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Euler und das ’Cauchysche’ Konvergenzkriterium. (German) Zbl 0335.01015

MSC:

01A50 History of mathematics in the 18th century
40-03 History of sequences, series, summability
01A55 History of mathematics in the 19th century
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[1] B. Bolzano, Rein analytischer Beweis des Lehrsatzes etc. (1817); Nachdruck, mit Anmerkungen vonPhilip E. B. Jourdain, Ostwalds Klassiker153, Leipzig 1905. · JFM 37.0446.05
[2] H. Burckhardt, Über den Gebrauch divergenter Reihen in der Zeit von 1750–1860. Math. Ann.70 (1911), 169–206. · JFM 42.0264.01 · doi:10.1007/BF01461156
[3] A. L. Cauchy, Cours d’analyse, 1821; hier: Oeuvres (2)3, 115–116.
[4] L. Euler, De progressionibus harmonicis observationes; Comm. Petropol.7 (1734/35); Op. omn. (1)14, 88–100.
[5] G. Faber, Übersicht über die Bände 14, 15, 16, 16* der ersten Serie, in Euleri Opera Omnia (1)16, VII–CXV (1935).
[6] H. Freudenthal, Did Cauchy Plagiarize Bolzano? Arch. Hist. Ex. Sci.7 (1971), 375–392. · Zbl 0246.01010 · doi:10.1007/BF00327099
[7] I. Grattan-Guinness, Bolzano, Cauchy, and the New Analysis of the Early Nineteenth Century. Arch. Hist. Ex. Sci.6 (1970), 372–400. · Zbl 0198.00601 · doi:10.1007/BF00329818
[8] J. E. Hofmann, Um Eulers erste Reihenstudien. Sammelband zu Eulers 250. Geburtstag. Berlin 1959, S. 139–208. · Zbl 0103.00501
[9] R. Reiff, Geschichte der unendlichen Reihen, Tübingen, 1889; Nachdruck Wiesbaden 1969.
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