``The last aim is always the representation of a function: foundation of analysis in Weierstrass in 1886, historical roots and parallels

DOI10.1016/0315-0860(92)90001-RzbMath0768.01007MaRDI QIDQ1206482

Detlef Laugwitz

Publication date: 1 April 1993

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

zbMATH Keywords

functionmathematical physicsJohn Bernoullidelta-functionsCauchy's reputed errors

Mathematics Subject Classification ID

History of mathematics in the 19th century (01A55) History of real functions (26-03)

Cites Work

• 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)
• Foundations of analysis in C. F. Gauss. I: Trigonometric series
• Convolutions in French mathematics, 1800-1840. Volume I: The settings. Volume II: The turns. Volume III: The data
• Definite values of infinite sums: Aspects of the foundations of infinitesimal analysis around 1820
• The mathematical and philosophical foundations of Weierstraß's notion of number between Bolzano and Cantor
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