## 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.

## Sarngadeva’s Taana Prastaar – Part III

Sarngadeva was amongst the earliest to develop sophisticated algorithms for combinatorial sequence generation.

## 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.

## 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

## 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.

## 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’

## 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

## 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.

## 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.

## 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

## 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

## Pingala’s Algorithm Part IV – Algorithm to find the value of a Binary Sequence

Pingala’s Algorithm for Binary sequence is used to represent instructions to the computer and various types of data depending on the context

## Pingala’s Algorithm Part III: Prastaar of Kedar Bhatt

This is in continuation of my two previous articles – How Pingala created the Binary Number System and Pingala’s Algorithm for Binary Conversion. In the 11th century CE, Kedar Bhatt…

## Pingala’s Algorithm Part II: Binary Conversion

Binary numbers are the basic language in which computer programs are written which was first developed in India by Acharya Pingala