Where can I find the proof of this Ramanujan result? I'm searching for a proof of one impressive Ramanujan result. Not one in particular, the only request I have is to be really impressive.
For example
$$
\sqrt{\phi+2}-\phi=\frac{e^{-2\pi/5}}{1+\frac{e^{-2\pi}}{1+\frac{e^{-4\pi}}{1+\cdots}}}
$$
where $\phi=\frac{1+\sqrt5}{2}$.
Or maybe
$$
\frac1{\pi}=\frac{2\sqrt2}{9801}\sum_{n=0}^{+\infty}\frac{(4n)!(1103+26390n)}{(n!)^4396^{4n}}\;.
$$
Can someone suggest me a precise reference where to find such a proof?
Thank you all

The series for $1/\pi$ is proved in J. M. Borwein and P. B. Borwein, Pi and the AGM; A Study in Analytic Number Theory and Computational Complexity, Wiley, New York, 1987. 
See also Motivation for Ramanujan's mysterious $\pi$ formula
