Title

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 Department

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

Print

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)

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