A Primer of Lebesgue Integration

H. S. Bear

ISBN 10: 0120839709 / ISBN 13: 9780120839704

Published by Academic Press, 1995

About this Item

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Seller Inventory # 69486

Bibliographic Details

• Title: A Primer of Lebesgue Integration
• Publisher: Academic Press
• Publication Date: 1995
• Language: English
• ISBN 10: 0120839709
• ISBN 13: 9780120839704
• Binding: Hardcover
• Condition: Used: Very Good
• Seller catalogs:
  • Mathematics

About this title

Synopsis

The Lebesgue integral is the standard tool for mathematics, physics, or engineering. It is used where sequences or series arise and where one might wish to express the integral of a sum of integrals or vice versa. Itis essential in Fourier analysis and for the construction of Hilbert space and other function spaces. This primer gives a concrete treatment, building Lebesgue theory in a way parallel to the Riemann integral of beginning calculus. It makes the powerfultools of Lebesgue theory readily available to those in applied areas. It is a good introduction for those going on in mathematics as well as a refresher holding new insights for those in the field.
Professor Bear gives a clear and engaging account of this important and previously forbidding piece of mathematics, providing readers with a key to many areas of analysis.

*
* The Riemann-Darboux Integral
* The Riemann Integral as a Limit of Sums
* Lebesgue Measure on (0.1)
* Measurable-Sets - The Caratheodory Characterization

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.