Some observations on the development of the mathematical analysis in the 19th century. (Q2864490)
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scientific article; zbMATH DE number 6236486
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some observations on the development of the mathematical analysis in the 19th century. |
scientific article; zbMATH DE number 6236486 |
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6 December 2013
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function
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convergence
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integral
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0.84930956
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0.84536934
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0.8440693
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Some observations on the development of the mathematical analysis in the 19th century. (English)
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The paper is a clean and readable text with the following sections: On the notion of a function; A.-L. Cauchy; About the convergence of series and sequences of functions; Continuous functions and their derivatives; Arithmetical methods in the analysis; Karl Weierstrass; On the development of the notion of an integral (including the ideas of the 17th and the 18th century); Cauchy and his approach to the integration; Bernhard Riemann; The Riemann integral; The improper integral; Riemann's example of a discontinuous function; The Darboux integral; Zero sets; and The Jordan-Peano measure.NEWLINENEWLINEFor the entire collection see [Zbl 0989.00025].
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