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Some mathematical problems and algorithms in Fibonacci’s “Liber Abaci” similar to those in ancient China. (Chinese. English summary) Zbl 1082.01004

Here the Liber Abaci is taken from E. Sigler’s recent English translation of the text [Fibonacci’s Liber Abaci (Sources and Studies in the History of Mathematics and Physical Sciences, New York, NY: Springer) (2002; Zbl 1032.01046)] and “Chinese mathematics” mainly refers to various arithmetical problems and methods from the Chinese tradition, mainly “Sunzi’s problem” (first known example of the Chinese remainder problem, linear congruences), “the hundred fowls problem”, proportional sharing and the rule of double false position. The analysis is purely analogical.

MSC:

01A35 History of mathematics in Late Antiquity and medieval Europe
01A25 History of Chinese mathematics

Biographic References:

Leonardo of Pisa

Citations:

Zbl 1032.01046
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