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Field name	Details
Dewey Class	515.353
Title	Mathematical Analysis and Numerical Methods for Science and Technology ([EBook]) : Volume 3 : Spectral Theory and Applications / by Robert Dautray, Jacques-Louis Lions.
Author	Dautray, Robert. , 1928-
Added Personal Name	Lions, Jacques Louis , 1928-2001 author.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2000.
Physical Details	X, 542 pages : online resource.
ISBN	9783642615290
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-61529-0
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Chemometrics . Computational Intelligence . Math. Applications in Chemistry . Mathematical analysis . Mathematics . Partial differential equations . Authors: Dautray, Robert. 1928- . Lions, Jacques Louis 1928-2001 . Corporate Authors: SpringerLink (Online service) . Classification: 515.353 .

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Mathematical Analysis and Numerical Methods for Science and Technology: Volume 3 : Spectral Theory and Applications

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