The Calculus According to Leibniz
Figure by Zita/Shutterstock.com

The Calculus According to Leibniz

How Leibniz Derived the Famous Formula for Integration by Parts

Gottfried Wilhelm Leibniz was the quintessential polymath. He made essential contributions to philosophy (logic and metaphysics), mathematics (he was a co-inventor of the calculus), linguistics, theology, engineering, law, computer science, and many other disciplines. Leibniz once remarked that he often needed to use a substantial part of his week to document the thoughts of just a single morning! 

"When one compares the talents one has with those of a Leibniz, one is tempted to throw away one's books and go die quietly in the dark of some forgotten corner," wrote the philosopher Diderot. 

In this article, I describe how Leibniz derived the famous formula of integration by parts and also other innovations of his version of the infinitesimal calculus.

Below (left) is a picture of his working space in his residence in Hannover. On the right is a statue of Leibniz (without the wig!).

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The link to the article is below:

https://towardsdatascience.com/the-calculus-according-to-leibniz-5ee1e485a5a2


Marco Tavora Ph.D.

Physicist | Data Scientist | Scientific Writer | Founder at Principia | 45k+ followers

4 年

If these daily posts give you joy, or even inspiration sometimes, please consider supporting me via my Patreon account www.patreon.com/marcotav

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Ladan Jazi

Attended tarbiatmodares.ac.ir

4 年

Thanks.The concept of monad is so important in his philosophy.

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Karel Vali?

Institute of Animal Science

4 年

Leibniz is my funny part of integral. ;-) Karloss

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