Chinese Mathematics in the Thirteenth Century: The Shu-shu Chiu-chang of Chʻin Chiu-shaoDover Publications, 2005 - 555 pàgines An exploration of the life and work of the thirteenth-century mathematician Ch'in, this fascinating book examines a range of mathematical issues that reflect Chinese life of a millennium ago. Its first part consists of four closely related studies of Ch'in and his work. The first study brings together what is known of the mathematician's life and of the history of his only extant work, the Shu-shu chiu-chang. Subsequent studies examine the entire range of mathematical techniques and problems found within Ch'in's book. The core of this book consists of an in-depth study of what modern mathematicians still refer to as the Chinese remainder theorem for the solution of indeterminate equations of the first degree. This was Ch'in's most original contribution to mathematics--so original that no one could correctly explain Ch'in's procedure until the early nineteenth century. This volume's concluding study unites information on artisanal, economic, administrative, and military affairs dispersed throughout Ch'in's writings, providing rare insights into thirteenth-century China. |
Continguts
General Characteristics of Chinese | 10 |
Biography of Chin Chiushao | 22 |
From Chou Mis | 31 |
Copyright | |
No s’hi han mostrat 10 seccions
Altres edicions - Mostra-ho tot
Chinese Mathematics in the Thirteenth Century: The Shu-shu Chiu-chang of ... Ulrich Libbrecht Visualització de fragments - 1973 |
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algebra algorithm applied Bibliography Biernatzki Brahmagupta calendar Ch'ien Pao-tsung Ch'in Chiu-shao ch'iu-i Chang Tun-jên Chapter chi-shu chih chin China Chinese mathematicians Chinese mathematics Chiu-chang suan-shu Chou coefficient continued fractions counting board Datta and Singh decimal Diagram divided division dynasty example explanation feet fên Fibonacci Figure formula given gives greatest common divisor history of mathematics Huang Hummel I-ching I-hsing indeterminate analysis indeterminate equations indeterminate problems Indian mathematics kuan Li Yen liang Literally mathe matical Matthiessen means Mikami modern moduli multiply Needham quotient reduce relatively prime remainder problem rice says sexagenary sexagenary cycle Shên shêng shih Shu-shu chiu-chang solution solving the congruences suan-ching suan-fa subtract Sung Ching-ch'ang T'ang t'ien-yüan-i ta-yen rule term theory ting-mu ting-shu tion translation ts'ung-shu Vogel Wang Wang Ling wên Wylie Yang Hui yen-mu yen-shu yüan-shu Yung-lo ta-tien yung-shu Yushkevitch