Thursday, November 21, 2019
Monday, January 7, 2019
Mathematics in music
I wrote on June 2013 the importance of
1 + t
1 + t^2
1 + t^3
in sa re ga ma pa dha ni
So Samudragupta dynasty and South Indians did have an intuition of x, x^2,x^3 . . .
But sin x, cos x, tan x and complex i?
Colin Maclaurin, Euler did a lot in trigonometry series and complex numbers. So did Gauss.
Madhava of Sangamagrama did pi by 4. And tan series. Wikipedia states he did sine and cosine too.
I have done pi, rational series. I have done Euler Mascheroni constant to 3 places. ( I believe Euler Mascheroni constant is a measure of genius power). I have also equated rational numbers series and real numbers series.
My point is x, x^2,x^3 . . . were intuitively known to Indians. My respect for Colin Maclaurin and Euler is high and I learnt e series and trigonometry series.
1 + t
1 + t^2
1 + t^3
in sa re ga ma pa dha ni
So Samudragupta dynasty and South Indians did have an intuition of x, x^2,x^3 . . .
But sin x, cos x, tan x and complex i?
Colin Maclaurin, Euler did a lot in trigonometry series and complex numbers. So did Gauss.
Madhava of Sangamagrama did pi by 4. And tan series. Wikipedia states he did sine and cosine too.
I have done pi, rational series. I have done Euler Mascheroni constant to 3 places. ( I believe Euler Mascheroni constant is a measure of genius power). I have also equated rational numbers series and real numbers series.
My point is x, x^2,x^3 . . . were intuitively known to Indians. My respect for Colin Maclaurin and Euler is high and I learnt e series and trigonometry series.
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