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Mathematical Analysis and Numerical Methods for Science and Technology: Spectral Theory and Applications
 
 
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Mathematical Analysis and Numerical Methods for Science and Technology: Spectral Theory and Applications [Hardcover]

Robert Dautray (Author), Jacques Louis Lions (Author)
4.0 out of 5 stars  See all reviews (1 customer review)


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Book Description

0387502084 978-0387502083 September 1990
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.
--This text refers to the Paperback edition.

Product Details

  • Hardcover: 368 pages
  • Publisher: Springer-Verlag (September 1990)
  • Language: English
  • ISBN-10: 0387502084
  • ISBN-13: 978-0387502083
  • Product Dimensions: 10 x 7 x 1.2 inches
  • Shipping Weight: 2.2 pounds
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #8,493,212 in Books (See Top 100 in Books)

 

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0 of 4 people found the following review helpful:
4.0 out of 5 stars great mathematics book for physics problems, April 27, 2001
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This book provide the mathematical knowledge required for the researchers in scientific fields , especially in physics,. it provide agood application of mathematics for the thoeoritical and numerical resolution of physical models on computer.
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Inside This Book (learn more)
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First Sentence:
If E and F have finite dimension, the theory of linear operators from E into F reduces to the theory of matrices. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
direct hilbert sum, generalised eigenvectors, simultaneous spectrum, commutative family, endowed with the graph norm, spectral family, variational framework, hounded open set, nodal domains, closed vector subspace, compact mapping, energy observable, compact inverse, operator curl, sesquilinear form, pure point spectrum, hermitian form, essential spectrum, compact resolvent, nuclear operator, multiplicative coefficient, bounded open set, spectral decomposition, residual spectrum, spectral projections
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Academic Press, Lecture Notes, Reed Simon, Scattering Theory, Hilbert Schmidt, Some Spectral Notions, Laplace Beltrami, Notations Relating, Krein Rutman, Spaces Utilised, Cauchy Schwarz, Neumann Laplacian, Plenum Press, Proof Let, Pure Appl, Sonic Spectral Notions, Stone Weierstrass
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