Applied Laplace Transforms and z-Transforms for Scientists and Engineers [electronic resource] : a Computational Approach using a Mathematica Package

Applied Laplace Transforms and z-Transforms for Scientists and Engineers: A Computational Approach using a
Author: Urs Graf
Published by Birkhäuser Basel
ISBN: 978-3-0348-9593-4
DOI: 10.1007/978-3-0348-7846-3

Table of Contents:

• Laplace Transformation
• z-Transformation
• Laplace Transforms with the Package
• z-Transformation 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 Laplace Transforms

Preface -- 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 by Subjects -- Bibliography
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