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Srinivasa Ramanujan — Wikipedya

  • ️Thu Dec 22 1887

Depi Wikipedya, ansiklopedi lib

Atik sa a se yon ebòch.

ou kapab pataje konesans ou pandan w ap amelyore l (Kijan ?).

Srinivāsa Rāmānujan Iyengar (nan lang Tamil : ஸ்ரீநிவாச ராமானுஜன்), ki fèt 22 desanm 1887 epi ki mouri 26 avril 1920 (End), se yon matematisyen endyen.

  • Matematisyen sa a travay anlè Pi ( {\displaystyle \pi } ) depi li te jèn timoun. Li bay fòmil sa a :
{\displaystyle {\frac {1}{\pi }}={\frac {2{\sqrt {2}}}{9801}}\sum _{k=0}^{\infty }{\frac {(4k)!(1103+26390k)}{(k!)^{4}396^{4k}}}}

ki pèmèt jodi jou kalkile anpil desimal nan nonm {\displaystyle \pi }.

Li pa te genyen edikasyon matematik men li te konnen matematik nan potomitan li. Se pousa tout fòmil li te twouve yo pa te genyen demonstrasyon dèyè yo. Demonstrasyon fòmil pou {\displaystyle \pi } nou bay an ke Ramanujan te dekouvri nan lane 1910 te demontre nan lane 1985 pa frè matematisyen sa yo : Jonathan epi Peter Borwein.

{\displaystyle 1+{\frac {1}{1\cdot 3}}+{\frac {1}{1\cdot 3\cdot 5}}+{\frac {1}{1\cdot 3\cdot 5\cdot 7}}+{\frac {1}{1\cdot 3\cdot 5\cdot 7\cdot 9}}+\cdots +{1 \over 1+{1 \over 1+{2 \over 1+{3 \over 1+{4 \over 1+{5 \over 1+\cdots }}}}}}={\sqrt {\frac {e\cdot \pi }{2}}}}

Kèk ouvraj n ap twouve anlè Ramanujan ak travay li :

  • Berndt, Bruce C. "An Overview of Ramanujan's Notebooks." Charlemagne and His Heritage: 1200 Years of Civilization and Science in Europe. Ed. P. L. Butzer, W. Oberschelp, and H. Th. Jongen. Turnhout, Belgium: Brepols, 1998. 119-146. Text
  • Berndt, Bruce C., and George E. Andrews. Ramanujan's Lost Notebook, Part I. New York: Springer, 2005. ISBN 0-387-25529-X.
  • Berndt, Bruce C., and George E. Andrews. Ramanujan's Lost Notebook, Part II. New York: Springer, 2008. ISBN 978-0-387-77765-8
  • Berndt, Bruce C., and Robert A. Rankin. Ramanujan: Letters and Commentary. Vol. 9. Providence, Rhode Island: American Mathematical Society, 1995. ISBN 0-8218-0287-9.
  • Berndt, Bruce C., and Robert A. Rankin. Ramanujan: Letters and Commentary. Vol. 22. Providence, Rhode Island: American Mathematical Society, 2001. ISBN 0-8218-2624-7.
  • Berndt, Bruce C. Number Theory in the Spirit of Ramanujan. Providence, Rhode Island: American Mathematical Society, 2006. ISBN 0-8218-4178-5.
  • Berndt, Bruce C. Ramanujan's Notebooks, Part I. New York: Springer, 1985. ISBN 0-387-96110-0.
  • Berndt, Bruce C. Ramanujan's Notebooks, Part II. New York: Springer, 1999. ISBN 0-387-96794-X.
  • Berndt, Bruce C. Ramanujan's Notebooks, Part III. New York: Springer, 2004. ISBN 0-387-97503-9.
  • Berndt, Bruce C. Ramanujan's Notebooks, Part IV. New York: Springer, 1993. ISBN 0-387-94109-6.
  • Berndt, Bruce C. Ramanujan's Notebooks, Part V. New York: Springer, 2005. ISBN 0-387-94941-0.
  • Hardy, G. H. Ramanujan. New York, Chelsea Pub. Co., 1978. ISBN 0-8284-0136-5
  • Hardy, G. H. Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work. Providence, Rhode Island: American Mathematical Society, 1999. ISBN 0-8218-2023-0.
  • Henderson, Harry. Modern Mathematicians. New York: Facts on File Inc., 1995. ISBN 0-8160-3235-1.
  • Kanigel, Robert. The Man Who Knew Infinity: a Life of the Genius Ramanujan. New York: Charles Scribner's Sons, 1991. ISBN 0-684-19259-4.
  • Narlikar, Jayant V. Scientific Edge: the Indian Scientist From Vedic to Modern Times. New Delhi, India: Penguin Books, 2003. ISBN 0-14-303028-0.
  • Sankaran,T.M. "Srinivasa Ramanujan- Ganitha lokathile Mahaprathibha", (in Malayalam), 2005, Kerala Sastra Sahithya Parishath, Kochi.
  • Godfrey Harold Hardy, L'Apologie d'un mathématicien, Editions Belin, 1985. ISBN 2-7011-0530-7
  • Bernard Randé, Les carnets indiens de Srivanasa Ramanujan, Editions Cassini, 2002. ISBN 2-84225-065-6
  • G.H. Hardy, The Indian Mathematician Ramanujan, American Mathematical Monthly, Vol.44, n°3, mars 1937, pp 137-155.