| 000 | 02995nam a22004335i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4614-1135-2 | ||
| 003 | DE-He213 | ||
| 005 | 20140220083733.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110725s2011 xxu| s |||| 0|eng d | ||
| 020 |
_a9781461411352 _9978-1-4614-1135-2 |
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| 024 | 7 |
_a10.1007/978-1-4614-1135-2 _2doi |
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| 050 | 4 | _aQA299.6-433 | |
| 072 | 7 |
_aPBK _2bicssc |
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| 072 | 7 |
_aMAT034000 _2bisacsh |
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| 082 | 0 | 4 |
_a515 _223 |
| 100 | 1 |
_aStroock, Daniel W. _eauthor. |
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| 245 | 1 | 0 |
_aEssentials of Integration Theory for Analysis _h[electronic resource] / _cby Daniel W. Stroock. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York, _c2011. |
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| 300 |
_aXII, 244 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 |
_aGraduate Texts in Mathematics, _x0072-5285 ; _v262 |
|
| 520 | _aEssentials of Integration Theory for Analysis is a substantial revision of the best-selling Birkhäuser title by the same author, A Concise Introduction to the Theory of Integration. Highlights of this new textbook for the GTM series include revisions to Chapter 1 which add a section about the rate of convergence of Riemann sums and introduces a discussion of the Euler–MacLauren formula. In Chapter 2, where Lebesque’s theory is introduced, a construction of the countably additive measure is done with sufficient generality to cover both Lebesque and Bernoulli measures. Chapter 3 includes a proof of Lebesque’s differential theorem for all monotone functions and the concluding chapter has been expanded to include a proof of Carathéory’s method for constructing measures and his result is applied to the construction of the Hausdorff measures. This new gem is appropriate as a text for a one-semester graduate course in integration theory and is complimented by the addition of several problems related to the new material. The text is also highly useful for self-study. A complete solutions manual is available for instructors who adopt the text for their courses. Additional publications by Daniel W. Stroock: An Introduction to Markov Processes, ©2005 Springer (GTM 230), ISBN: 978-3-540-23499-9; A Concise Introduction to the Theory of Integration, © 1998 Birkhäuser Boston, ISBN: 978-0-8176-4073-6; (with S.R.S. Varadhan) Multidimensional Diffusion Processes, © 1979 Springer (Classics in Mathematics), ISBN: 978-3-540-28998-2. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aGlobal analysis (Mathematics). | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aAnalysis. |
| 650 | 2 | 4 | _aReal Functions. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781461411345 |
| 830 | 0 |
_aGraduate Texts in Mathematics, _x0072-5285 ; _v262 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4614-1135-2 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c106282 _d106282 |
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