->SdkbBot m →top: Removed overlinked country wikilink and general fixes (task 2) |
m Improved article clarity and structure |
||
| Line 1: | Line 1: | ||
{{Short description|Indian mathematician}} | {{Short description|Indian mathematician (1902-1955)}} | ||
{{Use Indian English|date=December 2015}} | {{Use Indian English|date=December 2015}} | ||
{{Use dmy dates|date=December 2015}} | {{Use dmy dates|date=December 2015}} | ||
| Line 8: | Line 8: | ||
|occupation = mathematician | |occupation = mathematician | ||
}} | }} | ||
'''Tirukkannapuram Vijayaraghavan''' ({{ | '''Tirukkannapuram Vijayaraghavan''' ({{langx|ta|திருக்கண்ணபுரம் விஜயராகவன்}}; 30 November 1902 – 20 April 1955) was an Indian mathematician from the [[Madras]] region. He worked with [[G. H. Hardy]] on [[Pisot–Vijayaraghavan number]]s when he went to [[Oxford]] in the mid-1920s. He was a fellow of [[Indian Academy of Sciences]] elected in 1934. His father was a [[pandit]]. | ||
Vijayaraghavan was well versed in Sanskrit and Tamil. He was a close friend of [[André Weil]]. | Vijayaraghavan was well-versed in Sanskrit and Tamil. He was a close friend of [[André Weil]]. Weil hired him in 1930 despite his lack of diploma, and they served together in [[Aligarh Muslim University]].<ref>{{Cite book |last=Weil |first=André |title=The apprenticeship of a mathematician |last2=Weil |first2=André |date=1992 |publisher=Birkhäuser |isbn=978-3-7643-2650-0 |location=Basel Boston Berlin}}</ref> While Weil was away in Europe, [[Ross Masood]] planned to replace Weil's professorship with Vijayaraghavan, but Vijayaraghavan quit in protest and moved to the [[University of Dhaka]].<ref>M.S. Raghunathan, [https://web.archive.org/web/20040104021712/http://www.ias.ac.in/currsci/aug252003/526.pdf Artless innocents and ivory-tower sophisticates: Some personalities on the Indian mathematical scene].</ref> | ||
Vijayaraghavan proved a special case of [[Herschfeld's theorem]] on [[nested radicals]]:<ref>[[Srinivasa Ramanujan|Ramanujan, S]]. Collected Papers of Srinivasa Ramanujan (Ed. G. H. Hardy, P. V. S. Aiyar, and B. M. Wilson). Providence, RI: American Mathematical Society (2000), p. 348.</ref> For <math>a_n>0</math> | Vijayaraghavan proved a special case of [[Nested_radical#Herschfeld's_convergence_theorem|Herschfeld's theorem]] on [[nested radicals]]:<ref>[[Srinivasa Ramanujan|Ramanujan, S]]. Collected Papers of Srinivasa Ramanujan (Ed. G. H. Hardy, P. V. S. Aiyar, and B. M. Wilson). Providence, RI: American Mathematical Society (2000), p. 348.</ref> For <math>a_n>0</math> | ||
:<math>\sqrt{a_1 + \sqrt{a_2 + \sqrt{a_3 + \sqrt{a_4 + \cdots}}}}</math> | :<math>\sqrt{a_1 + \sqrt{a_2 + \sqrt{a_3 + \sqrt{a_4 + \cdots}}}}</math> | ||
converges if and only if | converges if and only if | ||
| Line 27: | Line 27: | ||
{{DEFAULTSORT:Vijayaraghavan, Tirukkannapuram}} | {{DEFAULTSORT:Vijayaraghavan, Tirukkannapuram}} | ||
[[Category:Aligarh Muslim University | [[Category:Academic staff of Aligarh Muslim University]] | ||
[[Category:20th-century Indian mathematicians]] | [[Category:20th-century Indian mathematicians]] | ||
[[Category:Fellows of the Indian Academy of Sciences]] | [[Category:Fellows of the Indian Academy of Sciences]] | ||
| Line 33: | Line 33: | ||
[[Category:1955 deaths]] | [[Category:1955 deaths]] | ||
[[Category:Scientists from Chennai]] | [[Category:Scientists from Chennai]] | ||
[[Category:Expatriates from British India in the United Kingdom]] | |||
{{India-mathematician-stub}} | {{India-mathematician-stub}} | ||
Latest revision as of 22:08, 8 March 2026
Thirukannapuram Vijayaraghavan | |
|---|---|
| Born | 30 November 1902 |
| Died | 20 April 1955 (aged 52) |
| Occupation | mathematician |
Tirukkannapuram Vijayaraghavan (Script error: The function "langx" does not exist.; 30 November 1902 – 20 April 1955) was an Indian mathematician from the Madras region. He worked with G. H. Hardy on Pisot–Vijayaraghavan numbers when he went to Oxford in the mid-1920s. He was a fellow of Indian Academy of Sciences elected in 1934. His father was a pandit.
Vijayaraghavan was well-versed in Sanskrit and Tamil. He was a close friend of André Weil. Weil hired him in 1930 despite his lack of diploma, and they served together in Aligarh Muslim University.[1] While Weil was away in Europe, Ross Masood planned to replace Weil's professorship with Vijayaraghavan, but Vijayaraghavan quit in protest and moved to the University of Dhaka.[2]
Vijayaraghavan proved a special case of Herschfeld's theorem on nested radicals:[3] For
converges if and only if
where denotes the limit superior.
References[edit | edit source]
- ↑ Weil, André; Weil, André (1992). The apprenticeship of a mathematician. Basel Boston Berlin: Birkhäuser. ISBN 978-3-7643-2650-0.
- ↑ M.S. Raghunathan, Artless innocents and ivory-tower sophisticates: Some personalities on the Indian mathematical scene.
- ↑ Ramanujan, S. Collected Papers of Srinivasa Ramanujan (Ed. G. H. Hardy, P. V. S. Aiyar, and B. M. Wilson). Providence, RI: American Mathematical Society (2000), p. 348.
External links[edit | edit source]
  | This article about an Indian mathematician is a stub. You can help Bharatpedia by expanding it. |