File:New TypeScript project

Because that's where I'm going to start.
Refactor / Rename greeter class

Tooling is awesome
Reference jQuery

Add NuGet references for jquery, and jQuery types.
Include jQuery in default.htm
Use JQuery to create the initial problem

And switch the script loading error so that it works correctly.
Build the Addition problem logic.

Note that HTML Element types are implicitly typed based on the string
used for the element.
Also note that jQuery templates are not installed.
Add jQuery Templates, and make that code work

Notice that left and right now have to be members of the Addition
Problem.
Note that the build problems still exist.
Add simplified typing information for templating

If this was a real project, this would be in its own project.