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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1994
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oai:animorepository.dlsu.edu.ph:etd_bachelors-166962021-11-13T03:54:02Z On the Euler series Uy, Philip B. 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. 1994-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16183 Bachelor's Theses English Animo Repository Euler products Series, Geometric Equations--Numerical solutions Harmonic functions Partial sums (Series) |
| institution |
De La Salle University |
| building |
De La Salle University Library |
| continent |
Asia |
| country |
Philippines Philippines |
| content_provider |
De La Salle University Library |
| collection |
DLSU Institutional Repository |
| language |
English |
| topic |
Euler products Series, Geometric Equations--Numerical solutions Harmonic functions Partial sums (Series) |
| spellingShingle |
Euler products Series, Geometric Equations--Numerical solutions Harmonic functions Partial sums (Series) Uy, Philip B. On the Euler series |
| description |
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. |
| format |
text |
| author |
Uy, Philip B. |
| author_facet |
Uy, Philip B. |
| author_sort |
Uy, Philip B. |
| title |
On the Euler series |
| title_short |
On the Euler series |
| title_full |
On the Euler series |
| title_fullStr |
On the Euler series |
| title_full_unstemmed |
On the Euler series |
| title_sort |
on the euler series |
| publisher |
Animo Repository |
| publishDate |
1994 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/16183 |
| _version_ |
1772835001192153088 |