On the Euler series
Date of Publication
1994
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/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.
Abstract Format
html
Language
English
Format
Accession Number
TU06659
Shelf Location
Archives, The Learning Commons, 12F Henry Sy Sr. Hall
Physical Description
58 leaves
Keywords
Euler products; Series, Geometric; Equations--Numerical solutions; Harmonic functions; Partial sums (Series)
Recommended Citation
Uy, P. B. (1994). On the Euler series. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16183
