Norman Levinson
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Norman Levinson (August 11, 1912 in
Lynn, Massachusetts Lynn is the eighth-largest municipality in Massachusetts and the largest city in Essex County. Situated on the Atlantic Ocean, north of the Boston city line at Suffolk Downs, Lynn is part of Greater Boston's urban inner core. Settled by E ...
– October 10, 1975 in
Boston Boston (), officially the City of Boston, is the state capital and most populous city of the Commonwealth of Massachusetts, as well as the cultural and financial center of the New England region of the United States. It is the 24th- mo ...
) was an American
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
. Some of his major contributions were in the study of Fourier transforms, complex analysis, non-linear differential equations,
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 integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mat ...
, and
signal processing Signal processing is an electrical engineering subfield that focuses on analyzing, modifying and synthesizing ''signals'', such as sound, images, and scientific measurements. Signal processing techniques are used to optimize transmissions, ...
. He worked closely with Norbert Wiener in his early career. He joined the faculty of the
Massachusetts Institute of Technology 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 ...
in 1937. In 1954, he was awarded the
Bôcher Memorial Prize The Bôcher Memorial Prize was founded by the American Mathematical Society in 1923 in memory of Maxime Bôcher with an initial endowment of $1,450 (contributed by members of that society). It is awarded every three years (formerly every five year ...
of the
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, ...
and in 1971 the Chauvenet Prize (after winning in 1970 the Lester R. Ford Award) of the Mathematical Association of America for his paper ''A Motivated Account of an Elementary Proof of the Prime Number Theorem''. In 1974 he published a paper proving that more than a third of the zeros of the Riemann zeta function lie on the critical line, a result later improved to two fifths by Conrey. He received both his
bachelor's degree A bachelor's degree (from Middle Latin ''baccalaureus'') or baccalaureate (from Modern Latin ''baccalaureatus'') is an undergraduate academic degree awarded by colleges and universities upon completion of a course of study lasting three to six ...
and his
master's degree A master's degree (from Latin ) is an academic degree awarded by universities or colleges upon completion of a course of study demonstrating mastery or a high-order overview of a specific field of study or area of professional practice.
in electrical engineering from
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 ...
in 1934, where he had studied under Norbert Wiener and took almost all of the graduate-level courses in mathematics. He received the MIT
Redfield Proctor Redfield Proctor (June 1, 1831March 4, 1908) was a U.S. politician of the Republican Party. He served as the 37th governor of Vermont from 1878 to 1880, as Secretary of War from 1889 to 1891, and as a United States Senator for Vermont from 189 ...
Traveling Fellowship to study at the
University of Cambridge The University of Cambridge is a public collegiate research university in Cambridge, England. Founded in 1209 and granted a royal charter by Henry III in 1231, Cambridge is the world's third oldest surviving university and one of its most pr ...
, with the assurance that MIT would reward him with a PhD upon his return regardless of whatever he produced at Cambridge. Within the first four months in Cambridge, he had already produced two papers. In 1935, MIT awarded him with the PhD in mathematics. His death in 1975 was caused by a
brain tumor A brain tumor occurs when abnormal cells form within the brain. There are two main types of tumors: malignant tumors and benign (non-cancerous) tumors. These can be further classified as primary tumors, which start within the brain, and seconda ...
. He was married since 1938; his widow Zipporah died at age 93 in 2009, survived by two daughters and four grandchildren. Norman Levinson's doctoral students include Raymond Redheffer and Harold Shapiro.


See also

*
Levinson recursion Levinson recursion or Levinson–Durbin recursion is a procedure in linear algebra to recursively calculate the solution to an equation involving a Toeplitz matrix. The algorithm runs in time, which is a strong improvement over Gauss–Jordan eli ...
* Levinson's inequality * Levinson's theorem


Publications

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References


External links

* {{DEFAULTSORT:Levinson, Norman 1912 births 1975 deaths 20th-century American mathematicians Institute for Advanced Study visiting scholars Jewish scientists MIT School of Engineering alumni Massachusetts Institute of Technology faculty People from Lynn, Massachusetts Mathematicians from Massachusetts Number theorists Mathematical analysts Deaths from brain tumor