| Frank R．Giordano毕业于美国西点军校，曾任西点军校数学系系主任，现为美国海军研究生院教授，多年来一直是美国大学生数学建模竞赛的主要组织者，也是美国大学生数学建模竞赛组委会主任。 |
| 1 modeling change introduction 1.1 modeling change with difference equations 1.2 approximating change with differenceequations 1.3 solutions to dynamical systems 1.4 systems of difference equations 2 the modeling process, proportionality,and geometric similarity 2.1 mathematical models 2.2 modeling using proportionality 2.3 modeling using geometric similarity 2.4 automobile gasoline mileage 2.5 body weight and height, strength and agility 3 model fitting 3.1 fitting models to data graphically 3.2 analytic methods of model fitting 3.3 applying the least-squares criterion 3.4 choosing a best model 4 experimental modeling 4.1 harvesting in the chesapeake bay and other one-term models 4.2 high-order polynomial models 4.3 smoothing: low-order polynomial models 4.4 cubic spline models 5 simulation modeling introduction 5.1 simulating deterministic behavior: area under a curve 5.2 generating random numbers 5.3 simulating probabilistic behavior 5.4 inventory model: gasoline and consumer demand 5.5 queuing models 6 discrete probabilistic modeling 7 optimization of discrete models 8 modeling using graph theory 9 dimensional analysis and similitude 10 graphs of functions as models 11 modeling with a differential equation 12 modeling with systems of differential equations 13 optimization of continuous models |
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