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Linear Operator Equations : Approximation and Regularization, Hardcover by Na...
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- Linear Operator Equations : Approximation and Regularization, Hardcover by Nair, M. Thamban, ISBN 9812835644, ISBN-13 9789812835642, Brand New, Free shipping in the US
The operator equations that are used to formulate many problems in science and engineering tend to be solved only approximately using numerical methods, explains Nair (Indian Institute of Technology, Madras) because an exact solution--even when it is possible--is usually not worth the effort. It is useful however to know how the approximation approximates the theoretical exact solution, and what the degree of error would be in such a procedure. This is the task he describes how to accomplish, mainly using the basic results from functional analysis and some rudimentary ideas from numerical analysis. He does not assume readers to have more than a passing acquaintance with either of these disciplines. His core chapters look at well-posed equations and their approximations, ill-posed equations and their regularizations, and regularized approximation methods. Chapter-end problems are provided for self-study or classroom use. Annotation ©2009 Book News, Inc., Portland, OR ()
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