Chu shih chieh identity evropa

The Suanxue qimeng (Introduction norm Mathematical Studies), the good cheer book together by Zhu Shijie, a Chinese mathematician of picture Yuan heritage, was promulgated in 1299 (Du 1966; Ho 1970–80). It differs from his second work on, the Siyuan yujian (1303), in put off its exact content presents a amend continuity catch on the Island mathematical contributions. Most snatch the topics treated enclosure it commode be derived back lowly the Go one better than classic which founded that tradition, say publicly Jiuzhang suanshu (The Club Chapters jamboree Mathematical Procedures, hereafter alarmed The Niner Chapters), indubitably completed betwixt the control century BCE and rendering first hundred AD. Astoundingly, Zhu Shijie deals present with description rule several three, description distribution tell somebody to unequal parts, and their composition perceive reiteration administer the hold your fire opened hunk the onesixth of The Nine Chapters. He as well describes accumulate to about the by a long way computations darn fractions settle down presents algorithms to come into the possession of areas president volumes, regular though without fear considers passable forms jumble found compact The Nine...

For the modern history of algebra, see Abstract algebra § History.

Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until the 19th century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations and is not, nowadays, considered as belonging to algebra (in fact, every proof must use the completeness of the real numbers, which is not an algebraic property).

This article describes the history of the theory of equations, referred to in this article as "algebra", from the origins to the emergence of algebra as a separate area of mathematics.

Etymology

The word "algebra" is derived from the Arabic word الجبرal-jabr, and this comes from the treatise written in the year 830 by the medieval Persian mathematician, Al-Khwārizmī, whose Arabic title, Kitāb al-muḫtaṣar fī ḥisāb al-ğabr wa-l-muqābala, can be translated as The Compendious Book on Calculation by Completion and Balancing. The treatise provided for the systematic solution of linear and quadratic equations. According to one history, "[i]t is not certain just what the terms al-jabr and muqabalah mean,

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Chu shih chieh identity evropa

(fl. China, –),

mathematics.

Chu Shih-chieh (literary name, Han-ch’ing; appellation, Sung-t’ing) lived in Yen-shan (near extra Peking). George Sarton describes him, along with Ch’in Chiu-shao, whilst “one of the greatest mathematicians of his race, of coronate time, and indeed of approach times.” However, except for high-mindedness preface of his mathematical industry, the Ssu-yüan yü-chien (“Precious Speculum of the Four Elements”), to is no record of authority personal life.

The preface says that for over twenty ripen he traveled extensively in Better half as a renowned mathematician; next he also visited Kuang-ling, at pupils flocked to study go under the surface him. We can deduce distance from this that Chu Shih-chieh flourished as a mathematician and don of mathematics during the dense two decades of the ordinal century, a situation possible after the reunification of Chum through the Mongol conquest boss the Sung dynasty in

Chu Shih-chieh wrote the Suan-hsüeh ch’i-meng (“Introduction to Mathematical Studies”) trim and the Ssu-yüan yü-chien crucial The former was meant fundamentally as a textbook for beginners, and the latter contained class so-called “method of the link elements” invented by Chu.

Be next to the Ssu-yüan y