Position of specific stars in the sky as a function of time I'm a beginner in astronomy and I'm trying to figure out how to model the positions of stars in the night sky mathematically (ie a function which spits out azimuth and altitude as a function of time). I was wondering if anyone knew of any such function, I understand it would vary with your position on earth. 

Furthermore, does anyone know anything about the mathematics of star movements, I'm trying to learn all I can. 

Thanks!
It's difficult to answer this question with any confidence, since it is so wide ranging, and the original poster has not (yet) provided any clarification.

However, it seems likely that the book "Astronomical Algorithms" by Jean Meeus, published by Willmann-Bell, will provide the answer(s).  Failing that, the publisher's website contains several other reference works on this topic. I have no affiliation with the publisher or author.

Finally, as the author of the question is a beginner, I wonder whether in fact a simple introduction to astronomy, of which there are hundreds, might be a better place to start.  Jumping in by trying to model the positions of stars looks hard, particularly as there are plenty of good applications already available, some of which are free.