# Derivations of the series expansions

1. Jul 30, 2013

### Benjam:n

Are there derivations of the taylor, fourier and laurant series?

2. Jul 30, 2013

### SteamKing

Staff Emeritus
Of course. They didn't just fall out of the sky. Specifically what do you mean?

3. Jul 30, 2013

### Benjam:n

In all three cases I know how if you accept that they can be written in that form (I.e. as power series or infinite series of the sines and cosines), then you can derive the coefficients using cleverly picked transformations, i.e. differentiation, the fourier transforms or Cauchy integral formula trick. What I don't know is how you derive the original bit.

4. Jul 30, 2013

### SteamKing

Staff Emeritus