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Essentials of Integration Theory for Analysis
Essentials 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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2011.
|
| Edición: | 1st ed. 2011. |
| Colección: | Graduate Texts in Mathematics,
262 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 100 | 1 | |a Stroock, Daniel W. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Essentials of Integration Theory for Analysis |h [electronic resource] / |c by Daniel W. Stroock. |
| 250 | |a 1st ed. 2011. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2011. | |
| 300 | |a XII, 244 p. |b online resource. | ||
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| 490 | 1 | |a Graduate Texts in Mathematics, |x 2197-5612 ; |v 262 | |
| 520 | |a Essentials 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 | |a Mathematical analysis. | |
| 650 | 0 | |a Functions of real variables. | |
| 650 | 1 | 4 | |a Analysis. |
| 650 | 2 | 4 | |a Real Functions. |
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| 776 | 0 | 8 | |i Printed edition: |z 9781461411345 |
| 776 | 0 | 8 | |i Printed edition: |z 9781461429883 |
| 776 | 0 | 8 | |i Printed edition: |z 9781461411369 |
| 830 | 0 | |a Graduate Texts in Mathematics, |x 2197-5612 ; |v 262 | |
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