| Edition |
2nd ed. |
| Description |
1 online resource (xi, 164 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| 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. |
| 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 ć and General Measures; Integration for General Measures; More Integration: The Radon-Nikodym Theorem; Product Measures; The Space L2; Index. |
| Note |
Includes index. |
|
Print version record. |
| Language |
English. |
| Subject |
Lebesgue integral.
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Intégrale de Lebesgue.
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Lebesgue integral
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| Other Form: |
Print version: Bear, H.S. (Herbert Stanley). Primer of Lebesgue integration. 2nd ed. San Diego : Academic Press, ©2002 0120839717 9780120839711 (DLC) 2001092385 (OCoLC)47901449 |
| ISBN |
9780120839711 |
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0120839717 |
|
9780080525730 (electronic bk.) |
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0080525733 (electronic bk.) |
|
1281024910 |
|
9781281024916 |
|
9786611024918 |
|
6611024913 |
| Standard No. |
AU@ 000048129861 |
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AU@ 000051558526 |
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CDX 6483774 |
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CHBIS 005673073 |
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CHNEW 001005354 |
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CHVBK 16701756X |
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DEBBG BV036962220 |
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DEBBG BV042317239 |
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DEBBG BV043044576 |
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DEBSZ 275108848 |
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DEBSZ 422194735 |
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NZ1 12432603 |
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NZ1 15192821 |
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UKMGB 017551551 |
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AU@ 000062274676 |
|
