Mathematical Analysis and Numerical Methods for Science and Technology: Volume 3
Subtitle: Spectral Theory and Applications
Contributors: M. Artola (Contributor); M. Cessenat (Contributor); J.C. Amson (Translator)
Edition: 1st ed. 1990. 2nd printing edition
Publisher: Springer
Published: January 7, 2000
Language: eng
Format: Paperback
Number of pages: 542
ISBN-13: 9783540660996
Subjects: Functional analysis; Mathematical theory of computation; Mathematics for scientists & engineers; Numerical Analysis; Number Systems; Mathematical Analysis; Mathematics; Science/Mathematics; Chemistry - General; Differential Equations; Mathematics / Differential Equations; Mathematics / Number Systems; Mathematics-Differential Equations; Science-Chemistry - General; Probability & Statistics - General
First sentence: If E and F have finite dimension, the theory of linear operators from E into F reduces to the theory of matrices.
Description: 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.