A primer of Lebesgue integration
Title:
A primer of Lebesgue integration
Author:
Bear, H. S. (Herbert Stanley)
ISBN:
9780120839711
Personal Author:
Edition:
2nd ed.
Publication Information:
San Diego : Academic Press, c2002.
Physical Description:
xi, 164 p. : ill. ; 24 cm.
General Note:
Includes index.
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.
Abstract:
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.
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Electronic Access:
ScienceDirect An electronic book accessible through the World Wide Web; click for informationPublisher description http://www.loc.gov/catdir/description/els031/2001092385.html
Table of contents http://www.loc.gov/catdir/toc/els031/2001092385.html