# Need help to find application of the Fourier series and Fourier Transforms!

Hi, i got a task in school, in which I shall find as many application of the Fourier series And Fourier Transforms as possible. Any suggestion?

Kindly Paul-Martin

mp3 encoding is 1 example of fourier transform

heat diffusion is the reason why fourier came up with the fourier series in the first place!

lots of applications in electronics.

fourier transform is used in quantum mechanics.

also, fourier series come up in solutions to partial differential equations like the wave equation, laplace's equation, diffusion equation, etc.

Intresting

From a Linear Algebra standpoint, truncated Fourier series are the best approximation to a function over an interval. (from a subspace defined by basis vectors sinx,cosx,...sin(nx),cos(mx).
So take the first few terms, and you have a good approximation.

K thank you!

Any more suggestions?

quasar987