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Hello to all the professors who read this. I'm an electrical engineering undergrad student. I wanted to ask for advice on what I should learn beforehand to fully grasp the Laplace transform. I also want to know what the prerequisites for Fourier Analysis/ Fourier Series/ Fourier Transform and the prerequisites to work through "Trigonometric Series" by Zygmund. would be, now that I'm asking this question.

Any book titles are warmly welcomed. Thanks.

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    $\begingroup$ Welcome to Mathematics Educators! My first piece of advice would be to talk to the instructors who teach those topics. For instance, the Laplace transform can be studied at various levels. When I teach it in a differential equations course, the main prerequisites are calculus, complex numbers and exposure to differential equations from earlier in the course. It is used mainly as a tool. However, if you want to understand it in more depth. you would probably want to take a course in complex analysis/variables first. I recommend you edit your question to clarify what level you want to reach. $\endgroup$ – J W Sep 30 '20 at 7:28
  • $\begingroup$ the prerequisites to work through "Trigonometric Series" by Zygmund --- This is primarily a reference work, and I suspect very few people now alive have completely worked through it. ("Very few" meaning at most a few dozen, and this upper bound is probably very generous.) $\endgroup$ – Dave L Renfro Sep 30 '20 at 12:16
  • $\begingroup$ @JW Good piece of advice. I just wanted a general direction in which to proceed before learning it. That was good enough. I will study differential equations over my winter break intensively through a few books. $\endgroup$ – CalebWilliamsUIC Sep 30 '20 at 17:18
  • $\begingroup$ @DaveLRenfro I see. What would you say would be the prerequisites to at least start? $\endgroup$ – CalebWilliamsUIC Sep 30 '20 at 17:19
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    $\begingroup$ With respect to the books, it's worth taking a look at Dyke's and Schiff's titles. $\endgroup$ – Pedro Oct 1 '20 at 21:34

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