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Applied Laplace Transforms and z-Transforms for Scientists and Engineers - A Computational Approach using a Mathematica Package (Mixed media product, 2004 ed.)
Loot Price: R1,668
Discovery Miles 16 680
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Applied Laplace Transforms and z-Transforms for Scientists and Engineers - A Computational Approach using a Mathematica Package (Mixed media product, 2004 ed.)
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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.
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