Invention of calculus

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When Newton was off from school for about 2 years he invented calculus. But what were the problems that he saw his way through calculus . can you tell me some book which can tell me how he made it!

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Check out Leibniz's Monadology. Then you'll learn about some metaphysical motivations for calculus. I think that Leibniz and Newton were inspired somewhat by understanding the physical world but Leibniz is without a doubt the superior philosopher and his motivations for exploring the infinitesimal aren't limited to understanding cosmos/physical reality.

Check out the Philosophiæ Naturalis Principia Mathematica if you want to understand more about Newton and physics... Read Leibniz if you want to have some real insight.