Automated Build terminologies

Build automation is essentially automating how the software is built instead of manually invoking the compiler. This would be accomplished via tools such as Makefiles or Ant.
Deployment automation is less well-define but involves taking your built software and “deploying” or “installing” it on a test or production system.
Continuous integration means having an automated process build your software continuously as developers check in code. For example, every 15 to 30 minutes a server might wake up, look for new check-ins, and build the project if any changes were made.
Continuous delivery is a combination of CI and DA where the software builds from CI are also deployed to a test system.