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|Title:||On the Egyptian method of decomposing 2/n into unit fractions||Authors:||Abdulaziz, Abdulrahman Ali||Affiliations:||Department of Mathematics||Keywords:||Rhind papyrus
|Issue Date:||2008||Part of:||Journal of historia mathematica||Volume:||35||Issue:||1||Start page:||1||End page:||18||Abstract:||
A fraction whose numerator is one is called a unit fraction. Unit fractions have been the source of one of the most intriguing mysteries about the mathematics of antiquity. Except for 2/3, the ancient Egyptians expressed all fractions as sums of unit fractions. In particular, The Rhind Mathematical Papyrus (RMP) contains the decomposition of 2/n as the sum of unit fractions for odd n ranging from 5 to 101. The way 2/n was decomposed has been widely debated and no general method that works for all n has ever been discovered. In this paper we provide an elementary procedure that reproduces the decompositions as found in the RMP.
|URI:||https://scholarhub.balamand.edu.lb/handle/uob/2331||DOI:||10.1016/j.hm.2007.03.002||Ezproxy URL:||Link to full text||Type:||Journal Article|
|Appears in Collections:||Department of Mathematics|
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