"Mathematical Modeling, Second Edition", offers a unique approach to mathematical modeling by providing an inviting overview, and applying problem-solving methodology throughout concerning three major areas: optimization, dynamical systems, and stochastic processes. Providing a thorough revision, the author takes a practical approach toward the solution of a variety of real problems such as docking two vehicles in space, growth rate of an infectious disease, and wildlife management. Rigorous mathematical techniques required for reasonable solutions are introduced as necessary. This work provides a large collection of real-world problems. It features an integration of computer outputs from the latest versions of Mathematica, Maple, Lindo, Minitab. It presents a systematic five-step modeling method. It applies calculus, differential equations, linear algebra, and probability. New to this edition: material on discrete modeling, including integer programming; extended treatment on chaos and fractals; additional material on linear programming, including the use of spreadsheet tools; and more applications in probability and statistics.