My engineering faculty is having us rote-memorize Laplace transforms

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Laplace transforms are essential in electrical and control systems engineering, but the current educational approach lacks rigorous theoretical grounding. The user expresses a desire to understand the theory behind Laplace transforms rather than just rote memorization. Recommendations for resources, such as websites or books that provide a semi-rigorous understanding, are sought. The user acknowledges the complexity of the topic but wishes to gain a better grasp of its applications. Engaging with more comprehensive materials could enhance their proficiency in using Laplace transforms effectively.
tamtam402
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Hi,

Laplace transforms are a fundamental tool in electrical engineering and control systems engineering. Unfortunately my University is having us read books that use Laplace Transforms, but I've never learned the theory rigorously! For example the book I'm currently reading state briefly that "A multiplication in the complex domain is a convolution in the time domain, thus Y(s) = G(s)X(s) = ... etc.".

I'm a curious person and I would much rather learn the theory of Laplace Transforms in a semi-rigorous way.

Does anyone have a great website or book to recommend? I know I cannot get into the intricate details like a pure mathematician would, but it would be nice to learn more about this since I feel like I have been given a power tool without the proper training to use it.

Thanks in advance!
 
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a quick google search yielded many references, including a few articles and even videos from MIT Open Courseware here.
 

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