| 书目名称 | Essentials of Integration Theory for Analysis |
| 编辑 | Daniel W. Stroock |
| 视频video | |
| 概述 | Refocus and substantial revision of previous successful publication "A Concise Introduction to the Theory of Integration" by D.W. Stroock (Birkhauser).Separate solutions manual available to those who |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | ‘A Concise Introduction to the Theory of Integration’ was once a best-selling Birkhäuser 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 Carathéory‘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. |
| 出版日期 | Textbook 20111st edition |
| 关键词 | Hausdorff measure; Riemann integration; Riemann sum; integration theory; measure and integration |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4614-1135-2 |
| isbn_softcover | 978-1-4614-2988-3 |
| isbn_ebook | 978-1-4614-1135-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | Springer Science+Business Media, LLC 2011 |
发表于 2025-3-21 17:37:03
