Article ID: CBB000933544

Wu's Method and Japanese Geometry (2008)

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Xu, Zelin (Author)


Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Volume: 27
Pages: 471--484


Publication Date: 2008
Edition Details: [Translated title.] In Chinese.
Language: Chinese

Abstract In anaqlysing the mathematical characteristics of algebraical geometry in Song and Yuan Dynasties, this paper Points out that the unique character of Song and Yuan metamathematics consists in its abstract and formalized algebraic operation, explores the process of Wasan absorbing the Tianyuan method and algebraical geometry as well as the development of Japanese geometry, discusses the accomplishment in the field of eliminant of polynomial equation in Wasan and its significance to modern computational algebra, and finally introduces by concrete case the function of the mathematical mechanization including Wu's mothod and Grbner basis-method in Japanese geometry.

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Citation URI
https://data.isiscb.org/isis/citation/CBB000933544/

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Authors & Contributors
Zhou, Chang
Hiraoka, Ryuji
Halák, Jan
Zhang, Jianke
Yang, Zezhong
Xu, Zelin
Journals
Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
科学史研究 Kagakusi Kenkyu (History of Science)
Historia Scientiarum: International Journal of the History of Science Society of Japan
Synthese
Suhayl: Journal for the History of the Exact and Natural Sciences in Islamic Civilisation
Nei Menggu Shifan Daxue Xuebao (Ziran Kexue Ban)
Publishers
Science Books
Princeton University Press
Presses Universitaires de Vincennes
Librairie Philosophique J. Vrin
Concepts
East Asia, civilization and culture
Transmission of ideas
Mathematics
Geometry
Algebra
Cross-cultural interaction; cultural influence
People
Takebe, Katahiro
Zhu, Shijie
Ricci, Matteo
Merleau-Ponty, Maurice
Lagrange, Joseph Louis
Descartes, René
Time Periods
Edo period (Japan, 1603-1868)
19th century
Kamakura period (Japan, 1192-1333)
Song-Yuan dynasties (China, 960-1368)
Medieval
20th century
Places
Japan
China
Korea
Institutions
Jesuits (Society of Jesus)
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