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This interdisciplinary guide explores various types of modeling methods available for dynamical systems. It begins with the general concepts, representations, and philosophy of dynamic models, followed by a section on modeling methodologies that explains how to portray designed models on a computer. After addressing scale, heterogeneity, and composition issues, the handbook covers specific model types that are often characterized by specific visual- or text-based grammars. It concludes with case studies that employ Modelica and Simulink® to construct, simulate, and analyze dynamic models. Each chapter includes mathematical descriptions, pseudocode, and diagrams.