This book provides an introduction to mathematical and computational modeling as well as simulation as a universal methodology. It discusses classes of models, their derivation, and the variety of description types that can be used—discrete or continuous, deterministic or stochastic. It also focuses on how concrete simulation results can be obtained from different abstract models. Following a compact review of the necessary mathematical apparatus, the concept "From Model to Simulation" is implemented through 14 scenarios in the areas of "Games - Decisions - Planning," "Traffic on Highways and Data Highways," "Dynamic Systems," and "Physics on the Computer." Whether it is game theory or financial mathematics, traffic or control, population dynamics or chaos, molecular dynamics, continuous systems.