Srinivasa Ramanujan

Srinivasa Ramanujan

Srinivasa Ramanujan

Nesans	22 desanm 1887 Ewòd,Tamil Nadu
Lanmò	26 avril 1920 (ak 32 ane) Chetput, (Madras), Tamil Nadu
Nasyonalite	endyen
Peyi nesans	End

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

Zèv li yo

• Matematisyen sa a travay anlè Pi ( $\pi$ ) depi li te jèn timoun. Li bay fòmil sa a :

${\frac {1}{\pi }}={\frac {2{\sqrt {2}}}{9801}}\sum _{k=0}^{\infty }{\frac {(4k)!(1103+26390k)}{(k!)^{4}396^{4k}}}$

ki pèmèt jodi jou kalkile anpil desimal nan nonm $\pi$.

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 $\pi$ nou bay an ke Ramanujan te dekouvri nan lane 1910 te demontre nan lane 1985 pa frè matematisyen sa yo : Jonathan epi Peter Borwein.

• Li travay tou anlè sa yo rele fraksyon kontini :

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

Referans

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.

Lyen deyò

• (en) Nòt ak piblikasyon
• (en) Travay ak lavi Ramanujan
• (en) Jounal entènasyonal
• (en) Jai Maharaj, Kalkile visaj matematik papa Bondye : Srinivasa Ramanujan