What is mathematical modeling? -- Dimensional analysis -- Scale -- Approximating and validating models -- Exponential growth and decay -- Traffic flow models -- Modeling free vibration -- Applying vibration models -- Optimization : what is the best--?
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"Principles of Mathematical Modeling, Second Edition, begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools (dimensional analysis, scaling techniques, and approximation and validation techniques)." "It then applies these foundational tools to a broad variety of subjects in fields ranging from biology to economics; including traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. The author has expanded these chapters and reordered them to reflect a gradual-step approach with increased complexity."--Jacket