Average Case Analysis of Numerical Problems The average case analysis of numerical problems is the counterpart of the more traditional worst case approach. The analysis of average error and cost leads to new insight on numerical problems as well as to new algorithms. The book provides a survey of results that were mainly obtained during the last 10 years and also contains new results. The problems under consideration include approximation optimal recovery and numerical integration of univariate and multivariate functions as well as zero finding and global optimization. Background material e.g. on reproducing kernel Hilbert spaces and random fields is provided