Modeling and Simulation : An Application Oriented Introduction This book provides an introduction to mathematical and computer oriented modeling and to simulation as a universal methodology. It therefore addresses various model classes and their derivations. And it demonstrates the diversity of approaches that can be taken: be it discrete or continuous deterministic or stochastic. A common underlying theme throughout the book are the means in which one obtains practical simulation results from these different abstract models. Subsequent to a brief review of the mathematical tools that are required the concept of the simulation pipeline from model derivation to the simulation is applied to 14 example scenarios from diverse fields such as Game theory deciding planning Traffic on highways and data highways Dynamical systems and Physics in the computer . Whether it is game theory or mathematical finance traffic or control theory population dynamics or chaos or molecular dynamics continuum mechanics or computer graphics the reader gains insight into the world of simulation in a descriptive yet systematic way 1 Introduction 2 The necessary instruments in brief Part I Playing deciding planning: A modeling warm up 3 Game theory 4 Group decisions 5 Schedules 6 Wiener processes Part II Traffic on highways and data highways: A trip through the simulation pipeline 7 Macroscopic simulation of traffic 8 Microscopic simulation of traffic 9 Stochastic traffic simulations Part III Dynamic systems: Cause effect and interaction 10 Population dynamics 11 Controllers 12 Chaos theory Part IV Physics on the computer: The switch to number crunchers 13 Molecular dynamics 14 Thermal conduction 15 Fluid mechanics 16 Global illumination in computer graphics Closing remarks Bibliography Index