The Nature of Mathematical Modeling

1. Introduction
Part One: Analytical Models
2. Ordinary Differential and Difference Equations
3. Partial Differential Equations
4. Variational Principles
5. Random Systems
Part Two: Numerical Models
6. Finite Differences: Ordinary Differential Equations
7. Finite Differences: Partial Differential Equations
8. Finite Elements
9. Cellular Automata and Lattice Gases
Part Three: Observational Models
10. Function Fitting
11. Transforms
12. Architectures
13. Optimization and Search
14. Clustering and Density Estimation
15. Filtering and State Estimation
16. Linear and Nonlinear Time Series