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The purpose of this book, written by world-renowned authorities in this field, is to guide the reader in learning about new developments in approximation theory that have come up over the last 20 years. The emphasis is on multivariate approximation theory. Most of the topics appear for the first time here in a systematic textbook and many are still current areas of research. The authors cover positive definite functions, radial basis interpolation, thin-plate splines, neural networks, ridge functions, box splines, approximation on spheres, and wavelets. Every chapter includes practical problems from current research in areas of science, engineering, geophysics, business, and economics.
Synopsis: The purpose of this book is to guide the reader in learning about new developments in approximation theory that have come about in the past 20 years. The emphasis is on multivariate approximation theory (the approximation of functions of several variables, in contrast to the classical theory of functions of one variable). The authors cover positive definite functions, radial basis interpolation, thin-plate splines, neural networks, ridge functions, box splines, approximation on spheres, and wavelets.
Title: A Course in Approximation Theory (The Brooks...
Publisher: Amer Mathematical Society
Publication Date: 1999
Binding: hardcover
Condition: Good
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