Hilbert Space versus Banach Space?

Im confused on some definitions. So apparently there are sets with a metric that are called metric spaces...if these are furthermore vector spaces armed with an inner product as their metric, and they are complete (cauchy sequences converge in the space) then they are hilbert spaces ? But a Banach space is a complete normed vector spaces...this sounds exactly like what a hilbert space is..help clarifying these concepts for me ?