Part 3: Linear Indeterminate Equations – (Kuttaka)
we turn to India’s kuttaka method of solving linear indeterminate equations – first described by Āryabhaṭa, detailed by Mahāvīra, and refined by Bhāskara II
August 22, 2025 Chandrahas Halai
Part 2: Linear Indeterminate Equations
This article discusses linear indeterminate equations and explains how the extended GCD method helps solve them step by step
August 20, 2025 Chandrahas Halai
Part 1: Euclid’s Algorithm For Finding The Greatest Common Divisor
Ancient Greek mathematician, Euclid (300 BCE), had given a quick and easy method to calculate the GCD of a pair of numbers.
August 19, 2025 Chandrahas Halai
Interview With Prof. Alok Kumar Author Of “Ancient Hindu Science”
We recently conducted an interview with Prof. Alok Kumar wherein he talks about the various research methodologies and his entire journey during this process that finally culminated in the form of this amazing book.
May 29, 2022 Chandrahas Halai
Sarngadeva’s Taana Prastaar – Part III
Sarngadeva was amongst the earliest to develop sophisticated algorithms for combinatorial sequence generation.
January 12, 2022 Chandrahas Halai
Sarngadeva’s Taana Prastaar – Part II
In this article we are discussing on Sarngadeva had given the Uddishta pratyayas.
January 5, 2022 Chandrahas Halai
Sarngadeva’s Taana Prastaar – Part I
Systematic study of combinatorics in music was done Sarngadeva – hence the seven svaras can be arranged in 7! (factorial)= 5040 ways.
December 29, 2021 Chandrahas Halai
Virahanka Numbers – Part IV
In general in a n matra vrutta prastaar, if n is even the metrical forms will have only even number of Laghus. And if n is odd the metrical forms will have only odd number of Laghus
December 1, 2021 Chandrahas Halai
Virahanka Numbers – Part III
An amazing property of Virahanka’s numbers: Any positive integer can be represented either as a Virahanka number or as a sum of non-consecutive Virahanka numbers (Sankhyaank), without repetition.
November 24, 2021 Chandrahas Halai
Virahanka Numbers – Part II
For the tree graphs used to generate the matra prastaar for quarter having ‘n’ matras, every node will have two branches – first one for G and second one for L, & the branches end when their total matra values become equal to ‘n’
November 17, 2021 Chandrahas Halai
Virahanka Numbers – Part I
Virahanka gave a comprehensive explanation of the Prastaar and Sankhya pratyays for matra vrutta in his Prakrit work Vrattajati samuccaya – Fibonacci sequence is actually the sequence of Virahanka’s Sankhyankas
November 10, 2021 Chandrahas Halai
Pingala’s Algorithm Part VIII: Number of Meters
In previous articles, we have dealt with poetic meters where all the four quarters of a verse had the same pattern of Laghus and Gurus. Such meters are called Samavrutta.
February 3, 2021 Chandrahas Halai
Pingala’s Algorithm Part VII: From Ganas to Octal and Hexadecimal
This is one amongst many inventions that we think are modern but which have their roots in ancient India.
October 7, 2020 Chandrahas Halai
Pingala’s Algorithm Part VI: Meru Prastaar
Pingala’s Meru Prastaar which is popularly known as Pascal’s Triangle. It predates the Pascal triangle by at least 1800 years
July 29, 2020 Chandrahas Halai
Pingala’s Algorithm Part V: Algorithm to Calculate the Value of an Exponential
Pingala’s Algorithm was the earliest and quickest methods to calculate exponential of any number
July 22, 2020 Chandrahas Halai
