My engineering faculty is having us rote-memorize Laplace transforms

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SUMMARY

Laplace transforms are essential in electrical engineering and control systems engineering, yet many students lack a rigorous understanding of the theory behind them. The discussion highlights the need for resources that provide a semi-rigorous approach to learning Laplace transforms, as traditional textbooks often assume prior knowledge. Recommendations include exploring MIT OpenCourseWare for accessible materials. A deeper grasp of the relationship between multiplication in the complex domain and convolution in the time domain is emphasized as crucial for effective application.

PREREQUISITES
  • Basic understanding of electrical engineering principles
  • Familiarity with control systems engineering concepts
  • Knowledge of complex numbers and their operations
  • Introductory calculus, particularly integration techniques
NEXT STEPS
  • Explore MIT OpenCourseWare for courses on Laplace transforms
  • Read "Linear Systems and Signals" by B.P. Lathi for a comprehensive understanding
  • Study the relationship between convolution and multiplication in the context of Laplace transforms
  • Practice solving differential equations using Laplace transforms
USEFUL FOR

Electrical engineering students, control systems engineers, and anyone seeking to deepen their understanding of Laplace transforms and their applications in engineering contexts.

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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