Fourier Series Examples

  Clear[u,v,L]

  u[x_,L_,n_]:=Cos[n Pi x/L]

  ColumnForm[Table[u[x,L,k],{k,0,10}]]

  v[x_,L_,n_]:=Sin[n Pi x/L]

  ColumnForm[Table[v[x,L,k],{k,1,10}]]

Please take note: there are some very important theoretical ideas illustrated in these examples. Please take note of them as you go along!

The Delta Function

f(x)=x

f(x)=|x|

A Different Looking Sine Function

Another Example

Up to Fourier Series via Sturm-Liouville Equations