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Preface | ||
How to Download the Source Code | ||
Pt. I | Why Good Computations Go Bad | 1 |
Ch. 1 | Floating-Point Numbers Are Not Real! | 3 |
Ch. 2 | How Wholesome Are the Integers? | 19 |
Ch. 3 | The Floating-Point Standard | 33 |
Pt. II | Alterative Computations | 71 |
Ch. 4 | Summing Lists of Numbers | 73 |
Ch. 5 | Finding Roots | 107 |
Ch. 6 | Interpolation and Approximation | 161 |
Ch. 7 | Numerical Integration | 185 |
Ch. 8 | Solving Differential Equations Numerically | 201 |
Pt. III | A Matrix Package | 227 |
Ch. 9 | Basic Matrix Operations | 229 |
Ch. 10 | Solving Systems of Linear Equations | 269 |
Ch. 11 | Matrix Inversion, Determinants, and Condition Numbers | 303 |
Pt. IV | The Joys of Computation | 317 |
Ch. 12 | Big Numbers | 319 |
Ch. 13 | Computing [pi] | 339 |
Ch. 14 | Generating Random Numbers | 365 |
Ch. 15 | Prime Numbers | 393 |
Ch. 16 | Fractals | 429 |
Index | 451 |
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