Geometry and analysis in Euler's integral calculus

DOI10.1007/s00407-016-0179-yzbMath1360.01021OpenAlexW2349629547MaRDI QIDQ504100

Maria Rosaria Enea, Giovanni Capobianco, Giovanni Ferraro

Publication date: 25 January 2017

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-016-0179-y

zbMATH Keywords

differential equations18th-century integral calculusgeometric representation of definite integralsinfinite integrals as handled by Euler

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of ordinary differential equations (34-03) Bibliographic studies (01A90) History of integral equations (45-03)

Related Items (4)

Toward a history of mathematics focused on procedures ⋮ Analytic and arithmetic methods in Liouville's identities ⋮ Euler and the structure of mathematics ⋮ A relationship between the tractrix and logarithmic curves with mechanical applications

Cites Work

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• Arguments on motivation in the rise and decline of a mathematical theory; the Construction of equations, 1637 - ca. 1750
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• Some aspects of Euler's theory of series: Inexplicable functions and the Euler-Maclaurin summation formula
• The graphical integration of ordinary differential equations
• Differentials and differential coefficients in the Eulerian foundations of the calculus.
• Functions, functional relations, and the laws of continuity in Euler
• The foundational aspects of Gauss's work on the hypergeometric, factorial and digamma functions
• Tractional Motion and the Legitimation of Transcendental Curves

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