Titlebook: A Modern View of the Riemann Integral; Alberto Torchinsky Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive licen

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Chivalrous

https://doi.org/10.1007/978-3-540-77869-1 of 1853. He had spent 30 months working on the dissertation, and in the fourth section, entitled “Ueber den Begriff eines bestimmten Integrals und den Umfang seiner Gültigkeit” (“On a notion of a definite integral and the scope of its validity”), Riemann introduced the following condition for a fun

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maintenance

A Modern View of the Riemann Integral978-3-031-11799-2Series ISSN 0075-8434 Series E-ISSN 1617-9692

無(wú)政府主義者

https://doi.org/10.1007/978-3-540-77869-1 of 1853. He had spent 30 months working on the dissertation, and in the fourth section, entitled “Ueber den Begriff eines bestimmten Integrals und den Umfang seiner Gültigkeit” (“On a notion of a definite integral and the scope of its validity”), Riemann introduced the following condition for a function to have an integral on an interval.

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Alberto TorchinskyShowcases the full capabilities of the Riemann integral from Riemann’s original viewpoint.Establishes new results and methods for approaching computations and applications.Offers numerous historical i

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新奇

https://doi.org/10.1007/978-981-19-6215-8In Chap. 3 we prove a basic convergence theorem for the Riemann integral, which, in particular, gives the Riemann–Lebesgue lemma of Fourier series in its various formulations. We also cover the Weierstrass algebraic and polynomial approximation theorems.

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