| Preface and Acknowledgments |
| General Notions; Agenda / 1： |
| Foundations / Part A： |
| Dimensional Analysis / 2： |
| Dimensions and Units |
| Dimensional Analysis--Motivation |
| Dimensional Analysis--The Process |
| Units |
| Summary |
| Problems |
| Scaling / 3： |
| Size and Shape |
| Size and Function |
| Size and Limits |
| Consequences of Choosing a Scale |
| Approximation and Reasonableness of Answers / 4： |
| Taylor Series |
| Binomial Expansion |
| Trigonometric Series |
| Algebraic Approximations and Significant Figures |
| Validating the Model--Errors |
| Averaging--Mean, Median, Mode |
| Curve Fitting: Least Squares Method; The Continuum Hypothesis |
| Validating the Model--Testing |
| Applications / Part B： |
| Free Oscillations of a Pendulum / 5： |
| Results of an Experiment |
| Some Dimensional Analysis |
| Equations of Motion |
| More Dimensional Analysis |
| Linear Model of the Pendulum |
| Energy Considerations--Conservation |
| Energy Considerations--Dissipation |
| Nonlinear Model of the Pendulum |
| Transformation of Equations of Motion / Appendix： |
| Forced Motion of Linerr Oscillators / 6： |
| The Spring-Mass Oscillator |
| Building Vibration |
| Automobile Suspension System |
| Acoustic Resonator |
| Particle Moving in a Magnetic Field |
| Electrical Circuits and the Electrical-Mechanical Analogy |
| Forced Motion of a Linear Oscillator: Resonance and Impedance |
| Traffic Flow Models / 7： |
| Macroscopic Traffic Flow Theory--I. Continuum Hypothesis |
| Macroscopic Traffic Flow Theory--II. The Fundamental Diagram |
| Linear Car-Following Models |
| Stability Analysis for Linear Car-Following Models |
| Nonlinear Car-Following Models |
| Exponential Models / 8： |
| Exponential Behavior |
| Exponential Functions |
| Radioactive Decay |
| Discharge of a Capacitor in an RC Circuit |
| Charging a Capacitor in an RC Circuit |
| Inflation |
| Compound Interest |
| Growth in Demand for Highways |
| Population Growth |
| The Lotka-Volterra Equations |
| Lanchester's Law |
| Operations Research: Linear Programming / 9： |
| Optimization via the Calculus |
| Optimization via Linear Programming |
| The Transportation Problem |
| Network Analysis |
| Diffraction and Scale / 10： |
| Diffraction Geometry |
| Diffraction Gratings |
| X-Ray and Atomic Particle Diffraction |
| Sound Wave Diffraction |
| Elementary Transcendental Functions / Appendix I： |
| The Differential Equation dN/dt = [lambda]N / Appendix II： |
| The Differential Equation m d[superscript 2]x/dt[superscript 2] + kx = F(t) / Appendix III： |
| Bibliography and References |
| Index |
| Preface and Acknowledgments |
| General Notions; Agenda / 1： |
| Foundations / Part A： |
| Dimensional Analysis / 2： |
| Dimensions and Units |
| Dimensional Analysis--Motivation |
