| Essentials of Integration Theory for Analysis 2011 Edition Contributor(s): Stroock, Daniel W. (Author) |
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ISBN: 1461429889 ISBN-13: 9781461429883 Publisher: Springer OUR PRICE: $66.49 Product Type: Paperback - Other Formats Published: October 2013 |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Calculus |
| Dewey: 515 |
| Series: Graduate Texts in Mathematics |
| Physical Information: 0.54" H x 6.14" W x 9.21" (0.80 lbs) 244 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 'A Concise Introduction to the Theory of Integration' was once a best-selling Birkh user title which published 3 editions. This manuscript is a substantial revision of the material. Chapter one now includes a section about the rate of convergence of Riemann sums. The second chapter now covers both Lebesgue and Bernoulli measures, whose relation to one another is discussed. The third chapter now includes a proof of Lebesgue's differential theorem for all monotone functions. This is a beautiful topic which is not often covered. The treatment of surface measure and the divergence theorem in the fifth chapter has been improved. Loose ends from the discussion of the Euler-MacLauren in Chapter I are tied together in Chapter seven. Chapter eight has been expanded to include a proof of Carath ory's method for constructing measures; his result is applied to the construction of Hausdorff measures. The new material is complemented by the addition of several new problems based on that material. |