Leonhard Euler's use and understanding of mathematical transcendence

DOI10.1016/j.hm.2012.06.003zbMath1253.01008OpenAlexW1987579751MaRDI QIDQ452112

Bruce J. Petrie

Publication date: 19 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.hm.2012.06.003

zbMATH Keywords

historyquantitydefinitionnumbertranscendental

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of number theory (11-03) Transcendence (general theory) (11J81)

Related Items (3)

Geometry and analysis in Anastácio da Cunha's calculus ⋮ The origins of Euler's early work on continued fractions ⋮ On transcendental numbers: new results and a little history

Cites Work

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• Some aspects of Euler's theory of series: Inexplicable functions and the Euler-Maclaurin summation formula
• The first modern definition of the sum of a divergent series: An aspect of the rise of 20th century mathematics
• Differentials and differential coefficients in the Eulerian foundations of the calculus.
• Functions, functional relations, and the laws of continuity in Euler
• The mathematics of the past: distinguishing its history from our heritage
• Exceptions and counterexamples: understanding Abel's comment on Cauchy's theorem
• Some Remarks and Problems in Number Theory Related to the Work of Euler
• THE DEVELOPMENT AND PRESENT STATE OF THE THEORY OF TRANSCENDENTAL NUMBERS
• Euler and number theory

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