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:
“Friends, both the imaginary ones you build for yourself out of phrases taken from a living writer, or real ones from college, and relatives, despite all the waste of ceremony and fakery and the fact that out of an hour of conversation you may have only five minutes in which the old entente reappears, are the only real means for foreign ideas to enter your brain.”
—Nicholson Baker (b. 1957)
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—Thomas Mann (1875–1955)