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Keith D. Stroyan is Professor of Mathematics at the
University of Iowa The University of Iowa (UI, U of I, UIowa, or simply Iowa) is a public research university in Iowa City, Iowa, United States. Founded in 1847, it is the oldest and largest university in the state. The University of Iowa is organized into 12 col ...
. His main research interests are in
analysis Analysis ( : analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (3 ...
and visual depth perception.


Publications

*Stroyan, K. D.; Luxemburg, W. A. J. ''Introduction to the theory of infinitesimals''. Pure and Applied Mathematics, No. 72. Academic Press arcourt Brace Jovanovich, Publishers New York-London, 1976. ::Reviewer Frank Wattenberg for Math Reviews wrote that "mathematicians whose principal interest is in
functional analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined o ...
, complex analysis, or
topology In mathematics, topology (from the Greek words , and ) is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing ...
will find here some very valuable contributions to our understanding of these subjects
here
:The book was cited over 365 times at
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in 2011. *Stroyan, K. D.; Bayod, José Manuel: Foundations of infinitesimal
stochastic analysis Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals of stochastic processes with respect to stochastic processes. This field was created an ...
. Studies in Logic and the Foundations of Mathematics, 119. North-Holland Publishing Co., Amsterdam, 1986. ::Reviewer Tom L. Lindström for Math Reviews wrote that "the authors have written a very comprehensive and readable monograph which will be a great help to experts and beginners alike
here
*Stroyan, K. D. Uniform continuity and rates of growth of meromorphic functions. Contributions to non-standard analysis (Sympos., Oberwolfach, 1970), pp. 47–64. Studies in Logic and Foundations of Math., Vol. 69, North-Holland, Amsterdam, 1972.


See also

*
Influence of non-standard analysis Abraham Robinson's theory of nonstandard analysis has been applied in a number of fields. Probability theory "Radically elementary probability theory" of Edward Nelson combines the discrete and the continuous theory through the infinitesimal appro ...


References


Web page at the University of Iowa
{{DEFAULTSORT:Stroyan, Keith Living people 20th-century American mathematicians 21st-century American mathematicians Mathematical logicians Year of birth missing (living people)