| 书目名称 | Real Analysis |
| 编辑 | Emmanuele DiBenedetto |
| 视频video | http://file.papertrans.cn/823/822125/822125.mp4 |
| 概述 | Includes supplementary material: |
| 丛书名称 | Birkhäuser Advanced Texts‘ Basler Lehrbücher |
| 图书封面 |  |
| 描述 | .The second edition of this classic textbook presents a rigorous and self-contained introduction to real analysis with the goal of providing a solid foundation for future coursework and research in applied mathematics. Written in a clear and concise style, it covers all of the necessary subjects as well as those often absent from standard introductory texts. Each chapter features a “Problems and Complements” section that includes additional material that briefly expands on certain topics within the chapter and numerous exercises for practicing the key concepts..The first eight chapters explore all of the basic topics for training in real analysis, beginning with a review of countable sets before moving on to detailed discussions of measure theory, Lebesgue integration, Banach spaces, functional analysis, and weakly differentiable functions. More topical applications are discussed in the remaining chapters, such as maximal functions, functions of bounded mean oscillation, rearrangements, potential theory, and the theory of Sobolev functions. This second edition has been completely revised and updated and contains a variety of new content and expanded coverage of key topics, such |
| 出版日期 | Textbook 2016Latest edition |
| 关键词 | real analysis; measure theory; functional analysis; Lebesgue integration; weakly differentiable function |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-1-4939-4005-9 |
| isbn_softcover | 978-1-4939-8151-9 |
| isbn_ebook | 978-1-4939-4005-9Series ISSN 1019-6242 Series E-ISSN 2296-4894 |
| issn_series | 1019-6242 |
| copyright | Springer Science+Business Media New York 2016 |
|Archiver|手机版|小黑屋|
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