@N3buchadnezzar That problem is equivalent to proving $$\int_0^{\pi/2}\int_0^{\pi/2} \frac{k^2\cos^2(x)+k'^2\cos^2(y)}{\sqrt{(1-k^2\cos^2(x))(1-k'^2\sin^2(x))}} dx dy = \pi/2$$
You are getting more and more like me. For my part, whatever is being taught in school, I am always doing math problems [though not of your level] on the back of my notebook.
But still I am not socially inept, so much.
There? I have question of derivatives, would you like it?
Say I want do series expansion of series reversed function. Do I need to expand around the desired value of the original function and then reverse the function, or can I reverse the function and expand about any point?
@robjohn I have another question , Consider a subset $Y \subset X$ of a linear vector space . I am considering the cardinality of the continuous linear functionals over $X$ and over $Y$ . What do you suggest ? In my opinion the cardinality over $Y$ is equal to that of over $X$
When I first saw the Möbius function, I had a feeling of the mystical. Kind of like mixing concrete and to discover that there is a lump of hardened powder in the concrete mix. Then you crush the lump and experience the mystery of crushing it to see what is inside. In the real word you are the first see that crush, in the ideal mathematical Plato cave I don't know. Maybe many before you have experienced the mystery.
@Sawarnik There is no algebra in abstract algebra, that's the fun. It starts from the basics of set theory and no background on anything is needed, except ability of sheer logical understanding, which I think you have well.
It's a new branch without essentially anything needed as a background. Like geometry. Are you particularly asking what galois theory says? I can give you a brief explanation (understandable, of course)
It's a new branch without essentially anything needed as a background. Like geometry. Are you particularly asking what galois theory says? I can give you a brief explanation (understandable, of course) if you want.
