Advanced Problem Solving Using Maple

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This text explores the mathematical modeling process through formulation, construction, solution, analysis, and critique of models, emphasizing discrete dynamical systems and optimization techniques. It covers single-variable unconstrained optimization, numerical search methods, and extends to multivariable unconstrained and constrained techniques. Key topics include linear algebra applications like the Leontief model, advanced regression methods such as nonlinear, logistic, and Poisson regression, as well as game theory concepts like Nash equilibrium and arbitration. The book features case studies and projects that engage students in real-world problem solving and emphasizes numerical solution techniques in dynamical systems, optimization, and numerical analysis. It presents algorithmic and iterative numerical procedures, utilizing Maple as a computational tool, with step-by-step algorithms provided for clarity. The authors include William P. Fox, an emeritus professor with extensive publications and experience in defense analysis and mathematics education, and William C. Bauldry, a professor emeritus with a focus on pedagogy and technology in mathematics, who has led NSF-funded projects and serves as Associate Director of COMAP's Math Contest in Modeling.