Mathematical ModellingThe application of mathematical modelling to physical, economic, and social systems is growing rapidly. This book describes the more important techniques of mathematical modelling, and shows how to apply these techniques to a variety of problems. Each chapter covers a different mathematical technique, discusses the kinds of situations in which it is useful, and shows how to apply the technique to different fields. Examples are drawn from many subjects, including physics, chemistry, economics, demography, biology, medicine, ecology, traffic flow, and others. |
Contents
Need Techniques | 1 |
Mathematical Modelling Through Ordinary Differential | 30 |
Mathematical Modelling Through Systems of Ordinary | 53 |
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age-group algebraic graph balanced boundary conditions Calculus of Variations central force component constant corresponding curve denote difference equation digraph directed edge Discuss dx dy dx/dt dynamic eigenvalue elements entropy equation models EXERCISE expected number fixed points fluid functional equation given gives integral equation interval Laplace Laplace transform Laplace's equation linear programming mass Mathematical Modelling matrix maximize maximum entropy maximum value minimize minimum models in terms motion negative non-linear number of females number of steps orbit ordinary differential equations P₁ parabola parallelopiped partial differential equation particle period planet population proportional represents satisfies Show signed graph situation solution solve species stable surface techniques theorem tion Transform Pairs unit variables vector velocity vertex vertices weighted digraph zero Δι