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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according amount applied arise assume balanced becomes boundary Calculus called components consider constant continuous corresponding cost curve depends determine Difference Equations differential equation directed Discuss distribution Dynamics Earth edges elements energy entropy equal equation models equilibrium estimate EXERCISE expected Figure fixed fluid force function functional equation given gives glucose graph growth increases independent initial integral interval investment known limit linear mass mathematical modeling matrix maximize maximum method minimize minimum value motion moves negative nonlinear obtained optimal Ordinary Differential Equations partial differential equation particle period persons planet population positive potential principle probability problem programming proportional relation represented respectively result satisfies Science Show situation solution solve species stability surface technique theory transform unit variables variations vector velocity vertex vertices volume York zero