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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.

517.4 --- Functional determinants. Integral transforms. Operational calculus --- Laplace transformation --- Transformations (Mathematics) --- Z transformation. --- Laplace transformation. --- Transformations (Mathematics). --- 517.4 Functional determinants. Integral transforms. Operational calculus --- Z transformation --- Transformation, Z --- Algorithms --- Differential invariants --- Geometry, Differential --- Transformation, Laplace --- Calculus, Operational --- Differential equations --- Functional analysis. --- Computer science—Mathematics. --- Integral transforms. --- Operational calculus. --- Computer mathematics. --- Functional Analysis. --- Symbolic and Algebraic Manipulation. --- Integral Transforms, Operational Calculus. --- Computational Mathematics and Numerical Analysis. --- Computer mathematics --- Electronic data processing --- Mathematics --- Operational calculus --- Electric circuits --- Integral equations --- Transform calculus --- Functional calculus --- Calculus of variations --- Functional equations