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＜E-Book＞
Mathematical Analysis and Numerical Methods for Science and Technology : Volume 3 Spectral Theory and Applications / by Robert Dautray, Jacques-Louis Lions

Edition	1st ed. 2000.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2000
Size	X, 542 p : online resource
Authors	*Dautray, Robert author Lions, Jacques-Louis author SpringerLink (Online service)
Subjects	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
Notes	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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