How to mount my iPhone on my computer?

Mount my iphone without iTunes

You'll need some sort of software to use your phone on the computer. I can understand your reluctance to go anywhere near iTunes, especially if you're a Windows or Linux PC user. Have a look at http://www.howtogeek.com/howto/29716/heres-five-alternatives-to-itunes-10-for-easily-managing-your-ipod/ for some alternatives.