Newton's Principia and Euclid's Elements

In summary, the conversation is about finding updated versions of textbooks by Newton and Euclid. The participants recommend "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 as modern versions of Newton's work. For Euclid, they suggest "Euclid's Elements" translated by David Joyce and recommended by Stillwell, or the original version translated by David Heath.
  • #1
JTC
100
6
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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  • #3
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
 
  • #4
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).
 

Related to Newton's Principia and Euclid's Elements

1. What is the significance of Newton's Principia and Euclid's Elements?

Newton's Principia and Euclid's Elements are two of the most important works in the history of science and mathematics. They laid the foundations for modern physics and geometry, respectively, and are still used as textbooks and references today.

2. Who were Isaac Newton and Euclid?

Isaac Newton was a British physicist and mathematician who is best known for his laws of motion and theory of gravity. He published his most famous work, Principia Mathematica, in 1687. Euclid was a Greek mathematician who is often referred to as the "Father of Geometry." He is known for his work Elements, which was written around 300 BC.

3. What are the main concepts discussed in Newton's Principia and Euclid's Elements?

In Newton's Principia, he presents his three laws of motion, the law of universal gravitation, and his theory of calculus. Euclid's Elements covers a wide range of mathematical topics, including basic geometry, number theory, and geometric proofs.

4. How did Newton's Principia and Euclid's Elements impact the scientific world?

Newton's Principia and Euclid's Elements revolutionized the fields of physics and mathematics, respectively. They provided a framework for understanding the natural world and laid the groundwork for future scientific discoveries and advancements.

5. Are Newton's Principia and Euclid's Elements still relevant today?

Absolutely. While they were written centuries ago, the principles and concepts discussed in both works are still used and studied by scientists and mathematicians today. Newton's laws of motion and theory of gravity are the basis for modern physics, and Euclid's geometric proofs are still used to teach geometry in schools.

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