A primer of Lebesgue integration
著者
書誌事項
A primer of Lebesgue integration
Academic Press, c2002
2nd. ed.
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注記
Includes index
内容説明・目次
内容説明
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.
目次
- 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
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