The core of Aryabhata, Brahmgupta & Bhaskara II

 The manuscript is prepared by selecting the verses from Aryabhatiya (33 verses), BrahmaSphuthaSiddanta (7 verses) by Brahmagupta, and SiddhantaSiromani (3 verses) by Bhaskara II, with translation & mathematical Explanation. The collection of 'Vedic-mathematics'.

While I began this work, I find that there are two controversial verses in Aryabhataiya from Ganitam (mathematics) section, i.e., verse no.- 6 &7. I face difficulty and not satisfy with the translation by the previous commentators, who declare them mathematically wrong, by ignoring the last verse of Aryabhatiya (The curse of Aryabhata). And I did not dare to go against the warning of Aryabhata and put forward my translation to them.

The manuscript connects the work of Aryabhata to Brahmagupta and Bhaskara II, and highlight the development of the concept of zero to the origin of infinity. And then this work  indicating to the application of concepts of these gurus can be applied to the problems of modern mathematics such as the Riemann hypothesis and the continuum hypothesis. We will see how, our new function {Aryabhata-function, viz, A(s)=s^∞}  connect Aryabhata with mathematicians like Euler, B. Riemann & G. Cantor. It is the main attraction of this work.

I hope 'Readers' will find them-self connected to that.

- Sunny Kumar

Dehradun, India