Table of contents : Front Matter....Pages I-XVI What can’t be ignored....Pages 1-40 Nonlinear equations....Pages 41-74 Approximation of functions and data....Pages 75-106 Numerical differentiation and integration....Pages 107-128 Linear systems....Pages 129-179 Eigenvalues and eigenvectors....Pages 181-199 Ordinary differential equations....Pages 201-254 Numerical approximation of boundary-value problems....Pages 255-302 Solutions of the exercises....Pages 303-345 Back Matter....Pages 347-366