A Primer of Lebesgue Integration / Edition 2

A Primer of Lebesgue Integration / Edition 2

by H. S. Bear
     
 

ISBN-10: 0120839717

ISBN-13: 9780120839711

Pub. Date: 09/01/2001

Publisher: Elsevier Science

The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study.

Bear presents a clear

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Overview

The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study.

Bear presents a clear and simple introduction for those intent on further study in higher mathematics. Additionally, this book serves as a refresher providing new insight for those in the field. The author writes with an engaging, commonsense style that appeals to readers at all levels.

Product Details

ISBN-13:
9780120839711
Publisher:
Elsevier Science
Publication date:
09/01/2001
Edition description:
REV
Pages:
164
Product dimensions:
0.56(w) x 6.00(h) x 9.00(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; The Integral of Unbounded Functions; Differentiation and Integration; Plane Measure; The Relationship between µ and General Measures; Integration for General Measures; More Integration: The Radon-Nikodym Theorem; Product Measures; The Space L2; Index

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