These are the proceedings of the international conference on Nonlinear Numerical Methods and Rational Approximation II, which Dr. Cuyt organized at the University of Antwerp, Belgium, 5--11 September 1992. The conference focused on the use of rational functions in different fields of numerical analysis. The invited speakers discussed five main topics, which are represented by the five sections of this book: orthogonal polynomials, rational interpolation, rational approximation, Padé approximation and continued fractions. Multivariate and multidimensional problems, application and implementations of each main topic are also considered. For specialists in the field of nonlinear numerical methods and rational approximation.