| 書目名稱 | Functional Analysis | | 副標題 | Fundamentals and App | | 編輯 | Michel Willem | | 視頻video | http://file.papertrans.cn/350/349560/349560.mp4 | | 概述 | Second edition features new and expanded coverage of distribution theory and calculus, as well as other improvements.Presents the principles of functional analysis in a clear and concise way.Provides | | 叢書名稱 | Cornerstones | | 圖書封面 |  | | 描述 | .This textbook presents the principles of functional analysis in a clear and concise way. The first three chapters describe the general notions of distance, integral, and norm, as well as their relations. Fundamental examples are provided in the three chapters that follow: 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-Szeg? and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional? analysis in relation to integration and differentiation. Starting from elementary analysis and introducing relevant research, this work is an excellent resource for students in mathematics and applied mathematics...The second edition of .Functional Analysis. includes several improvements as well as the addition of supplementary material. Specifically, the coverage of advanced calculus and distribution theory has been completely rewritten and expanded. New proofs, theorems, and applications have been added as well for readers to explore.. | | 出版日期 | Textbook 2022Latest edition | | 關鍵詞 | functional analysis; Banach spaces; Hilbert spaces; Lebesque spaces; Sobolev spaces; distribution theory; | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-031-09149-0 | | isbn_softcover | 978-3-031-09151-3 | | isbn_ebook | 978-3-031-09149-0Series ISSN 2197-182X Series E-ISSN 2197-1838 | | issn_series | 2197-182X | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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