William Mann (mathematician)
Encyclopedia
William Robert Mann was a mathematician from Chapel Hill
, North Carolina
. Mann worked in mathematical analysis
. He was the discoverer and eponym of the Mann iteration, a dynamical system
in a continuous function
. He was one of Frantisek Wolf
's students.
Chapel Hill
Chapel Hill may refer to:*Chapel Hill, North Carolina, a town in the United States, or**the University of North Carolina at Chapel Hill, a major university within the town*Chapel Hill, Alabama...
, North Carolina
North Carolina
North Carolina is a state located in the southeastern United States. The state borders South Carolina and Georgia to the south, Tennessee to the west and Virginia to the north. North Carolina contains 100 counties. Its capital is Raleigh, and its largest city is Charlotte...
. Mann worked in mathematical analysis
Mathematical analysis
Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions...
. He was the discoverer and eponym of the Mann iteration, a dynamical system
Dynamical system
A dynamical system is a concept in mathematics where a fixed rule describes the time dependence of a point in a geometrical space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each springtime in a...
in a continuous function
Continuous function
In mathematics, a continuous function is a function for which, intuitively, "small" changes in the input result in "small" changes in the output. Otherwise, a function is said to be "discontinuous". A continuous function with a continuous inverse function is called "bicontinuous".Continuity of...
. He was one of Frantisek Wolf
Frantisek Wolf
František Wolf was a Czech mathematician known for his contributions to trigonometry and mathematical analysis, specifically the study of the perturbation of linear operators....
'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 TaylorAngus Ellis TaylorAngus Ellis Taylor was a mathematician and professor at various universities in the University of California system. He earned his undergraduate degree at Harvard summa cum laude in 1933 and his PhD at Caltech in 1936 under Aristotle Michal with a dissertation on analytic functions...
, Advanced Calculus, 3rd Edition, John Wiley and Sons, 1983