In the analysis of dynamic systems, a solid understanding of the relevant physical laws is of central importance, which is comprehensively addressed in this book for mechanical, electrical, and mechatronic elements. Furthermore, the user requires a significant level of mathematical fundamentals, particularly the Laplace transformation, which has proven particularly effective in the context of simulation and analysis of technical systems. For this reason, this area of mathematics is given great priority through a wealth of examples. In the investigation of more complex systems, so-called multi-variable systems frequently arise, which are thoroughly addressed in this work using state-space methods. Finally, before the commissioning of active systems, especially control loops, their stability must be checked under all circumstances.