Theory of Functions of a Real Variable, Vol. 1
Brand: Frederick Ungar
Categories: Books, Science & Math, Mathematics

Contents: Infinite Sets; Point Sets; Measurable Sets; Measurable Functions; The Lebesgue Integral of a Bounded Function; Summable Functions; Square-Summable Functions; Functions of Finite Variation - The Stieltjes Integral; Absolutely Continuous Functions - The Indefinite Lebesgue Integral; Index. 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.


Language: English
ISBN-10: 0804447039
Publisher: Frederick Ungar
Print length: 277 pages
Publication date: June 1, 1961
ISBN-13: 978-0804447034
Edition: Revised
subtitle: Revised Edition
author: I. P. Natanson