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:
“We must have a real living determination to reach holiness. “I will be a saint” means I will despoil myself of all that is not God; I will strip my heart of all created things; I will live in poverty and detachment; I will renounce my will, my inclinations, my whims and fancies, and make myself a willing slave to the will of God.”
—Mother Teresa (b. 1910)
“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)