William Mann (mathematician)
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William Robert Mann (September 21, 1920 – January 20, 2006) was a mathematician from
Chapel Hill Chapel Hill or Chapelhill may refer to: Places Antarctica * Chapel Hill (Antarctica) Australia *Chapel Hill, Queensland, a suburb of Brisbane *Chapel Hill, South Australia, in the Mount Barker council area Canada * Chapel Hill, Ottawa, a neighbo ...
,
North Carolina North Carolina () is a state in the Southeastern region of the United States. The state is the 28th largest and 9th-most populous of the United States. It is bordered by Virginia to the north, the Atlantic Ocean to the east, Georgia and So ...
. Mann worked in
mathematical analysis Analysis is the branch of mathematics dealing with continuous functions, limit (mathematics), limits, and related theories, such as Derivative, differentiation, Integral, integration, measure (mathematics), measure, infinite sequences, series (m ...
. He was the discoverer and eponym of the Mann iteration, a
dynamical system In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space. Examples include the mathematical models that describe the swinging of a ...
in a
continuous function In mathematics, a continuous function is a function such that a continuous variation (that is a change without jump) of the argument induces a continuous variation of the value of the function. This means that there are no abrupt changes in value ...
. He was one of Frantisek Wolf's students.


Publications

*William Robert Mann, Mean value methods in iteration, Proc. Amer. Math. Soc. 4, 1953, 506–510 *William Robert Mann and Angus Ellis Taylor, Advanced Calculus, 3rd Edition, John Wiley and Sons, 1983


References

*


External links

*''Chapel Hill Memories''

{{DEFAULTSORT:Mann, William 1920 births 2006 deaths 20th-century American mathematicians 21st-century American mathematicians Mathematical analysts