“Cloud computing is the delivery of computing services – including servers, storage, databases, networking, software, analytics, and intelligence – over the Internet (“the cloud”) to offer faster innovation, flexible resources and economies of scale.” – Microsoft’s Azure website. The cloud just means the Internet, which just means someone else’s computer. For example, instead of running an application on your own desktop or laptop computer, you use a browser (or maybe just connect directly)

Here is a YouTube video called Cloud Computing – Introduction by Eli the Computer Guy.

There are a lot of short Azure videos over at ExamPro.