Application security
The sum of all the places where an outsider could try to get into a system, send data into it or pull data out.
Formal
The set of all points at which a system can be reached or acted on from outside its trust boundary - open ports, web pages and APIs, user accounts, stored data, the people who run it and the suppliers it depends on.
In plain English
Like counting every door, window, hatch and mail slot in a house - each one is a place a burglar could try, whether or not it is locked.
In practice
An IT operations manager at a water utility checks what it exposes to the internet and finds an old test website, a forgotten file server and three admin accounts nobody uses; shutting them down shrinks the attack surface.
Why it matters
Every extra way in is one more thing to watch and patch, and attackers need to find only the one that was missed; a smaller surface leaves fewer places for weaknesses to hide.