Fourier analysis prerequisites and lecture notes I want to know what the prerequisites are for fully grasping Fourier analysis, and some free pdfs and such to help me with it (no videos, actual paper I can print and read/ make exercises at school).
I am asking this because I remember that I asked my math teacher when I was 13 what the prereqs were for linear algebra and he gave me a really intimidating list involving advanced calculus and such, and I decided to just continue playing video games. Then last year (at 16) I decided I was competent enough at Halo and I just started doing linear algebra and it was really easy; I didn't need anything advanced at all, and anything I needed I just learned along the way. My teacher basically misinformed me. 
So, will I need calculus? For some reason I dread having the selfstudy calculus, everything I already know about it bores me and it is just so much. 
 A: Here you have the link to MIT open courseware on Fourier Series. There is lots of material.
But as it has been mentioned you need Calculus. And to understand properly what you are doing you need also Real Analysis.
MIT FOURIER
A: You'll need Single Variable Calculus and be comfortable working with sums, infinite and finite.
Here are some lecture notes from one of my professors that may be of use to you.
A: You would need Calculus, Series/Sequences and Complex analysis. Now, i am more familiar with numerical methods (numerical integration, numerical differentiation, numerical analaysis of sequences and series, computational complex nalysis etc), so i tend more towards the computational aspects of a type of fourier transform called "Discrete fourier Transform". It's really cool, tbh alll i've needed to help me learn it was just numerical methods really. Now, obviously if you want to delve deeper you will need much more analysis rather than numerical methods. But I am just more interested in applying stuff and computing them...since im a computer science student I enjoy comouting things more. 
