Applied Numerical Analysis – Curtis F. Gerald – 6th Edition

Numerical Computing and Computers
1. Solving Nonlinear Equations
2. Solving Sets of Equations
3. Interpolation and Curve Fitting
4. Approximation of Functions
5. Numerical Differentiation and Numerical Integration
6. Numerical Solution of Ordinary Differential Equations
7. Boundary-Value Problems
8. Parabolic and Hyperbolic Partial-Differential Equations
9. The Finite Element Method

App. A. Some Basic Information from Calculus
App. B. Deriving Formulas by the Method of Undetermined Coefficients
App. C. Software Resources.