Business Data Catalog - Using the BDC Object Model
There are a few good MSDN entries with samples on using the Business Data Catalog, aka the ApplicationRegistry namespace.
BDC
http://msdn.microsoft.com/en-us/library/ms563661.aspx
BDC - Using the runtime object model
http://msdn.microsoft.com/en-us/library/ms568510.aspx
BDC - Get a LobSystem and an Entity
http://msdn.microsoft.com/en-us/library/ms501019.aspx
BDC - Executing a Finder to retrieve a collection
http://msdn.microsoft.com/en-us/library/ms560143.aspx
BDC - Executing a SpecificFinder to retrieve an item in a collection
http://msdn.microsoft.com/en-us/library/ms545953.aspx
BDC - Call a method on an entity
http://msdn.microsoft.com/en-us/library/ms559510.aspx
BDC - Building a BDC Search Web Part
http://msdn.microsoft.com/en-us/library/ms558854.aspx
SDK
http://msdn.microsoft.com/en-us/library/microsoft.office.server.applicationregistry.runtime.aspx
Some parts of the SDK are incomplete, but this part is about done and it’s the main one to use.