Real analysis is a branch of mathematical analysis dealing with the set of real numbers. 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.
Reference:
http://en.wikipedia.org/wiki/Real_function
Reference:
http://en.wikipedia.org/wiki/Real_function
