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Term
1. Parikarma
2. Vyavahara
3. Rajju
4. Rast
5.
Kalasavarna
6. Javata Tavata
7. Varga
8. Ghana
9. Vargavarga
10. Vikalpa
Old Interpretation
by Abhaidevasuri
Addition etc.
Series etc.
Jain Education International
Plane Geometry
Heap of Grains
Fractions
Krakacika Vyavahara or Mathematics related to Cutting of Saw
New Interpretation
Fundamental Operations Applications of Fundamental Operations
Paraworldly Mathematics related to Simile Measure etc. Set Theory
Mathematics of Fractions
Multiplication of Natural Simple Equations
Numbers
Square
Cube
Fourth Power
Quadratic Equations Cubic Equations
Higher Order Equations
Combinations and Permutations
Attempt to explain these ten types has been made by Abhaidevasüri, B.B. Dutta, H.R. Kapadia and L.C. Jain. But the explanations made by L.C. Jain are more closed to the reality. Here I want to mention that the mathematics found in the Dhavala and Gommaṭasara are comparatively more advanced, therefore Abhaidevasüri, B.B. Dutta, H.R. Kapadia could't imagine these advanced topics.
In many commentories of Thanam, we find this verse with minor changes. The interpretation made by Abhaidevastri is misleading. The same type of interpretation is given by Acarya Tulsiji and his team in the edition of Thanam, published by Jaina Vishva Bharati, Ladnun. As I have mentioned earlier that the Jaina School of Mathematics came into light only in the 20th C.A.D. and many aspects explored in the later half of 20th C.A.D. Due to this reason, B.B. Dutta and H.R. Kapadia cannot imagine the extent of Mathematical knowledge contained in Dhavata and Gommalasara. Due to it, they cannot interpretate the term properly. L.C. Jain, who has gone through the mathematics of Tiloyapannat. Dhavata and Gommatasara interpretated well the different forms. This topic has beer discussed in detail in my article.
'जैन आगमों में निहित गणितीय अध्ययन के विषय, तुलसी प्रज्ञा (लाडनूँ), 13 (1987),
Arhat Vacana, 14(1), 2002
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