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In the list given here the scholars having * belongs to svetambara tradition, while others are Digambara. This information is useful in compiling the life history of the Acārya. I would like to mention that Sridhara, Mahavira, Simhatilakasuri & Thakkarpheru are purely mathematician, while Yatfvrasabha, Vfrasena, Nemicandra & Todarmala, who are basically philosophers, contributed a lot. A deep study of the works of these philosopher mathematician is urgently needed. I am happy to note that Prof. Padmavathamma, Mr. Dipak Jadhav, Mrs. N. Shivkumar, Mrs. Shweta Jain, Mr. Jeevanprakash Jain & Mrs. Pragati Jain are busy in doing such studies.
Now I am mentioning few points which were earlier discovered by Jainācāryas but still in the existing books on History of Mathematics we find wrong informations.
1. Fibonnaci Numbers & Fibonnacci Sequences are first found in the Ganita
sāra-samgraha of Mahāviācārya (850 A.D.)". It is discussed in detail in GSS of 9th c.A.D. Process of finding perpendiculars & base for fixed C is available in GSS, but credit is given to Fibonnacci (1202 A.D.) and Vieta (1580 A.D.). It is also clear by the name also. Actually credit should be given to Mahaviracarya (850 A.D.)
. . .n
n ! 2. The General formula for combination
is available in GSS
r r!(n-)! by Mahavira (850 A.D.) 22, but credit is given to Herigon (1634 A.D.).23 The theory of combination & permutation is available in many Jaina texts by the name Vikalpa or Bhamga.
n! 3. The general formula for Permutation is "p = - is given in the
r (n-1)! commentary of Anuyogadvāra sātra by Hemcandra24, while it is mentioned
in the book of Smith that it is invented in Europe in 14-15th century.“ 4. The concept and formula for logarithms is available in the Tiloyapannattico
(2-7 th century) and in the Dhavala commentary of Satakhandagama written by Virasena (816 A.D.).“ The formulae which are available -
log m.n = log m + log n. log m/n = log m - log n logm = n log m.
Not only this, but the concept of log log and log log log is also available in the Dhavala commentory. More details are available in the article of Prof. L. C. Jain 'On Some Mathematical Topics of Dhavala' text
Arhat Vacana, 14(1), 2002
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| SR No. | 526553 |
| Book Title | Arhat Vachan 2002 01 |
| Original Sutra Author | N/A |
| Author | Anupam Jain |
| Publisher | Kundkund Gyanpith Indore |
| Publication Year | 2002 |
| Total Pages | 108 |
| Language | Hindi |
| Classification | Magazine, India_Arhat Vachan, & India |
| File Size | 7 MB |