I have a project for anyone who KNOWS they can do this.
I have a wordpress website installed in the root and the magento site installed into a sub-directory of the site. For the right person this can be very simple integration. All I want to have is the product/checkout functionality within my wordpress website, specifically on one page of the website. This means I don't ever want the user/customer to be redirected out of the wordpress site and onto the magento site. As well as have 'my account', 'login' buttons on the top of the header from Magento onto my Wordpress header. Again, without ever having the user/customer go onto magento for any reason.