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 dignity to be sought in death is the appreciation by others of what one has been in life,... that proceeds from a life well lived and from the acceptance of one’s own death as a necessary process of nature.... It is also the recognition that the real event taking place at the end of our life is our death, not the attempts to prevent it.”
—Sherwin B. Nuland (b. 1930)
“A commodity appears at first sight an extremely obvious, trivial thing. But its analysis brings out that it is a very strange thing, abounding in metaphysical subtleties and theological niceties.”
—Karl Marx (1818–1883)