Any computer that has a FX-series video card by nVidia or FireGL by ATI will be ideal for video editing.
I would buy the Dell Vostro 430 mini tower. It has a lot of power and speed performance.
The 27" iMac is excellent for graphic design. The ultimate would be the Mac Pro paired with a 27" LED Mac Monitor.
The best degree to pursue if you want to become a video game designer would be a degree in graphic design. A graphic design in computers will help you design images on a computer.
Samsung monitors are great for graphic design owing to their great color reproduction.
The HP workstations will work great for graphic design in education, but any workstation will be adequate.
Hp would prolly suit your needs best.
There is no specific HP computer that is deemed best for graphic design but it is advisable to go for the HP PCs with the ample processing power, RAM and graphics capabilities required to handle the graphic design software. An example is the HP Pavilion 500-314 desktop.
Making them on the computer would be the best idea. Their are other ways like sketching but I suggest that you make it with a computer though
Creative freedom/expression
Your best option for a graphic design training school is online. I would suggest trying out the courses at University of Phoenix.
The best way to find free graphic design magazines is to search you app store for "free graphic design magazines".
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According to reviews given by users, some of the best graphic design books available are titled Making and Breaking the Grid, The Elements of Graphic Design, Thinking With Type, and How to Become a Graphic Designer Without Losing Your Soul.