Infinitely small quantities in Cauchy's textbooks
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Publication:1099149
DOI10.1016/0315-0860(87)90045-0zbMath0638.01012OpenAlexW1994615143MaRDI QIDQ1099149
Publication date: 1987
Published in: Historia Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0315-0860(87)90045-0
Related Items (21)
Toward a history of mathematics focused on procedures ⋮ Cauchy's infinitesimals, his sum theorem, and foundational paradigms ⋮ Nonstandard Analysis, Infinitesimals, and the History of Calculus ⋮ Who gave you the Cauchy-Weierstrass tale? The dual history of rigorous calculus ⋮ Stevin numbers and reality ⋮ A Cauchy-Dirac delta function ⋮ Ten misconceptions from the history of analysis and their debunking ⋮ Cauchy's work on integral geometry, centers of curvature, and other applications of infinitesimals ⋮ 19th-century real analysis, forward and backward ⋮ Cauchy and Puiseux: Two Precursors of Riemann ⋮ Differentials and differential coefficients in the Eulerian foundations of the calculus. ⋮ A new look at e.g. Björling and the Cauchy sum theorem ⋮ Leibniz's infinitesimals: their fictionality, their modern implementations, and their foes from Berkeley to Russell and beyond ⋮ Did Weierstrass’s differential calculus have a limit-avoiding character? His definition of a limit inϵ–δstyle ⋮ Definite values of infinite sums: Aspects of the foundations of infinitesimal analysis around 1820 ⋮ Cauchy's Continuum ⋮ God, king, and geometry: revisiting the introduction to Cauchy's \textit{Cours d'analyse} ⋮ Controversies in the foundations of analysis: comments on Schubring's \textit{Conflicts} ⋮ The intermediate value theorem and decision-making in psychology and economics: an expositional consolidation ⋮ Exceptions and counterexamples: understanding Abel's comment on Cauchy's theorem ⋮ Mechanizing Nonstandard Real Analysis
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