Swift is a new programming language created by Apple as an alternative to Objective-C for iOS development. It is faster, safer, and has a cleaner syntax than Objective-C. To start developing iOS apps in Swift, developers need a Mac computer, Xcode installed, and an Apple Developer account. Key aspects of iOS app development in Swift covered in the document include prototyping apps, using Xcode, optionals and auto layout, implementing protocols like UITableViewDelegate, and using MVC architecture.