| 书目名称 | Functional Analysis | | 副标题 | Fundamentals and App | | 编辑 | Michel Willem | | 视频video | | | 概述 | Presents the principles of functional analysis in a clear and concise way.Most competing titles are out of date.Includes very recent simple proofs of the isoperimetric and the Faber-Krahn inequality, | | 丛书名称 | Cornerstones | | 图书封面 |  | | 描述 | .The goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of. Functional Analysis: Fundamentals and Applications. describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szegő and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional analysis, in relation with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics. . | | 出版日期 | Textbook 20131st edition | | 关键词 | Banach spaces; Hilbert spaces; Lebesque spaces; Sobolev spaces; distribution theory; functional analysis; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-7004-5 | | isbn_softcover | 978-1-4899-8794-5 | | isbn_ebook | 978-1-4614-7004-5Series ISSN 2197-182X Series E-ISSN 2197-1838 | | issn_series | 2197-182X | | copyright | Springer Science+Business Media, LLC 2013 |
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发表于 2025-3-21 18:56:54
