| 000 | 02733nam a22005055i 4500 | ||
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| 001 | 978-3-031-02401-6 | ||
| 003 | DE-He213 | ||
| 005 | 20240730163919.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 220601s2011 sz | s |||| 0|eng d | ||
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_a9783031024016 _9978-3-031-02401-6 |
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_a10.1007/978-3-031-02401-6 _2doi |
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| 100 | 1 |
_aKrantz, Steven G. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _981194 |
|
| 245 | 1 | 4 |
_aThe Integral _h[electronic resource] : _bA Crux for Analysis / _cby Steven G. Krantz. |
| 250 | _a1st ed. 2011. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2011. |
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| 300 |
_aXII, 93 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
|
| 505 | 0 | _aIntroduction -- The Riemann Integral -- The Lebesgue Integral -- Comparison of the Riemann and Lebesgue Integrals -- Other Theories of the Integral. | |
| 520 | _aThis book treats all of the most commonly used theories of the integral. After motivating the idea of integral, we devote a full chapter to the Riemann integral and the next to the Lebesgue integral. Another chapter compares and contrasts the two theories. The concluding chapter offers brief introductions to the Henstock integral, the Daniell integral, the Stieltjes integral, and other commonly used integrals. The purpose of this book is to provide a quick but accurate (and detailed) introduction to all aspects of modern integration theory. It should be accessible to any student who has had calculus and some exposure to upper division mathematics. Table of Contents: Introduction / The Riemann Integral / The Lebesgue Integral / Comparison of the Riemann and Lebesgue Integrals / Other Theories of the Integral. | ||
| 650 | 0 |
_aMathematics. _911584 |
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_aStatistics . _931616 |
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_aEngineering mathematics. _93254 |
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_aMathematics. _911584 |
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_aStatistics. _914134 |
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_aEngineering Mathematics. _93254 |
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_aSpringerLink (Online service) _981195 |
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| 773 | 0 | _tSpringer Nature eBook | |
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_iPrinted edition: _z9783031012730 |
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_iPrinted edition: _z9783031035296 |
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_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 _981196 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-02401-6 |
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