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A Primer of Lebesgue Integration / Edition 2

A Primer of Lebesgue Integration / Edition 2

by H. S. Bear
A Primer of Lebesgue Integration / Edition 2
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ISBN-10:
0120839717
ISBN-13:
9780120839711
Pub. Date:
09/17/2001
Publisher:
Elsevier Science
ISBN-10:
0120839717
ISBN-13:
9780120839711
Pub. Date:
09/17/2001
Publisher:
Elsevier Science
A Primer of Lebesgue Integration / Edition 2

A Primer of Lebesgue Integration / Edition 2

by H. S. Bear

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: 09/17/2001
Edition description: REV
Pages: 164
Product dimensions: 6.00(w) x 9.00(h) x (d)

About the Author

H.S. Bear is a professor at the University of Hawaii, Manoa and a member of both the American Mathematical Society and the Mathematical Association of America.

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
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Science & Technology
Mathematics
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Science & Technology
Mathematics
Mathematical Analysis
Mathematical Analysis - General & Miscellaneous

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