Newton and Leibniz's versions of calculus

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I am currently trying to research the calculus performed by both Newton and Leibniz. Specifically, their use of limits and infinite series in each of their versions.

However, I am having some trouble finding any information regarding this. I know that Newton, for example, founded his version of calculus on the concept of limits. But nowhere seems to expand on this!

So I was hoping that someone could shed some light on the topic for me or point me in the right direction.

Thanks in advance
 

Answers and Replies

  • #2
Gib Z
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First read the basic literature on the internet, such as found here: http://en.wikipedia.org/wiki/History_of_calculus .

If those are not not in enough detail or don't have an interesting writing style, you'll have to get a book. There are many on the history of calculus and analysis. A lecturer recommended to me "The Calculus Gallery: Masterpieces from Newton to Lebesgue, William Dunham", and from the excerpts I've seen, it is excellent. You can pick up a used copy on Amazon for $13. I doubt you'd find it in your local library though.
 
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If you really want to be thorough you could try reading Newton's original book on Calculus http://www.archive.org/details/methodoffluxions00newt" [Broken]. Go down to the two Scholiums for his verbal explanations, or if you're more adventurous you could try to actually understand the Lemmas and their proofs
 
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