Titlebook: Sharpening Mathematical Analysis Skills; Alina Sîntămărian,Ovidiu Furdui Textbook 2021 The Editor(s) (if applicable) and The Author(s), un

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Problem Books in Mathematicshttp://image.papertrans.cn/s/image/866511.jpg

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https://doi.org/10.1007/978-3-030-77139-3mathematical analysis; sequences; series; limits; derivatives; integrals; power series; quadratic series; co

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Series of Real Numbersown ways. Most of the problems about the exact calculation of the value of a series are new in the literature and vary in diversity as well as in difficulty. Their topics range from the calculation of series involving harmonic numbers and factorials to exotic series involving tails of Riemann zeta function values.

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Power Seriester also includes, as applications, the calculation of single and multiple series involving Riemann zeta function values. The last section of this chapter collects several nonlinear Euler series which are new in the literature, but the original problems can be found in other sections, too.

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0941-3502 een in regular textbooks.Offers original problems of mathemaThis book gathers together a novel collection of problems in mathematical analysis that are challenging and worth studying. They cover most of the classical topics of a course in mathematical analysis, and include challenges presented with

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Series of Real Numbersgarding the convergence, the problems can be solved by using the classical way, i.e. the well-known convergence tests for numerical series, or less known ways. Most of the problems about the exact calculation of the value of a series are new in the literature and vary in diversity as well as in diff