History of Sum of Squares: Pythagoras & Beyond

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SUMMARY

The discussion centers on the historical context of the sum of squares of integers, particularly its connection to Pythagorean triples. The earliest known work on this topic is attributed to Pythagoras, who explored the relationship between integers and their squares. Additionally, the discussion references Fermat's theorem on sums of two squares, which further elaborates on this mathematical concept. For deeper insights, the Wikipedia article and the book "History of the Theory of Numbers" are recommended resources.

PREREQUISITES
  • Understanding of Pythagorean triples
  • Familiarity with Fermat's theorem on sums of two squares
  • Basic knowledge of number theory
  • Ability to interpret historical mathematical texts
NEXT STEPS
  • Research the implications of Fermat's theorem on sums of two squares
  • Explore the historical contributions of Pythagoras to number theory
  • Study the book "History of the Theory of Numbers" for comprehensive insights
  • Investigate modern applications of sums of squares in mathematics
USEFUL FOR

Mathematicians, educators, students of number theory, and anyone interested in the historical development of mathematical concepts.

Amer
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I would like to know some history on the subject like who is the first to think about sum of squares of integers and what he/she was thinking about. I think maybe it is related to Pythagorean triples. Thanks
 
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Amer said:
I would like to know some history on the subject like who is the first to think about sum of squares of integers and what he/she was thinking about. I think maybe it is related to Pythagorean triples. Thanks

Hi Amer,

A small bit of history about this is given in the following Wikipedia article and perhaps by following the links to the references (such as the book "History of the theory of Numbers") you might be able to learn more.

https://en.wikipedia.org/wiki/Fermat's_theorem_on_sums_of_two_squares
 

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