A simple example of how you can utilize the REST Search API’s in SharePoint 2013 to perform a search.
This post shows how to use jsGrid to create an excel-like gridview for editing items in a SharePoint list. The grid rendered by jqGrid is similar to SharePoint’s Datasheet view, but it requires no ActiveX control.
How REST (Representational State Transfer) can be used and also how the Client Object Model can be utilized to communicate with your External Lists and BCS Entities.
SharePoint 2013 has extended its REST offering in order to provide the external world an easy and standard way to interact with SharePoint objects.