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Kerala School of Astronomy and Mathematics
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Kerala School of Astronomy and Mathematics
please note:
- the content below is remote from Wikipedia
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{{Use dmy dates|date=March 2013}}- the content below is remote from Wikipedia
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Contributions
Infinite series and calculus
The Kerala school has made a number of contributions to the fields of infinite series and calculus. These include the following (infinite) geometric series:{{block indent| frac{1}{1-x} = 1 + x + x^2 + x^3 + cdots text{ for } |x|- {{Citation
| last=Bressoud
| first=David
| title=Was Calculus Invented in India?
| journal=The College Mathematics Journal (Math. Assoc. Amer.)
| volume=33
| issue=1
| year=2002
| pages=2â€“13
| jstor=1558972
| doi=10.2307/1558972
}}.
| first=David
| title=Was Calculus Invented in India?
| journal=The College Mathematics Journal (Math. Assoc. Amer.)
| volume=33
| issue=1
| year=2002
| pages=2â€“13
| jstor=1558972
| doi=10.2307/1558972
}}.
- Gupta, R. C. (1969) "Second Order of Interpolation of Indian Mathematics", Indian Journal of History of Science 4: 92-94
- {{Citation
| last1=Hayashi
| first1=Takao
| chapter=Indian Mathematics
| year=2003
| editor1-last=Grattan-Guinness
| editor1-first=Ivor
| title=Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences
| volume=1, pp. 118-130
| place=Baltimore, MD
| publisher=The Johns Hopkins University Press, 976 pages
| publication-year=
| isbn=0-8018-7396-7
}}.
| first1=Takao
| chapter=Indian Mathematics
| year=2003
| editor1-last=Grattan-Guinness
| editor1-first=Ivor
| title=Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences
| volume=1, pp. 118-130
| place=Baltimore, MD
| publisher=The Johns Hopkins University Press, 976 pages
| publication-year=
| isbn=0-8018-7396-7
}}.
- {{Citation
| last=Joseph
| first=G. G.
| year=2000
| title=The Crest of the Peacock: The Non-European Roots of Mathematics
| place=Princeton, NJ
| publisher=Princeton University Press
| isbn=0-691-00659-8
| url=https://www.amazon.com/Crest-Peacock-George-Gheverghese-Joseph/dp/0691006598/
}}. | first=G. G.
| year=2000
| title=The Crest of the Peacock: The Non-European Roots of Mathematics
| place=Princeton, NJ
| publisher=Princeton University Press
| isbn=0-691-00659-8
| url=https://www.amazon.com/Crest-Peacock-George-Gheverghese-Joseph/dp/0691006598/
- {{Citation
| last=Katz
| first=Victor J.
| title=Ideas of Calculus in Islam and India
| journal=Mathematics Magazine (Math. Assoc. Amer.)
| volume=68
| issue=3
| year=1995
| pages=163â€“174
| jstor=2691411
| doi=10.2307/2691411
}}. | first=Victor J.
| title=Ideas of Calculus in Islam and India
| journal=Mathematics Magazine (Math. Assoc. Amer.)
| volume=68
| issue=3
| year=1995
| pages=163â€“174
| jstor=2691411
| doi=10.2307/2691411
- Parameswaran, S., â€˜Whishâ€™s showroom revisitedâ€™, Mathematical gazette 76, no. 475 (1992) 28-36
- {{Citation | last = Pingree | first = David | authorlink = David Pingree | title = Hellenophilia versus the History of Science | year = 1992 | journal = Isis | volume = 83 | issue = 4 | pages = 554â€“563 | jstor = 234257 | doi = 10.1086/356288|bibcode = 1992Isis...83..554P }}
- {{Citation
| last=Plofker
| first=Kim
| title=An Example of the Secant Method of Iterative Approximation in a Fifteenth-Century Sanskrit Text
| journal=Historia Mathematica
| volume=23
| issue=3
| year=1996
| pages=246â€“256
| doi=10.1006/hmat.1996.0026
}}.
| first=Kim
| title=An Example of the Secant Method of Iterative Approximation in a Fifteenth-Century Sanskrit Text
| journal=Historia Mathematica
| volume=23
| issue=3
| year=1996
| pages=246â€“256
| doi=10.1006/hmat.1996.0026
}}.
- {{Citation
| last=Plofker
| first=Kim
| title=The "Error" in the Indian "Taylor Series Approximation" to the Sine
| journal=Historia Mathematica
| volume=28
| issue=4
| year=2001
| pages=283â€“295
| doi=10.1006/hmat.2001.2331
}}.
| first=Kim
| title=The "Error" in the Indian "Taylor Series Approximation" to the Sine
| journal=Historia Mathematica
| volume=28
| issue=4
| year=2001
| pages=283â€“295
| doi=10.1006/hmat.2001.2331
}}.
- {{Citation
| last1=Plofker
| first1=K.
| last2=
| first2=
| chapter=Mathematics of India
| pages = 385â€“514
| date=20 July 2007
| editor1-last=Katz
| editor1-first=Victor J.
| title=The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook
| volume=
| place=Princeton, NJ
| publisher=Princeton University Press, 685 pages
| isbn=0-691-11485-4
| publication-date=2007
}}.
| first1=K.
| last2=
| first2=
| chapter=Mathematics of India
| pages = 385â€“514
| date=20 July 2007
| editor1-last=Katz
| editor1-first=Victor J.
| title=The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook
| volume=
| place=Princeton, NJ
| publisher=Princeton University Press, 685 pages
| isbn=0-691-11485-4
| publication-date=2007
}}.
- C. K. Raju. 'Computers, mathematics education, and the alternative epistemology of the calculus in the YuktibhÃ¢sÃ¢', Philosophy East and West 51, University of Hawaii Press, 2001.
- {{Citation
| last=Roy
| first=Ranjan
| title=Discovery of the Series Formula for pi by Leibniz, Gregory, and Nilakantha
| journal=Mathematics Magazine (Math. Assoc. Amer.)
| volume=63
| issue=5
| year=1990
| pages=291â€“306
| jstor=2690896
| doi=10.2307/2690896
}}.
| first=Ranjan
| title=Discovery of the Series Formula for pi by Leibniz, Gregory, and Nilakantha
| journal=Mathematics Magazine (Math. Assoc. Amer.)
| volume=63
| issue=5
| year=1990
| pages=291â€“306
| jstor=2690896
| doi=10.2307/2690896
}}.
- JOURNAL, Sarma, K. V., Hariharan, S., 1991, Yuktibhasa of Jyesthadeva : a book of rationales in Indian mathematics and astronomy - an analytical appraisal, Indian J. Hist. Sci., 26, 2, 185â€“207,
- {{Citation
| last=Singh
| first=A. N.
| title=On the Use of Series in Hindu Mathematics
| journal=Osiris
| volume=1
| issue=
| year=1936
| pages=606â€“628
| jstor=301627
| doi=10.1086/368443
}} | first=A. N.
| title=On the Use of Series in Hindu Mathematics
| journal=Osiris
| volume=1
| issue=
| year=1936
| pages=606â€“628
| jstor=301627
| doi=10.1086/368443
- {{Citation
| last1=Stillwell
| first1=John
| year=2004
| edition=2
| title=Mathematics and its History
| place=Berlin and New York
| publisher=Springer, 568 pages
| isbn=0-387-95336-1
| url=https://www.amazon.com/Mathematics-its-History-John-Stillwell/dp/0387953361/
}}.
| first1=John
| year=2004
| edition=2
| title=Mathematics and its History
| place=Berlin and New York
| publisher=Springer, 568 pages
| isbn=0-387-95336-1
| url=https://www.amazon.com/Mathematics-its-History-John-Stillwell/dp/0387953361/
}}.
- Tacchi Venturi. 'Letter by Matteo Ricci to Petri Maffei on 1 Dec 1581', Matteo Ricci S.I., Le Lettre Dalla Cina 1580â€“1610, vol. 2, Macerata, 1613.
External links
{{commons category|Kerala school of astronomy and mathematics}}- The Kerala School, European Mathematics and Navigation, 2001.
- weblink" title="web.archive.org/web/20021015003732weblink">An overview of Indian mathematics, MacTutor History of Mathematics archive, 2002.
- Indian Mathematics: Redressing the balance, MacTutor History of Mathematics archive, 2002.
- Keralese mathematics, MacTutor History of Mathematics archive, 2002.
- Possible transmission of Keralese mathematics to Europe, MacTutor History of Mathematics archive, 2002.
- "Indians predated Newton 'discovery' by 250 years" phys.org, 2007
- content above as imported from Wikipedia
- "Kerala School of Astronomy and Mathematics" does not exist on GetWiki (yet)
- time: 4:06pm EDT - Sat, Aug 24 2019
- "Kerala School of Astronomy and Mathematics" does not exist on GetWiki (yet)
- time: 4:06pm EDT - Sat, Aug 24 2019
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