Geometry and analysis in Anastácio da Cunha's calculus

DOI10.1007/s00407-023-00313-1OpenAlexW4380049345MaRDI QIDQ6050208

João Caramalho Domingues

Publication date: 12 October 2023

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

Full work available at URL: https://doi.org/10.1007/s00407-023-00313-1

zbMATH Keywords

18th-century mathematicshistory of mathematics in Portugalgeometrical interpretation of analysis

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50)

Cites Work

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• Leonhard Euler's use and understanding of mathematical transcendence
• José Anastácio da Cunha: a forgotten forerunner
• Anastácio da Cunha and the concept of convergent series
• The calculus as algebraic analysis: Some observations on mathematical analysis in the 18th century
• Differentials, higher-order differentials and the derivative in the Leibnizian calculus
• The first modern definition of the sum of a divergent series: An aspect of the rise of 20th century mathematics
• Conceptualism and contextualism in the recent historiography of Newton's \textit{Principia}.
• Variables, limits, and infinitesimals in Portugal in the late 18th century.
• Nominalism and constructivism in seventeenth-century mathematical philosophy
• Joseph Louis Lagrange's algebraic vision of the calculus
• Étienne Bézout in Portugal: the reform of the Portuguese University and beyond (1772--1838)
• Lacroix and the calculus
• J. A. da Cunha et les fondements de l'analyse infinitésimale
• The repercussion of José Anastácio da Cunha in Britain and USA in the nineteenth century

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