Publisher's Synopsis
The field of numerical analysis has witnessed many significant developments in the 20th century and should continue to enjoy major new advances in the years ahead. Therefore, it seems appropriate to compile a "state-of-the-art" volume devoted to numerical analysis in the 20th century. This volume on "Approximation Theory" is the first of seven volumes that will be published in this journal. It brings together the papers dealing with historical developments, survey papers and papers on recent trends in selected areas. The papers contained within illustrate the profound impact that ideas of approximation theory have had in the creation of numerical algorithms for solving real-world scientific problems. Furthermore, approximation-theortical concepts have proved to be basic tools in the analysis of the applicability of these algorithms.
