The infinite and infinitesimal quantities of du Bois-Reymond and their reception

DOI10.1007/BF00348259zbMath0503.01006MaRDI QIDQ1173086

S. Singh

Publication date: 1981

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

zbMATH Keywords

convergencecontinuumtopologyRusselldivergencePringsheimfunctional analysisalgebraCantorHausdorffPeanoHardyDedekindinfinite numbersinfinitesimal numbersnon- archimedean fieldsStolz, Borel

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of mathematics in the 19th century (01A55)

Related Items (12)

On countable cofinality and decomposition of definable thin orderings ⋮ Nonstandard Analysis, Infinitesimals, and the History of Calculus ⋮ The continuity program between Cantor and nonstandard analysis. ⋮ Who gave you the Cauchy-Weierstrass tale? The dual history of rigorous calculus ⋮ A Cauchy-Dirac delta function ⋮ Pre‐Robinson approach to the theory of infinitesimals ⋮ An infinity which depends on the axiom of choice ⋮ The Absolute Arithmetic Continuum and the Unification Of all Numbers Great and Small ⋮ Bisecting Horn Angles ⋮ Infinitesimals via Cauchy sequences: refining the classical equivalence ⋮ The rise of non-Archimedean mathematics and the roots of a misconception. I: The emergence of non-Archimedean systems of magnitudes ⋮ Debates about infinity in mathematics around 1890: The Cantor-Veronese controversy, its origins and its outcome

Cites Work

• Foundations of set theory
• Cauchy and the infinitely small
• Aus den Briefbüchern Georg Cantors
• Abstract set theory
• Ordered differential fields
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