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CDTOE

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I just want to ask about the importance of Complex numbers analysis in the discipline of Electronics and Communications Engineering. I'm taking a course called, Analytical Methods in Engineering, and it's mostly focused on how to deal with complex numbers, from applying algebraic operations on them, to Cauchy–Riemann differential equations and so on.

The problem is, the teacher of the course isn't capable of organizing himself to send the information clearly. Also, he teaches the course in a pure mathematics way, which means that he's not interested in providing calculations example, instead he rather to give proofs and verifications of established laws in the course. The result is, the course has become tedious and confusing for us, engineering students.

I have yet to take any course related to communications, not even Electromagnetic waves, so here I come to ask, how much do I really need to know about complex analysis to be able to perform very good in communication courses, and to be able to design communication systems?

Any recommended books on complex analysis for electrical engineers?

Thanks