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| 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。. William P．Fox曾任教于美国西点军校，现为美国海军研究生院教授，是美国中学生数学建模竞赛组委会主任。.. Steven B．Horton美国西点军校教授。 Maurice D．Weir美国海军研究生院荣誉退休教授，曾任该校副教务长。... .. << 查看详细 |
| 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 5.1 simulating deterministic behavior: area under a curve 5.2 6enerating random numbers 5.3 simulating probabilistic behavior 5.4 inventory model: 6asoline and consumer demand 5.5 queuing models 6 discrete probabilistic modeling 6.1 probabilistic modeling with discrete systems 6.2 modeling component and system reliability 6.3 linear regression 7 optimization of discrete models 7.1 an overview of optimization modeling 7.2 linear programming i: geometric solutions 7.3 linear programming ii: algebraic solutions .. 7.4 linear programming iii: the simplex method 7.5 linear programming iv: sensitivity analysis 8 modeling using graph theory 8.1 graphs as models 8.2 describing graphs 9 dimensional analysis and similitude 9.1 dimensions as products 9.2 the process of dimensional analysis 9.3 a damped pendulum 9.4 examples illustrating dimensional analysis 9.5 similitude 10 graphs of functions as models 10.1 an arms race 10.2 modeling an arms race in stages 10.3 managing nonrenewable resources: the energy crisis 10.4 effects of taxation on the energy crisis 10.5 a gasoline shortage and taxation 11 modeling with a differential equation 11.1 population growth 11.2 prescribing drug dosage 11.3 braking distance revisited 11.4 graphical solutions of autonomous differential equations 12 modeling with systems of differential equations 12.1 graphical solutions of autonomous systems of first-order differential equations 12.2 a competitive hunter model 12.3 a predator-prey model 12.4 two military examples 13 optimization of continuous models 13.1 an inventory problem: minimizing the cost of delivery and storage 13.2 a manufacturing problem: maximizing profit in producing competing products 13.3 constrained continuous optimization 13.4 managing renewable resources: the fishing industry ... |
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