Chapter 6. System of Nonlinear Equations (postscript)(pdf)

- Theory of Newton-Raphson Method
- The Broyden Method
- Sturm Sequence
- Methods for Polynomials

Chapter 7. Approximation Theory (postscript)(pdf)

- Lagrangian Interpolation Formula
- Newton's Interpolation Formula
- Osculatory Interpolation
- Spline Interpolation
- Trigonometric Interpolation
- Fast Fourier Transform

Chapter 8. Differentiation and Integration (postscript)(pdf)

- Numerical Differentiation
- Richardson Extrapolation
- Newton-Cotes Quadrature
- Gaussian Quadrature
- Weight Functions and Special Integrals
- Adaptive Integration

Chapter 9. Numerical Ordinary Differential Equations - Initial Value Problems (postscript)(pdf)

- Linear Multi-step Methods
- Stability Theory of Multi-step Methods
- Predictor and Corrector Methods
- Runge-Kutta Methods

Chapter 10. Numerical Ordinary Differential Equations - Boundary Value Problems (postscript)(pdf)

- Ordinary Shooting Method --- An Example
- Multiple Shooting Methods --- The Set-up
- Solving Nonlinear Equations --- Homotopy Method
- Finite Difference Method
- Finite Element Methods