| 書目名稱 | Functional Analysis | | 副標(biāo)題 | An Introductory Cour | | 編輯 | Sergei Ovchinnikov | | 視頻video | http://file.papertrans.cn/350/349562/349562.mp4 | | 概述 | Provides an elementary treatment of the subject that establishes the foundation for further study.Enriches understanding of the theory with numerous examples and counterexamples.Includes many exercise | | 叢書名稱 | Universitext | | 圖書封面 |  | | 描述 | This concise text provides a gentle introduction to functional analysis. Chapters cover essential topics such as special spaces, normed spaces, linear functionals, and Hilbert spaces. Numerous examples and counterexamples aid in the understanding of key concepts, while exercises at the end of each chapter provide ample opportunities for practice with the material. Proofs of theorems such as the Uniform Boundedness Theorem, the Open Mapping Theorem, and the Closed Graph Theorem are worked through step-by-step, providing an accessible avenue to understanding these important results. The prerequisites for this book are linear algebra and elementary real analysis, with two introductory chapters providing an overview of material necessary for the subsequent text.. . .Functional Analysis. offers an elementary approach ideal for the upper-undergraduate or beginning graduate student. Primarily intended for a one-semester introductory course, this text is also a perfect resource for independent study or as the basis for a reading course.. | | 出版日期 | Textbook 2018 | | 關(guān)鍵詞 | Functional analysis textbook; Introductory functional analysis; Normed space; Banach space; Inner produc | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-91512-8 | | isbn_softcover | 978-3-319-91511-1 | | isbn_ebook | 978-3-319-91512-8Series ISSN 0172-5939 Series E-ISSN 2191-6675 | | issn_series | 0172-5939 | | copyright | Springer International Publishing AG, part of Springer Nature 2018 |
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