This textbook on numerics/scientific computing has developed into a classic in the German-speaking countries. It deals with the basics of the numerics of linear and non-linear equation systems, interpolation and approximation, integration as well as eigenvalue problems. The fourth edition was supplemented by a section on higher-dimensional Monte Carlo methods. The only basic knowledge assumed is of analysis and linear algebra.
Peter Deuflhard, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Germany; Andreas Hohmann, ITA Software, Cambridge, Massachusetts, USA.