| 书目名称 | Essentials of Integration Theory for Analysis |
| 编辑 | Daniel W. Stroock |
| 视频video | |
| 概述 | Solutions manual is available to instructors who adopt the textbook for their course.Second edition revised with new topics, some reworked text, new exercises.Suitable for a one-semester graduate cour |
| 丛书名称 | Graduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | .When the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkhäuser title by the same author, .A Concise Introduction to the Theory of Integration. .Appropriate as a primary text for a one-semester graduate course in integration theory, this GTM is also useful for independent study. A complete solutions manual is available for instructors who adopt the text for their courses. This second edition has been revised as follows: §2.2.5 and §8.3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in §7.3.2, the author has added a brief introduction to Schwartz‘s theory of tempered distributions in §7.3.4. Section §7.4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections §8.2.5 and §8.2.6, where Lévy‘s Continuity Theorem and Bochner‘s characterization of the Fourier transforms of Borel probability on ℝ.N. are proven. Subsection 8.1.2 is new and contains a proof of the Hahn Decomposition Theorem. Finally, there are several new exercises, some covering material from the ori |
| 出版日期 | Textbook 2020Latest edition |
| 关键词 | Hausdorff measure; Riemann integration; Riemann sum; integration theory; measure and integration; Riesz s |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-030-58478-8 |
| isbn_softcover | 978-3-030-58480-1 |
| isbn_ebook | 978-3-030-58478-8Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
| issn_series | 0072-5285 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:08:14
