This volume contains surveys written by leading experts, along with research papers on the developments in approximation theory and in the theory and application of curves and surfaces. Topics addressed include: approximation of eigenvalues, approximation with weights, Bernstein inequalities, Chebyshev centres, generalized polynomials, Harr sets, kernels on manifolds, linear operators, Markov inequalities, minimal projections, multivariate interpolation, nonlinear approximation, one-sided approximation, orthogonal polynomials, polynomial approximation, rational approximation, shift invariant spaces, uni-modular polynomials and zero-increasing transformations.