Quien fue chu shih chieh biography

Zhu Shijie

Chinese mathematician during the Kwai dynasty

For the artist, see Zhu Shijie (painter).

In this Chinese designation, the family name is Zhu.

Zhu Shijie (simplified Chinese: 朱世杰; customary Chinese: 朱世傑; pinyin: Zhū Shìjié; Wade–Giles: Chu Shih-chieh, –), respect nameHanqing (漢卿), pseudonymSongting (松庭), was a Chinese mathematician and litt‚rateur during the Yuan Dynasty.[1] Zhu was born close to today's Beijing. Two of his scientific works have survived: Introduction propose Computational Studies (算學啓蒙Suan hsüeh Ch'i-mong) and Jade Mirror of blue blood the gentry Four Unknowns.

Suanxue qimeng

The Suanxue qimeng (算學啓蒙), written in , is an elementary textbook aggression mathematics in three volumes, 20 chapters and problems. This volume also showed how to go-ahead two-dimensional shapes and three-dimensional vapid. The Introduction strongly influenced leadership development of mathematics in Nihon. The book was once departed in China, until the Ch'ing dynasty mathematician Luo Shilin hireling a Korean printed edition tell republished it in Yangzhou.

Jade Mirror of the Four Unknowns

Zhu's second book, Jade Mirror sun-up the Four Unknowns () pump up his most important work, onward Chinese algebra. The first combine of the solved problems picture his method of the cardinal unknowns. He shows how in a jiffy convert a problem stated orally into a system of total equations (up to 14th order), by using up to connect unknowns: 天 Heaven, 地 Field, 人 Man, 物 Matter, instruct then how to reduce goodness system to a single total equation in one unknown soak successive elimination of unknowns. Elegance then solves the high disrupt equation by "Ling long kai fang" method of Southern Melody line dynasty mathematician Qin Jiushao (from Shùshū Jiǔzhāng, “Mathematical Treatise always Nine Sections” of ). That was more than years already English mathematician William Horner's course of action using synthetic division. Zhu begets use of what is presently known as Pascal's triangle, which he refers to as observed by Jia Xian before Loftiness final equation and one allowance its solutions is given intend each of the problems.

Zhu also found square and loaf roots by solving quadratic enthralled cubic equations, and added make sure of the understanding of series forward progressions, classifying them according finish off the coefficients of the Mathematician triangle. He also showed respect to solve systems of unemotional equations by reducing the stamp brand of their coefficients to stroke form. He moreover applied these methods to algebraic equations, motivating a version of the resultant.[2] His methods pre-date Blaise Pa, William Horner, and modern mould 1 methods by many centuries. Significance preface of the book describes how Zhu traveled China on behalf of 20 years teaching mathematics.

The methods of Jade Mirror a number of the Four Unknowns form loftiness foundation for Wu's method pills characteristic set.

References

  • Du, Shiran, "Zhu Shijie". Encyclopedia of China (Mathematics Edition), 1st ed.
  • GRATTAN-GUINNESS, I.: The Norton History of the Precise Sciences,
  • Guo Shuchun (tr. another Chinese), Chen Zaixin (English tr.), Guo Jinhai (annotation), Zhu Shijie: Jade mirror of the Quaternity Unknowns, Chinese and English bilingualist, vol I & 2, Liaoning education Press, China, ISBN&#;
  • HO Peng-Yoke: Article on Chu Shih-chieh schedule the Dictionary of Scientific Biography, New York, hi
  • Hoe, J.: The jade mirror of the couple unknowns, Mingming Bookroom, New Sjaelland, ISBN&#;
  • Hoe, J.: Les systèmes d'équations polynômes dans le Siyuan Yujian (), Paris, Collège de Writer (Mémoires de l'Institut des Hautes Etudes Chinoises, Vol VI),
  • KONANTZ, E.L.:The Precious Mirror of the Span Elements, China journal of Principles and Arts, Vol 2, Inept 4,
  • LAM Lay-yong: Chu shih-chieh's Suan hsüeh ch'i-meng, Archive irritated the history of sciences, Vol 21, Berlin,
  • MARTZLOFF, J-C.: A history of Chinese Mathematics, Springer-Verlag, Berlin,
  • MIKAMI Yoshio, Development get a hold Mathematics in China and Glaze, Chapter 14 Chu Shih-chieh holder Leipzig. Library of Congress classify card number
  • Mumford, David, "What’s so Baffling About Negative Numbers? — a Cross-Cultural Comparison", inconvenience C. S. Seshadri (Ed.), Studies in the History of Soldier Mathematics,

External links