Mathematica Indica  By Govind Kumar  

 

Sanskrit poets used Elemental Numbers in their poems. As eyes are 2, two represents eyes. As the Vedas are four, four represents the Vedas. Netra Netra ( eyes , eyes ) means 22 and Veda Veda means 44. 

Here we give the correspondence between numbers and the Elements


1. Earth, Moon
2. Eyes, hands, feet, ears
3. Worlds, trinitarian unity, three yogas, three vedas.
4. Vedas 
5. Sense organs.
6 Rithus or the six seasons.
7. Rishies
8 Directions, eightfold prosperity
9 Digits, numbers
0 Ether


10 - Ego and its ten heads.
11 - Rudras
12 Months, Zodiacal Signs
13 Universe
14 Vidyas, Manus
15 Lunations, thidhis
16 King
17 Athushti
18 Treatises astronomical, mythological
19 Athi Dhruthi
20 Nails
21 Uthkruthi 
22 Akrithi
23 Vikruthi
24 Gayathri
25 Principles
27 Constellations
33 Deities


The digits for the letters are written, counting from right to left

For example,

Bhanandagni

Bham = Stars = 27
Nandan = 9
Agni = 3

Bhanandagni = 3927

 
 
Known as Paral Sankhya, the Alpha Numeric System was developed by Vararuchi. It is also known as Katapayadi, as 1 represents the letters Ka, Ta, Pa and Ya, whose corresponding digit is 1. 


Number Letters

1 ka ta pa ya
2 kha tta pha ra
3 hu da bha la
4 gha da ba va
5 nga na ma sha
6 cha tha sha
7 chha dha sa
8 ja dha ha
9 jha ddha
0 nja na ksha 

The Value of Kaa ki ku ke and ko was 1


31 was represented by Kala 

Kala is ka + la = 31 ( The digits are counted from the right )

and 351 by Kamala
Kamala = ka + ma + la = 351
 
 
Ganitha Kerala, the Kerala School of Astronomy and Maths, has given a lot of names for big numbers.

Like the Western 

Myriad = 10^4
Million = 10^6

Indian names are 

Shata = 10^2
Sahasra = 10^3
Ayutha = 10^4
Laksha = 10^5
Dasa Laksha = 10^6 ( Million ) 
Koti = 10^7
Dasa Koti = 10^8
Vrinda = 10^9
Kharva = 10^10
Nikharva = 10^11
Mahapadma = 10^12
Mahakharva = 10^13
Padma = 10^14

In the Western, we have

Million = 1000^2
Billion = 1000^3
Trillion = 1000^4

or 

Nillion = 1000^(n+1)

where n is the number. Tri meaning 3 and trillion = 1000^(3+1)!
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There are greater numbers, than the ones mentioned below. 

Maha Padma = 10^15
Kshoni = 10^16
Parardha = 10^17
Sankha = 10^18
Maha Sankha = 10^19
Kshithi = 10^20
Maha Kshiti = 10^21
Kshobha = 10^22
Maha Kshobha = 10^23

Neethi Lamba = 10^27
Sarva Bala = 10^45
Thallakshana = 10^83
 
"By one more than the one before" - A sutra of Vedic Maths

Ekadhikena Purvecha is Sanskrit for " One more than the previous one". This 
sutra can be used for multiplying or dividing algorithms.

You can use this formula to compute the squares of numbers.

For example.

3535 = ((33)+3),25 = 12,25 and 125125 = ((1212)+12),25 = 156,25

By the sūtra, multiply "by one more than the previous one."

3535 = ((34),25 = 12,25 and 125125 = ((1213),25 = 156,25