dsp3 and sp3d hybridization — what is the difference and which applies to square pyramidal?

What is the difference between $\mathrm{dsp^3}$ and $\mathrm{sp^3d}$ hybridization?Are they one in the same?

Also, I have a book that says that in compounds where the central atom is $\mathrm{dsp^3}$ hybridized, it's shape is square pyramidal, like that of $\ce{BrF5},$ but the hybridization of $\ce{Br}$ in $\ce{BrF5}$ is $\mathrm{sp^3d^2}.$ Why is it so? Is my book wrong or am I missing something?