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| A PRIMER OF LEBESGUE INTEGRATION
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To order this title, and for more information, click here
Second Edition
By
H. Bear, University of Hawaii at Manoa, Honolulu, U.S.A.
Description
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.
Audience
Advanced undergraduate and beginning graduate students in mathematics.
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 and General Measures; Integration for General Measures; More Integration:
The Radon-Nikodym Theorem; Product Measures; The Space L2; Index
| Bibliographic details |
Hardbound, 164 pages, publication date: SEP-2001
ISBN-13: 978-0-12-083971-1
ISBN-10: 0-12-083971-7
Imprint: ACADEMIC PRESS
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| Price and Ordering |
Price:
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USD 72.95
GBP 45
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050/774
Last update: 30 Nov 2009
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