Fourier analysis - prerequisites

AI Thread Summary
Fourier analysis is typically encountered by students in courses like Partial Differential Equations for math majors and Circuit Analysis II or Systems and Signals for electrical engineering majors. A solid understanding of calculus and linear algebra is essential, along with integration skills and familiarity with complex numbers and trigonometric functions. For those looking to delve deeper into the theoretical aspects, courses in real analysis and functional analysis are recommended. Students with a background in economics may need to strengthen their knowledge of complex numbers and trigonometry to effectively apply Fourier analysis techniques. Resources for further study in these areas are sought after to enhance understanding and application skills.
conjectures
Messages
2
Reaction score
0
I was wondering at what point most students encounter Fourier analysis and what the prerequisites are considered to be?
 
Physics news on Phys.org
I'd say you have to know calculus and linear algebra fairly well. With that knowledge, you can already do quite a bit of Fourier analysis.

If you want to do more theoretical things, then following a course in real analysis and functional analysis seems necessary.
 
Most students (at my school) encounter Fourier Analysis in Partial Differential Equations if they are math majors and Circuit Analysis II (with more use in a Systems and Signals course) if they are EE majors.

To use the techniques from Fourier Analysis, you need integration as well as a good working knowledge of complex numbers and trigonometric functions. Understanding it requires Linear Algebra.

Thats as far as I know. This is coming from a EE who just took linear algebra.
 
Thanks for the replies.

I suspect it's the complex numbers / trigonometry that I should be working on further. Any recommended resources?

My background is primarily economics so have some [perhaps passable] calculus and linear algebra.

I'm at one of those points where I feel I get/can follow something, but not deeply enough to replicate independently in an applied context.
 
TL;DR Summary: I want to do a PhD in applied math but I hate group theory, is this a big problem? Hello, I am a second-year math and physics double major with a minor in data science. I just finished group theory (today actually), and it was my least favorite class in all of university so far. It doesn't interest me, and I am also very bad at it compared to other math courses I have done. The other courses I have done are calculus I-III, ODEs, Linear Algebra, and Prob/Stats. Is it a...
Yesterday, 9/5/2025, when I was surfing, I found an article The Schwarzschild solution contains three problems, which can be easily solved - Journal of King Saud University - Science ABUNDANCE ESTIMATION IN AN ARID ENVIRONMENT https://jksus.org/the-schwarzschild-solution-contains-three-problems-which-can-be-easily-solved/ that has the derivation of a line element as a corrected version of the Schwarzschild solution to Einstein’s field equation. This article's date received is 2022-11-15...
Back
Top