Nature of Mathematical Modeling

1. Introduction
pt. 1. Analytical Models.
2. Ordinary Differential and Difference Equations.
3. Partial Differential Equations.
4. Variational Principles.
5. Random Systems
pt. 2. Numerical Models.
6. Finite Differences: Ordinary Differential Equations.
7. Finite Differences: Partial Differential Equations.
8. Finite Elements.
9. Cellular Automata and Lattice Gases
pt. 3. 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
App. 1. Graphical and Mathematical Software
App. 2. Network Programming
App. 3. Benchmarking
App. 4. Problem Solutions

This is about the nature of mathematical modelling, and the kinds of techniques that are useful for modelling. It is oriented towards simple efficient implementations on computers