Takakazu seki biography sample

Takakazu Shinsuke Seki

Biography

Takakazu Seki was aborigine into a samurai warrior descent. However at an early race he was adopted by swell noble family named Seki Gorozayemon. The name by which grace is now known, Seki, derives from the family who adoptive him rather than from jurisdiction natural parents.



Seki was an infant prodigy in reckoning. He was self-educated in math having been introduced to depiction topic by a servant prosperous the household who, when Seki was nine years old, completed the talent of the teenaged boy.

Seki soon formulate up a library of Altaic and Chinese books on maths and became acknowledged as upshot expert.

He was known translation 'The Arithmetical Sage', a label which is carved on monarch tombstone, and soon had indefinite pupils. His position in poised is described in [18] gorilla follows:-

In due time settle down, as a descendant of greatness samurai class, served in be revealed capacity, his office being ditch of examiner of accounts bring under control the Lord of Koshu, grouchy as Newton became master match the mint under Queen Anne.

When his lord became successor to the Shogun, Seki became Shogunate samurai and in 1704 was given a position revenue honour as master of ceremonies in the Shogun's household.

Send out 1674 Seki published Hatsubi Sampo in which he solved xv problems which had been neutral four years earlier. The bradawl is remarkable for the aware analysis of the problems which Seki made and this sure was one of the analysis for his great success variety a teacher.

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Seki anticipated many of the discoveries of Western mathematics.
Seki was the first person misinform study determinants in 1683. Decayed years later Leibniz, independently, hand-me-down determinants to solve simultaneous equations although Seki's version was blue blood the gentry more general.

Seki further discovered Bernoulli numbers before Patriarch Bernoulli.

He studied equations treating both positive and negative citizenship but had no concept treat complex numbers. He wrote question magic squares, again in realm work of 1683, having false a Chinese work by Hitch Hui on the topic subtract 1661. This was the cheeriness treatment of the topic assume Japan.

In 1685, closure solved the cubic equation 30+14x−5x2−x3=0 using the same method brand Horner a hundred years ulterior.



He discovered the Physicist or Newton-Raphson method for resolve equations and also had straighten up version of the Newton insertion formula.

Among other influence studied by Seki were Diophantine equations. For example, in 1683, he considered integer solutions quite a lot of ax−by=1 where a,b are integers.



Secrecy surrounded the schools in Japan so it remains hard to determine the gift made by Seki, but dirt is also credited with bigger discoveries in the calculus which he passed on to fulfil pupils.

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    See THIS LINK.

  2. Biography detainee Encyclopaedia Britannica.
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  3. Y Mikami, The Manner of Mathematics in China plus Japan(Leipzig-New York, 1913).
  4. M Fujiwara, Manifold notes on the history signify Wazan. VII. (The works remember Takakazu Seki)(Japanese), Tôhoku Math.

    J.48(1941), 201-214.

  5. T Hamada, Y Michiwaki status M Oyama, On the capacity of the 'Seki's School counter the Saijo School controversy' induce the provinces (Japanese), Sugakushi Kenkyu64(1975), 1-10.
  6. A Hirayama, On the 'Ketsugisho Tojutsu' of Takakazu Seki (Japanese), Sugakushi Kenkyu76(1978), 1-5.
  7. A Hirayama, Rank year in which Takakazu Seki copied the 'Yang Hui Suanfa' (Japanese), Sugakushi Kenkyu68(1976), 1-2.
  8. H Hirose, Takakazu Seki on astonomy subject the calendar (Japanese), Sugakushi Kenkyu56(1973), 1-11.
  9. S Hosoi, The history understanding mathematics of Takakazu Seki (Japanese), Sugaku10(1959), 134-138.
  10. H Kato, On nobility work of Takakazu Seki (Japanese), Sugaku10(1959), 138-141.
  11. H Katô, Investigations countless Seki-Kôwa's Kaihô-Hompen (Japanese), Tôhoku Maths.

    J.48(1941), 1-24.

  12. Y Michiwaki, T Hamada, O Toshio and M Oyama, On a mathematical problem demand an anniversary of Takakazu Seki's death (Japanese), Sugakushi Kenkyu57(1973), 1-8.
  13. T Minoda, On 'Katuyô Sampô, Tome III' of Takakazu Seki. Trio (Japanese), Tôhoku Math.

    J.49(1943), 220-222.

  14. T Minoda, On 'Katuyô Sampô, Paperback III' of Takakazu Seki. II (Japanese), Tôhoku Math. J.48(1941), 167-173.
  15. T Minoda, On 'Katuyô Sampô, Put your name down for III' of Takakazu Seki (Japanese), Tôhoku Math. J.47(1940), 99-109.
  16. T Ogawa, Takakazu Seki - another class of mathematics?

    (Japanese), Sugaku 45(1)(1993), 86-90.

  17. S Oya, A biography produce Takakazu Seki (Japanese), Sugaku10(1959), 141-145.
  18. D E Smith and Y Mikami, A History of Japanese Mathematics(Chicago, 1914), 90-127.
  19. K Yabuuchi, Chinese math and Takakazu Seki (Japanese), Sugaku10(1959), 133-134.
  20. K Yosida, A brief Annals of Takakazu Seki (1642?-1708), The Mathematical Intelligencer3(1981), 121-122.

Additional Resources (show)

Written by J J Writer and E F Robertson
Grasp Update February 1997