Explains the relevance and importance of mathematical modelling for a non-technical audience.
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The language of mathematics has proven over centuries of application to be an indispensable tool for the expression and analysis of real problems. Here Kalman explains for an audience of non-mathematicians the relevance of mathematical models to phenomena ranging from population growth and economics to medicine and the physical sciences.
1. Overview; 2. Sequences and difference equations; 3. Arithmetic growth; 4. Linear graphs, functions and equations; 5. Quadratic growth models; 6. Quadratic graphs, functions and equations; 7. Polynomial and rational functions; 8. Fitting a line to data; 9. Geometric growth; 10. Exponential functions; 11. More on logarithms; 12. Geometric sums and mixed models; 13. Logistic growth; 14. Chaos in logistic models.
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