Wish I understood calculus as well as you obviously do. I guess the one thing I'd add is that it was a far broader art than just for maths. The classroom today

Wish I understood calculus as well as you obviously do. I guess the one thing I'd add is that it was a far broader art than just for maths. The classroom today would be pretty surprised to hear how its continuous with metaphysics too. Regarding Leibniz/Newton, not exactly the case that it divided on national lines, because the lines didn't exist in the same way as today. He worked as archivist for the Elector of Hanover George Ludwig, who would be brought over to the UK to become King George I towards the end of Leibniz's life. To Leibniz's consternation, George I would leave him behind in Hanover, where he would die. Lots of theories about why this was the case, but one reason is that Newton and his supporters via the Royal Academy ensured he wouldn't be brought over. Their spat (with Clarke as Newton's mouthpiece) was in the general context of that, hence its rancorous tone. Norbert Wiener at least considered the two centuries of suppression of Leibniz and his calculus and its superior notation in Britain to have held back the British and American sciences.