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Real analysis
Real analysis
(traditionally, the
theory of functions of a real variable
) is a branch of
mathematical analysis
dealing with the
real numbers
and real-valued functions of a real variable. In particular, it deals with the
analytic
properties of real
functions
and
sequences
, including
convergence
and
limit
s of
sequences
of real numbers, the
calculus
of the real numbers, and
continuity
,
smoothness
and related properties of real-valued functions.
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