Über die Wechselwirkungen zwischen der franzoesischen Schule, Riemann und Weierstrass. Eine Übersicht mit zwei Quellenstudien

DOI10.1007/BF00357420zbMath0476.01002OpenAlexW2885191729MaRDI QIDQ1159601

Erwin Neuenschwander

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf00357420

zbMATH Keywords

RiemannbibliographyWeierstrassFrench schoolsource studies

Mathematics Subject Classification ID

History of mathematics in the 19th century (01A55) History of functions of a complex variable (30-03)

Related Items

A brief report on a number of recently discovered sets of notes on Riemann's lectures and on the transmission of the Riemann ``Nachlaß, Remarks on `Riemann's example' \(\sum_{n=1}^ \infty {\sin n^ 2x\over n^ 2}\) of a continuous, non-differentiable function, Der Beweis des Weierstraßschen Approximationssatzes 1885 vor dem Hintergrund der Entwicklung der Fourieranalysis. (The proof of Weierstraß's approximation theorem (1885) with regard to the development of Fourier analysis), Physics in Riemann’s Mathematical Papers, Riemanns frühe Notizen zum Mannigfaltigkeitsbegriff und zu den Grundlagen der Geometrie, Weierstraß's lecture on the ``Introduction to the theory of analytical functions, Documenting Riemann's impact on the theory of complex functions, A real sheet of complex Riemannian function theory: A recently discovered sketch in Riemann's own hand, Studies in the history of complex function theory. II: Interactions among the French school, Riemann, and Weierstrass, The Riemann-file Nr. 135 of the Philosophische Fakultät of the Georgia Augusta at Göttingen

Cites Work

• Riemann und das Weierstraßsche Prinzip der analytischen Fortsetzung durch Potenzreihen
• Problèmes de l'histoire de l'analyse mathématique au XIXeme siecle. Cas de Karl Weierstrass et de Richard Dedekind
• The emergence of the Weierstrassian approach to complex analysis
• The Casorati-Weierstrass theorem (studies in the history of complex function theory I)
• Riemann's example of a continuous, 'nondifferentiable' function
• Der Nachlaß von Casorati (1835 - 1890) in Pavia
• Riemann's example of a continuous nondifferentiable function continued
• Riemann, Betti and the birth of topology
• The concept of function in the 19-th and 20-th centuries, in particular with regard to the discussions between Baire, Borel and Lebesgue
• Éléments d'analyse de Karl Weierstrass
• History of the Riemann Mapping Theorem
• Charles Méray (1835-1911) et la notion de limite.
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