Article ID: CBB000503127

Transmission of the mathematical theories of German mathematicians in China during the first half of the 20th century (2005)

unapi

Di, Li (Author)


Nei Menggu Shifan Daxue Xuebao (Ziran Kexue Ban)
Volume: 34
Pages: 110--115


Publication Date: 2005
Edition Details: [Translated title.] In Chinese.
Language: Chinese

The article deals with the transmission and spread of the mathematical theories originated by German mathematicians in China during the first half of the 20th century. The introduced mathematical knowledge are as following: C. Gauss'Fundamental Theorem of Algebra, the drawing of the regular 17-polygon and the discriminance of the drawing geometrical figures by the circle and line methods of elementary geometry, and logarithm table; the real number theories of R. Dedekind and G. Cantor; F. Klein's classification of geometry under the point of view of the transformation group, the classic problems of Doubling The Cube, Trisecting The Angle, and Squaring The Circle, and the mathematics education thought; D. Hilbert's fundamental geometry, algebraic field and ideal number theories. Some other mathematical knowledge originated from Germany are also introduced into China.?

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Description Includes discussion of the work of Gauss, Dedekind, Cantor, and Hilbert.


Citation URI
https://data.isiscb.org/isis/citation/CBB000503127/

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Authors & Contributors
Ferreirós, José
Vrhovski, Jan
Mechthild Koreuber
Chang, Ku-ming (Kevin)
Toffalori, Carlo
Ausejo Lifante, Elena
Journals
Historia Mathematica
Synthese
Science in Context
Rutherford Journal: The New Zealand Journal for the History and Philosophy of Science and Technology
Revue d'Histoire des Sciences Humaines
Paedagogica Historica: International Journal of the History of Education
Publishers
Raffaello Cortina Editore
UTET
Springer International
Elsevier
Crítica
Indiana University
Concepts
Mathematics
Cross-national interaction
Logic
Set theory
Geometry
Algebra
People
Hilbert, David
Dedekind, Richard
Cantor, Georg Ferdinand Ludwig
Noether, Emmy
Kronecker, Leopold
Weierstrass, Karl Theodor
Time Periods
20th century, early
19th century
Early modern
Modern
Medieval
Ancient
Places
Germany
China
United States
Japan
Italy
Europe
Institutions
Academy Sinica
Tsinghua University
Göttingen. Universität
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