# What's Fourier Analysis?

Success
Is this college or graduate math? Is it pure or applied math? Is it useful for physics and electrical engineering?

Homework Helper
All of the above.

You can understand the basics of what it means and how to use it for some practical applications with very little maths (i.e. high school level), if you are happy to use computer software to crunch the numbers for you.

At the other end of the scale, Springer publish the Journal of Fourier Analysis and Applications, for new research papers.

A random selection of applications for it are image processing, signal processing, data compression (e.g. MP3 audio and and JPG video), and advanced methods for solving ODEs and PDEs.

Gold Member
All undergrad electrical engineers take a course (or set of courses) on "signals and systems" that is essentially applied Fourier analysis, both in discrete time, continuous time, etc., along with related tools like Laplace and Z transforms. You will find it used in a large percentage of EE disciplines - signal processing, communications, electromagnetics, etc. It is hard to underestimate its importance for EE. It is also a lot of fun. I use Fourier analysis almost every day in my work (I am an EE). My EE courses carefully stated all the convergence theorems, but did not prove them; at that level all you really need is calculus to understand Fourier. Proving the convergence theorems is another story altogether, though.

jason

edit: linear algebra is also helpful for understanding Fourier - it was a prereq. for our signals class and the ideas from linear algebra are natural to use to think about fourier series, both in continuous and discrete time.

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