How to make address bar show just my domain without ".wordpress"???

I’m not even sure if this is the right place to ask, but I’m super confused. Truth is, I have no web building experience, so any help is very much appreciated!

I just started a blog (http://brulosophy.wordpress.com) then decided to purchase the domain name, brulosophy.com, from namecheap. I then paid for the Domain Mapping upgrade, changed the required settings at Namecheap, and now when someone types in “brulsophy.com” they are redirected to “brulosophy.wordpress.com,” which is what shows in the address bar.

All I want is for the address bar to say just “brulosophy.com” while showing the content of “brulosophy.wordpress.com.” I’ve tried making the former my Primary Domain, but when I do and type in the address, it seems to create a continuous “redirecting” loop.

I’m so lost… any help would be very much appreciated!