| 書目名稱 | Essentials of Measure Theory | | 編輯 | Carlos S. Kubrusly | | 視頻video | http://file.papertrans.cn/316/315658/315658.mp4 | | 概述 | Serves as a solid modern classical text for a course in measure theory.Accessible to a wide audience of students from various disciplines.Text is self-contained and requires only modest prerequisites | | 圖書封面 |  | | 描述 | .Classical in its approach, this textbook is thoughtfully designed and composed in two parts. Part I is meant for a one-semester beginning graduate course in measure theory, proposing an “abstract” approach to measure and integration, where the classical concrete cases of Lebesgue measure and Lebesgue integral are presented as an important particular case of general theory. Part II of the text is more advanced and is addressed to a more experienced reader. The material is designed to cover another one-semester graduate course subsequent to a first course, dealing with measure and integration in topological spaces..The final section of each chapter in Part I presents problems that are integral to each chapter, the majority of which consist of auxiliary results, extensions of the theory, examples, and counterexamples. Problems which are highly theoretical have accompanying hints. The last section of each chapter of Part II consists of Additional Propositions containing auxiliaryand complementary results. The entire book contains collections of suggested readings at the end of each chapter in order to highlight alternate approaches, proofs, and routes toward additional results..With m | | 出版日期 | Textbook 2015 | | 關(guān)鍵詞 | Borel measure; Haar measure; Lebesgue measure; Lp spaces; Riesz representation theorem; measurable functi | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-22506-7 | | isbn_softcover | 978-3-319-37200-6 | | isbn_ebook | 978-3-319-22506-7 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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