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 real man doesn’t have to run from his mother, and may even have to face the reality that no great deed is going to be great enough for him to ransom himself completely, and he may always be in his mother’s debt. If he understands that . . . he won’t have to feel guilty, and he won’t have to please her completely. He can go ahead and be nice to her and let her be part of his life.”
—Frank Pittman (20th century)
“Cubism had been an analysis of the object and an attempt to put it before us in its totality; both as analysis and as synthesis, it was a criticism of appearance. Surrealism transmuted the object, and suddenly a canvas became an apparition: a new figuration, a real transfiguration.”
—Octavio Paz (b. 1914)