Reddit mentions of The Beginnings of Western Science: The European Scientific Tradition in Philosophical, Religious, and Institutional Context, 600 B.C. to A.D. 1450

I was just asked this the other day by an incoming graduate student. It's really hard -- textbooks are a real hassle. For history, the best book I know, though it's limited in scope, is David Lindberg's The Beginnings of Western Science. It runs up through 1450. After that, you have trouble -- you have to start looking at individual figures or periods. H.F. Cohen's The Scientific Revolution is nice for its period. Then you get really fragmented. The Cambridge Studies in the History of Science series (1 2 3) is really nice for what it covers, if its topics interest you.

For PoS, again, textbooks are hard. I like the Curd and Cover anthology, it's got lots of primary readings with good explanatory material (dt already recommended that one, I see -- I didn't realize it because I've never referred to it by title...). Rosenberg's Routledge Introduction also seems pretty good, though I should warn that I've never read it, I'm going on brief skims and what I know of the author's other stuff (which is great).

Good luck! You can always come back here to ask questions!