Preface. Conventions. 1. Some General Principles of Numerical Calculation. 2. How to Obtain and Estimate Accuracy in Numerical Calculations. 3. Numerical Uses of Series. 4. Approximation of Functions. 5. Numerical Linear Algebra. 6. Nonlinear Equations. 7. Finite Differences with Applications to Numerical Integration, Differentiation and Interpolation. 8. Differential Equations. 9. Fourier Methods. 10. Optimization. 11. The Monte Carlo Method and Simulation. 12. Solutions to Problems. 13. Bibliography and Published Algorithms. Appendix Tables. Index.