A Primer Of Lebesgue Integration by H. S. Bear

A Primer Of Lebesgue Integration

byH. S. BearEditorH. S. Bear

Hardcover | September 17, 2001

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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.

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.

Details & Specs

Title:A Primer Of Lebesgue IntegrationFormat:HardcoverDimensions:164 pages, 9 × 6 × 0.98 inPublished:September 17, 2001Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0120839717

ISBN - 13:9780120839711

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Extra Content

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

Editorial Reviews

"This well-written little book provides ... an introduction to the Lebesgue integral. The book is written very clearly and suggestively and can be recommended to students." Zentralblatt for Mathematik