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A Primer of Lebesgue Integration / Edition 1
     

A Primer of Lebesgue Integration / Edition 1

by Herbert S. Bear
 

ISBN-10: 0120839709

ISBN-13: 9780120839704

Pub. Date: 01/28/1995

Publisher: Elsevier Science & Technology Books

The Lebesgue integral is the standard tool for mathematics, physics, and engineering. It is used where sequences or series arise and where one might wish to express the integral of a sum as a sum of integrals or vice versa. It is essential in Fourier analysis and for the construction of Hilbert space. This primer gives a concrete treatment, building Lebesgue theory in

Overview

The Lebesgue integral is the standard tool for mathematics, physics, and engineering. It is used where sequences or series arise and where one might wish to express the integral of a sum as a sum of integrals or vice versa. It is essential in Fourier analysis and for the construction of Hilbert space. This primer gives a concrete treatment, building Lebesgue theory in a way parallel to the Riemann integral of beginning calculus. It makes the powerful tools of Lebesgue theory readily available to those in applied areas. It is a good introduction for those going on in mathematics and a refresher with new insights for those in the field. H.S. Bear gives a clear and engaging account of this important and previously forbidding piece of mathematics, providing readers with a key to many areas of analysis.

Product Details

ISBN-13:
9780120839704
Publisher:
Elsevier Science & Technology Books
Publication date:
01/28/1995
Edition description:
Older Edition
Pages:
163
Product dimensions:
6.30(w) x 9.34(h) x 0.67(d)

Table of Contents

The Riemann-Darboux Integral. The Riemann Integral as a Limit of Sums. Lebesgue Measure on (0,1). Measurable Sets--The Caratheodory Characterization. The Lebesgue Integral for Bounded Functions. Properties of the Integral. TheIntegral of Unbounded Functions. Differentiation and Integration. Plane Measure. The Relationship between ( and (. General Measures. Integration for General Measures. More Integration; the Radon-Nikodym Theorem. Product Measures. The Space L2. Index.

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