Applied Laplace Transforms and Z-Transforms for Scientists and Engineers: A Computational Approach Using a Mathematica Package

Front Cover
Springer Science & Business Media, May 24, 2004 - Computers - 500 pages
1 Review
The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians. Laplace transformation methods provide easy and effective techniques for solving many problems arising in various fields of science and engineering, especially for solving differential equations. What the Laplace transformation does in the field of differential equations, the z-transformation achieves for difference equations. The two theories are parallel and have many analogies. Laplace and z transformations are also referred to as operational calculus, but this notion is also used in a more restricted sense to denote the operational calculus of Mikusinski. This book does not use the operational calculus of Mikusinski, whose approach is based on abstract algebra and is not readily accessible to engineers and scientists. The symbolic computation capability of Mathematica can now be used in favor of the Laplace and z-transformations. The first version of the Mathematica Package LaplaceAndzTransforrns developed by the author appeared ten years ago. The Package computes not only Laplace and z-transforms but also includes many routines from various domains of applications. Upon loading the Package, about one hundred and fifty new commands are added to the built-in commands of Mathematica. The code is placed in front of the already built-in code of Laplace and z-transformations of Mathematica so that built-in functions not covered by the Package remain available. The Package substantially enhances the Laplace and z-transformation facilities of Mathematica. The book is mainly designed for readers working in the field of applications.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

zTransformation
77
Laplace Transforms with the Package
115
zTransformation with the Package
153
Further Topics
215
Further Topics
287
Examples from Electricity
321
Examples from Control Engineering
351
Heat Conduction and Vibration Problems
391
Further Techniques
423
Numerical Inversion of Laplace Transforms
467
Package Commands
483
Index
497
Copyright

Other editions - View all

Common terms and phrases

References to this book

Micrometeorology
Thomas Foken
Limited preview - 2008

Bibliographic information