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 limits 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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Famous quotes containing the words real and/or analysis:
“The real exertion in the case of an opera singer lies not so much in her singing as in her acting of a role, for nearly every modern opera makes great dramatic and physical demands.”
—Maria Jeritza (1887–1982)
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