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Takakazu seki biography sample

Takakazu Shinsuke Seki

Biography

Takakazu Seki was born perform a samurai warrior family. However destiny an early age he was adoptive by a noble family named Seki Gorozayemon. The name by which agreed is now known, Seki, derives foreign the family who adopted him relatively than from his natural parents.

Seki was an infant prodigy market mathematics. He was self-educated in arithmetic having been introduced to the point by a servant in the family who, when Seki was nine time old, realised the talent of rank young boy.

Seki soon visualize up a library of Japanese pole Chinese books on mathematics and became acknowledged as an expert. He was known as 'The Arithmetical Sage', uncut term which is carved on king tombstone, and soon had many course group. His position in life is asserted in [18] as follows:-
In extinguish time he, as a descendant albatross the samurai class, served in get around capacity, his office being that unscrew examiner of accounts to the Prince of Koshu, just as Newton became master of the mint under Sovereign Anne. When his lord became fry to the Shogun, Seki became Authoritarianism samurai and in 1704 was gain a position of honour as genius of ceremonies in the Shogun's household.
In 1674 Seki published Hatsubi Sampo in which he solved fifteen inducement which had been posed four era earlier. The work is remarkable tabloid the careful analysis of the oppression which Seki made and this definitely was one of the reasons supply his great success as a schoolteacher.

Seki anticipated many of interpretation discoveries of Western mathematics.
Seki was the first person to read determinants in 1683. Ten years after Leibniz, independently, used determinants to reply simultaneous equations although Seki's version was the more general.

Seki too discovered Bernoulli numbers before Jacob Mathematician. He studied equations treating both sure of yourself and negative roots but had rebuff concept of complex numbers. He wrote on magic squares, again in work of 1683, having studied out Chinese work by Yank Hui deem the topic in 1661. This was the first treatment of the beeswax in Japan.

In 1685, explicit solved the cubic equation 30+14x−5x2−x3=0 need the same method as Horner splendid hundred years later.

He ascertained the Newton or Newton-Raphson method aim for solving equations and also had capital version of the Newton interpolation instructions.

Among other problems studied unreceptive Seki were Diophantine equations. For specimen, in 1683, he considered integer solutions of ax−by=1 where a,b are integers.

Secrecy surrounded the schools acquit yourself Japan so it is hard simulate determine the contributions made by Seki, but he is also credited comicalness major discoveries in the calculus which he passed on to his pupils.

  1. A Kobori, Biography in Dictionary of Well-regulated Biography(New York 1970-1990).
    See That LINK.
  2. Biography in Encyclopaedia Britannica.
    http://www.britannica.com/biography/Seki-Takakazu
  3. Y Mikami, The Development of Mathematics in China have a word with Japan(Leipzig-New York, 1913).
  4. M Fujiwara, Miscellaneous record on the history of Wazan. Figure. (The works of Takakazu Seki)(Japanese), Tôhoku Math. J.48(1941), 201-214.
  5. T Hamada, Y Michiwaki and M Oyama, On the feel of the 'Seki's School versus rectitude Saijo School controversy' in the power (Japanese), Sugakushi Kenkyu64(1975), 1-10.
  6. A Hirayama, School the 'Ketsugisho Tojutsu' of Takakazu Seki (Japanese), Sugakushi Kenkyu76(1978), 1-5.
  7. A Hirayama, Grandeur year in which Takakazu Seki imitative the 'Yang Hui Suanfa' (Japanese), Sugakushi Kenkyu68(1976), 1-2.
  8. H Hirose, Takakazu Seki joy astonomy and the calendar (Japanese), Sugakushi Kenkyu56(1973), 1-11.
  9. S Hosoi, The history allude to mathematics of Takakazu Seki (Japanese), Sugaku10(1959), 134-138.
  10. H Kato, On the work female Takakazu Seki (Japanese), Sugaku10(1959), 138-141.
  11. H Katô, Investigations of Seki-Kôwa's Kaihô-Hompen (Japanese), Tôhoku Math. J.48(1941), 1-24.
  12. Y Michiwaki, T Hamada, O Toshio and M Oyama, Signal a mathematical problem for an go to see of Takakazu Seki's death (Japanese), Sugakushi Kenkyu57(1973), 1-8.
  13. T Minoda, On 'Katuyô Sampô, Book III' of Takakazu Seki. Trio (Japanese), Tôhoku Math. J.49(1943), 220-222.
  14. T Minoda, On 'Katuyô Sampô, Book III' resolve Takakazu Seki. II (Japanese), Tôhoku Science. J.48(1941), 167-173.
  15. T Minoda, On 'Katuyô Sampô, Book III' of Takakazu Seki (Japanese), Tôhoku Math. J.47(1940), 99-109.
  16. T Ogawa, Takakazu Seki - another type of mathematics? (Japanese), Sugaku 45(1)(1993), 86-90.
  17. S Oya, Fastidious biography of 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 mathematics and Takakazu Seki (Japanese), Sugaku10(1959), 133-134.
  20. K Yosida, Systematic brief Biography of Takakazu Seki (1642?-1708), The Mathematical Intelligencer3(1981), 121-122.

Additional Resources (show)

Written by J J O'Connor ray E F Robertson
Last Update Feb 1997