Some properties of sums of powers of integers
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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | text |
| Language: | English |
| Published: |
Animo Repository
1997
|
| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/16342 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | De La Salle University |
| Language: | English |
| 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. |
|---|