Rudram chamakam and mathematics
Our Vedhas not only talk about maths but talk about everything...it is our life,pride,treasure. But it is sad,we do ignore our own greatest of all treasures and run behind some miracles. This is Eleventh Anuvaka of Chamakam of the Rudra Namaka Chamaka, you will get to know the mathematical genius in the Vedas.
Eka chame, thirsa chame, panchas chame, saptha,
Ekadasa chame, tryodasa chame, pancha dasa chame, saptha dasa chame,
Nava dasa chame, eka trimsathis chame, tryovimsathis chame,
Pancha vimsathis chame,
and it goes on.
Mathematical genius behind it
Eka cha me 01 + 000 = 001 square root is 01
thisra chame 03 + 001 = 004 square root is 02
panchas chame 05 + 004 = 009 square root is 03
saptha chame 07 + 009 = 016 square root is 04
nava chame 09 + 016 = 025 square root is 05
Ekadasa chame 11 + 025 = 036 square root is 06
tryodasa chame 13 + 035 = 049 square root is 07
pancha dasa chame 15 + 049 = 064 square root is 08
saptha dasa chame 17 + 063 = 081 square root is 09
Nava dasa chame 19 + 081 = 100 square root is 10
eka ving satis chame21 + 100 = 121 square root is 11
tryo ving satis chame23 + 121 = 144 square root is 12
Pancha ving satis chame 25 + 144 = 169 square root is 13
Sapta ving satis chame 27 + 169 = 196 square root is 14
Nava ving satis chame 29 + 196 = 225 square root is 15
Eka Triyam ving satis chame31 + 225 = 256 squ. root is 16
This is a part of the classic mathematical progressions. The mathematical part of it is just an extra add-on to a deeper meaning. The hymn describes how Lord Shiva has created the universe. It talks about birth and death associated with the mystery of atoms.
Observing the sequence...
1 grows to 3 and then becomes 2 (the square root). Likewise, the sequence increases first and decreases again. This rise or increase is related to the growth of atoms which we called birth and the sudden decrease is related to the decay of atoms which we called death. An ancient sage Kaanaada extolled the hidden mathematical meanings of these verses with respect to spirituality.
This simple verse is an example to depict the ancient Indian mind. The math part of it is an addon to the mystical meaning which is the core of the verse. The mystical hidden meaning is spiritual, the mathematical meaning is merely that which surrounds the core. The ancient Indian mind had always laid emphasis on subject (God) and the inner meanings related to it but not the objects that surround the subject.