| 书目名称 | Measure, Integral, Derivative | | 副标题 | A Course on Lebesgue | | 编辑 | Sergei Ovchinnikov | | 视频video | | | 概述 | Contains all the main results of Lebesgue’s theory.Accessible to both upper-undergraduate and master’s students.Includes 180+ exercises with varying degrees of difficulty.Request lecturer material: | | 丛书名称 | Universitext | | 图书封面 |  | | 描述 | .This classroom-tested text is intended for a one-semester course in Lebesgue’s theory. With over 180 exercises, the text takes an elementary approach, making it easily accessible to both upper-undergraduate- and lower-graduate-level students. The three main topics presented are measure, integration, and differentiation, and the only prerequisite is a course in elementary real analysis..In order to keep the book self-contained, an introductory chapter is included with the intent to fill the gap between what the student may have learned before and what is required to fully understand the consequent text. Proofs of difficult results, such as the differentiability property of functions of bounded variations, are dissected into small steps in order to be accessible to students. With the exception of a few simple statements, all results are proven in the text. The presentation is elementary, where σ-algebras are not used in the text on measure theory and Dini’s derivatives are not used in the chapter on differentiation. However, all the main results of Lebesgue’s theory are found in the book..http://online.sfsu.edu/sergei/MID.htm. | | 出版日期 | Textbook 2013 | | 关键词 | Lebesgue integration; Lebesgue measure; analysis; differentiability of BV-functions; measurable sets | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-7196-7 | | isbn_softcover | 978-1-4614-7195-0 | | isbn_ebook | 978-1-4614-7196-7Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer Science+Business Media New York 2013 |
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书目名称Measure, Integral, Derivative影响因子(影响力)学科排名
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书目名称Measure, Integral, Derivative网络公开度学科排名
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书目名称Measure, Integral, Derivative被引频次学科排名
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书目名称Measure, Integral, Derivative读者反馈学科排名
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发表于 2025-3-21 19:55:17
