Measure and Integral: An Introduction to Real Analysis (Chapman & Hall/CRC Pure and Applied Mathematics), Hardcover, 1 Edition by Wheeden, Richard (Used)

Hardcover: 1 Edition
Used: Very Good
9780824764999
0824764994

Publication Date: 1977-11-01
Publisher: CRC Press
Hardcover : 288 pages
Edition: 1 Edition
Author: Wheeden, Richard
ISBN-10: 0824764994
ISBN-13: 9780824764999

Product Description This volume develops the classical theory of the Lebesgue integral and some of its applications. The integral is initially presented in the context of n-dimensional Euclidean space, following a thorough study of the concepts of outer measure and measure. A more general treatment of the integral, based on an axiomatic approach, is later given. Closely related topics in real variables, such as functions of bounded variation, the Riemann-Stieltjes integral, Fubini's theorem, L(p)) classes, and various results about differentiation are examined in detail. Several applications of the theory to a specific branch of analysis--harmonic analysis--are also provided. Among these applications are basic facts about convolution operators and Fourier series, including results for the conjugate function and the Hardy-Littlewood maximal function. Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis for student interested in mathematics, statistics, or probability. Requiring only a basic familiarity with advanced calculus, this volume is an excellent textbook for advanced undergraduate or first-year graduate student in these areas. Review . . .well written and authoritative. ---Choice The style is characterized by its clarity and concreteness. . . . this work constitutes an excellent introductory textbook for those who wish to get acquainted with the modern methods of real variables. ---Mathematical Reviews