دورية أكاديمية

Introducing Calculus Students to Riemann Products.

التفاصيل البيبلوغرافية
العنوان: Introducing Calculus Students to Riemann Products.
المؤلفون: Savoye, Philippe
المصدر: MathAMATYC Educator; Spring2024, Vol. 15 Issue 3, p24-29, 6p
مصطلحات موضوعية: CALCULUS, DISCRETE mathematics, INTEGRAL calculus, DEFINITE integrals, RIEMANN-Hilbert problems
مستخلص: The given text discusses the use of Riemann approximating sums in calculus courses. It explains how Riemann products can be used to evaluate limits and emphasizes the importance of a specific condition for these products to approach 1 as N approaches infinity. The text also explores the convergence of infinite products and their relationship to infinite series. It provides a heuristic derivation of the limiting values of Riemann products and their connection to Riemann sums. The article concludes by discussing the validity of switching the order of sums and provides a reference for further exploration in real analysis. [Extracted from the article]
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قاعدة البيانات: Supplemental Index