GANITA SUTRAS PDF

These are: 1 Nikhilam all , 2 Navastasca from nine , 3 Caramam last , and 4 Dastah ten. Nine numerals and ten place value system are the two basic steps in terms of which the infinitely long line stands tamed. The counting pebbles technique requires infinite pebbles for coverage of infinitely long line. Vedic seers comprehended ten place value system. From the method of expression tenth counting pebble as 10 as in two digit form, we can notice that here lies a shift from single digit expression for first 9 counts to the next multiple digit expression initiation for expression of tenth count onwards. Further, it also would be interesting to note that the double digit form for 1 as 01 provides us an expression for the tenth count as 10 simply by having swapping of places for first and the second digit.

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These are: 1 Nikhilam all , 2 Navastasca from nine , 3 Caramam last , and 4 Dastah ten. Nine numerals and ten place value system are the two basic steps in terms of which the infinitely long line stands tamed. The counting pebbles technique requires infinite pebbles for coverage of infinitely long line. Vedic seers comprehended ten place value system. From the method of expression tenth counting pebble as 10 as in two digit form, we can notice that here lies a shift from single digit expression for first 9 counts to the next multiple digit expression initiation for expression of tenth count onwards.

Further, it also would be interesting to note that the double digit form for 1 as 01 provides us an expression for the tenth count as 10 simply by having swapping of places for first and the second digit. Further, the above interlink of 01 and 10 takes us to their link and inerlocking as reflection pair of numbers as much as that the formats beneath 01 and 10 get interconnected like image of an arrow through looking mirror gets interlocked with the arrow itself.

The placements of arrow, mirror, and the image of the arrow work out a di-monad format with mirror playing the role of joint of the di-monad. This as such is a big leap forward from the organisation format of Sutra 1. This had become possible with the transition stage of Upsutra 1. Therefore, Sutra 1, Upsutra 1 and Sutra 2 together make much interesting dimensions to the mathematics.

The above organisation of Sutra 1, Upsutra 1 and Sutra 2 takes us to a stage where the middle of interval, which otherwise had the privilege of uncountably infinite placements, gets tamed as a unique mirror placement to have half unit in front of the mirror as first half and its image through the mirror as the second half.

However, simultaneously, it makes the working very delicate as we shall be permitting the second half to remain dormant while structures because of the second half also shall be silently marking their presence. We cannot afford to ignore the existence of the structures because of the second dormant half.

If one is to see the type of difficulties in which the mathematics when worked without taking care for the second dormant half, one is simply to pose to oneself as to why from hypercircle-8 onwards the values start decreasing. It simply happens as the linear order worked in terms of half-dimension helps us sequentially increase only uptil seventh step parallel to the possible seven geometries of 3-space of linear order.

The organisation of pairing of two halves with the help of a mirror at the middle is unique organisation of many features, of which the most important is the feature of common remainder for both the halves while both halves are divided by a common divisor. Though this property may appear to be obvious but in fact when the same is viewed in the context of uncountably infinite points being handled in terms of counting numbers, one would realise, how important this property of constant remainders emerges to be.

This is precisely Upsutra 2.

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GANITA SUTRAS PDF

Daicage The first part is Urdhva vertical and the second part is Tiryag crosswise. He graduated from a lecturer in Baroda College to the Principal of National College Rajamundri, but gave away his brilliant carrier in to become a Freedom Fighter and an ardent Nationalist. To each member of F is associated from K. In hindi, Ganita means Mathematics, Sutra is a distinctive type of literally composition, Sulbha means easy, Veda literally knowledge are ancient Indian teachings and sacred scriptures of Gannita.

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Mathematics Students, Teachers and Research Scholars are invited to join this chase which may extent over a period of one year. Let us have an aim to glimpse values and First Principles of Mathematics through Times. And our objective shall be to reach at the mathematical domain which stood worked at different Times. Let our further exercise be to augment all these attainments and to have an insight and vision for the Universal Mathematical Domain. To set the ball rolling, let me state: Present exercise aims to be face to face with mathematics values from Vedic Times to present day, and surely even prior to the day of settlement of Vedic Samhitas. Mathematics continues being the First Discipline of Knowledge. And it is, because of the values of Mathematics itself that Vedic Samhitas stood settled.

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