Article ID: CBB000952277

Analysis of Xia Luanxiang's Knowledge in Differential and Integral Calculus (2008)

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Song, Hua (Author)
Bai, Xin (Author)


Nei Menggu Shifan Daxue Xuebao (Ziran Kexue Ban)
Volume: 37
Issue: 4
Pages: 566-672


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

Xia Luanxiang (1823-1864),a late Qing mathematician, solved some unsolved mathematical problems by applying mathematical knowledge in the Dai Wei Ji Shiji (?????),a 1859's translation of Loomis1' textbook Elements of Analytical Geometry and of the Differential and Integral Calculus (1851) and the first Chinese book on the subject. This application appeared in his Wan Xiang Yiyuan (????) in 1862.The present paper deals with his comprehend and understanding to differential and integral calculus by means of displaying some typical examples in his work.

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Description [Citation contributed by Duan Yaoyong.]


Citation URI
https://data.isiscb.org/isis/citation/CBB000952277/

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Authors & Contributors
Gao, Hongcheng
Ausejo Martínez, Elena
Stenhouse, Brigitte
Yan, Xue-min
Wilson, Robin J.
Rice, Adrian
Journals
Historia Mathematica
Revue d'Histoire des Mathématiques
Llull: Revista de la Sociedad Española de Historia de las Ciencias y de las Técnicas
Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Journal of Dialectics of Nature
Journal Electronique d'Histoire des Probabilités et de la Statistique
Publishers
Publicaciones de la Universidad de Alicante
Teachers College, Columbia University
Springer-Verlag
Oxford University Press
American Mathematical Society
Concepts
Mathematics
Calculus
Infinitesimals
Mathematical analysis
Differential and integral equations
Logic
People
Poincaré, Jules Henri
Euler, Leonhard
Cauchy, Augustin Louis
Weierstrass, Karl Theodor
Gauss, Carl Friedrich
Xia, Luanxiang
Time Periods
19th century
18th century
20th century, early
Ancient
20th century, late
20th century
Places
China
Spain
France
United States
Great Britain
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