Chapter ID: CBB257748222

Stacking Techniques and Higher-Degree Interpolation: Summation of Series and Interpolation in Ancient China (2021)

unapi

Xu, Zelin (Author)
Jiang, Xiaoyuan (Editor)


Springer
Pages: 397-412
Publication date: 2021
Language: English


Duo Ji, a branch of traditional Chinese mathematics developed in Song and Yuan Dynasties, is essentially a solution for summation of arithmetic progression of higher degree as we know today. Based on that, ancient mathematicians in China developed a solution for high-degree interpolation called Zhao Cha, a finite-difference time-domain method that is the inverse of Duo Ji.

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Authors & Contributors
Ang, Tian Se
Bréard, Andrea
Cook, Constance A.
Dauben, Joseph Warren
Du, Shi-ran
Goldschmidt, Asaf Moshe
Journals
Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Archive for History of Exact Sciences
Historia Scientiarum: International Journal of the History of Science Society of Japan
Zhongguo Keji Shiliao (China Historical Materials of Science and Technology)
Technai, An International Journal for Ancient Science and Technology
Annals of Science: The History of Science and Technology
Publishers
Catholic University of America
Cambridge University Press
World Scientific
Concepts
Arithmetic
Mathematics
East Asia, civilization and culture
Geometry
Astronomy
Translations
People
Euclid
Hua, Hengfang
Leibniz, Gottfried Wilhelm von
Li, Shanlan
Plato
Seki, Takakazu
Time Periods
Ancient
Song-Yuan dynasties (China, 960-1368)
Tang dynasty (China, 618-907)
10th century
13th century
17th century
Places
China
Rome (Italy)
Egypt
Greece
Japan
Ancient Near and Middle East: Egypt, Sumer, Babylon, Assyria, Mesopotamia, Palestine, Persia
Institutions
Jesuits (Society of Jesus)
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