The book presents theory and applications of Laplace and z-transforms together with a Mathematica package developed by the author. The package substantially enhances the built-in Laplace and z-transforms facilities of Mathematica. The emphasis lies on the computational and applied side, particularly in the fields of control engineering, electrical engineering, mechanics (heat conduction, diffusion, vibrations). Many worked out examples from engineering and sciences illustrate the applicability of the theory and the usage of the package.
The book presents theory and applications of Laplace and z-transforms together with a Mathematica package developed by the author. The package subs...
This textbook is about generalized functions and some of their integral tra- forms in one variable. It is based on the approach introduced by the Japanese mathematician Mikio Sato. We mention this because the term hyperfunction that Sato has given to his generalization of the concept of function is sometimes used today to denote generalized functions based on other approaches (distributions, Mikusinski s operators etc. ). I have written this book because I am delighted by the intuitive idea behind Sato s approach which uses the classical complex fu- tion theory to generalize the notion of...
This textbook is about generalized functions and some of their integral tra- forms in one variable. It is based on the approach introduced by the Japa...
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...
The theory of Laplace transformation is an important part of the mathematical background required for engineers, physicists and mathematicians. Laplac...
