Tabla de contenidos provista por Syndetics

• Preface and Acknowledgments(p. xi)
• 1 General Notions; Agenda(p. 1)
• Part A Foundations
• 2 Dimensional Analysis(p. 11)
• Dimensions and Units(p. 11)
• Dimensional Analysis--Motivation(p. 14)
• Dimensional Analysis--The Process(p. 17)
• Units(p. 24)
• Summary(p. 26)
• Problems(p. 26)
• 3 Scaling(p. 28)
• Size and Shape(p. 28)
• Size and Function(p. 33)
• Size and Limits(p. 38)
• Consequences of Choosing a Scale(p. 41)
• Summary(p. 48)
• Problems(p. 49)
• 4 Approximation and Reasonableness of Answers(p. 51)
• Taylor Series(p. 51)
• Binomial Expansion(p. 54)
• Trigonometric Series(p. 57)
• Algebraic Approximations and Significant Figures(p. 59)
• Validating the Model--Errors(p. 63)
• Averaging--Mean, Median, Mode(p. 66)
• Curve Fitting: Least Squares Method; The Continuum Hypothesis(p. 69)
• Validating the Model--Testing(p. 77)
• Summary(p. 78)
• Problems(p. 79)
• Part B Applications
• 5 Free Oscillations of a Pendulum(p. 85)
• Results of an Experiment(p. 85)
• Some Dimensional Analysis(p. 87)
• Equations of Motion(p. 89)
• More Dimensional Analysis(p. 92)
• Linear Model of the Pendulum(p. 95)
• Energy Considerations--Conservation(p. 97)
• Energy Considerations--Dissipation(p. 100)
• Nonlinear Model of the Pendulum(p. 103)
• Summary(p. 107)
• Problems(p. 107)
• Appendix Transformation of Equations of Motion(p. 110)
• 6 Forced Motion of Linerr Oscillators(p. 112)
• The Spring-Mass Oscillator(p. 112)
• Building Vibration(p. 116)
• Automobile Suspension System(p. 119)
• Acoustic Resonator(p. 122)
• Particle Moving in a Magnetic Field(p. 125)
• Electrical Circuits and the Electrical-Mechanical Analogy(p. 127)
• Forced Motion of a Linear Oscillator: Resonance and Impedance(p. 130)
• Summary(p. 135)
• Problems(p. 136)
• 7 Traffic Flow Models(p. 139)
• Macroscopic Traffic Flow Theory--I. Continuum Hypothesis(p. 140)
• Macroscopic Traffic Flow Theory--II. The Fundamental Diagram(p. 142)
• Linear Car-Following Models(p. 147)
• Stability Analysis for Linear Car-Following Models(p. 152)
• Nonlinear Car-Following Models(p. 154)
• Summary(p. 156)
• Problems(p. 156)
• 8 Exponential Models(p. 159)
• Exponential Behavior(p. 159)
• Exponential Functions(p. 164)
• Radioactive Decay(p. 167)
• Discharge of a Capacitor in an RC Circuit(p. 169)
• Charging a Capacitor in an RC Circuit(p. 171)
• Inflation(p. 172)
• Compound Interest(p. 173)
• Growth in Demand for Highways(p. 175)
• Population Growth(p. 177)
• The Lotka-Volterra Equations(p. 179)
• Lanchester's Law(p. 184)
• Summary(p. 188)
• Problems(p. 188)
• 9 Operations Research: Linear Programming(p. 190)
• Optimization via the Calculus(p. 193)
• Optimization via Linear Programming(p. 198)
• The Transportation Problem(p. 204)
• Network Analysis(p. 208)
• Summary(p. 213)
• Problems(p. 214)
• 10 Diffraction and Scale(p. 217)
• Diffraction Geometry(p. 218)
• Diffraction Gratings(p. 226)
• X-Ray and Atomic Particle Diffraction(p. 230)
• Sound Wave Diffraction(p. 234)
• Summary(p. 237)
• Problems(p. 238)
• Appendix I Elementary Transcendental Functions(p. 241)
• Appendix II The Differential Equation dN/dt = [lambda]N(p. 245)
• Appendix III The Differential Equation m d[superscript 2]x/dt[superscript 2] + kx = F(t)(p. 247)
• Bibliography and References(p. 251)
• Index(p. 255)

Notas de autor provistas por Syndetics

Clive L. Dym: Professor and Department Head, Department of Civil Engineering, University of Massachusetts, Amherst
Elizabeth S. Ivey: Associate Professor, Department of Physics, Smith College