Notes on the Zeros of Riemann's Zeta Function

The functional equation for Riemann’s Zeta function is studied, from which it is shown why all of the non-trivial, full-zeros of the Zeta function $\zeta (s)will only occur on the critical line {\sigma=1/2} where {s=\sigma+I \rho$}, thereby establishing the truth of Riemann’s hypothesis. Further, two relatively simple transcendental equations are obtained; the numerical solution of these equations locates all of the zeros of {$\zeta (s)$} on the critical line.