Applied laplace transforms and z-transforms for scientists and engineers download

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Video Audio icon An illustration of an audio speaker. Audio Software icon An illustration of a 3. Software Images icon An illustration of two photographs. Laplace Transformation: Further Topics. Examples from Electricity. Examples from Control Engineering. Heat Conduction and Vibration Problems. Further Techniques. Numerical Inversion of Laplace Transforms.

Pages E1-E1. Back Matter Pages About this book Introduction 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. 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.