Nigel J. Cutland is Professor of Mathematics at the
University of York.
His main fields of interest are
non-standard analysis
The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard way to resolve these debates is to define the operations of calculus using epsilon–delta ...
,
Loeb space In mathematics, a Loeb space is a type of measure space introduced by using nonstandard analysis.
Construction
Loeb's construction starts with a finitely additive map \nu from an internal algebra \mathcal A of sets to the nonstandard reals. Def ...
s, and applications in
probability
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speakin ...
and
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 ...
.
He was Editor-in-Chief of ''
Logic and Analysis
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premises ...
'' and ''
Journal of Logic and Analysis
The Association for Symbolic Logic (ASL) is an international organization of specialists in mathematical logic and philosophical logic. The ASL was founded in 1936, and its first president was Alonzo Church. The current president of the ASL is ...
''.
Books
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See also
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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
20th-century British mathematicians
21st-century British mathematicians
Living people
Year of birth missing (living people)
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