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Linear functional analysis : an application-oriented introduction
- 作者： Alt, Hans Wilhelm, author.
- 其他作者：
- 其他題名：
- Universitext.
- 出版： London : Springer London :Imprint: Springer
- 叢書名： Universitext,
- 主題： Functional analysis. , Mathematics. , Functional Analysis. , Partial Differential Equations.
- ISBN： 9781447172802 (electronic bk.) 、 9781447172796 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: Introduction -- Preliminaries -- Function spaces -- Subsets of function spaces -- Linear operators -- Linear functionals -- Uniform boundedness principle -- Weak convergence -- Finite-dimensional approximation -- Compact operators -- Spectrum of compact operators -- Self-adjoint operators -- References -- Symbols -- Index.
- 摘要註: This book gives an introduction to Linear Functional Analysis, a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory. A complete introduction to the subject, Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations.
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讀者標籤：
- 系統號： 005366901 | 機讀編目格式
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