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Éléments d'analyse de Karl Weierstrass - MaRDI portal

Éléments d'analyse de Karl Weierstrass

From MaRDI portal
Publication:2560214

DOI10.1007/BF00343406zbMath0259.01012WikidataQ56040406 ScholiaQ56040406MaRDI QIDQ2560214

Pierre Dugac

Publication date: 1973

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




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Peano's axioms in their historical context, As Notas de Aula de Karl Weierstrass em 1878, 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), Periodic words connected with the tribonacci-Lucas numbers, Weierstrass as a reader of Poincaré's early works, Abstraction by Embedding and Constraint-Based Design, Defining continuity of real functions of real variables, 19th-century real analysis, forward and backward, The first and most elementary construction of real numbers -- by Karl Weierstraß, Non-euclidean geometry and Weierstrassian mathematics: The background to Killing's work on Lie algebras, Physics in Riemann’s Mathematical Papers, Riemann Surfaces: Reception by the French School, Über die Wechselwirkungen zwischen der franzoesischen Schule, Riemann und Weierstrass. Eine Übersicht mit zwei Quellenstudien, The fundamental theorem of projective geometry: evolution of its proof between 1847 and 1900, The notion of variable quantities \(\omega\) in Bolzano's early works, Cultivating a research imperative: mentoring mathematics at \textit{Stockholms Högskola}, 1882--1887, Irrational numbers in English language textbooks, 1890--1915: Constructions and postulates for the completeness of the real numbers, Did Weierstrass’s differential calculus have a limit-avoiding character? His definition of a limit inϵδstyle, On the differentiability of continuous functions -- Ampère's proof and its consequences, Weierstraß's lecture on the ``Introduction to the theory of analytical functions, On the History of Number Line, Weierstrass's construction of the irrational numbers, 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, Weierstraß and the theory of matrices, Notes et documents sur la vie et l'œuvre de René Baire, Riemann's example of a continuous, 'nondifferentiable' function, Riemanns Einfluß auf E. Betti und F. Casorati, Le funzioni a periodi multipli nella corrispondenza tra Hermite e Casorati, Der Nachlaß von Casorati (1835 - 1890) in Pavia, Historia epsylontyki, An unknown part of Weierstraß's Nachlaß, The Neil Bibby Lecture 2006: From Archimedes to limits: understanding real analysis, Book review of: W. König (ed.) and J. Sprekels (ed.), Karl Weierstraß (1815--1897). Aspekte seines Lebens und Wirkens -- aspects of his life and work, Sur les fondements de l'analyse en France (a partir de lettres inedites de G. Darboux et de l'étude des différentes editions du Cours d'analyse de C. Jordan), Studies in the history of complex function theory. II: Interactions among the French school, Riemann, and Weierstrass, The shaping of the Riesz representation theorem: A chapter in the history of analysis, On the relations between Georg Cantor and Richard Dedekind



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