Math and AftermathIntroductory remarks: Promises -- Mathematical models -- Casual models -- Douglas Shaffer: Heavenly models -- Bent but not broken -- Of clocks and violins -- Some Wright answers -- General purpose problems -- Descriptive models -- Robert Hooke: Worldly models -- Straight and narrow -- Dangerous curves -- Room at the top -- Bludgeonings of chance -- Proving the pudding -- Closing remarks: Number of numbers -- Apologies -- Appendix: Brief review of calculus -- Differential equations -- Certain scientists. |
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applied assume assumptions astronomer Bernoulli trials body cable calculus called causal model chapter clock consider constant Copernicus corresponding curve cycloid density derivative described descriptive model determine differential equation direction Dirichlet problem discussion distance distribution function estimate example experimental error exponential exponential distribution fact Figure fluid force formula frequency given graph Hooke's Law interval involved Laws of Motion lever linear programming mass mathe mathematical model mathematical problem mathematician matical maximum membrane Newton nonlinear normal distribution Number of B's observations obtain orbit pendulum pendulum clock perpendicular physical situation planet Poisson Poisson distribution position predicted principle probability quantity random variable result shape shown in Fig shows simple solution solve space speed straight line string Suppose surface temperature theoretical theory tion trip Uranus values vector velocity vibration viscosity weight Westinghouse Westinghouse Electric Corporation zero