Newtonian mechanics and calculus, looking for a good intro book to both together

Question

I am looking for a book on Newtonian mechanics which is very careful to explain why, where and how you need to use calculus to develop physics. Or even, a book which introduce basic notion and propositions of calculus in terms of the latter being necessary to develop Newtonian mechanics.

My interest is partly pedagogical partly philosophical, and I would like to read something with all the subtle points well explained, and as self contained as possble.

Indeed, maybe I am looking to an essays on how to write such kind of book.

Answer 1

Principia. Anything else is just someone else's version. How am I the first to suggest this?

D'alembert also wrote a decent primer.