Microsoft XNA Game Studio 4.0 is a programming environment that allows you to use Visual Studio to create games for Windows Phone, Xbox 360, and Windows. XNA Game Studio includes the XNA Framework, a set of managed libraries designed for game development based on the Microsoft .NET Framework. (msdn.microsoft.com)

MonoGame is an Open Source implementation of the Microsoft XNA 4 Framework. Our goal is to allow XNA developers on Xbox 360, Windows and Windows Phone to port their games to the iOS, Android, Mac OS X, Linux and Windows 8 Metro. PlayStation Mobile, Raspberry PI, and PlayStation 4 platforms are currently in progress. (MonoGame.net)

The DigitalRune Engine supports XNA and MonoGame in several ways:

• DigitalRune Mathematics contains helper methods to convert types from/to XNA types (e.g. DigitalRune Vector3F to XNA Vector3).
• Several DigitalRune libraries provide special DLLs for the XNA content pipeline.

Some DigitalRune libraries require XNA or MonoGame:

• DigitalRune Graphics requires XNA/MonoGame to render 2D and 3D graphics.
• DigitalRune Game UI requires XNA/MonoGame to read input devices and to render 2D graphics.

• XNA Education Catalog
• MonoGame
• XNA Class Diagrams