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:
“A decent chap, a real good sort,
Straight as a die, one of the best,
A brick, a trump, a proper sport,
Head and shoulders above the rest;
How many lives would have been duller
Had he not been here below?
Here’s to the whitest man I know
Though white is not my favourite colour.”
—Philip Larkin (1922–1986)
“Ask anyone committed to Marxist analysis how many angels on the head of a pin, and you will be asked in return to never mind the angels, tell me who controls the production of pins.”
—Joan Didion (b. 1934)