While not something to read, I really enjoy GDC classic game postmortems. One of my favourites is Populous. [1] I find it fascinating how such a successful game came out of experimentation without a real plan ahead of time.
https://www.youtube.com/watch?v=CjE4JyfMVLc
Also for Fallout fans (the first game): (EDIT: unrelated to Prince of Persia, I just like Fallout) https://www.youtube.com/watch?v=T2OxO-4YLRk