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A course in linear algebra will help, or teach yourself about matrix algebra. Many of the movements (translation, rotation, etc.) are easily done if the 3D image is captured in the form of a matrix. You can find information about matrix algebra on www.khanacademy.org.
Good luck with the gaming. The programming skill required for gaming is advanced, so be prepared for some learning to get started. The good news is that the information you need is all out there on the Internet.