"Substantial, detailed and rigorous . . . readers for whom the book is intended are admirably served." — MathSciNet (Mathematical Reviews on the Web), American Mathematical Society. Practical text strikes fine balance between students' requirements for theoretical treatment and needs of practitioners, with best methods for large- and small-scale computing. Prerequisites are minimal (calculus, linear algebra, and preferably some acquaintance with computer programming). Text includes many worked examples, problems, and an extensive bibliography.
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.
11. The Monte Carlo Method and Simulation.
12. Solutions to Problems.
13. Bibliography and Published Algorithms.
Appendix Tables. Index.