The origins of Euler's early work on continued fractions

DOI10.1016/j.hm.2013.12.004zbMath1295.01005OpenAlexW2154620438MaRDI QIDQ2447810

Rosanna Cretney

Publication date: 29 April 2014

Published in: Historia Mathematica (Search for Journal in Brave)

Full work available at URL: http://oro.open.ac.uk/39585/1/cfpaper_AAM_web.pdf

zbMATH Keywords

continued fractionsRiccati equationBernoulliEuler18th century

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) Explicit solutions, first integrals of ordinary differential equations (34A05) Foundations: limits and generalizations, elementary topology of the line (26A03) History of mathematics in the 17th century (01A45)

Cites Work

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• Leonhard Euler's use and understanding of mathematical transcendence
• Leonhardi Euleri opera omnia: a centenary project
• An approximation technique, and its use by Wallis and Taylor
• Leonhard Euler: The first St. Petersburg years (1727--1741)
• An essay on continued fractions
• Leonhard Eulers Mathematische Notizbücher
• Catching Proteus: the collaborations of Wallis and Brounker. I. Squaring the circle

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