• Re: FIBONACCI MERELY TRANSLATED A TEXT OF INDIAN MATHEMATICS

    From Dr. Jai Maharaj@1:229/2 to All on Wednesday, December 12, 2018 09:21:33
    XPost: soc.culture.indian, alt.fan.jai-maharaj, alt.religion.hindu
    XPost: uk.religion.hindu, sci.math, soc.culture.usa
    XPost: free.bharat, soc.culture.india
    From: alt.fan.jai-maharaj@googlegroups.com

    In article <PT2QD.71637$qe7.60825@fx01.iad>,
    FBInCIAnNSATerroristSlayer <FBInCIAnNSATe...@yahoo.com> posted:

    Since Mathematicians and Math Historians admit that
    Fibonacci sequence was actually invented by Indian
    Mathematicians a couple of hundred years earlier, the math
    body should immediately change the name of Fibonacci
    Sequence to Virahanka/Pingala Sequence.

    FIBONACCI MERELY TRANSLATED A TEXT OF INDIAN MATHEMATICS

    Historians of mathematics are well aware that Fibonacci (of
    the numbers fame) merely translated a text of Indian
    mathematics, which introduced the decimal number system to
    Europe.

    http://www.sfs.uni-tuebingen.de/~dg/sdarticle.pdf

    (Cornell University Mathematics Professor)
    Steven Strogatz? @stevenstrogatz

    Fibonacci was intimately familiar with Indian math, and
    "his" sequence was well known to Indian linguists and poets

    https://en.wikipedia.org/wiki/Fibonacci_number

    Fibonacci numbers are named after Italian mathematician
    Leonardo of Pisa, later known as Fibonacci. They appear to
    have first arisen as early as 200 BC in work by Pingala on
    enumerating possible patterns of poetry formed from
    syllables of two lengths. In his 1202 book Liber Abaci,
    Fibonacci introduced the sequence to Western European
    mathematics,[6] although the sequence had been described
    earlier in Indian mathematics.

    Origins

    The Fibonacci sequence appears in Indian mathematics, in
    connection with Sanskrit prosody.[8][13] In the Sanskrit
    poetic tradition, there was interest in enumerating all
    patterns of long (L) syllables of 2 units duration,
    juxtaposed with short (S) syllables of 1 unit duration.
    Counting the different patterns of successive L and S with
    a given total duration results in the Fibonacci numbers:
    the number of patterns of duration m units is Fm + 1

    Knowledge of the Fibonacci sequence was expressed as early
    as Pingala (c.450 BC–200 BC). Parmanand Singh cites
    Pingala's cryptic formula misrau cha ("the two are mixed")
    and scholars who interpret it in context as saying that the
    number of patterns for m beats (Fm+1) is obtained by adding
    one [S] to the Fm cases and one [L] to the Fm-1 cases. [14]
    Bharata Muni also expresses knowledge of the sequence in
    the Natya Shastra (c. 100 BC–c. 350 AD).[15][7] However,
    the clearest exposition of the sequence arises in the work
    of Virahanka (c. 700 AD), whose own work is lost, but is
    available in a quotation by Gopala (c. 1135):

    Dhanyavaad for posting the article.

    Jai Maharaj, Jyotishi Om Shanti http://groups.google.com/group/alt.fan.jai-maharaj

    --- SoupGate-Win32 v1.05
    * Origin: www.darkrealms.ca (1:229/2)