Actually I thought the title meant that this was a build that focusing on killing tanks... and then I saw Amumu, and was like, wtf? I think maybe The Slayer Tank would have made more sense. :P
Sorry I can't give any real advice as I don't know amumu at all.
Sorry I can't give any real advice as I don't know amumu at all.

Thanks to GrandMasterD for my sig!
With Amumu's W
Despair, you are dealing magic damage per % of the enemies health. It's great since you have
Bandage Toss and your ultimate to keep them near. Staying close long enough and you have a dead health stacking, magic resistance forgoing tank. :D Magic resistance might get in your way, but it'll add up in the end since you despair isn't the only form of damage you're dealing to the enemy :D His Passive also helps. Good guide. It's like a tank killing a tank, much like how Dr. Mundo's Q
Infected Bonesaw practically murders health stackers. Amumu might add up in the end since his is forever maximum health instead of current help
Edit: Err... should've put this in the comments for your guide. Oh well. I'll put it there as well.



Edit: Err... should've put this in the comments for your guide. Oh well. I'll put it there as well.
Looked at the title and assumed this was a Kog'maw build.
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Thank you for your long response ph15h. Yes, I do use Amumu to kill enemy tanks, I've been playing lately between Amumu in 5v5's and Ashe *mid/carry* and I find that I can give any of those beafy tanks a hug and drop them alone 1v1 faster than I'm able to drop them as an end-game massive carry Ashe with intense ArP. My Amumu is a very strong tank, but also a VERY strong DPS that specializes in taking out tanks, tanking, and initiating.
If anyone wants to try out the build I'd love some more feedback on my guide which is linked in the first post, thank you for your time.
If anyone wants to try out the build I'd love some more feedback on my guide which is linked in the first post, thank you for your time.
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http://www.mobafire.com/league-of-legends/build/amumu-the-tank-slayer-46190