书目名称 | Introduction to Measure Theory and Functional Analysis | 编辑 | Piermarco Cannarsa,Teresa D‘Aprile | 视频video | | 概述 | Highlights interaction between integration theory and functional analysis, with constant focus on applications.Includes a large number of examples and exercises, often proposed with hints for the read | 丛书名称 | UNITEXT | 图书封面 |  | 描述 | .This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures..This textbook addresses the needs of graduate students in mathematics, who will find the basic material they will need in their future careers, as well as those of researchers, who will appreciate the self-contained exposition which requires no other preliminaries than basic calculus and linear algebra.. | 出版日期 | Textbook 2015 | 关键词 | Functional analysis; Functions of bounded variations; Integration; Measure theory; Set-valued maps; quant | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-17019-0 | isbn_softcover | 978-3-319-17018-3 | isbn_ebook | 978-3-319-17019-0Series ISSN 2038-5714 Series E-ISSN 2532-3318 | issn_series | 2038-5714 | copyright | Springer International Publishing Switzerland 2015 |
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