Preface -- The popularity and explosive growth of numerical analysis today are further evidence that applications are still the leading source of inspiration for mathematical creativity. Whenever new mathematical ideas are developed it is usually new applications which have pointed the way. The electronic computing machine is itself an illustration of this, a response to an overwhelming need for faster computation. And the appearance of such machines has made ti possible to meet the demands of today's applications, in many cases, by developing more sophisticated numerical methods. This is the pedigree of modern numerical analysis. It is the numerical aspect of the broad field of applied analysis.