Breakfast does a couple of things for us. First, it gives us the fuel we need first thing in the morning in order to function properly. There have been many studies on children demonstrating improved focus in the classroom when breakfast is consumed regularly.
The second reason is that it boosts our metabolism. When we wake up first thing in the morning, our body is in a fasted state (at least I hope you weren't up all night sleep eating). The body typically gives you about an hour to find food. After that, your metabolism starts to drop, in order to conserve energy, making your body less efficient at burning what you eat.
On top of that, it has been shown that people will often consume more calories in their lunch if they skip breakfast then the total calories they would have consumed if they had a breakfast AND a lunch. Your body goes past that point of a little hungry to ravenous and that is when you over eat.
Let me put it to you another way. Sumo wrestlers traditionally skip breakfast a few weeks before tournaments in order to put weight on quickly.
You might say you are just not hungry in the morning, but I promise you your body is. Years of meal skipping and probably consuming coffee only (an appetite suppressor) has made your body stop bothering to tell you. It's like the house is still on fire and the batteries in the smoke alarm have worn out. If you start small and commit yourself to eating every day, you will develop an appetite.
So unless you enjoy thinking at half capacity or have plans to take on a Yokozuna in the near future, may I suggest having something to eat with your coffee in the morning?