Newton's Principia and Euclid's Elements

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Discussion Overview

The discussion revolves around finding modern textbooks that convey the ideas and thought processes of Isaac Newton's "Principia" and Euclid's "Elements," while using updated language and potentially omitting less essential content. Participants express interest in accessible resources that maintain the essence of these classical works.

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • One participant expresses a desire to read Newton's "Principia" and Euclid's "Elements," seeking modern interpretations that retain the original thought processes.
  • Another participant suggests several modern texts related to Newton's "Principia," including "Newton's Principia for the Common Reader" by Chandrasekhar, "Force and Geometry in Newton's 'Principia'" by Gandt, and "Magnificent Principia: Exploring Isaac Newton's Masterpiece" by Pask.
  • A participant references accessible notes on Euclid's proofs shared by Mathwonk, providing a link to the resource.
  • Another participant mentions a free online version of Euclid's "Elements" recommended by Stillwell, along with a suggestion for David Heath's English translation for those interested in a more original text.

Areas of Agreement / Disagreement

Participants generally agree on the desire for modern resources related to both Newton and Euclid, but there is no consensus on specific recommendations for Euclid's "Elements." The discussion remains open with multiple suggestions presented.

Contextual Notes

Some suggestions may depend on personal preferences for accessibility and depth, and the effectiveness of the recommended texts in conveying the original thought processes remains subjective.

Who May Find This Useful

Readers interested in the historical development of physics and mathematics, as well as those seeking modern interpretations of classical texts.

JTC
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I have always wanted to read the textbooks in the thread title.

But their styld is so old.

Does someone know of any "middle of the road" textbooks?

By that, I mean: books that basically teach what these two men wrote, but, perhaps with updated language, or some really-not-essential stuff removed.

I am not as much interested in learning about topics from the books (well, I suppose I sort of am) -- but more like, learning how these men thought (but with occassional and precise rewording of some basic things).
 
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A while back Mathwonk posted a link to some very accessible notes he put together about Euclid's proofs:

http://alpha.math.uga.edu/~roy/camp2011/10.pdf
 
A free 21st century version of Euclid (recommended by Stillwell in Four Pillars of Geometry) is an online compilation from David Joyce available here:

https://mathcs.clarku.edu/~DJoyce/java/elements/elements.html

- - -
if you really want to dive into original Euclid, Stillwell would recommend David Heath's English translation -- dated 1925 and quite long (all of Elements plus a lot of commentary from Heath).
 

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