@donovinrussell: In today’s video I show of how to derive the Euler-Maclaurin sum formula which gives us a way to approximate the sum of different functions of k, so something like approximating sqrt1 + sqrt2 + sqrt3 + sqrt4 + … + sqrtn. #math #calculus #bernoullinumbers #polynomials #summation

Donovin ℝussell

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Sunday 25 October 2026 16:51:10 GMT

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Comments

amraa0802 :

how does euler keep doing this😭😭😭

2026-10-25 23:40:33

mr.rabbit :

Ahhhh... I remember that I derived it using the general integral and differential operators and then applying them to the sum and get rid of the stuff got the formula you have approached here... I miss doing Analytical number theory...🫡

2026-10-25 21:07:41

babyhands :

Isn’t 1/2f(1)-(-1/2f(0))=1/2(f(1)+f(0)), not 1/2(f(1)-f(0))?

2026-10-25 22:51:04

gchen_0 :

Even though Ive seen the sigma sign so many times, When i see it my brain just logs off for a few secs

2026-10-25 16:57:57

Nov0cx :

Can u make a video about the zeta function of a function field with finite constant field?

2026-10-27 11:19:02

aleph :

been waiting for this one❤️

2026-10-25 18:51:28

broccoliman :

stirlings approximation 😭

2026-10-26 16:54:48

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