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(”µŒWµÄšw¼{·¨,mathematical induction)
???? ??? ????? ???? ???? ??? ?? ????. ??? ??? ??? ???? ?? ????. ???, ?? ?? ????? ??? ?? ?? ?? ??? ???? ??? ??? ??. ?? ???? ???? ???? ?? ??? ??? ??? ???? ??? ??? ??? ?? ???? ?? ???. ?? ?? ??? ??? ??? ??? ??? ?? ???? ??? ???. ??? ??? ??? ???? ??? ?? ???? ???? ??? ?? ???? ????? ??? ???? ?? ??. ???? ??? ?? ???? ??? ??? ???? ??? ???? ???? ?? ????? ?? ??? ??? ??.
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??? ??? ???? ??? ?? ????? ??? ???? ?? ???? ???? 2?? "?? ??"(cyclic method) ??? ?? ? ??.".
Induction Bussey:
Cajori
(1918), p. 197
The process of reasoning called "Mathematicla Induction" has had several independent origins. It has been traced back to the Swiss Jakob (James) Bernoulli, the Frenchman B. Pascal and P. Fermat, and the Italian F. Maurolycus. [...] By reading a little between the lines one can find traces of mathematical induction still earlier, in the writings of the Hindus and the Greeks, as, for instance, in the "cyclic method" of Bhaskara, and in Euclid`s proof that the number of primes is infinite.
????? 1000? ?? ? ??? ?? ?? ?? ???? ?? ??? ???? ? ??? ????.
Katz (1998), p. 255-259
"Another important idea introduced by al-Karaji and continued by al-Samaw`al and others was that of an inductive argument for dealing with certain arithmetic sequences."
??? ??? ??? ???? ??? ??? ????? ??? ??? ????, ???? ???? ?? ??? ??? ? ?? ????? ?????(Francesco Maurolico)?, ?? 1575?? ?? ¡´Arithmeticorum libri duo¡µ?? ?? ??? ?? ?? n?? ??? ??? n2? ?? ????. ???? ?? ????? ???? ??? ??? ? ??? ? ???? ???? ????? ????.