Mathematical ModelingThis book can be used in courses on mathematical modeling at the senior undergraduate or graduate level, or used as a reference for in-service scientists and engineers. The book aims to provide an overview of mathematical modeling through a panoramic view of applications of mathematics in science and technology. In each chapter, mathematical models are chosen from the physical, biological, social, economic, management, and engineering sciences. The models deal with different concepts, but have a common mathematical structure and bring out the unifying influence of mathematical modeling in different disciplines. FEATURES:
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algebraic amount Calculus of Variations coefficient components constant corresponding curve decreases delay-differential denote determine Difference Equations differential equation model digraph Discuss Dynamic Programming Earth edges eigenvalue elements energy equilibrium position Euler-Lagrange Equation EXERCISE expected number Figure fixed points fluid functional equation given gives harvesting increases integral equation Integrating Eqn interval investment J. N. Kapur Lagrange’s Laplace Laplace’s linear programming mass mathematical modeling matrix maximize maximum entropy method minimize minimum value Model Let Modeling through Difference models in terms negative nonlinear Nonlinear Programming obtained orbit Ordinary Differential Equations parabola partial differential equation particle period planet principle of optimality problem Programming Models proportional rocket satellite satisfies second order Section Show signed graph situation solution of Eqn solve species stability string surface technique theorem theory trajectories transform unit variables vector velocity vertex vertices zero