This short article shows you how to get started with TypeSrcipt.
The only thing surprise me is that TypeScript is still on beta.
I downloaded the TypeScript 1.5beta for Visual Studio 2013 from https://visualstudiogallery.msdn.microsoft.com/107f89a0-a542-4264-b0a9-eb91037cf7af and installed it. Probably you do not need to because I am not sure whether the sample work with version earlier than 1.5.
Create a TypeScript project from the Visual Studio.
Add the sample files into the solution by right click the project -> Add -> Existing Item…