The origins of Euler’s early work on continued fractions. (English. French summary) Zbl 1295.01005
In this paper, the author examines “Euler’s early work on the elementary properties of continued fractions in the 1730s, and [investigates] its possible links to previous writings on continued fractions by authors such as William Brouncker. By analysing the content of Euler’s first paper on continued fractions, De fractionibus continuis dissertatio …[she concludes] that …Euler’s work on continued fractions initially arose not from earlier writings on continued fractions, but from a wish to solve the Riccati differential equation”.
MSC:
| 01A50 | History of mathematics in the 18th century |
| 01A45 | History of mathematics in the 17th century |
| 26A03 | Foundations: limits and generalizations, elementary topology of the line |
| 34A05 | Explicit solutions, first integrals of ordinary differential equations |
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