Some properties of sums of powers of integers
Date of Publication
1997
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This thesis is an exposition on some attributes of the sums of powers of the first n positive integers: sk(n)=n i=1. Its central feature consists of the statement of three important theorems about these sums and their proofs provided in detail. Some consequences of these theorems are likewise given including derivations of identities relating any two of the sums. There is also a discussion about the derivations of sums of small powers using the Pascal triangle.
Abstract Format
html
Language
English
Format
Accession Number
TU07657
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
64 leaves
Keywords
Rings of integers; Polynomials; Combinations; Binomial coefficients; Induction (Mathematics)
Recommended Citation
Escano, R. V., & Gervacio, A. S. (1997). Some properties of sums of powers of integers. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16342
