Cauchy and the infinitely small

DOI10.1016/0315-0860(78)90117-9zbMath0405.01011OpenAlexW2045326857MaRDI QIDQ1256997

Gordon M. Fisher

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0315-0860(78)90117-9

zbMATH Keywords

Cauchy and the Infinitely Small

Mathematics Subject Classification ID

History of mathematics in the 19th century (01A55) History of real functions (26-03) Nonstandard analysis (26E35)

Related Items

Cauchy's infinitesimals, his sum theorem, and foundational paradigms, Infinitely small quantities in Cauchy's textbooks, Nonstandard Analysis, Infinitesimals, and the History of Calculus, Alpha-theory: An elementary axiomatics for nonstandard analysis, The infinite and infinitesimal quantities of du Bois-Reymond and their reception, 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, Exceptions and counterexamples: understanding Abel's comment on Cauchy's theorem

Cites Work

• Proofs and Refutations
• Cauchy, Convergence and Continuity
• Non-standard analysis
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