Whats the History of the Integral?

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    History Integral
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Discussion Overview

The discussion revolves around the historical development of the integral, exploring its origins and key figures involved in its evolution. Participants seek reliable sources and insights into the history of integration and calculus.

Discussion Character

  • Historical, Meta-discussion

Main Points Raised

  • One participant expresses difficulty in finding a reliable history of the integral and seeks recommendations for sources.
  • Another participant suggests search terms related to the history of integration and calculus, noting that Wikipedia can be a good starting point but emphasizes the importance of checking primary sources.
  • A later post attributes the discovery of basic integration concepts to Archimedes in the 3rd century BCE, while noting that the full development of integral calculus awaited Newton and Leibniz.
  • A participant shares a link to a video series they find fascinating regarding the history of integration.

Areas of Agreement / Disagreement

Participants generally agree on the significance of Archimedes in the history of integration, but there is no consensus on the best sources for this history or the reliability of Wikipedia.

Contextual Notes

Some limitations include the potential variability in the reliability of sources and the lack of detailed exploration of the mathematical developments between Archimedes and the work of Newton and Leibniz.

Who May Find This Useful

Historians of mathematics, students interested in the development of calculus, and anyone exploring the historical context of mathematical concepts.

kevinnn
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For some reason I thought it would be easy to find but I'm trying to find a history of the integral. I'm not really looking for Wikipedia because I know that anyone with a computer can go and change the content so I'm not sure how true it is. Does anyone know of a good source I can look at? Thanks.
 
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Use the following search terms:

"history of integration"
"history of calculus"
You will get hits for college courses on the subject.

You can compare with wikipedia if you like - it tends to be pretty good on things that are well established and lots of people are interested in it. You should always check the primary sources though - especially if you want the information for more than personal curiosity.
 
Thanks.
 
Many historians credit Archimedes in the 3rd century BCE with the discovery of the basic concepts of integration. However, Archimedes did not have the mathematical toolset to develop fully-realized integral calculus. That had to wait for the twin terrors of Newton and Leibnitz. I think you may find this series especially fascinating:

https://www.youtube.com/watch?v=8ZLC0egL6pc
 
This looks like a god watch. I will look at it after my finals are over and I have the time to watch the whole thing.
Thanks!
Looks a little like Richard Feynman in the picture.
 

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