An epic double integral, overpowered subsitution and miraculous infinite series result all in one!

Описание к видео An epic double integral, overpowered subsitution and miraculous infinite series result all in one!

Wow! there is alot going on here and the results are marvellous!
We start off with a double integral that yields elegant results irrespective of the order of integration and we connect the results to the Reimann Zeta function evaluated at the parameter value 2. There are lots and lots of substitutions along the way including an awesome x=(1-t)/(1+t) like substitution.
The problems discussed here yield solutions that are hard to believe at first but are great examples of just how beautiful mathematical surprises can be.

Комментарии

Информация по комментариям в разработке

Похожие видео