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'''Āchārya Virasena''' was an 8th century [[India |
'''Āchārya Virasena''' was an 8th century [[India]]n [[Indian mathematics|mathematician]] and [[Jainism|Jain]] philosopher and scholar. He was a student of the Jain sage Elāchārya<ref name="Indranandi" />. He is also known to be a famous orator and an accomplished poet<ref name="Jinasena" />. His most reputed work is the Jain treatise '''Dhavala'''. Late Dr. Hiralal Jain places the completion of this treatise in 816 AD<ref>{{cite book |
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|last = Nagrajji |
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|first = Acharya Shri |
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Έκδοση από την 07:13, 19 Οκτωβρίου 2010
Πρότυπο:Unreferenced Āchārya Virasena was an 8th century Indian mathematician and Jain philosopher and scholar. He was a student of the Jain sage Elāchārya[1]. He is also known to be a famous orator and an accomplished poet[2]. His most reputed work is the Jain treatise Dhavala. Late Dr. Hiralal Jain places the completion of this treatise in 816 AD[3].
Virasena was a noted mathematician. He gave the derivation of the volume of a frustum by a sort of infinite procedure. He worked with the concept of ardhaccheda: the number of times a number could be divided by 2; effectively logarithms to base 2. He also worked with logarithms in base 3 (trakacheda) and base 4 (caturthacheda).[4]
He was also the first person to give a value of pi more accurate than provided by any of his predecessors by means of constructing a monotonically decreasing sequence approaching pi as a limit.[5]
Notes
- ↑ Indranandi. Shrutāvatāra
- ↑ Jinasena. Ādi Purāņa
- ↑ Nagrajji, Acharya Shri (2003). Agama and Tripitaka: Language and Literature. Concept Publishing Company. σελ. 530. ISBN 8170227305, 9788170227304 Check
|isbn=value: invalid character (βοήθεια). - ↑ Gupta, R. C. (2000), «History of Mathematics in India», Students' Britannica India: Select essays, Popular Prakashan, σελ. 329, http://books.google.co.uk/books?id=-xzljvnQ1vAC&pg=PA329&lpg=PA329&dq=Virasena+logarithm&source=bl&ots=BeVpLXxdRS&sig=_h6VUF3QzNxCocVgpilvefyvxlo&hl=en&ei=W0xUTLyPD4n-4AatvaGnBQ&sa=X&oi=book_result&ct=result&resnum=2&ved=0CBgQ6AEwATgK#v=onepage&q=Virasena%20logarithm&f=false
- ↑ Mishra, V.; Singh, S. L. (February 1997), «First Degree Indeterminate Analysis in Ancient India and its Application by Virasena», Indian Journal of History of Science 32 (2): 127-133
See also
External links
- Singh, A. N., Lucknow University, http://www.jainworld.com/JWHindi/Books/shatkhandagama-4/02.htm Translation of part of the Dhavala.
Πρότυπο:Indian mathematics Πρότυπο:India-scientist-stub Πρότυπο:Asia-mathematician-stub