I’m a participant in the Amazon Associates program. Click on any of the following books to purchase it on Amazon. In each section I’ve listed books in the order I think is the best or most important reading.
To learn about ancient science, the very best places to start are these:
For specific sciences, Routledge has an excellent Sciences in Antiquity Series, which so far includes:
And for other exciting angles to pursue, these are all fascinating or useful: