Like i said, Mobility, and Damage are going to be your two best friends as Eve. Getting boots first allows you that extra movement you need to quickly go in, do some damage, and get out. Getting doran's ring gives you some more mana and ap to deal more damage with, and will allow you to spam your Q and E a little more. I highly recommend getting boots of mobility. They allow you to quickly get back to your lane after a death or recall. They also allow you to move swiftly through the jungle for a gank, and mid would never know you even left. deathfire grasp is a definite must as AP eve. Its special ability allows you to do 20% more magic damage when you use it one someone, causing you to have even more single target burst. Hextech gunblade, no real reason to get this just besides that its really good with death fire grasp and good with eve overall. Lich bane is another good item i recommend getting, especially nice with Hextech gunblade. Now here comes your options. If you're looking to do a little bit more damage, but not last as long, go with Guinsoo's Rageblade. If you're owning it up and want to be nearly indestructible, get Guardian Angel. Feel free to experiment with other items and find a good combo, its more about personal play style than having a set build and never win because it doesn't suit your play style. this is just a build that i wanted to share with people because its my basic build EVERY game as evelynn, and it never lets me down.