Measure and Integral An Introduction to Real Analysis

Name: Measure and Integral An Introduction to Real Analysis
Price: 26.33 USD
Availability: InStock
ISBN: 9780824764999

ISBN-10: 0824764994

ISBN-13: 9780824764999

Edition: 1977

Authors: Richard Wheeden, Antoni Zygmund

List price: $94.95

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Description:

This volume develops the classical theory of the Lebesgue integral and some of its applications. Following a thorough study of the concepts of outer measure and measure, the author initially presents the integral in the context of n-dimensional Euclidean space. A more general treatment of the integral, based on an axiomatic approach, is given later. The book examines 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. Several applications of the theory to a specific branch of analysis-harmonic analysis-are also provided.

Book details

List price: $94.95
Copyright year: 1977
Publisher: CRC Press LLC
Publication date: 11/1/1977
Binding: Hardcover
Pages: 288
Size: 6.50" wide x 9.50" long x 0.50" tall
Weight: 1.342
Language: English



.. . Preliminaries Points and Sets in Rn


Rn as a Metric Space Open and Closed Sets in Rn: Special Sets Compact Sets


The Heine-Borel Theorem Functions Continuous Functions and Transformations


The Riemann Integral Exercises Function of Bounded Variation


The Riemann-Stieltjes Integral Functions of Bounded Variation Rectifiable Curves


The Reiman-Stieltjes Integral Further Results About the Reimann-Stieltjes


Integrals Exercises Lebesgue Measure and Outer Measure Lebesgue Outer Measures