Strategical use(s) of arithmetic in Richard Dedekind and Heinrich Weber's \textit{Theorie der algebraischen Funktionen einer Veränderlichen}

DOI10.1016/j.hm.2016.09.002zbMath1367.01016OpenAlexW2535140754MaRDI QIDQ508123

Emmylou Haffner

Publication date: 9 February 2017

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

Full work available at URL: https://doi.org/10.1016/j.hm.2016.09.002

zbMATH Keywords

algebraic functionsarithmetical rewritingRiemann's function theory

Mathematics Subject Classification ID

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

Related Items (2)

Insights into Dedekind and Weber's edition of Riemann's \textit{Gesammelte Werke} ⋮ The shaping of Dedekind's rigorous mathematics: what do Dedekind's drafts tell us about his ideal of rigor?

Cites Work

• The correspondence Richard Dedekind -- Heinrich Weber. Edited by Thomas Sonar, in cooperation with Karin Reich.
• How discrete patterns emerge from algorithmic fine-tuning: a visual plea for Kroneckerian finitism
• The Riemann-Roch theorem and geometry, 1854-1914
• The genesis of ideal theory
• Dedekinds Bunte Bemerkungen zu Kroneckers Grundzuege
• Hidden harmony -- geometric fantasies. The rise of complex function theory
• Frobenius and the symbolical algebra of matrices
• Generality above Abstraction: The General Expressed in Terms of the Paradigmatic in Mathematics in Ancient China
• Dedekind's Invention of Ideals
• D’un point de vue rigoureux et parfaitement général : pratique des mathématiques rigoureuses chez Richard Dedekind
• Emmy Noether
• Dedekind et le programme de Riemann. Suivi de la traduction de Analytische Untersuchungen zu Bernhard Riemann's Abhandlungen uber die Hypothesen, welche der Geometrie zu Grunde Liegen par R. Dedekind
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