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## Summary:

- Claim : "A periodic function ##f(u)## satisfying ##\int_{0}^{1}f(u)du=0## can generally expanded into a Fourier Series: ##f(u)=\sum_{m=1}^{\infty} [a_m \sin{(2\pi mu)}+b_m\cos{(2\pi mu)}]## "

## Main Question or Discussion Point

This is written on Greiner's Classical Mechanics when solving a Tautochrone problem.

Firstly,I don’t understand why we didn’t use the term ##m=0##

and Sencondly, how the integrand helps us to fulfill the Dirichlet conditions. That means,how do we know that the period is 1?Thanks

Firstly,I don’t understand why we didn’t use the term ##m=0##

and Sencondly, how the integrand helps us to fulfill the Dirichlet conditions. That means,how do we know that the period is 1?Thanks

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