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 boundary value problem Calculus of Variations central force component constant corresponding curve denote difference equation digraph directed edge Dirichlet problem 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 Equation Laplace transform mass Mathematical Modelling matrix maximize maximum value minimum models in terms motion negative non-linear number of females number of steps optimal orbit ordinary differential equations parabola parallelopiped partial differential equation particle planet population principle proportional satisfies Show signed graph solution solve species stable surface techniques theorem tion Transform Pairs unit variables vector velocity vertex vertices weighted digraph xn(t zero Δι Σ Σ ди ду