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.
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Ward Cheney is Professor of Mathematics at the University of Texas at Austin. His research interests include approximation theory, numerical analysis, and extremum problems.
Working through this book provides an opportunity to review and apply areas of mathematics learned elsewhere, as well as to learn entirely new topics. ----MAA Reviews
The textbook, a clear and concise work written by world-renowned experts in the field of approximation theory, will probe useful not only as a reference for professional mathematicians but also as a text for graduate students. ---- Mathematical Reviews
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