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:
“With steady eye on the real issue, let us reinaugurate the good old “central ideas” of the Republic. We can do it. The human heart is with us—God is with us. We shall again be able not to declare, that “all States as States, are equal,” nor yet that “all citizens as citizens are equal,” but to renew the broader, better declaration, including both these and much more, that “all men are created equal.””
—Abraham Lincoln (1809–1865)
“The spider-mind acquires a faculty of memory, and, with it, a singular skill of analysis and synthesis, taking apart and putting together in different relations the meshes of its trap. Man had in the beginning no power of analysis or synthesis approaching that of the spider, or even of the honey-bee; but he had acute sensibility to the higher forces.”
—Henry Brooks Adams (1838–1918)