1. What is a model?
1.1 The idea of a mathematical model and its relation to other uses of the word
1.2 Relations between models with respect to origins
1.3 Relations between models with respect to purpose and conditions
1.4 How should a model be judged?
2. The Different types of model
2.1 Verbal models and mechanical analogies
2.2 Finite models
2.3 Fuzzy subsets
2.4 Statistical models
2.5 Difference and differential equations
2.6 Stochastic models
3. How to formulate a model
3.1 Laws and conservation principles
3.2 Constitutive relations
3.3 Discrete and continuous models
4. How should a model be manipulated into its most responsive form?
4.1 Introductory suggestions
4.2 Natural languages and notations
4.3 Rendering the variables and parameters dismensionless
4.4 Reducing the number of equations and simplifying them
4.5 Getting partial insights into the form of the solution
4.5.1 The phase plane and competing populations
4.5.2 Coarse numerical methods and their uses
4.5.3 The interaction of easier and more difficult problems
5. How should a model be evaluated?
5.1 Effective presentation of a model
5.2 Extension of models
5.3 Observable quantities
5.4 Comparison of models and prototypes and of models among themselves
Appendices
A. Longitudinal diffusion in a packed bed
B. The coated tube chromatograph and Taylor diffusion
C. The stirred tank reactor
References
Subject index
Name idex
Appendices to the Dover Edition
I. "Re, k and p: A Conversation on Some Aspects of Mathematical Modelling"
II. The Jail of Shape
III. The Mere Notion of a Model
IV. "Ut Simulacrum, Poesis"
V. Manners Makyth Modellers
VI. How to Get the Most Out of an Equation without Really Trying

Join the Dover Family | Track Your Order | Your Account | Shipping Rates and Policies | Returns | Customer Service | Free Samples | About Dover | Privacy Notice | Terms of Use | Join Our Staff | Free Catalogs