Question

how are fourier transform and fourier series different?

Answer 1

If you google it, a bunch of stuff comes up! ^_^
Love, Tyto, the little sis who can't help you on math because she needs a tutor.

Answer 2

doesnt series bring up something akin to a taylor represenation? while a transform is used to solve problems?

Answer 3

yes, one is representation while other is transform; so I guess my question are they connected

Answer 4

that one i cant verify; havent tried doing a transform yet.

Answer 5

Might want to check http://math.stackexchange.com/questions/7301/connection-between-fourier-transform-and-taylor-series and take a close look at Qiaochu Yuan's answer. :-)

Answer 6

Albeit it's meant for taylor series against fourier transforms, it's an interesting asnwer that may give some insight for you.

Answer 7

thanks bmp

Answer 8

thanks amisre

Answer 9

More generally, I think you can say that the Fourier series is an expression of a pattern (periodicity) (such as an electrical waveform or signal) in terms of a group of waves of different frequencies and amplitude (more specifically, sine and cosine waves). This is the frequency domain, while the Fourier transform is the process used to convert from time domain, i.e., voltage samples over time, to the frequency domain, which you see on a graphic equalizer or spectrum analyzer. Which implies that the inverse Fourier transform converts the frequency domain results back to time domain.

Answer 10

But I am still taking baby steps on this kind of stuff, so I am a bit unsure. Anyway, glad to help :-)