• Chapter 1. Numerical Analysis and Scientific Computing Explorations
• Chapter 2. Computing with Numbers
• Chapter 3. The Solution of a System of Linear Equations
• Chapter 4. Polynomials and Polynomial Approximations
• Chapter 5. Piecewise Polynomial and Spline Approximations
• Chapter 6. Numerical Analysis and Scientific Computing Explorations
• Chapter 7. The Solution of Nonlinear Equations
• Chapter 8. Matrix Algorithms
• Chapter 9. Eigenvalue Problems
• Chapter 10. Initial Value Problems for Ordinary Differential Equations
• Chapter 11. Boundary and Eigenvalue Problems for Ordinary Differential Equations
• Chapter 12. Initial Value Problems for Partial Differential Equations
• Chapter 13. Boundary Value Problems for Partial Differential Equations
• Chapter 14. Ill-Conditioned and Ill-Posed Problems