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.
"It is one of those books that should be recommended to students and other users." -- Werner H. Schmidt in: Zentralblatt Math 1/2010
"The book can be recommended as a textbook for a Bachelor's course on numerical analysis, for students of mathematics, natural sciences and computer sciences." -- Martin Hermann in: Mathematical Reviews 2010d
Peter Deuflhard, Zuse-Institut Berlin und Freie Universität Berlin; Andreas Hohmann , ITA Software, Cambridge, USA.
Inhaltsangabe
Aus dem Inhalt: 1. Lineare Gleichungssysteme 2. Fehleranalyse 3. Lineare Ausgleichsprobleme 4. Nichtlineare Gleichungssysteme und Ausgleichsprobleme 5. Symmetrische Eigenwertprobleme 6. Drei-Term-Rekursionen 7. Interolation und Approximation 8. Große symmetrische Gleichungssysteme und Eigenwertprobleme 9. Bestimmte Integrale