BK:
Composition can be a dramatic or a subtle expression of how you view the world. But there are some things that can help the viewer. I teach a photography class for adults and this is one of the early things we discuss. Instead of the texts of someone else, I wrote up a series of them to help my class. Here is a link to a site you can go to and download a PDF file on the subject of composition:
http://www.dcdadvancedtech.com/photo1/composition.pdf
It is simple and straight forward, and short, to help kick start people's mind into thinking about composing the shot. Many times we may think we do not have the time to compose the shot well, when in fact, a slight shift in any direction can make a big difference. And a zoom CAN help incredibly when composing the shot. You may not be able or want to move in or out yourself, but if used properly, a zoom can help get the composition you were looking for.
And yes, look at other photographers work but after you learn some of the basics of composition. You can figure out what they did maybe!
Good luck and please have fun!