On the Euler series

On the Euler series

This study presents three different proofs that the Euler series converges to n26. These are the following: 00 n=1 1 n21) Euler's proof 2) proof using trigonometry and algebra, and 3) proof involving real integral with an imaginary value. The researcher also gives initial steps to his own...

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Bibliographic Details
Main Author: Uy, Philip B.
Format: text
Language:English
Published: Animo Repository 1994
Subjects:
Euler products
Series, Geometric
Equations > Numerical solutions
Harmonic functions
Partial sums (Series)
Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/16183
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Institution: De La Salle University
Language: English
Description
Summary:This study presents three different proofs that the Euler series converges to n26. These are the following: 00 n=1 1 n21) Euler's proof 2) proof using trigonometry and algebra, and 3) proof involving real integral with an imaginary value. The researcher also gives initial steps to his own proof and discusses one important application of the Euler Sum to probability.

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