is a national-level intelligence agency of the United States Department of Defense, under the authority of the Director of National Intelligence (DNI). The NSA is responsible for global monitoring, collecti ...
. Newman's love of problem solving comes through in his writing; his published output as a mathematician includes 150 papers and five books. He taught numerous students over the years, including Robert Feinerman, Jonah Mann, Eli Passow, Louis Raymon, Joseph Bak,
Shmuel Weinberger The mathematician Shmuel Aaron Weinberger (born February 20, 1963) is an American topologist. He completed a PhD in mathematics in 1982 at New York University under the direction of Sylvain Cappell. Weinberger was, from 1994 to 1996, the Thomas A. ...
, and Gerald Weinstein at Yeshiva University, and Bo Gao, Don Kellman, Jonathan Knappenberger, and Yuan Xu at Temple University.


See also

* '' A Beautiful Mind'' (1998) by Sylvia Nasar


Selected publications

* * * --. (1979) ''Approximation with rational functions.'' Providence, RI: Conference Board of the Mathematical Sciences by the American Mathematical Society. . * * --. (1982) ''A problem seminar.'' New York: Springer. . * --. (1998) ''Analytic number theory.'' New York: Springer. (#177 in the
Graduate Texts in Mathematics Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) 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 s ...
series). * (1996) ''Complex Analysis.'' (2004 update w/ Joseph Bak) *with Robert P. Feinerman: (1974) ''Polynomial approximation.'' Baltimore: Williams & Wilkins. .


Papers and monographs

* ''The Hexagon Theorem'' (198

* ''Finite type functions as limits of exponential sums'' (1974, MRC technical summary report) * ''Splines and the logarithmic function'' (1974, MRC) *
Thought Less Mathematics
', an essay on why branching thinking and similar solutions aren't central to mathematics and may even obscure deeper ideas


References


External links

* {{DEFAULTSORT:Newman, Donald 1930 births 20th-century American mathematicians 21st-century American mathematicians Stuyvesant High School alumni Harvard University alumni 2007 deaths Putnam Fellows People from Brooklyn Mathematicians from New York (state)