Attaching a history to a full screen application widget

I think I'm missing something simple here. I haven't been able to figure out how to attach a history to a Buffer in the full screen application. I'm using a TextArea widget for the input, and it doesn't seem to support passing of a history to it, which BTW would be a wonderful feature request. I've also tried to create my own widget based on the TextArea class where I've added a history to the included Buffer, which seems to instantiate without issue, but not to activate the history. Perhaps in a full screen application I also have to add a Key.Up binding to it somehow as well?

If you are interested, my base code is at https://github.com/ControlThingsTools/ctserial

And as a second related feature request, I think it would help a lot of people to have this solution added to the examples/full-screen/calculator.py example. In fact, since you are more familiar with the calculator code, even a brief explanation of how to add history to it would help me address my own issue.

BTW, thank you very much for all the wonder examples in 2.0. I struggled in using 1.x full-screen applications and eventually settled with just using basic prompt features, but all your examples for full-screen apps in 2.0 has me migrating all of my apps from basic prompt feature to full screen features.

Start with examples/full-screen/calculator.py and the TextArea and Buffer history behavior described in the issue. Determine how a full-screen TextArea should accept and activate history, including whether a key binding is required, then demonstrate the supported usage in the calculator example. Done means the history workflow is working and clearly illustrated.