Elements of Numerical Analysis

1. What is numerical analysis?
2. Complex numbers and polynomials
3. Difference Equations
4. Iteration
5. Iteration for Systems of Equations
6. Linear Difference Equations
7. Bernoulli's Method
8. The Quotient-Difference Algorithm
9. The Interpolating Polynomial
10. Construction of the Interpolating Polynomial: Methods Using Ordinates
11. Construction of the Interpolating Polynomial: Methods Using Differences
12. Numerical Differentiation
13. Numerical Integration
14. Numerical Solution of Differential Equations
15. Number Systems
16. Propagation of Round-off Error