This meticulously edited selection of papers comes out of the Ninth International Symposium on Approximation Theory held in Nashville, Tennessee, in January, 1998. Each volume contains several invited survey papers written by experts in the field, along with contributed research papers.This book should be of great interest to mathematicians, engineers, and computer scientists working in approximation theory, wavelets, computer-aided geometric design (CAGD), and numerical analysis.Among the topics included in the books are the following: adaptive approximationapproximation by harmonic functionsapproximation by radial basis functionsapproximation by ridge functionsapproximation in the complex planeBernstein polynomialsbivariate splinesconstructions of multiresolution analysesconvex approximationframes and frame basesFourier methods generalized moduli of smoothnessinterpolation and approximation by splines on triangulationsmultiwavelet basesneural networksnonlinear approximationquadrature and cubaturerational approximationrefinable functionssubdivision schemesthin plate splineswavelets and wavelet systems