| 书目名称 | Functional Analysis | | 副标题 | An Introduction to M | | 编辑 | Joseph Muscat | | 视频video | | | 概述 | Includes over 1000 examples and exercises.Contains interesting applications such as least squares approximation, inverse problems, and SVD.Assumes only single-variable real analysis and linear algebra | | 图书封面 |  | | 描述 | .This textbook provides an introduction to functional analysis suitable for lecture courses to final year undergraduates or beginning graduates..Starting from the very basics of metric spaces, the book adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, including the spectral theorem, the Gelfand transform, and Banach algebras. Various applications, such as least squares approximation, inverse problems, and Tikhonov regularization, illustrate the theory. Over 1000 worked examples and exercises of varying difficulty present the reader with ample material for reflection..This new edition of .Functional Analysis. has been completely revised and corrected, with many passages rewritten for clarity, numerous arguments simplified, and a good amount of new material added, including new examples and exercises. The prerequisites, however, remain the same with only knowledge of linear algebra and real analysis of a singlevariable assumed of the reader.. | | 出版日期 | Textbook 2024Latest edition | | 关键词 | Banach Algebra; Banach Space; Metric Space; Hilbert Space; Spectral theory; C*-algebra; Textbook on Functi | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-031-27537-1 | | isbn_softcover | 978-3-031-27536-4 | | isbn_ebook | 978-3-031-27537-1 | | 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 17:07:52
