Basic single-user login

This is a basic secure login script for single-user purposes for things like accessing administrator protected areas, etc. It consists of 2 PHP files: index.php, which is what contains the user-name and password form, and login.php, which checks if the user-name and password are correct. I also made it if the password is right but the user-name isn't, then it will say the user-name is invalid, and if the password is wrong but the user-name is right, it will say the password is invalid, and if the user-name and password are both wrong, it says the user-name and password were both invalid. This is for beginner PHP programmers. Also if your wondering what the N3RDWARE News thing is about, it's because I was using this for my news posting script, but decided I would take the login script out and post it here to make a small come-back in the PHP world. This is my first PHP submission in 2 or 3 years here on Planet Source Code! Please don't leave feedback about things like there's already enough of these type things on here and we don't need anymore, and things of that nature. I would appreciate posetive and useful feedback only please. Good-luck to you beginners out there!