What to study if I want to learn more about time?

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Hi, I have been very interested in the topic of time for a few years of my life thus far. I haven't been able to actually study it because, according to a physics and cosmology professor, it isn't really that well understood even up to today. Can anyone direct me a book or website that gives the details and equations behind time. I would like to strengthen my understanding of it and, perhaps, make it my field of research during my undergradute and graduate years. I am hoping to possible make some contributions to it as well. Thank you!
 
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I would consider studying Philosophy, its an abstract concept which doesn't really have a empirical answer.
 
Thank you for the suggestions. I will look into all your answers especially Dr. Who.
 
As for why there is an arrow of time (why yesterday is different than tomorrow), look up statistical mechanics (more specfically Boltzmann entropy). Roger Penrose gives a good explanation in his book Road to Reality.