Linear Algebraic Approach to Formulate A New Recurrence Relation for Bernoulli Numbers from the Power-Sum of Natural Numbers with Experiments on Pedagogy

Md. Shafiqul Islam, S. Bhowmick
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Abstract

In this article, a new recurrence relation formula for Bernoulli numbers have been derived, and sum of integer exponents of natural numbers has been revisited from this novel perspective. Some interesting pedagogical experiments on wording and presentation of mathematical derivation have been attempted, and development from first principle have been undertaken in line with this experimental approach.
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用线性代数方法从自然数的幂和推导bernouln数递归关系及教育学实验
本文导出了一个新的伯努林数递推关系公式,并从这个新角度重新考察了自然数的整数指数和。在数学推导的措辞和表示方面进行了一些有趣的教学实验,并根据这种实验方法进行了从第一原理的发展。
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