Selected Topics in Approximation and Computation addresses the
relationship between modern approximation theory and computational
methods. The text is a combination of expositions of basic
classical methods of approximation leading to popular splines and
new explicit tools of computation, including Sinc methods, elliptic
function methods, and positive operator approximation methods. It
also provides an excellent summary of worst case analysis in
information based complexity. It relates optimal computational
methods with the theory of s-numbers and n-widths. It can serve as
a text for senior-graduate courses in computer science and applied
mathematics, and also as a reference for professionals.
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