The aim of this volume is to present research workers and graduate students with a state-of-the-art survey of some of the most active areas of numerical analysis. This, and a companion volume, arise from a Summer School intended to cover recent trends in the subject. The chapters are writtenby the main lecturers at the School, each of whom are internationally renowned experts in their respective fields.This volume covers wavelets from the point of view of spline theory, subdivision algorithms in geometric design and the theory of radial basis function approximation.