| 书目名称 | Real Analysis | | 编辑 | Emmanuele DiBenedetto | | 视频video | | | 丛书名称 | Birkhäuser Advanced Texts‘ Basler Lehrbücher | | 图书封面 |  | | 描述 | This book is a self-contained introduction to real analysis assuming only basic notions on limits of sequences in ]RN, manipulations of series, their convergence criteria, advanced differential calculus, and basic algebra of sets. The passage from the setting in ]RN to abstract spaces and their topologies is gradual. Continuous reference is made to the ]RN setting, where most of the basic concepts originated. The first seven chapters contain material forming the backbone of a basic training in real analysis. The remaining two chapters are more topical, relating to maximal functions, functions of bounded mean oscillation, rearrangements, potential theory, and the theory of Sobolev functions. Even though the layout of the book is theoretical, the entire book and the last chapters in particular concern applications of mathematical analysis to models of physical phenomena through partial differential equations. The preliminaries contain a review of the notions of countable sets and related examples. We introduce some special sets, such as the Cantor set and its variants, and examine their structure. These sets will be a reference point for a number of examples and counterexamples in me | | 出版日期 | Textbook 20021st edition | | 关键词 | Maxima; Maximum; analysis/pdes; applications of mathematics; bounded mean oscillation; calculus; different | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0117-5 | | isbn_softcover | 978-1-4612-6620-4 | | isbn_ebook | 978-1-4612-0117-5Series ISSN 1019-6242 Series E-ISSN 2296-4894 | | issn_series | 1019-6242 | | copyright | Springer Science+Business Media New York 2002 |
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发表于 2025-3-21 16:47:10
