Screen LibraryA primer of Lebesgue integration /
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...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Academic Press,
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| Publisher Address: | San Diego : |
| Publication Dates: | 2002. |
| Literature type: | eBook |
| Language: | English |
| Edition: | Second edition. |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/book/9780120839711 |
| Summary: |
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. |
| Item Description: | Includes index. |
| Carrier Form: | 1 online resource (xi, 164 pages) : illustrations |
| ISBN: |
9780120839711 0120839717 9780080525730 0080525733 |
| Index Number: | QA312 |
| CLC: | O172.2 |
| 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. |