Complex Fourier Series Coeffcients; what are they? what do they represent? 1. The problem statement, all variables and given/known data I'm not sure if this is the right place for this but it seems appropriate. I just started an intro signals and systems course at my university at the beginning of this semester. We started Complex Fourier Series wednesday and after the lecture, I was confused about a couple of things. I took an electrical engineering math class last semester that introduced the fundamental math that EE's should know. It didn't go into too much detail but it covered the basics. My problem is in both classes, the professors introduced complex Fourier series and talked about finding the coefficients. They never said what the complex coefficients actually are or what they represent or what they are used for. Thats my question. What are the Fourier series coefficients? What do they represent and why are they important? I suppose I could mindlessly chug through the formulas but I like to understand things in their entirety. Also, if anyone can recommend some supplemental reading and exercises that really helps explain the material, it would be much appreciated. Thanks for the help.