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Preface
1 The Modeling Adventure
1 What Is Modeling?
2 Multiple Models:Shopping Around
3 An Example of the Modeling Process
Free Radical Formation by Ultrasound
4 Approximations
5 Curve Fitting and Parameter Estimation
6 The O(¡¤)and o(¡¤)notation
7 Fourier Transform
8 Problems and Recommended Reading
2 Stability and Bifurcation
1 Potentials
2 Bifurcation
3 Catastrophe
4 Problems and Recommended Reading
3 Dimensions
1 Dimensions
*Dimensions in Electricity and Magnetism
2 Scaling and Life
3 Dimensional Analysis and the Pi Procedure
*The Pi Theorem
Limitations and Extensions
4 Scale Modeling
5 Problems and Recommended Reading
4 Growth and Relaxation
5 Vibrations
6 Random Thinking
7 Random Processes
8 Complex Systems
9 Snakes and Chains
10 Waves
11 Diffusion
A Electromagnetism
B The SI System of Units
C Some Physical Properties of Materials
Bibliography
Index
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