1/N: Ganitasarasangraha (“Compendium of the Essence of Mathematics”) is a brilliant work on Mathematics by Indian Jaina Mathematician Mahviracharya. Most likely it was composed during the era of Amoghavarsha of Rashtrakuta dynasty - no later than 870 AD
2/N: The very first chapter of Ganitasarasangraha provides precise definition of different kinds of entities, which includes the concept of Time
3/N: The very basic unit of time used in Ganitasarasangraha is "Samaya" (समय). The interesting & perhaps surprising to some is how Samaya is defined.
4/N: Samaya (समय) is defined as "time it takes for a परमाणु (atom) in motion to go beyond another परमाणु (atom) immediately adjacent to it"
5/N: Ancient Indians where using such small units of time for both philosophical and engineering usage. Clearly that means they had some mechanism to gain insight into interatomic spacing & time it takes for an atomic / subatomic particles to travel in such spacing.
6/N: समय is not the only unit of time mentioned in Ganitasarasangraha. I am attaching the entire list here
7/N: The corresponding original Sanskrit verses from Ganitasarasangraha are attached below
9/N: Mathematical works by Vedic Mathematicians also used units of time with ranges from त्रुटि (microseconds) to Brahma-Year (a Trillion years raised to the power of 3 ). The concepts are consistent to what Jaina mathematicians used.
10/N: References
1. Rangacarya, Malur. "The Ganita-Sara-Sangraha of Mahavracarya: with English Translation and Notes." (2011): 483.
2. Mini, P. M. "Contribution of Jainas to mathematics with special reference to Ganitasarasangraha of Mahavira."
1. Rangacarya, Malur. "The Ganita-Sara-Sangraha of Mahavracarya: with English Translation and Notes." (2011): 483.
2. Mini, P. M. "Contribution of Jainas to mathematics with special reference to Ganitasarasangraha of Mahavira."
Loading suggestions...