- #1
zezima1
- 123
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I have been reading about the legendre polynomials and how their completeness allows you to write any function as a sum of them. I have seen that used in electrostatics for the multipole expansion, which I guess is pretty nice, but here's the deal:
It seems that I am to learn more and more series representations of functions. Originally I only knew the taylor polynomials, and they were simple and easy to work with. Why is it interesting to know all these other series representations, when taylor polynomials work for every function and are so easy to work with?
It seems that I am to learn more and more series representations of functions. Originally I only knew the taylor polynomials, and they were simple and easy to work with. Why is it interesting to know all these other series representations, when taylor polynomials work for every function and are so easy to work with?