The book presents theory and applications of Laplace and z-transforms together with a Mathematica package developed by the author. The package substantially enhances the built-in Laplace and z-transforms facilities of Mathematica. The emphasis lies on the computational and applied side, particularly in the fields of control engineering, electrical engineering, mechanics (heat conduction, diffusion, vibrations). Many worked out examples from engineering and sciences illustrate the applicability of the theory and the usage of the package.

Written for:
Graduate students, teachers and researchers in applied sciences, control theory, mechanics, engineers, physicists, practitioners

• Laplace Transformation
• z-Transformation
• Laplace Transforms with the Package
• z-Transforms with the Package
• Applications to Automatic Control
• Laplace Transformation: Further Topics
• z-Transformation: Further Topics
• Examples from Electricity
• Examples from Control Engineering
• Heat Conduction and Vibration Problems
• Further Techniques
• Numerical Inversion of the Laplace Transform
• Appendix: Package Commands