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.
Read more about Real Analysis: Scope, Key Concepts
Famous quotes containing the words real and/or analysis:
“I am writing for myself and strangers. This is the only
way that I can do it. Everybody is a real one to me,
everybody is like some one else too to me. No one of
them that I know can want to know it and so I write
for myself and strangers.”
—Gertrude Stein (1874–1946)
“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)