I am writing a very simple 3d particle software rendering system, but I am only really interested in coding the particle system and the rasterizer, so what I am looking for, is the easiest way to go from 3d particle coordinates, through camera, to screen coordinates, but with features like variable FOV, and targeted (look at) camera.
Any additional features such as distance from point to point, bounding volumes etc. would be a bonus, but ease of use is more important to me than features.
The only license requirement is that it's free (as in beer).