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 word real:
“That is Lenin. Look at the self-willed, stubborn head. A real Russian peasant’s head with a few faintly Asiatic lines. That man will try to overturn mountains. Perhaps he will be crushed by them. But he will never yield.”
—Rosa Luxemburg (1871–1919)