How Did Leibniz Build His Calculus

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While he was at Nurnberg, Leibniz came into contact with one of the most well-known German statesmen of that time. His name was Johann Christian, Freiherr von Boyneburg. Boyneburg gave Leibniz a job as an assistant. Leibniz wanted to gather together all human knowledge and so he published plenty of books containing valuable information. He wanted to go to Paris so he could meet more scientist to help him learn. Boyneburg allowed him to go to Paris in 1672. Boyneburg also died in that same year, so his widow employed Leibniz. She released Leibniz in 1674.
Leibniz expanded his mathematical concepts and created calculation rules for finite differences, but was struggling to create a proper notation for his calculus all during the last couple years. Finally, on
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First, Newton wrote a letter to Leibniz but it took a long time to reach him. This letter contained results that Newton obtained but not how he resulted in them. This made Leibniz realize that he must work quicker and get his methods published before Newton does. Because the letter contained this information and Newton did not get any response for a while, Newton thought Leibniz was taking his results and making them his own. So, Newton sent another letter to Leibniz. This one seemed to be mannerly and respectful, it really accused Leibniz for stealing Newton’s work. To prove to Newton that Leibniz hasn’t really stolen his work, in his reply he explained some qualities of his own work including the rule for differentiating a function of a function.
Paris was Leibniz’s ideal home but he was not requested to stay at the academy of arts due to the fact that there were already too many people not from Paris. Instead, Johann Friedrich who was the Duke of Hanover hired him as librarian and of Court Councilor of Hanover. From then until his death, besides his trips, he lived in Hanover. Gottfried Wilhelm Leibniz died on November 14,

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