Applied Laplace Transforms and z-Transforms for Scientists and Engineers

Beschreibung

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 firstversion 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.
Clear introduction to Laplace- and z-transforms together with some advanced subjects related to applications A Mathematica package for computing Laplace- and z-transforms, including numerical inversion of Laplace transforms Textbook and work-book for applications in the field of control, electrical and mechanical engineering Accompanying CD contains the software package and many examples Includes supplementary material: sn.pub/extras

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

Students, instructors, practical engineers and researchers working in the field of control, electricity or mechanics will find this textbook a most valuable resource and will profit from the package and further examples and Mathematica notebooks on the included CD-ROM.

Autor*in

Urs Graf

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“This book is a very good tool for scientists and engineers that work in the fields of applications, especially on practical problems leading to ordinary differential equations which could be solved through Laplace transformation.”(ZENTRALBLATT MATH)

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