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History of Science and Engineering

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Approximate Calculation of the Constant e in Published and Unpublished Works of Leonhard Euler
E.V. Shukhman

The article observes Euler’s results related to calculation of the constant e including unpublished notes from his notebooks. In the first time we discovered Euler used rational Pade approximants for exponential function and also calculated through a series the approximate value of Gelfond’s constant eπ.
Key words: history of mathematics; Leonhard Euler; series; continued fractions; calculation of the constant e; Gelfond’s constant.

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Pp. 19-28.

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