2004arXiv (Cornell University)Open access

On Bernoulli Numbers and Its Properties

Lin Cong

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Abstract

In this survey paper, I first review the history of Bernoulli numbers, then examine the modern definition of Bernoulli numbers and the appearance of Bernoulli numbers in expansion of functions. I revisit some properties of Bernoulli numbers and the history of the computation of big Bernoulli numbers.

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In this survey paper, I first review the history of Bernoulli numbers, then examine the modern definition of Bernoulli numbers and the appearance of Bernoulli numbers in expansion of functions. I revisit some properties of Bernoulli numbers and the history of the computation of big Bernoulli numbers.

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Available abstract

In this survey paper, I first review the history of Bernoulli numbers, then examine the modern definition of Bernoulli numbers and the appearance of Bernoulli numbers in expansion of functions. I revisit some properties of Bernoulli numbers and the history of the computation of big Bernoulli numbers.

Key concepts: Bernoulli's principle, Bernoulli number, Bernoulli process, Bernoulli polynomials, Mathematics, Computation, Discrete mathematics, Combinatorics

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