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:
“All ... forms of consensus about “great” books and “perennial” problems, once stabilized, tend to deteriorate eventually into something philistine. The real life of the mind is always at the frontiers of “what is already known.” Those great books don’t only need custodians and transmitters. To stay alive, they also need adversaries. The most interesting ideas are heresies.”
—Susan Sontag (b. 1933)
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