Laplace Transforms : Theory, Problems, and Solutions

Laplace Transforms : Theory, Problems, and Solutions

Dirac Delta Function and Impulse Response

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The Laplace transform is named after mathematician and astronomer Pierre-Simon Laplace, who used a similar transform in his work on probability theory. The Laplace Transform is a widely used integral transform in mathematics with many applications in science and engineering. The Laplace Transform can be interpreted as a transformation from time domain where inputs and outputs are functions of time to the frequency domain where inputs and outputs are functions of complex angular frequency.Laplace Transform methods have a key role to play in the modern approach to the analysis and design of engi...