I have the same problem. I talked to a Genius at an Apple Store and he ran a test that showed I was running out of memory. I completely restored the iPad, then ran it with only one app open, the app store. After a while it crashed again! Like yours mine also crashes on other apps including safari and the New York Times.
I have tried a number of apps that show the processes and the memory that they are using, but they seem of little use as you can only look at them when their app is running. I need something that will run in the background and show what happens when one of the apps crashes.
Does anyone know of an app that will test the hardware memory? Perhaps a memory chip is bad, although that seems unlikely to me.
Any other suggestions?