| 书目名称 | Functional Analysis Tools for Practical Use in Sciences and Engineering | | 编辑 | Carlos A. de Moura | | 视频video | | | 概述 | Covers topics on functional analysis of immediate use in applied sciences.Designed for science and engineering students who need functional analysis as a tool.Includes key examples in every chapter, p | | 图书封面 |  | | 描述 | This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering. It follows a very reader-friendly structure, with the presentation and the level of exposition especially tailored to those who need functional analysis but don’t have a strong background in this branch of mathematics. For every tool, this work emphasizes the motivation, the justification for the choices made, and the right way to employ the techniques. Proofs appear only when necessary for the safe use of the results.. .The book gently starts with a road map to guide reading. A subsequent chapter recalls definitions and notation for abstract spaces and some function spaces, while Chapter 3 enters dual spaces. Tools from Chapters 2 and 3 find use in Chapter 4, which introduces distributions. The Linear Functional Analysis basic triplet makes up Chapter 5, followed by Chapter 6, whichintroduces the concept of compactness. Chapter 7 brings a generalization of the concept of derivative for functions defined in normed spaces, while Chapter 8 discusses basic results about Hilbert spaces that are paramount to numerical appro | | 出版日期 | Textbook 2022 | | 关键词 | functional analysis; sequences; series; normed space; Cauchy sequences; Lebesgue integral; Sobolev spaces; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-10598-2 | | isbn_softcover | 978-3-031-10600-2 | | isbn_ebook | 978-3-031-10598-2 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 16:10:01
