On: The Euler Archive

[sf01]

Anyone has suggestions on good papers in English translation from the archive? Here's one that is the first published proof of Fermat’s Little Theorem (link to translation at bottom of page):

http://eulerarchive.maa.org//pages/E054.html

[svat → sf01]

Euler's first major work, the one that brought him fame, was his solution to the Basel problem (https://en.wikipedia.org/wiki/Basel_problem), when he was 28. Namely, he found the sum of the reciprocals of the squares of the integer, i.e. the value of the series (1 + 1/4 + 1/9 + 1/16 + ...), to be π²/6.

According to https://faculty.math.illinois.edu/~reznick/sandifer.pdf Euler gave three solutions in his 1736 paper now numbered E41: http://eulerarchive.maa.org/pages/E041.html ("De summis serierum reciprocarum" = "On the sums of series of reciprocals")

Here is Jordan Bell's translation: https://arxiv.org/abs/math/0506415

[mathnmusic → svat]

3Blue1Brown has a beautiful explanation of the Basel problem: https://www.youtube.com/watch?v=d-o3eB9sfls

[sf01 → svat]

very great, thanks for the reply!

btw, for anyone interested in Euler, these two books (kind of pricey) are worth seeking out:

Introduction to Analysis of the Infinite - Book I and II