Preface . . xi 
Acknowledgments . . xiii 
1 Introduction . . 1 
2 Computer Arithmetics . . 9 
3 Classification of Numerical Computation Problems . . 25 
4 Real-Valued Functions . . 37 
5 Computing Derivatives . . 41 
6 Computing Integrals . . 57 
7 Finding Where a Function f(x) is Zero . . 69 
8 Finding Roots of Polynomials . . 79 
9 Solving n Linear Equations in n Unknowns . . 97 
10 Eigenvalue and Eigenvector Problems . . 109 
11 Problems of Linear Programming . . 137 
12 Finding Where Several Functions are Zero . . 159 
13 Optimization Problems . . 181 
14 Ordinary Differential Equations . . 191 
15 Partial Differential Equations . . 217 
16 Numerical Methods with Complex Functions . . 235 
The Precise Numerical Methods Program PNM . . 248
Index . . 249