Applied Laplace Transforms and zTransforms for Scientists and Engineers: A Computational Approach using a Mathematica Package
by Urs Graf (auth.)

Persian Title: کاربردی تبدیل لاپلاس و Z تبدیل برای دانشمندان و مهندسان : یک روش محاسباتی با استفاده از یک بسته بندی ریاضیات

Summary and Info
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 ztransformation 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 ztransformations. The first version of the Mathematica Package LaplaceAndzTransforrns developed by the author appeared ten years ago. The Package computes not only Laplace and ztransforms 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 builtin commands of Mathematica. The code is placed in front of the already builtin code of Laplace and ztransformations of Mathematica so that builtin functions not covered by the Package remain available. The Package substantially enhances the Laplace and ztransformation facilities of Mathematica. The book is mainly designed for readers working in the field of applications.
More About the Author
Urs Graf (born c. 1485 in Solothurn, Switzerland; possibly died before 13 October 1528) was a Swiss Renaissance goldsmith, painter and printmaker (of woodcuts, etchings and engravings), as well as a mercenary soldier.
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