Разработайте [закрытое] учебное руководство по приложению Facebook

Here's a handful of links to tutorials that will more than likely be able to get you started:

• Facebook PHP Tutorial
• Build Your First Facebook App
• How To Build A Facebook Application
• Create a Facebook Application with PHP

In addition to having very relevant information on their own, a lot of these pages also host links to "further reading". This should provide you with plenty of material to get started. Once you begin developing and start to run into more specific questions, come on back to SO and we'll be happy to help.