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Mathematical Analysis and Numerical Methods for Science and Technology : Volume 3 Spectral Theory and Applications / by Robert Dautray, Jacques-Louis Lions
版 | 1st ed. 2000. |
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出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 2000 |
大きさ | X, 542 p : online resource |
著者標目 | *Dautray, Robert author Lions, Jacques-Louis author SpringerLink (Online service) |
件 名 | LCSH:Partial differential equations LCSH:Mathematical analysis LCSH:Analysis (Mathematics) LCSH:Chemometrics LCSH:Computational intelligence FREE:Partial Differential Equations FREE:Analysis FREE:Math. Applications in Chemistry FREE:Computational Intelligence |
一般注記 | VIII. Spectral Theory -- Appendix. “Krein-Rutman Theorem”* -- IX. Examples in Electromagnetism and Quantum Physics* -- A. Examples in Electromagnetism -- B. Examples in Quantum Physics -- Appendix. Some Spectral Notions -- 2. “Continuous Operational Calculus” for a (Bounded) Normal Operator -- 3. “Continuous Operational Calculus” for an (Unbounded) Self-Adjoint Operator -- 4. Simultaneous Spectrum of a Commutative Family of (Bounded) Normal Operators -- 8. von Neumann Algebras -- 9. “Bounded Operational Calculus” -- 10. Maximal Commutative von Neumann Algebras -- 11. “Maximal” Spectral Decomposition. “Complete Family of Observables which Commute” -- Table of Notations -- of Volumes 1, 2, 4–6 The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. The objective of the present work is to compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form HTTP:URL=https://doi.org/10.1007/978-3-642-61529-0 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783642615290 |
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電子リソース |
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EB00165934 |
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