3 ms·
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
by sf01 8y ago
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 http://eulerarchive.maa.org//pages/E054.html
- svat 8y agoEuler's first major work, the one that brought him fame, was his solution to the Basel problem (https://en.wikipedia.org/wiki/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 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 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 https://arxiv.org/abs/math/0506415
- sf01 8y agovery 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
- mathnmusic 8y ago3Blue1Brown has a beautiful explanation of the Basel problem: https://www.youtube.com/watch?v=d-o3eB9sfls https://www.youtube.com/watch?v=d-o3eB9sfls