Chapter 2 of Astronomy through the telescope : Dates and Destinies gives a wonderfully interesting historical account of western astronomy. I recommend reading it. I also liked the pictures and explanation of the instruments of the time.
I am not going to tell that story in this blog. Western history of anything is plentifully documented in English.
History of Indian Science is never included in the Modern English textbooks for reasons from ignorance to prejudice to the fact it is all in sanskrit and is being worked out by various people in various angles. Most Indians are still in disagreement for various reasons from political to personal.
I think History of Ancient Indian Knowledge is the need of the hour.