Measure and Integral An Introduction to Real Analysis

ISBN-10: 0824764994

ISBN-13: 9780824764999

Edition: 1977

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.
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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: 1.188

.. . 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
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