Introduction to Numerical Computation - analysis and Matlab illustrations

In a modern programming environment like eg MATLAB it is possible by simple commands to perform advanced calculations on a personal computer. In order to use such a powerful tool efiiciently it is necessary to have an overview of available numerical methods and algorithms and to know about their properties. The book describes and analyses numerical methods for error analysis, differentiation, integration, interpolation and approximation, and the solution of nonlinear equations, linear systems of algebraic equations and systems of ordinary differential equations. Principles and algorithms are illustrated by examples in MATLAB.