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2013, № 12 (161)



Shukman E.V. NON-DECIMAL FRACTIONS IN PAPERS BY G.W. LEIBNIZ AND L. EULERThe article provides a comparative analysis between Leibniz's and Euler's results associated with non-decimal fractions. The study of papers, letters and unpublished manuscripts shows that Leibniz first explored binary fractions and tried to apply them to study transcendental numbers. However he had no significant progress because he did not use an effective method for converting fractional numbers into binary system. Euler knew the method for converting fractional numbers similar to the modern, and successfully applied binary fraction representations to calculate sums of series and infinite products.Key words: history of mathematica, non-decimal fractions, Gottfried Wilhelm Leibniz, Leonhard Euler.

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About this article

Author: Shuhman E.V.

Year: 2013


Editor-in-chief
Sergey Aleksandrovich
MIROSHNIKOV

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