| | | Preface | | |
| | | From the preface to the first edition | | |
| 1 | | Introduction | | 1 |
| 2 | | Basic analysis | | 11 |
| 3 | | Taylors polynomial and series | | 39 |
| 4 | | The interpolating polynomial | | 52 |
| 5 | | Best approximation | | 86 |
| 6 | | Splines and other approximations | | 131 |
| 7 | | Numerical integration and differentiation | | 160 |
| 8 | | Solution of algebraic equations of one variable | | 196 |
| 9 | | Linear equations | | 221 |
| 10 | | Matrix norms and applications | | 265 |
| 11 | | Matrix eigenvalues and eigenvectors | | 299 |
| 12 | | Systems of non-linear equations | | 323 |
| 13 | | Ordinary differential equations | | 335 |
| 14 | | Boundary value and other methods for ordinary differential equations | | 396 |
| App | | Computer arithmetic | | 418 |
| | | Solutions to selected problems | | 424 |
| | | References and further reading | | 440 |
| | | Index | | 443 |